The value of a is [tex]-\frac{12}{5}[/tex] if 2 is a zero of the polynomial [tex]$4 x^2-2 x+5 a$[/tex].
As per the given data, the polynomial is p(x) = [tex]$4 x^2-2 x+5 a$[/tex]
The polynomial is zero polynomial if x is 2
The places where a polynomial becomes zero overall are known as the zeros of the polynomial. The term "zero polynomial" refers to a polynomial with a value of zero (0).
Replace x with 2 we get
Therefore [tex]4(2)^2-2(2)+5 \mathrm{a}=0[/tex]
[tex]\Rightarrow[/tex] 4 (4) - 2 (2)+5 (a) = 0
[tex]& \Rightarrow[/tex] 16 - 4 + 5 (a) = 0
[tex]& \Rightarrow[/tex] 12 + 5 (a) = 0
Add -12 on both sides we get
12 + 5 (a) - 12 = 0 - 12
5 (a) = -12
Divided by 5 into both sides we get
a = [tex]-\frac{12}{5}[/tex]
Therefore the value of a is [tex]-\frac{12}{5}[/tex]
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According to the 2000 U.S. Census, 7 out of every 25 homes are heated by electricity. At this rate, predict how many homes in a community of 12,000 would be heated by electricity.a.6,725 homesb.3,100 homesc.3,360 homesd.4,020 homes
In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. In light of this, the 2000 census indicates that 3,360 out of 12,000 houses use electricity for heating.
How many homes use electricity for heating in U.S. Census?Because we've already done it 7 out of every 25 residences are heated by electricity, according to the 2000 U.S. census.At this rate, we must determine how many residences in a 12000-person neighbourhood would be heated by electricity.Let x be the number of homes in a neighbourhood that would be heated by electricity.There being a direct variation
The result is that , A neighbourhood of 12000 people with 3360 dwellings that use electricity for heating. In 7/25 households, electricity is used for heating. By multiplying by 20,000. You'll receive 3,360. According to the 2000 Census, 3,360 dwellings out of 12,000 are heated by electricity.
[tex]$\frac{7}{25}=\frac{x}{12000}$[/tex]
[tex]$x={7 \times 12000}/{25}$$x=3360$[/tex]
As a result, 3360 households out of the 12000 in the community use electricity for heating.
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Solve for x.
-10 <-2x +4≤8
Enter your answer, as one inequality, in the box.
The solution of the inequality is x < 7 and x >= -2.
What is linear inequality?
An inequality is a mathematical statement comparing two values or expressions, usually involving one of the following relational operators: < (less than), > (greater than), <= (less than or equal to), >= (greater than or equal to), or != (not equal to). The solution to inequality is a set of values that make the inequality true.
To solve the inequality -10 < -2x + 4 ≤ 8, we have to solve the inequality twice because of the less than or equal to symbol and greater than or equal to symbol.
First we have to solve -10 < -2x + 4
-2x + 4 > -10
-2x > -14
x < 7
Second, we have to solve -2x + 4 <= 8
-2x + 4 <= 8
-2x <= 4
x >= -2
Hence, the solution of the inequality is x < 7 and x >= -2. This solution is represented by all the values of x that are less than 7 and greater than or equal to -2.
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A boy wants a game which cost $180, but he only has 1/3 of the money, how much more money does he need to buy the game?
Answer: $120
Step-by-step explanation:
So you find 1/3 of 180, basically, you multiply them which is 60.
So if he has a third of the money, he has $60, but he needs 180. So we subtract $180 (how much money he needs) from $60 (the money he has). Which is 120 dollars, so the boy needs $120.
Or 2/3 more.
For the equation f(x) = -3x7 + 2x- 1, identify the vertex, line of symmetry, and y intercept
The vertex of the equation is (0, -1), the line of symmetry is x = 0 and the y-intercept is (0,-1).
For the equation f(x) = [tex]-3x^7[/tex] + 2x - 1, the vertex is the highest or lowest point on the parabola and it can be found by completing the square method.
To find the line of symmetry, we can set the function equal to zero and solve for x. The x-coordinate of the vertex is the same as the line of symmetry.
The y-intercept is the point at which the parabola crosses the y-axis, and it can be found by setting x equal to zero and solving for y.
