Answer:
x=-12/5
Step-by-step explanation:
2x-7=7x+5
2x-7x=5-(-7)
-5x=5+7
x=12/-5
x=-12/5
When x²+(1/x)=3 find x⁴-2x³-x²-2x+1=
(without using calculator)
so for given expression x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
Define Equation.The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
Define Algebraic expression.An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c.
we can start by squaring the equation x²+(1/x)=3
so we have x⁴ + 2x² + (1/x)² = 9
x⁴ + 2x² + 1 = 9x²
x⁴ - 7x² + 1 = 0
Now we can factor it
(x²-1)(x²-1) = 0
so x² = 1
now we can substitute x² = 1 in the equation x⁴-2x³-x²-2x+1
x⁴-2x³-x²-2x+1 = x⁴-2x³-1-2x+1
= x⁴-2x³-2x-1
= (x⁴-2x³) - (2x+1)
= x⁴-2x³-2x-1
= (x²-x)² - (2x+1)
= (x-1)² - (2x+1)
so x⁴-2x³-x²-2x+1 = (x-1)² - (2x+1)
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find the total surface area of this cuboid.
The total surface area of the cuboid is 2 (lh + lw+ hw) square units.
What is surface?A surface is the part of solid matter that can be touched by hand or seen with eyes. In other words, it is the place where the solid matter encounters the outside world through contact, light, etc. Solid matter not only effects humans with its surface, but also air, water, and other solid matter. Therefore, things around us work cooperatively with the outside world and with other things through surfaces, without a surface, solid matter would not be able to interact with anything.By changing the characteristics of solid matter, interactions such as the impact on the solid matter from other things (such as environmental conditions and people) as well as the effect that solid matter has on other things can be changed. In other words, certain features of the solid matter can be controlled as needed.To learn more about surface refer to:
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A simple random sample of 10 people were asked how many first cousins they have. The results are listed below.
10, 19, 20, 13, 13, 2, 10, 8, 25, 10
What is the mean number of first cousins for this sample?
10
11.5
13
13.5.
answer is 13
Answer:
13
Step-by-step explanation:
mean= (10+19+20+13+13+2+10+8+25+10)/10=130/10=13
The mean number of first cousins for the given sample is 13. Thus, Option C is correct.
Mean is the arithmetic average of the given set of observations.
Mean for ungrouped or raw data is obtained by adding all the observations and dividing it by the number of observations.
Mean = Sum of all the observations/ Total number of observations.
Mean = ∑( x1 + x2 + x3 .... xn /n)
Where X bar represents mean, n is no. of observations and ∑ denotes sigma i.e. sum of all the values.
No. of observations (n) =10
Mean = ∑ (10 + 19 + 20 + 13 + 13 + 2 + 10 + 8 + 25 + 10) / 10
Mean = 130 / 10
= 13
Therefore, Option C is the correct answer.
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HELP!! Find the value of…
Answer:
It C man.
Step-by-step explanation:
You don't need this
Kelvin and Lewie each design surveys in order to determine the average number of people who buy food at the mall. Kelvin surveys every other person leaving the food area. Lewie surveys every fifth person leaving the mall main entrance. Which set of survey results is most likely to show biased results for people who buy food at the mall
The set of survey results that is most likely to show biased results for people who buy food at the mall is Lewie's survey.
Lewie's survey samples only every fifth person leaving the mall's main entrance, which means that it only captures a small percentage of the total number of mall visitors. Additionally, by only surveying people leaving the main entrance, Lewie's survey may not capture people who enter and exit the mall through other entrances or exits and may also miss those who don't leave the mall after buying food. As a result, Lewie's survey may not accurately represent the total number of people who buy food at the mall and may lead to biased results.
On the other hand, Kelvin's survey samples every other person leaving the food area. This method captures a larger percentage of the total number of people who buy food at the mall and is more likely to provide a more accurate representation of the total number of people who buy food at the mall.
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Answer:
A. Kelvin’s because he surveyed people leaving an area where food is sold
Step-by-step explanation:
What is the relationship between points and lines?
Answer:
Points identify starting and ending positions, and a line (in this case line segment) connects such points to show the distance between the two points.
Step-by-step explanation:
Can anyone help please
The graph of the following equation will be a Parabola. The y=1 will be the line of symmetry.
Which four types of parabolas are there?Three different parabolas exist. Vertex form, standard form, and intercept form are the three forms. You can access a unique key feature for the graph on each form.
What distinguishes a hyperbola from a parabola?A set of points in a plane that are equally spaced apart from a directrix or focus are known as parabolas. The difference in distances between a group of points that are situated in a plane and two fixed points—which is a positive constant—is what is referred to as the hyperbola.
