Answer:
12
Step-by-step explanation:
What is the area of this square? 9 Meters and 9 Meters
Answer:
81
Step-by-step explanation:
Area is multiplying all side
9 x 9 = 81
What is the greatest common factor of the terms in the polynomial 12x4 + 27x3 + 6x2?3x3x26x26x4.
The greatest common factor amongst the three factors is 3x² as it has a degree of 2 and a coefficient greater than 1.
What is polynomial?Sums of terms of the form k-x^n, where k is any number and n is a positive integer, make up polynomials. For instance, the polynomial 3x+2x-5. a description of polynomials. The concepts degree, standard form, monomial, binomial, and trinomial are all covered in this video. An expression that consists of variables, constants, and exponents that is combined using mathematical operations like addition, subtraction, multiplication, and division is referred to as a polynomial (No division operation by a variable).
Here,
The polynomial=12x⁴+27x³+6x²
On simplifying,
=3x²(4x²+9x+2)
With a degree of 2 and a coefficient larger than 1, 3x² has the highest common factor of the three components.
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The area A if rectangle is represented by the formula A = lw where l is the length and w is width. The length of the rectangle is 5. What is the equation to that?
Answer:
black and white striped bass
a cookie packet contains 2 butter cookies and 4 choco chip cookies
how many cookies are there in 50 such packets?
a. 100
b. 200
c. 300
d. 400
Answer:
C) 300
Step-by-step explanation:
Butter cookies :-
2 x 50 = 100 cookies
Choco chip cookies
4x 100 = 200 cookies
Total cookies :-
100 + 200 = 300
I hope my answer helps you.
Which of the following does not have a unit price of $24 for one sweater
As per the given options, one which does not have a unit price of $24 for one sweater is $38 for 2 sweaters. Hence, option A is correct.
What are arithmetic Operations?The four fundamental operations of arithmetic are addition, subtraction, multiplication, and division of two or even more items.
Included in them is the study of integers, especially the order of operations, which is important for all other areas of mathematics, notably algebra, data management, and geometry.
As per the information in the question,
The unit price of the sweater is $24.
Now, let's check the options for a unit price of the sweater.
1.
$38 for 2 sweaters
So, the unit price = 38/2 = $19, it does not have the unit price of $24 for one sweater.
2.
$72 for 3 sweaters
So, the unit price = 72/3 = $24, so this is correct.
3.
$96 for 4 sweaters
So, the unit price = 96/4 = $24, this one is correct.
4.
$120 for 5 sweaters
So, the unit price = 120/5 = $24, this one is also correct.
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Your question seems incomplete, the complete question may be:
Which of the following does NOT have a unit price of $24 for one sweater?
$38 for 2 sweaters
$72 for 3 sweaters
$96 for 4 sweaters
$120 for 5 sweaters
Quick loans will loan you $250 with the understanding that you will repay them $295 in two weeks. What is the APR for this loan?
The APR for this loan is equal to 468%.
What is APR?In Mathematics, APR is an abbreviation for annual percentage rate and it can be defined as a measure of an amount of money based on a yearly rate of interest, which a borrower must pay on a loan or credit card.
Mathematically, the annual percentage rate (APR) of a loan can be calculated by using this formula:
APR = [((simple interest/principal)/n) × 365] × 100
Where:
n represents the number of days.
Note: n is equal to 14 days (2 weeks).
Next, we would determine the FC for this loan as follows;
FC = $295 - $250
FC = $45.
For the two-week period, we have;
Interest = 45/250
Interest = 0.18.
Therefore, the annual percentage rate (APR) of this loan is given by;
APR = 0.18 × 52/2
APR = 468%.
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Maya wants to put fencing around her
rectangular backyard. The width of the yard
is 55 feet and the length is 75 feet. How
many feet of fencing does Maya need?
3) 260
7) 130
6) 3,905
9) 4,125
Answer:
3) 260 ft
Step-by-step explanation:
You want the perimeter of a rectangle 55 ft by 75 ft.
PerimeterThe equation for the perimeter of a rectangle is ...
P = 2(L +W)
ApplicationFor the given rectangle, the perimeter is ...
P = 2(75 ft +55 ft) = 2(130 ft) = 260 ft
Maya needs 260 feet of fencing to put fence around her rectangular yard.