The vertex of the parabola:
The equation is in form f(x) = a[tex](x-h)^2[/tex] + k, where a is -3, h is the x-coordinate of the vertex and k is the y-coordinate of the vertex. In this case, h = 0 and k = -1.So the vertex is (0, -1)The line of symmetry:
We can set the function equal to zero and solve for x:[tex]-3x^7[/tex] + 2x - 1 = 0The x value that makes the equation equal to zero is x = 0So the line of symmetry is x = 0The y-intercept:
We can set x equal to zero and solve for y: f(0) = [tex]-3(0)^7[/tex] + 2(0) - 1 = -1So the y-intercept is (0, -1)To learn more about vertex, line of symmetry, and intercept at
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What is the domain of the following function?
Therefore , the solution of the given problem of equation comes out to be each diagonal measures 8.4 units in length..
Define equation.An equation is a mathematical representation of two equal variables, one on each side of a "equals" sign. Everyday issues can be resolved with equations. We commonly look for pre algebra help to deal with problems in real life. Pre-algebra contains the fundamental concepts of mathematics.
Here,
Given: 16x + 2 = 36x - 6
8 = 20x
x = 8/20,
simplifying to 2/5, or 0.4
You would set the two equations equal to one another and find x because a rectangle's diagonals are congruent.
Re-enter the value of x into a single of the equations.
=>16(0.4) + 2
=>6.4 + 2
=>8.4
To make sure, confirm with the other diagonal.
=>36(0.4) - 6
=>14.4 - 6
=>8.4
Each diagonal measures 8.4 units in length..
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The complete question is "To find the diagonal x value by the given equation 16x + 2 = 36x - 6 "
What must be added to 5x³ 2x² 6x 7 to make the sum X 3x² x 1?
To make the sum X 3x² x 1, you must add -5x³ -2x² -6x -7 to 5x³ 2x² 6x 7.
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
These expressions are represented with the help of unknown variables, constants and coefficients. The combination of these three (as terms) is said to be an expression. It is to be noted that, unlike the algebraic equation, an algebraic expression has no sides or equal to sign.
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What additional information would be necessary to determine sin a without using the Pythagorean theorem explain brainly?
The Pythagorean Theorem, often known as Pythagoras Theorem, is a crucial concept in mathematics that describes how the sides of a right-angled triangle relate to one another. Pythagorean triples are another name for the sides of the right triangle. Here, examples help to demonstrate the formula and proof of this theorem.
In essence, the Pythagorean theorem is used to determine a triangle's angle and length of an unknown side. This theorem allows us to obtain the hypotenuse, perpendicular, and base formulae.
In order to determine sin a without using the Pythagorean theorem, we will need to have the value of the opposite side and angle. Sin (a) = opposite / hypotenuseHere, the hypotenuse is not given, so we will need to have the value of the opposite side and angle (a) in order to determine sin a without using the Pythagorean theorem.
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A truck uses 2.5 litres of fuel to travel 8 kilometres.
a How far will the truck travel on 1 litre of fuel?
b How far will the truck travel on 120 litres of fuel?
Answer:
a：20 km
b：384
Step-by-step explanation:
a：
[tex] \frac{2.5}{ 8} = \frac{1}{x} [/tex]
[tex]x = 20[/tex]
b：
[tex] \frac{2.5}{8} = \frac{120}{y} [/tex]
[tex]y = 384[/tex]
What are quadrants examples?
The examples for each of the quadrant is explained below.
Quadrant in math is defined as one of the four regions or sections of the coordinate system and the quadrants are separated by the x-axis and the y-axis and these axes are perpendicular to each other.
Here we have to know the value that must be placed on each quadrant.
Here the first quadrant has both x and y-coordinates are positive.
The second quadrant has the value of the x-coordinate is negative and the y-coordinate is positive.
The third quadrant has both x and y-coordinates are negative.
The fourth quadrant has the value of the x-coordinate is positive and the y-coordinate is negative.
Therefore, the example for each of them are written as
=> Quadrant I = (1, 1)
=> Quadrant II = (-1, 1)
=> Quadrant III = (-1, -1)
=> Quadrant IV = (1, -1)
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A pair of 8-sided dice have sides numbered 1 through 8. Each side has the same probability (chance) of landing face up. What is the probability that the product of the two numbers on the sides that land face-up exceeds 36
5/32 of the time, the product of the two numbers on the face-up sides will be greater than 36.
What is meant by probability?The likelihood of an event happening is gauged by probability. Many things are impossible to completely predict in advance. Using it, we can only make predictions about how probable an event is to happen, or its chance of happening.