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This is algebra 2, please help.
The vertex and axis of symmetry of the graph is shown in image.
What is an expression?Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.
Given that;
The function is,
⇒ f (x) = 1/4 (x + 6)² - 5
Now,
Since, The function is,
⇒ f (x) = 1/4 (x + 6)² - 5
Hence, The points corresponds to x = - 2 and - 4 are;
For x = - 2;
⇒ f (x) = 1/4 (x + 6)² - 5
⇒ f (x) = 1/4 (-2 + 6)² - 5
⇒ f (x) = 1/4 (4)² - 5
⇒ f (x) = 4 - 5
⇒ f (x) = - 1
For x = - 4;
⇒ f (x) = 1/4 (x + 6)² - 5
⇒ f (x) = 1/4 (-4 + 6)² - 5
⇒ f (x) = 1/4 (2)² - 5
⇒ f (x) = 1 - 5
⇒ f (x) = - 4
Thus, The points are;
⇒ (- 2, - 1) , (- 4, - 4)
And, The vertex of the function is,
⇒ ( - 6, - 5 )
And, The axis of symmetry of the graph is,
⇒ x = - 6
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What does it mean to solve an equation by substitution?
The value of a variable from one equation is substituted in the other equation when using the substitution method.
The graphic approach and the algebraic method are the two main categories into which simultaneous linear equations can be solved. One of the categories of the algebraic approach is the substitution method. The algebraic approach to solving simultaneous linear equations is known as the substitution method. The value of one variable from one equation is substituted in the second equation in this procedure, as the name implies. By doing this, a pair of linear equations are combined into a single equation with a single variable, making it simpler to solve.
Steps for Substitution method:
Simplify the given equation by expanding the parenthesisSolve one of the equations for either x or ySubstitute the step 2 solution in the other equationNow solve the new equation obtained using elementary arithmetic operationsFinally, solve the equation to find the value of the second variableTherefore in the Substitution method, The value of a variable from one equation is substituted in the other equation.
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. If a population of college student ages is skewed right, then this indicates: a. there are a greater number of older students b. the modal age is greater than the median age c. as the age of a student increases, the frequency of the student ages increases. d. there are more younger students within the population e. not enough information
The correct answer is c. as the age of a student increases, the frequency of the student's ages increases.
A skewed right population means that the data is distributed in such a way that the majority of the values are on the right side of the data set. In the case of a population of college students, this would mean that there is a greater frequency of older students (those in their late twenties or older) than younger students. As the age of a student increases, the frequency of the student's ages increases.
Option a. there are a greater number of older students is also correct, but it is not complete.
Option b. the modal age is greater than the median age is not correct, as the modal age is the most common age in the population and the median age is the middle value of the population, and there is no relationship between them.
Option d. there are more younger students within the population is not correct as a skewed right population indicates the opposite.
Option e. not enough information is not correct as the question is providing enough information to make a conclusion.
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In 33,291 how is the value of the three in the 10,000s place related to the value of the three in the thousands place
The place value of 3 in 10,000s place is the product of 10 with the place value of 3 in thousands place.
What is Place Value?Every digit in a number has it's own place value. Place value is the position of a digit in a number.
For example, in the number 3456, 6 is in the ones place, 5 is in the tens place, 4 is in the hundreds place and 3 is in the thousands place.
Given the number 33,291.
Place value of 1 = 1
Place value of 9 = 90
Place value of 2 = 200
Place value of 3 in thousands place = 3000
Place value of 3 in ten thousands place = 30,000 = 3000 × 10
That is, place value of 3 in 10,000s place is the product of ten with the place value of 3 in thousands place.
Hence the place value of 3 in thousands place multiplied to 10 gives the place value of 3 in 10,000s place.
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Ava bought 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198. Grace spent $254 buying 14 packages of tulip bulbs and 12 bags of daffodil bulbs. Use elimination to solve the system of linear equations and determine how much one package of tulips bulbs costs, x, and how much one bag of daffodil bulbs costs, y. Enter your answer as an ordered pair (x,y).
When Ava purchased six packages of tulip bulbs and twelve bags of daffodil bulbs, the price per tulip bulb was $7 and the price each daffodil bulb was $13.
what is linear equations ?The algebraic equation y=mx+b is known as a linear equation. M serves as the y-intercept, and B serves as the slope. The previous clause has two variables, y and x, and is sometimes referred to as a "linear equation with two variables". Bivariate linear equations are those with two independent variables. The following are a few examples of system of equations: 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3. When an equation takes the form y=mx+b, with m denoting the slope and b denoting the y-intercept, it is referred to as being linear. The term "linear" refers to an equation having the form y=mx+b, where m stands for the slope and b for the y-intercept.
given
Let x be the price of a single tulip bag.
