Rectangle with length labeled 24 feet and width labeled 14 feet.

What is the area of the rectangle?



76 ft2


168 ft2


38 ft2


336 ft2

Answer: (D) The domain but not the range of the transformed function is the same as that of the parent function.

Step-by-step explanation: Because domain is on the X-axis, and the graph would go infinitely, the domain would not change. The range would change  from X>0 to X<0.

Answer:

The answer is The domain of the transformed function is the same as the parent function, but the ranges of the functions are different

 I took test on edg  2020 and i got right believe me

Step-by-step explanation:

Answer:

$2,812.50

Step-by-step explanation:

Let

y ----> amount that Sarah earn this month

x ----> amount of sales over $5,750

we know that

5%=5/100=0.05

The linear equation that represent this situation is

y=4(525)+0.05(x)

Find the value of x

x=20,000-5750=$14,250

substitute

y=4(525)+0.05(14,250)=$2,812.50

Sarah Jones earned $9,725 this month.

Sarah Jones earns $525 per week selling life insurance for Farmer’s Insurance plus 5% of sales over $5,750. Sarah’s sales this month (four weeks) are $20,000. To find out how much Sarah earns this month, we need to calculate her base salary and her commission earned from sales over $5,750:

Therefore, Sarah earns $9,725 this month.

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Answer:

The vertical asymptote is at P = 100

Step-by-step explanation:

* Lets explain what are the vertical asymptotes

- Vertical asymptotes are vertical lines which correspond to the zeroes

  of the denominator of a rational function

- Vertical asymptotes can be found by solving the equation n(x) = 0

  where n(x) is the denominator of the function t(x)/n(x)

- Note: this only applies if the numerator t(x) is not equal zero for the

 same value of x

# Example: to find the vertical asymptote to [tex]f(x)=\frac{3x-1}{x-5}[/tex]

  put the denominator x - 5 = 0, and solve it

  the value of x = 5, then the vertical asymptote is at x = 5

* Lets solve the problem

- The equation of the cost is [tex]C=\frac{25000P}{100-P}[/tex]

∵ The denominator of C is (100 - P)

- To find the vertical asymptote equate the denominator by zero

∴ 100 - P = 0 ⇒ add P for both sides

∴ P = 100

∴ There is a vertical asymptote at P = 100

* The vertical asymptote is at P = 100

Perimeter of triangle = 3(side)

P = 3(s)

12 = 3s

12/3 = s

4 = s

I think there is a typo in your post.

The question should be: WHICH ONE OF THE FOLLOWING IS A POSSIBLE SIDE OF THE TRIANGLE?

In that case, 4 cm is the answer. However, 4 cm is not listed among the choices. So, choice d is the answer.

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

[tex]f(x)=x^{2}-2x+3[/tex]

This is the equation of a vertical parabola open upwards

The vertex is a minimum

The vertex is the point (1,2)

The y-intercept is the point (0,3)

The function does not have x-intercepts

see the attached figure

Answer:

PY = PZ is true.

Step-by-step explanation:

We are given a figure of a regular square pyramid and we are to determine whether PY is equal to PZ or not.

From the figure, we can see that ∠PXY and ∠PXZ are right angles and since the base is a square so sides AB and BC are equal in length and Y and Z are their mid points respectively.

Therefore, the hypotenuses created by PY and PZ are equal.

Check the picture below.

all slant-heights are the same in a square pyramid, so yes, PY = PZ.

if you notice in the picture, the green line is longer than the black dashed line, now, we're using some values for the sake of examplifying, so the side at the base for the slant-height is shorter than the the side at the base for the corner of the pyramid, and therefore PY > PB.

must the slant-height be greater than the altitude?  well, notice on that yellow triangle, the slant-height is the hypotenuse and the hypotenuse is always greater than the other sides in a right-triangle.

could the edges be the same length?  well, we can squeeze that well for the base sides and the slant-heights, but we can't for the corners, the corners must always be longer than the slant-heights, so nope.

Answer:

5ab+a-4

Step-by-step explanation:

The formula for slope is

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

In this case...