Identify the graph h(x)=-x^2-7
Compare the graph of h to the graph of f(x)=x^2
The function h(x) is the result of two rigid transformations, reflecting the function f(x) about the x-axis and translating it vertically 7 units down.
What is the difference between the graphs of two functions?
In this problem we must determine the difference between the quadratic functions f(x) = x² and h(x) = - x² - 7, we can infer the change necessary to derive h(x) by means of rigid transformations, that is, transformations applied on a function such that the features of the functions are conserved.
All the rigid transformations required to transform f(x) into h(x) are listed below:
Reflection about x-axis: f'(x) = - x²Vertical translation: 7 units down: h(x) = - x² - 7Now we proceed to plot the two functions. From the graph we noticed that h(x) is the result of reflecting f(x) about the x-axis and translating 7 units in the -y direction.
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a rock dropped into a pond causes a circular wave of ripples whose radius increases at 4 inches per second. how fast is the area of the circle of ripples expanding at the instant that the radius of the circle is 24 inches?
The rate of change of Area of the circle of ripples when radius is 24 inches is 602.88 in²/sec .
In the question ,
it is given that ,
a rock dropped in pond causes a circular waves of ripples ,
the rate at which the radius is increasing (dr/dt) = 4 in/sec .
let the radius of the circular ripples is = r ,
the area of the circular ripples is ; A = πr² ,
differentiating Area with respect to time(t) is ,
dA/dt = π×2r×(dr/dt)
to find the rate of change of area when the radius of circle is 24 inches ;
substituting dr/dt = 4 and r = 24 ,
we get ,
dA/dt = π×2×24×4
= 192×3.14 .
= 602.88 in²/sec
Therefore , the rate of change of Area is = 602.88 in²/sec .
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What is the inverse of f(x)=-2+(x+2)^2
Answer:f - 1 ( x ) to show the final answer. Verify if f−1(x)=x2+1 f - 1 ( x ) = x 2 + 1 is the inverse of f(x)=2x−2 f ( x ) = 2 x - 2 .
is 7x a linear expression
Answer: Yes, it is linear expression
Step-by-step explanation:
The equation is y=mx + b
Here we have 7x, which we have the slope
We don't see the y-intercept, so it is 0
write the polynomial 8x-6x^2-3x^3 in standard form
Answer: -3x³ - 6x² + 8x
Step-by-step explanation:
In standard form, we order the terms in a polynomial with the highest degree on the left down to the lowest degree on the right. Make sure to keep the positive or negative "attached" to the mathematical term you are moving.
Given;
8x - 6x² - 3x³
3 > 2 > 1, so we will reorder:
-3x³ - 6x² + 8x
-3x^3-6x^2+8x is the standard form of polynomial 8x-6x^2-3x^3.
Often, we arrange the terms in a polynomial in standard form in which the term with the highest degree is first and is followed by the other terms in order of decreasing powers.
The first term of a polynomial in this form is called the leading term, and the coefficient in this term is called the leading coefficient.
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Cookies baked 375 degrees for 12 minutes. Find the gas unit, g, used if t = time in minutes:
375 - 15t
g = t
To find the gas unit used in baking of cookies, we plug the values into the given equation: g = t, g = 12. Thus, the gas unit used is 12.
What is gas unit?Organic gas usage or production is measured in "gas units." It is frequently employed to estimate the price of natural gas for a predetermined time period, such as a month or a year.
British thermal units (BTUs), a measure of the energy content of natural gas, are the industry standard for quantifying this fuel. One BTU is the amount of heat necessary to raise the temperature of one pound of water by one degree Fahrenheit.
To compute the gas unit for a given time period, the total amount of natural gas used or generated is first converted into BTUs.
How to solve?
To find the gas unit used, we plug the values into the given equation:
g = t, g = 12. Thus, the gas unit used is 12.