There are 64 possible options to look at (8 x 8).
If one die is a 1, then no combinations will be possible, even if the other die is an 8.
If one dice is a 2, then no combinations will be possible, even if the other die is an 8.
If one dice is a 3, then no combinations will be possible, even if the other die is an 8.
If one die is a 4, then no combinations will be possible, even if the other die is an 8.
If one die is a 5, the second die must be an 8 for the result to be more than 36. So, (5, 8) is effective.
If one die is a 6, the second die must be a 7 or an 8 to produce a result greater than 36. Therefore, both (6, 7) and (6, 8) are valid.
If one die is a 7, the other die can be a 6, 7, or 8 to get a result that is more than 36. As a result, (7, 6), (7, 7) and (7, 8) all function.
If one die is an 8, the other die can be a 5, 6, 7, or 8 to get a result that is more than 36. Therefore, (8, 5), (8,6), (8,7), and (8,8) are valid.
Out of a total of 64 possible combinations, there are a total of 1 + 2 + 3 + 4 = 10 that are successful.
As a result, the response is 5/32 because 10/64 = 5/32.
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write a verbal expression for the algebraic expression
please help
A verbal expression for the given algebraic expression are as follows:
10. The product of a and b
11. Four times the sum of x and seven
12. Twice the value of x
13. The cube of m
14. The difference between x and six
15. Eight hundred twelve
16. The value of y
17. The average of x and y
18. Three times x minus four
19. Five times the difference of a and b
Write the difference between verbal expression and algebraic expressions?Verbal expressions are sentences that express a mathematical concept or equation. They use words, such as "twice the number," "the product of," or "sum of," as opposed to symbols and operations. Verbal expressions are often used to explain math problems or to pose questions.Algebraic expressions, on the other hand, use symbols and operations to express mathematical concepts. Symbols such as +, -, x, and / can be used to represent addition, subtraction, multiplication and division, respectively. Algebraic expressions are also used to simplify equations and can be used to solve math problems. For example, an algebraic expression such as "2x + 3y" can represent the sum of two numbers multiplied by two and three, respectively.The main difference between verbal expressions and algebraic expressions is that verbal expressions use words to explain a mathematical concept while algebraic expressions use symbols and operations. Verbal expressions are often used to explain a problem while algebraic expressions are used to solve the problem.To learn more about algebraic expressions refer to:
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The table shown represents a linear relationship. x 0 1 3 4 y −8 −6 −2 0 Based on the table, what is the equation of the linear relationship in slope-intercept form? y = 2x − 8 y = 2x + 8 y = −2x + 4 y = −2x − 4
Based on the table, an equation of the linear relationship in slope-intercept form include the following: A. y = 2x − 8
What is the slope-intercept form?Mathematically, the slope-intercept form of a line can be calculated by using this equation:
y = mx + c
Where:
m represents the slope.x and y are the data points.c represents the y-intercept.Next, we would determine the slope of the data points in this table as follows;
Slope, m = (Change in y-axis, Δy)/(Change in x-axis, Δx)
Slope, m = (y₂ - y₁)/(x₂ - x₁)
Slope, m = (-6 - (-8))/(1 - 0)
Slope, m = 2/1
Slope, m = 2.
At point (0, -8), an equation of this line can be calculated in slope-intercept form as follows:
Note: The y-intercept is equal to -8.
y = mx + c
y = 2x + (-8)
y = 2x - 8.
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Answer:
A. y = 2x − 8
Step-by-step explanation:
best buy has a sale on video games and dvds for labor day weekend Katie bought 2 games and 3DVD's and spent $134 dollars Emily bought 1 less game but 2 more DVD's and spent $179 how much does each DVD and game cost
Each video game = $19 and each DVD = $ 32
What is equation?An equation is a mathematical statement that represent that two expressions are equal. An equation can be formed by one or more variables along with numerical terms.
How to solve the equation as stated in the question?let, x denotes the cost of each video games.
y denotes the cost of each DVD
Katie bought 2 games and 3 DVD and total spent $134.
the equation can be written as 2x + 3y = $134 .......equation 1
Emily bought 1 less video game than Katie that means she bought 1 game.
and 2 more DVD than Katie that means 5 DVD bought by Emily.
total spent of Emily = $179
The equation will be x + 5y = $179...... equation 2
in order to solve the two equations by addition method
we multiply by 2 to the second equation.