[tex]y_{2} =3\\y_{1} =7\\x_{2} =2\\x_{1} =-2[/tex]

^^^Plug these numbers into the formula for slope...

[tex]\frac{3-7}{2 - (-2)}[/tex]

[tex]\frac{-4}{4}[/tex] -------------------> Simplifies to -1

                                                ^^^This is your slope

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

C

Step-by-step explanatio

33 + 33 + 38 + 35 +37 + 40 + 57 = 273

273 / 7 = 39

33 + 33 + 38 + 35 +37 + 40 = 216

216 / 6 = 36

The mean (average) of the data set without the outlier is 36 and including the outlier is 39. The outlier here being the value 57 which deviates most from the other values in data set.

To find the mean (or average) of a data set, you add all the values together and then divide by the count of the values.

Firstly, for the mean without the outlier, we add 33+33+38+35+37+40 = 216, which we then divide by the 6 values, giving us 36. So, the mean without considering the outlier is 36.

For the mean considering all values including the outlier (57), calculate 33+33+38+35+57+37+40 = 273, then divide by the 7 values, which gives us approximately 39. The answer to the nearest tenth is 39.0. Therefore, the mean of this data set with the outlier is 39.0 and without the outlier is 36.0.

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Answer:

x = 14 and z = 96

Step-by-step explanation:

The 2 marked angles are vertical and congruent, hence

9x - 42 = 5x + 14 ( subtract 5x from both sides )

4x - 42 = 14 ( add 42 to both sides )

4x = 56 ( divide both sides by 4 )

x = 14

Hence 5x + 14 = (5 × 14) + 14 = 70 + 14 = 84°

z and 5x + 14 form a straight angle and are supplementary, hence

z + 84 = 180 ( subtract 84 from both sides )

z = 96

Answer:

Step-by-step explanation:

First you must calculate the module or the magnitude of both vectors

The module of u is:

[tex]|u|=\sqrt{(8)^2 + (-3)^2} \\\\|u|=\sqrt{64 + 9}\\\\|u|=8.544[/tex]

The module of v is:

[tex]|v|=\sqrt{(-3)^2 + (-8)^2} \\\\|u|=\sqrt{9 + 64}\\\\|u|=8.544[/tex]

Now we calculate the scalar product between both vectors

[tex]u*v = 8*(-3) + (-3)*(-8)\\\\u*v = -24+ 24=0[/tex]

Finally we know that the scalar product of two vectors is equal to:

[tex]u*v = |u||v|*cos(\theta)[/tex]

Where [tex]\theta[/tex] is the angle between the vectors u and v. Now we solve the equation for [tex]\theta[/tex]

[tex]0 = 8.544*8.544*cos(\theta)\\\\0 = cos(\theta)\\\\\theta= arcos(0)\\\\\theta=90\°[/tex]

the answer is 90°

Whenever the scalar product of two vectors is equals to zero it means that the angle between them is 90 °

Answer:

B

Step-by-step explanation:

edge answer

Answer:

T(x) = 88 + 12x

Step-by-step explanation:

Givens:

1st hour = 100 copies

subsequent hours s(x) = 12( x - 1), where x is number of hours

Let total sales be represented by T(x)

Total sales, T(x)

= sales in first hour + sales in subsequent hours

=  100 + 12 (x - 1)

= 100 + 12x - 12

= 88 + 12x

Answer: Total sales function is [tex]S(x)=88+12x[/tex]

Step-by-step explanation:

Since we have given that

Number of copies the first hour he sell at a local game = 100

Sales function is expressed as

[tex]s(x)=12(x-1)=12x-12[/tex]

so, function that shows total sales including the first hour is given by

[tex]S(x)=100+s(x)\\\\S(x)=100+12x-12\\\\S(x)=88+12x[/tex]

Hence, total sales function is [tex]S(x)=88+12x[/tex]

Answer: 3.1 cm

Step-by-step explanation:isosollese triangle has 2 equal sides that are longer than legnth of base

perimiter=15.7

equation is 2a+b=15.7

so if the longer side is 6.3, wat is legnth of base

we know that identical sides are bigger so 6.3 is one of the identical sides

2a means the 2 idneical sides

2(6.3)+b=15.7

12.6+b=15.7

subtract 12.6 from btohs ides

b=3.1

answer is base=3.1 cm

Answer:

You would multiply by 1728.