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find the distance from point (-3,7) to the line y=1/3x-2. round your answer to the nearest 10th if necessary
The distance between the point (-3,7) and the line y=1/3x-2 is 11.0 units
How to determine the distance?Distance shows how long it is between a point and another
We can do this by drawing a segment that is perpendicular to the line
the given equation is 1/3x-2
The slope here is 1/3 That is slope =3
From the equation of slope=intercept form = y=mx+c
put m=3 to have
y=3x+c
From the given coordinates (-3,7)
7=3(-3)+c
7+9=c
c=16
This implies that y=3x+16
Find the line where the equation intersect the line
⇒3x+16=1/3x-2
Rearrange the equation
8x/3=-18
Make x the subject. x=6.75
Recall that y=1/3(6.75)-2
y=2.25
The second coordinates are (6.75,2.25) and first (-3,7)
The distance is given by
d=[tex]\sqrt({X_{2}-X_{1})^{2} +(Y_{2}-Y_{1} )^{2} }[/tex]
d= √(6.75+3)²+(2.25-7)²
d=√9.75²+(-4.75)²
d=√95.0625+22.5625
d=√117.625
d=10.8455059817
Therefore the distance is 11 units
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Infinitely Many Solutions
6-3+4x+1= _x +_
PLEASE AWNSER QUICKLY
FILL IN THE BLANK
Answer:4x+4
Step-by-step explanation:
6-3= 3+1= 4 =4x+4
To make a cake, Roe needed 2 cup of ugar. Thi i 3 cup le than the amount of flour, f , he needed for the cake. Write a ubtraction equation that could be ued to find the amount of flour he needed for the cake
He might use the equation y = (3/2) x to determine how much flour he required for the cake.
What is Equation?A mathematical statement that has a "equal to" symbol between two expressions with equal values is called an equation. as in 3x + 5 Equals 15, for instance.
Equations come in a variety of forms, including linear, quadratic, cubic, etc.
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides. We have LHS = RHS (left hand side = right hand side) in every mathematical equation.
To determine the value of an unknown variable that represents an unknown quantity, equations can be solved. The statement is not an equation if there is no "equal to" symbol in it.
According to our question-
Accordingly, we require 2.3 cups of sugar for every cup of flour.
It also means that you need 3 1/2 cups of flour for every cup of sugar.
Therefore, if x cups of sugar and y cups of flour, respectively, are used:
y = (3/2) x.
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Which pairs of rectangles are similar polygons? select similar or not similar for each pair of rectangles. similar not similar a and b similar â€"" a and b not similar â€"" a and b b and c similar â€"" b and c not similar â€"" b and c a and c similar â€"" a and c not similar â€"" a and c
The polygons from the figure given below that are similar are Polygon B and Polygon C .
In the question ,
it is given that there are three polygons ,
we have to check which polygons are similar ,
to find the similarity we compare the length of all the polygons .
Let us first check for Polygon A and Polygon B ,
105/120 = 7/8
80/90 = 8/9.
and 105/120 ≠ 80/90 ,
So , Sides are not in proportion for Polygons A and B.
Hence , the Polygons A and B are not Similar.
Let us check for Polygon A and C .
105/100 = 21/20
80/75 = 16/15.
and 105/100 ≠ 80/75
So , sides are not in proportion for Polygons A and C.
Hence , the Polygons A and C are Non Similar.
Now for Polygon B and C .
120/100 = 6/5.
90/75 = 6/5.
and 120/100 = 90/75 = 6/5
So , Sides are in proportion for Polygons B and C .
Hence , the Polygons B and Polygon C are Similar.
Therefore , the Polygon B and Polygon C are similar .
The given question is incomplete , the complete question is
Which pairs of rectangles are similar polygons ? select similar or not similar for each pair of rectangles from the figure given below .
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A fraction and a whole number with a product greater than 1
Answer: 1/2 * 6 = 3
Step-by-step explanation:
Which equation represents this statement?
3 times the sum of 4 and a number is 18.
3 + 4n = 18
3⋅4+n=18
3n + 4 = 18
3(n+4)=18
Answer:
3(n+4)=18
Step-by-step explanation:
Answer:3(n+4)=18
Step-by-step explanation:
The sum of 4 and a number is 4+n
Three times the sum of 4 and a number is 3(4+n)
is means equal sign
3(n+4)=18
Help needed ASAP!! First gets brainliest!
1/3x+3/4+2/3x-1/4-2/3x=0.66666...x+0.5
Which point-slope equation represents a line that passes through (3, â€"2) with a slope of negative startfraction 4 over 5 endfraction? y â€" 3 = â€"(x 2) y â€" 2 = (x â€" 3) y 2 = â€"(x â€" 3) y 3 = (x 2)
The required equation of a line is y = 9/5 (4x - 12)
Given-
The point from which the line passes through is (3,2)
The slope of the given line m is -4/5.