2x + 10y = 358
the first equation 2x +3y = 134
2x + 10y = 358
- - -
by subtracting we get,
- 7y = -224
y = 32
from the 2nd equation we get x = -5×32 + 179
x = 19
each video game cost $ 19 and each DVD cost $ 32
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Hello what x of a triangle
Solving for X in a Right Triangle
Subtract the sum of the two angles from 180 degrees. The sum of all the angles of a triangle always equals 180 degrees. Write down the difference you found when subtracting the sum of the two angles from 180 degrees. This is the value of X
A forest covers 78,000 acres. A survey finds that 0. 4% of the forest is old-growth trees. How many
acres of old-growth trees are there?
There are
acres of old-growth trees.
Answer:
There would be 312 acres of old tree growth for 0.4% of the forest. There would be 31.2 acres of old tree growth for 0.04%. I wasn't sure if you meant 0.4 or 0.04.
help help help help use slope form to write the equation of a line that passes through the point (7,-16) with slope 3.
required equation is, y=3x-37.
What is slope?In mathematics, the slope or gradient of a line is a number that describes both the direction and the steepness of the line.
Here, given that,
we have to find,
the equation of a line that passes through the point (7,-16) with slope 3.
we know,
y = mx+c
i.e. -16 = 3*7+c
so, c= -37
hence, required equation is, y=3x-37.
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Identify the place value of the underlined digit.
1) 0.9838.47
3) 145.58
4) 0.005
5) 31.0643
The place value of the following underlined digit are as follows:
0.983 = hundredths.8.47 = hundredths.145.58 = tens.0.005 = tenths.31.0643 = unit.What is a place value?In Mathematics, a place value can be defined as a numerical value (number) which denotes a digit based on its position in a given number and it includes the following:
TenthsHundredthsThousandthsUnitTensHundredsThousands.Tens of thousands.Hundred of thousands.Millions.Tens of millions.Hundreds of millions.Billions.In this scenario, the underlined digit 8 in "0.983" has a place value of hundredths because it is located 2 places after the decimal point. Additionally, the underlined digit 4 in "145.58" has a place value of tens because it is located 2 places before the decimal point.
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Complete Question:
Identify the place value of the underlined digit.
1) 0.983
2) 8.47
3) 145.58
4) 0.005
5) 31.0643
You have $9 to spend on lip balm and hand sanitizer. The equation $1.5x+2.5y=9$ represents this situation, where x is tubes of lip balm and y is bottles of hand sanitizer. How many tubes of lip balm can you buy when you do not buy any bottles of hand sanitizer?
Answer:
6 tubes of lip balm
Step-by-step explanation:
We can start solving this problem by isolating the variable x.
Given the equation 1.5x + 2.5y = 9, and we know that y = 0 (because we're not buying any bottles of hand sanitizer), we can substitute this into the equation:
1.5x + 2.5(0) = 9
Simplifying this, we get:
1.5x = 9
To solve for x, we can divide both sides of the equation by 1.5:
x = 9/1.5
x = 6
So we can buy 6 tubes of lip balm if we do not buy any bottles of hand sanitizer
4. Find the value of each variable in the parallelogram.
Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.
A linear equation is precisely what?The algebraic equation y=mx+b stands in for a linear equation. The slope is m, and B is the y-intercept. The last phrase referred to a "simple formula with two elements" where both y and x are variables. Bivariate linear equations are calculations involving two variables. Here are a few examples: The outcomes are 2x - 3 = 0; 2y = 8; m + 1 = 0; x/2 = 3; x + y = 2; and 3x - y + z = 3. If the answer to a mathematical equation is in the form y=mx+b, where m denotes the slope and b the y-intercept, the equation is said to be linear.
Here,
Given :
According to parallelogram laws
adjacent side sum is 180 degree
=> 4y + 3x-18 = 180
=> 4y+3x = 162
and
2x+12+3z = 180
=> 2x + 3z = 168
and
=> 3x+3z = 162
=> x + z =54
=> z = 54-x
So,
2x + 3(54-x) = 168
=> 162 - 3x+2x =168
=> -x = 6
or x =-6
and
z = 60
and
y = 162 - 3x /4
=> y= 162 +18 /4
=> y =180/4
=> y = 45
Therefore , the solution of the given problem of linear equation comes out to be x= -6 , y = 45 and z =60.