So 10 cubic feet = 10 * 1728 = 17,280 cubic inches.

Step-by-step explanation:

There are  12 inches in a foot so there are 12^3 = 1728 cubic inches in a cubic foot.

Final answer:

To convert 10 cubic feet to cubic inches, multiply the volume in cubic feet (10) by the conversion factor of 1,728 to get 17,280 cubic inches.

Explanation:

To change 10 cubic feet into cubic inches, you need to use the conversion factor that 1 cubic foot equals 1,728 cubic inches (since 1 foot equals 12 inches, cubing both sides gives us 123 = 1,728). You then multiply the volume in cubic feet by this conversion factor.

Here is the calculation step by step:

Start with the volume in cubic feet: 10 cubic feet.

Multiply this amount by the conversion factor to get the volume in cubic inches: 10 cubic feet * 1,728 cubic inches/cubic foot = 17,280 cubic inches.

So, 10 cubic feet is equal to 17,280 cubic inches.

Answer:

4x + 9 = 20

Step-by-step explanation:

4x + 9 = 20 is the pertinent equation.

9 more than (this means the same thing as addition or sum, so replace this with an addition sign) the product of (product of means that it's multiplying two numbers together. In this case the two numbers are 4 and x) 4 and x is (this is another word for equal to, so replace with an equal sign) 20

This said the algebraic equation is:

9 + 4x = 20

Hope this helped!

~Just a girl in love with Shawn Mendes

let's recall that there are 16oz in 1 lbs, so then 12lbs is 12*16 = 192oz, plus 5, that makes it 197oz, so then 12lb 5oz is really 197oz.

likewise, 7lb is 7*16 = 112oz, plus 10 that makes it 122oz.

197 - 122 = 75 oz

and 75 oz is just 16+16+16+16+11, 4lbs and 11 oz.

If x is zero then you must replace x with zero and use the rules of PEMDAS (Parentheses, Exponent, Multiplication, Division, Addition, Subtraction) to solve

7 + (-4(0)^2)

7 + (-4(0))

7 + 0

7

If x is 0 then the expression equals 7

Hope this helped

~Just a girl in love with Shawn Mendes

Answer:

[tex]\boxed{7}[/tex]

X=0 is 7.

7 is the correct answer.

The answer should have a positive sign.

Step-by-step explanation:

Order of operations

Parenthesis

Exponent

Multiply

Divide

Add

Subtract

from left to right.

Distributive property: a(b+c)=ab+ac

[tex]7+(-4x^2)[/tex]

[tex]7+-4x^2[/tex]

[tex]7-4*0^2[/tex]

Do exponent.

[tex]0^2=0*0=0[/tex]

[tex]7-0=7[/tex]

7 is the correct answer.

Hope this helps you!

Thanks!

Have a nice day! :)

-Charlie

Answer: 15

Step-by-step explanation:

Answer:

Step-by-step explanation:

EH =15

Answer:

c=ab/(2b+a)

Step-by-step explanation:

20^c = 4^c  *  5^c

20^c=  (2^2)^c   * 5^c

20^c= (2 )^(2c)   * ( 5 )^c

Raise both sides to power a

20^(ca)=(2^a)^(2c)  * (5  )^(ac)

20^(ca)=(20^c)^(2c) * (5  )^(ac)

Raise both sides to power b

20^(cab)=(20)^(2c^2b)*(5^b)^(ac)

20^(cab)=20^(2c^2b) * (20^c)^(ac)

20^(cab)=20^(2c^2b) * 20^(ac^2)

Rewriting using law of exponents on right hand side

20^(cab)=20^(2c^2b+ac^2)

Now bases are same so that means the exponents have to be the same, that is we have:

cab=2c^2b+ac^2

assuming c is not 0, divide by c on both sides

ab=2cb+ac

Factor the right hand side

ab=c(2b+a)

Divide both sides by (2b+a)

c=ab/(2b+a)