Y should equal the price of one bag of daffodil bulbs.
Grace = 14x + 12y = 254
ava = 6x + 12y = 198
- 8x = - 56
x = - 56/-8
x = 7.
Equation 1 becomes
6* 7 + 12y = 198
42 + 12y = 198 when x = 7 is substituted.
12y = 198 - 42
12y = 156
y = 156/12
y = 13
When Ava purchased six packages of tulip bulbs and twelve bags of daffodil bulbs, the price per tulip bulb was $7 and the price each daffodil bulb was $13.
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What is linear vs log?
Linear refers to a straight line when plotted on a graph, while logarithmic refers to a curve that follows the logarithmic function. Linear relationships are those where the rate of change is constant. Logarithmic relationships are those where the rate of change increases or decreases as the value of the independent variable increases.
Linear relationships are those where the rate of change is constant no matter how the independent variable changes. In this type of relationship, the y-value increases or decreases at a constant rate as the x-value increases. For example, if a graph shows a linear relationship, the data points will form a straight line when plotted on a graph. Logarithmic relationships are those where the rate of change increases or decreases as the independent variable increases. In this type of relationship, the y-value increases or decreases more quickly as the x-value increases. This can be seen when plotting the data on a graph as a curved line. An example of this type of relationship is the exponential growth of a population as the population increases.
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What is the first step to do in using substitution method?
Answer: Solve one equation for one of the variables.
Step-by-step explanation:
A horse walks 4224 feet in 12 minutes at this rate how many yards does a horse walk in twelve minutes.
Answer:
1408 yards
Step-by-step explanation:
A horse walks 4224 feet in 12 minutes, so to find out how many yards the horse walks in twelve minutes, we need to convert 4224 feet to yards. Since there are 3 feet in a yard, we can divide 4224 by 3 to find the number of yards:
4224 feet / 3 feet/yard = 1408 yards
So a horse walks 1408 yards in 12 minutes.
What is the example of quadrant 2?
The example of Quadrant 2 is (-1, 1)
The term quadrant in math is called as the coordinate plane is divided into four equal parts by the intersection of the x-axis such as the horizontal number line and the y-axis such as the vertical number line.
Here we have to give the example for quadrant 2.
In order to find the example, first we have to know the definition and properties of quadrant 2.
The quadrant 2 is placed on the upper left quadrant is the second quadrant, denoted as Quadrant II and the value of the x-axis has negative numbers and the value of y-axis has positive numbers.
Therefore, the resulting coordinate for Quadrant 2 is written as,
=> (-1, 1)
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Find three additional points on the parabola that has vertex (1, -2) and passes through (0,– 5). Select all that apply. A. (2,-3) B. (-1,-14) C. (3,2) D. (2,-5) E. (3,-14) F. (-2,7)
Answer: The vertex form of a parabola is:
y = a(x - h)^2 + k
Where (h, k) is the vertex of the parabola.
In this case, we are given that the vertex is (1, -2), so the equation of the parabola will be:
y = a(x - 1)^2 - 2
We know that the parabola passes through (0, -5), and it is given by the equation.
-5 = a(0 - 1)^2 - 2
so,
a = 1/3
The final equation of the parabola is :
y = 1/3(x-1)^2 - 2
so, the points that are on the parabola are:
A. (2,-3)
B. (-1,-14) is not true,
y = 1/3 (-1 -1)^2 - 2 = -1/3 + 2 = 1/3 ≠ -14
C. (3,2)
D. (2,-5)
E. (3,-14) is not true
y = 1/3 (3-1)^2 - 2 = -4/3 ≠ -14
F. (-2,7) is not true
y = 1/3 (-2-1)^2 - 2 = -7/3 + 2 = -1/3 ≠ 7
Therefore A, C and D are the correct answers.
Step-by-step explanation:
Which ordered pairs are the answer
Answer:
(4,14) (8,28))
Step-by-step explanation:
3.5(4) = 14
3.5(8) = 28
The function f(x) = StartRoot negative x EndRoot is shown on the graph. Which statement is correct?
The statement that is correct about the behavior of the given graph is; D:
The range of the function is all real numbers greater than or equal to 0.
How to interpret function graphs?The graph of the function is as shown in attached diagram.