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A submarine descends 175 ft underwater in 5 minutes. The rate of descent is constant. What is the rate of descent per minute?
In linear equation, 35 feet per minute is the rate of descent per minute.
What in mathematics is a linear equation?
A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.
Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.
It’s 35 feet per minute. 175 divided by 5 equals 35.
A submarine descends = 175 ft
Time = 5 minutes
The rate of descent is constant = 175/5
= 35 feet per minute
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What is numerical coefficient in 3xy?
The numerical coefficient in 3xy is 3.
In algebraic expressions, terms are made up of coefficients and variables. A coefficient is a numerical value that multiplies a variable or a set of variables. In the term 3xy, the numerical coefficient is the number that appears in front of the variable (x and y) and it's 3 in this case.
It is used to indicate the degree of the term or the number of times the variable is present in the term. In this case, it is indicating that the variable x and y are present three times in the term.
It's important to note that if there is no coefficient before the variable, it is assumed to be 1. It's also noteworthy that the coefficient can be a whole number, a fraction, or even a variable, but in this case it is a whole number. Understanding the concept of coefficient is very important in understanding algebraic equations and expressions.
The numerical coefficient in 3xy is 3.
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How can I do math fast?
To do Maths fast follow the steps:
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.What is Maths ?Mathematical subjects include quantities and their changes, forms and the spaces in which they are contained, formulae and associated structures, and numbers.
The scientific study of numbers, forms, and their meanings is known as mathematics. The majority of individuals use maths every day to measure and count. Geometry, algebra, and calculus are all forms of mathematics; nonetheless, they are typically referred to as single.
There are many ways to solve math problems, but a three-step technique is a streamlined approach that may assist anybody in solving even the most challenging issue.
Read attentively, comprehend, and specify the category of the issue.Draw a diagram of your issue.Create a plan to resolve it.Resolve the issue.To learn more about Maths refer to :
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A six-foot long ladder is leaning against a wall. The bottom of the ladder is 3 feet away from the wall. How high up the wall is the ladder
The six-foot long ladder is 3√5 feet high up the wall having 3 feet distance from bottom of the ladder.
How to find height ?The Pythagorean theorem states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides. In this case, the ladder is the hypotenuse, and the wall and the ground make up the other two sides.
The ladder is 6 feet long, and the bottom of the ladder is 3 feet away from the wall, so the triangle is a 3-4-5 right triangle, which means the wall is 3 feet high.
So, if we square the length of the ladder (6^2 = 36)
The length of the base (3^2 = 9),
and add them together, then take the square root of that, we get the height of the wall.
sqrt(36+9) = sqrt(45) = 3*sqrt(5)
so the ladder is 3√5 feet high up the wall.
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Compare the function ƒ(x) = 4x + 2 to the function shown in the graph. Which statements are correct?
Responses
A The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
B The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.The graphed function has a greater rate of change than the function ƒ(x) = 4x + 2.
C The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.The function ƒ(x) = 4x + 2 has a x-intercept with a greater value than the graphed function.
D The function ƒ(x) = 4x + 2 and the graphed function have the same slope.The function ƒ(x) = 4x + 2 and the graphed function have the same slope.
E The graphed function has a y-intercept with a greater value than the function ƒ(x) = 4x + 2.
The correct statement regarding the comparison of the linear functions f(x) and the graphed function is given as follows:
A. The function ƒ(x) = 4x + 2 has a greater rate of change than the graphed function.
What is a linear function?The slope-intercept definition of a linear function is given as follows:
y = mx + b.
In which:
m is the slope, representing the rate of change.b is the y-intercept, representing the initial value.The function f(x) is given as follows:
f(x) = 4x + 2.
The parameters are given as follows:
Rate of change of 4.Intercept of 2.For the function g(x), we have that:
The rate of change is of 2, as when x increases by 2, y increases by 4, hence m = 4/2 = 2.The intercept is of 4, as the function crosses the y-axis at y = 4.Hence the correct option is given by option a, as the function f(x) has a greater rate of change, of 4, compared to the graphed function, of 2.
Missing InformationThe graphed function is given by the image presented at the end of the answer.
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Can you help solve this.
The equation that best represents the line on the first graph is
5x + 3y = 3
Option C is the correct answer.
The equation that best represents the line on the second graph is
x - y = -7
Option A is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
Pick two coordinates that the line passes through in each graph.