Equation of the line
The linear equation of a line can be represented by a set of points on a graph using the equation of the line.
The standard form of the line passing through the point x₁, y₁
The slope m is given by,
m = (y - y₁) / (x - x₁)
Put the values of points and slope in the above equation, we get,
-4/5 = (y - 2) / (x - 3)
-4/5(x - 3) = y -2
-4x/5 + 12/5 = y - 2
-1/5 (4x - 12) + 2 = y
y = 9/5 (4x - 12)
The linear equation of a line can be represented by a set of points on a graph using the equation of the line. The following equation depicts a line that crosses (3, 2) and has a slope of -4/5: y = 9/5 (4x - 12)
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What is the percent of increase from 25 to 49?
identities included in Venn diagram
Answer:
Step-by-step explanation:
Aub, probability, set theory and discrete math?
Which are correct representations of the inequality –3(2x – 5) < 5(2 – x)? Select two options. x < 5 –6x – 5 < 10 – x –6x + 15 < 10 – 5x A number line from negative 3 to 3 in increments of 1. An open circle is at 5 and a bold line starts at 5 and is pointing to the right. A number line from negative 3 to 3 in increments of 1. An open circle is at negative 5 and a bold line starts at negative 5 and is pointing to the left.
- 6x + 15 < 10 - 5x , are correct representations of the inequality .
What is Inequality?An inequality in mathematics is a relation that compares two numbers or other mathematical expressions in an unequal way. [1] The majority of the time, size comparisons between two numbers on the number line are made. Different types of inequalities are represented by a variety of notations, including:
The symbol a b indicates that an is smaller than b.
When a > b is used, it indicates that an is bigger than b.
A is not equivalent to b in any scenario. Since an is strictly less than or strictly greater than b, these relationships are known as stringent inequalities[1]. Equivalence is not considered.
There are two forms of inequality relations that are not strict, in contrast to strict inequalities:
The indication of an or b denotes that.
According to our question-
The difference is 5 (-3(2x - 5)). (2 - x)
First, make each side simpler.
∵ -3(2x - 5) = -3(2x) + -3(-5) (-5)
Recall that (+)=(-)
∴ -3(2x - 5) = - 6x + 15
∵ 5(2 - x) = 5(2) + 5(-x) (-x)
Recall that (+)(-) = (-)
∴ 5(2 - x) = 10 - 5x
∴ - 6x + 15 < 10 - 5x
Take 15 away from both sides.
∴ - 6x < -5 - 5x
5 times on both sides
∴ - x < - 5
Because the coefficient of x is negative, you must change the inequality's sign when you divide both sides by it.
The x coefficient is -1.
∴ Add -1 to both sides.
∴ x > 5
The appropriate answers are:
- 6x + 15 < 10 - 5x
Hence, - 6x + 15 < 10 - 5x , are correct representations of the inequality .
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Are the following two functions inverse of one another ? If so tell why.
Answer: No, they are not inverses of one another.
=======================================================
Explanation:
There are at least 3 methods we can use to prove the functions aren't inverses of each other.
------------------------------------
Method 1
Let's say we plugged x = 0 into f(x).
[tex]f(\text{x}) = 2\text{x}+1\\\\f(0) = 2*0+1\\\\f(0) = 1\\\\[/tex]
The input x = 0 leads to the output y = 1.
Then let's treat y = 1 as the input of the g(x) function, so we'll plug x = 1 into here.
[tex]g(\text{x}) = -2\text{x}-1\\\\g(1) = -2*1-1\\\\g(1) = -3\\\\[/tex]
If g(x) was the inverse of f(x), then the g(1) output value should be 0 to get us back where we started. However, we get an output of -3 instead.
This is sufficient evidence to conclude that f(x) and g(x) are not inverses of each other. We only need one counter-example to disprove this claim.
------------------------------------
Method 2
Recall that if f(x) and g(x) are inverses of each other, then we have the following two properties
f(g(x)) = xg(f(x)) = xThe left hand side of each equation involves the concept of "function composition".