The function is;
y = √-x
1. The domain of the function is defined the set of all possible input values for x. Therefore, upon close inspection of the graph, we can say that the domain of this function is;
x ∈ (-∞, 0]
2. The range of the function is defined as the set all possible output values for y. By closely inspecting the attached graph, we can say that the range of this function is; y ∈ [0, -∞)
From the above, we can tell that the range of the function is all real numbers greater than or equal to 0.
Looking at the options, only option D can be said to be correct about the behavior of the given graph.
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The missing options are;
The domain of the function is all real numbers greater than 0.
The range of the function is all real numbers less than or equal to 0.
The domain of the function is all values less than 0.
The range of the function is all real numbers greater than or equal to 0.
What is 42a - 16 ?????
Answer:
2 (21a−8)
Step-by-step explanation:
Answer:
2(21a - 8)
Step-by-step explanation:
42a - 16
The gcf of 42, 16 is 2
=> 2(21a-8)
Caculate the total amount from a simple interest account
Principal $300
interest rate 7%
Time 2
Answer:
$42.00
Step-by-step explanation:
Interest = principle x rate x time
Interest = 300 x .07 x 2
Interest = 42
40% of Damien’s marbles are blue Damien has 30 marbles how many of the marbles are not blue
Answer:
12
Explanation:
40/100 = 0.4
0.4 * 30 = 12
I hope this helps you!
expand the polynomial (x+1)(x+2)(y-3)
Answer: X^2y + 3xy + 2y -3x^2 -9x -6
explanation
1. Foil (x+2)(x+1)
X^2 +2x + x + 2
2. Simplify
X^2 + 3x + 2
3. Distribute x^2 + 3x +2 (y-3)
X^2y + 3xy + 2y -3x^2 -9x -6
Graph the line that passes through the points (1, -2) and (-1,-6) and
determine the equation of the line.
Answer:
y = 2x - 4
Step-by-step explanation:
The equation is y = mx + b
m = The slope
b = y-intercept
To find the slope, we look for the rise/run or (y2 - y1) / (x2 - x1)
The slope here is 2, and the y-intercept is located at (0,-4), so the equation is
y = 2x - 4
How do you find the third side of a triangle that is not right?
The third side of a triangle can be found using the Pythagorean Theorem.
The Pythagorean Theorem states that for a triangle with sides of length a, b, and c (with c being the length of the unknown side) a^2 + b^2 = c^2.
To find the third side of a triangle that is not right, first calculate the lengths of the two known sides. Let's say the lengths of the two known sides are a = 5 and b = 12.
Next, plug the values into the Pythagorean Theorem and solve for c.
[tex]a^2 + b^2 = c^2[/tex]
[tex](5)^2 + (12)^2 = c^2 \\25 + 144 = c^2[/tex]
[tex]169 = c^2[/tex]
Finally, take the square root of both sides to solve for c.
sqrt(169) = c
13 = c
Therefore, the length of the third side is 13.
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Find the value of k so that the point (1,2) lies on the locus y²-2x-ky+5=0.
What is the difference 19√5 - 3√5 A.16 B.22 C.16√5 D.25
Answer:
C - 16√5
Step-by-step explanation:
Simply subtract 19 and 3 while keeping √5 the same.
19√5 - 3√5 = 16√5
If it takes 10 hours to travel from North Carolina to Florida driving an
average speed of 60 mph, how long will it take to travel from North
Carolina to Florida driving an average speed of 70 mph?
Is it direct variation or indirect variation?
Answer:
8.5 hrs? direct variation
Step-by-step explanation:
60 per hour is 600 for 10 hours so 70 per hour to go 600 miles is 8.57142857143 in the calculator
600/60 =10
600/70 = 8.5
and its direct variation because on a graph 8.5 8.5 squares up for ever 1 square going over every time and the graph does curve but I haven't learned this stuff in years so I'm not 100% sure
Finn jumped 200 times in 10 hours. At what rate, how many times would he jumped in 12 minutes?
Answer: 4 times
Step-by-step explanation: I got 4 times. Here's how to solve it:
Set up a proportional relationship, but first, we need to convert 10 hrs into mins:
1 hour = 60 mins
To find how many minutes are in 10 hours, we multiply 60 by 10, which equals 600.
So, therefore there are 600 mins in 10 hours. Now, we can set up our proportional relationship:
[tex]\frac{200}{60} = \frac{?}{12}[/tex]
So, if we know 12 is a factor of 60, we should divide 60 by 12, and we should get 5. So, now we do the same with the 200. We do 200 / 50, and we get 4. I hope this helps!
Find the volume of a cube if its area of four walls is 16 cm square.
[tex] \longmapsto \: side = \frac{16}{4} = 4 \\ \longmapsto volume = 4 {}^{3} = 64[/tex]