First graph:
(0, 1) and (-3, 6)
m = (6 - 1)/ (-3 - 0) = 5/-3 = -5/3
(0, 1) = (x, y)
1 = (-5/3)0 + c
c = 1
Now,
y = (-5/3)x + 1
3y = -5x + 3
5x + 3y = 3
Second graph:
(0, 7) and (-5, 2)
m = (2 - 7) / (-5 - 0) = -5/-5 = 1
(0, 7) = (x, y)
7 = 1 x 0 + c
c = 7
y = x + 7
x - y = -7
Thus,
The equation of the first graph is 5x + 3y = 3.
The equation of the second graph is x - y = -7.
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1/4 + 3/8 (i would love a explanation)
A pizza delivery driver must make three stops on her route. She will leave the restaurant and travel 4 miles north to the first house. The next house is 6 miles away in the direction of east. She delivers the last pizza to the third stop, which is 5 miles south of the restaurant before she returns to the restaurant to pick up more pizza. What is her displacment for the entire trip
The displacement of the pizza delivery driver for the full journey is therefore 6.08 miles.
The pizza delivery driver's displacement for the entire trip is the total distance and direction that she travels from the restaurant to her last delivery and back.
To find her displacement, we can use the Pythagorean theorem to find the total distance from the start to the endpoint.
The displacement is the distance between the start and end point and the direction of the trip. Here we can see that she traveled 4 miles north, 6 miles east, and 5 miles south,
To find the displacement we will use the Pythagorean theorem (ax2 + bx2 = cx2)
where c is the displacement and a and b are the east-west and north-south distances respectively.
so, a = 6 miles (east-west)
b = (4 miles - 5 miles) = -1 miles (north-south)
so, c = √(ax2 + bx2)
c = √(6x2 + (-1)x2)
c = √(36 + 1)
c = √(37)
c = 6.08 miles
So the pizza delivery driver's displacement for the entire trip is 6.08 miles.
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Is polynomial Y^4+4Y^2+5 have zeroes or not?
Yes, polynomial Y^4+4Y^2+5 has zeroes. Its zeroes can be found by factoring or using the quadratic formula: Y = -2 +/- sqrt(4-5) / 2 = -1 +/- sqrt(-1) / 2 = -1 +/- i/2.
[tex]Y^4+4Y^2+5[/tex]
=[tex](Y^2+1)²-3[/tex]
=([tex]\sqrt{Y^2+1-sqrt3}[/tex])([tex]\sqrt{Y^2+1+sqrt3}[/tex])
=(Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1)
=(Y+ sqrt3)(Y-sqrt3)(Y²-1)
=(Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1)
=0
Therefore the zeroes are Y=-√3, Y=1, Y=√3, Y=-1
Polynomial Y^4+4Y^2+5 is a fourth degree polynomial equation and can be solved by factoring or using the quadratic formula. To solve this equation by factoring, we need to use the difference of squares method. First, we rewrite the equation as (Y^2+1)²-3. Then we factor out the square of the binomial (Y^2+1): (Y^2+1-sqrt3)(Y^2+1+sqrt3). Next, we expand the first binomial to get (Y+ sqrt3)(Y-sqrt3)(Y+1)(Y-1). Then, we factor out the second binomial from the first two terms to get (Y+ sqrt3)(Y-sqrt3)(Y²-1). Finally, we expand the last binomial to get (Y+ sqrt3)(Y-sqrt3)(Y-1)(Y+1). This results in a product of zero, which means the equation has zeroes. The zeroes are Y=-√3, Y=1, Y=√3, and Y=-1.
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what is the answer to 415÷23
Answer: 18
Step-by-step explanation:
Answer: 18.04347826086957
Step-by-step explanation: you could use a calculator too-
How do you make an XY graph in Excel?
Select the data for which you want to create a chart slope . Click INSERT > Recommended Charts. On the Recommended Charts tab, scroll through the list of charts that Excel recommends for your data
When you find the chart you like, click it > OK.
The formula for a horizontal line at y=4 is as follows: There is no slope. 4.0 is the y-intercept.
What are the Slope and intercepts ?
In mathematics, a line's slope, also known as its gradient, is a numerical representation of the line's steepness and direction.
The slope expresses how quickly the dependent variable changes when the independent variable changes. The Greek capital letter D or D is frequently used by mathematicians and economics to represent change. Slope contrasts the change in the vertical axis, y, with the change in the horizontal axis, x.
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