Let's see what f(g(x)) is equal to in this case.
[tex]f(\text{x}) = 2\text{x}+1\\\\f(g(\text{x})) = 2(g(\text{x}))+1\\\\f(g(\text{x})) = 2(-2\text{x}-1)+1\\\\f(g(\text{x})) = -4\text{x}-2+1\\\\f(g(\text{x})) = -4\text{x}-1\\\\[/tex]
We do not get an output of simply x only, so this is another way to see how we don't have inverses.
Through similar steps, you should find that [tex]g(f(\text{x})) = -4\text{x}-3[/tex] which is further confirmation that f(x) and g(x) are not inverses of each other.
------------------------------------
Method 3
Let's ignore g(x) for now. We'll start with f(x) and find the inverse of it.
The process involves this basic outline:
Replace f(x) with ySwap x and ySolve for ySo,
[tex]f(\text{x}) = 2\text{x}+1\\\\\text{y} = 2\text{x}+1\\\\\text{x} = 2\text{y}+1\\\\\text{x}-1 = 2\text{y}\\\\\text{y} = \frac{\text{x}-1}{2}\\\\f^{-1}(x) = \frac{\text{x}-1}{2}\\\\[/tex]
Unfortunately we do not end up with -2x-1 as the actual inverse.
So if [tex]g(\text{x}) = \frac{\text{x}-1}{2}[/tex] was the case, then f(x) and g(x) would be inverses of each other.
Through similar steps, the inverse of [tex]g(\text{x}) = -2\text{x}-1\\\\[/tex] is [tex]g^{-1}(\text{x}) = -\frac{\text{x}+1}{2}\\\\[/tex]
I need help with this. Can someone help?
Help this one is very confusing
Answer:
The Answer is 6.
Step-by-step explanation:
12x = 72
12 x 6 = 72
X = 6 because 6 can go into 72 12 times
Answer:
x = 6
Step-by-step explanation:
following the working through
substitute y = - x + 2 into the other equation
5x - 7y = 58
5x - 7(- x + 2) = 58 ← distribute parenthesis by - 7
5x + 7x - 14 = 58
12x - 14 = 58 ( add 14 to both sides )
12x = 72 ( divide both sides by 12 )
x = [tex]\frac{72}{12}[/tex] = 6
substitute x = 6 into y = - x + 2
y = - 6 + 2 = - 4
miguel has 30,000 in his savings account. sam has 40,000 in hissavings account. whatis the ratio of miguel savings to sam saving? what is the ratio of sam savings to miguel savings? what fraction of miguel savings is sam savings? what fraction of sam savings to miguel saving?
You and your friend are selling raffle tickets for a new laptop. You sell 14 more tickets than your friend sells. Together, you and your friend sell 58 tickets.
a. Write a system of linear equations that represents this situation. Let $x$x represent the number of tickets you sell and y$y$y represent the number of tickets your friend sells.
System of equations:
Question 2
b. How many tickets do each of you sell?
You sell tickets and your friend sells tickets.
Answer:
x = you sold
y = friend sold
---
x + y = 58
x = y + 14
---
put the system of linear equations into the standard form:
---
x + y = 58
x - y = 14
x= you sold 36
y= friend sold 22
Step-by-step explanation:
How do I do thi (with tep i preferred):
Suppoe you know that x = -2 i a zero of p(x) = 4x^3 10x^2 - 6x - 20. Ue ynthetic diviion to factor the polynomial and find the remaining zero
In polynomial, x - 2 is not a factor f(x) [By factor theorem]
What is Polynomials ?
Sums of terms with the pattern kxn—where k is any positive integer and n is an arbitrary number—are known as polynomials.
For instance, the polynomial 3x+2x-5. a description of polynomials. In this video, basic terms like terms, degrees, standard form, monomial, binomial, and trinomial are covered.
p(x) = 4x^3 + 10x^2 - 6x - 20
put x = -2 in equation
p(x) = 4 * (-2)³ + 10 * ( -2)² - 6 * -2 - 20
= 4 * -8 + 10 * 4 + 12 - 20
= -32 + 40 + 12 - 20
= 52 - 52
= - 2
p(x) ≠ 0
Which is not equal to zero
x - 2 is not a factor f(x) [By factor theorem]
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