C  is expressed in terms of b as c = [tex](5^b) / 2.[/tex]

To express c in terms of b in the equation [tex]2^a = 5^b = 20^c[/tex], we need to use the property of exponents that states:

[tex]a^(m * n) = (a^m)^n[/tex]

Let's first express [tex]20^c[/tex] in terms of 2 and 5:

[tex]20^c = (2^2 * 5)^c = 2^(2c) * 5^c[/tex]

Now, we have the equation:

[tex]2^a = 5^b = 2^(2c) * 5^c[/tex]

Since the bases (2) and (5) are equal, the exponents must also be equal:

a = 2c

Now, we can express c in terms of b:

Divide both sides of the equation by 2:

c = a/2

Since we know that a = [tex]5^b[/tex], we can substitute it into the equation:

[tex]c = (5^b) / 2[/tex]

So, c is expressed in terms of b as c = (5^b) / 2.

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[tex]f^{-1}(7)=\dfrac{7-1}{3}=\dfrac{6}{3}=2[/tex]

The inverse of a function is f⁻¹(7) equals 2.

The correct option is B.

To find the value of f⁻¹(7), we need to substitute 7 into the inverse function f⁻¹(x) = x - 1/3.

f⁻¹(7) = (7 - 1)/3

f⁻¹(7) = 6/3

Since 6 divided by 3 is equal to 2, we have:

f⁻¹(7) = 2

Therefore, f⁻¹(7) equals 2.

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x+(6x+10)+(x+2)=180

8x=180-12

x=168÷8

x=21°

Hope i helped.

Answer:

a) x = 21

b) 136º

Step-by-step explanation:

The sum of all the angle measures within a triangle is equal to 180º. Therefore, we can use an equation to find x and find the measure of angle C.

x + 6x + 10 + x + 2 = 180

Let's add together all the x's.

8x + 10 + 2 = 180

Now let's add together 10 + 2.

8x + 12 = 180.

To solve for x, we must first isolate 8x. To do this, we subtract 12 from both sides.

8x + 12 - 12 = 180 - 12.

8x = 168

To solve for x, we must divide 8 from both sides.

8x / 8 = 168 / 8

x = 21

Now we have the answer to the first part.

We can use this answer to solve for the measure of angle C.

Angle C = 6x + 10.

We just have to plug in 21 for x and solve for angle C.

6(21) + 10 = 136.

Angle C has a measure of 136º.

Step-by-step explanation:

Let's start with the y-intercept.  (0, 50) is shifted 10 units to the right and becomes (10, 50).  Next, we know the slope is 5.  We can use this to plot more points, or we can use it to write an equation in point-slope form:

y - 50 = 5 (x - 10)

y - 50 = 5x - 50

y = 5x

So the new y-intercept is (0, 0).

What this means is that Jeremy's savings account will be worth $50 in ten years.

If we compare the new y-intercept to the old one, we see that the 10 unit shift to the right is the same as a 50 unit shift down.  Shifting graph B up 50 units will bring us back to the original graph.

The Fahrenheit temperature range at which the antifreeze protects the car, converted from Celsius, is -40°F ≤ F ≤ 284°F.

To convert the Celsius range to a Fahrenheit range, you can use the conversion formula, F = (9/5)*C + 32. Using this formula, for -40°C the Fahrenheit equivalent would be F = (9/5)*(-40) + 32 which equals -40°F, and for 140°C the Fahrenheit equivalent would be F = (9/5)*(140) + 32 = 284°F. Therefore, the compound inequality representing the Fahrenheit temperature range at which the antifreeze protects the car is -40°F ≤ F ≤ 284°F.

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For this case we must indicate an expression equivalent to:

[tex]x ^ {- \frac {5} {3}}[/tex]

By definition of power properties we have to:

[tex]a ^ {- 1} = \frac {1} {a ^ 1} = \frac {1} {a}[/tex]

Then, we can rewrite the expression as:

[tex]\frac {1} {x ^ {\frac {5} {3}}}[/tex]

We also have that by definition of properties of powers it is fulfilled that:

[tex]\sqrt [n] {a ^ m} = a ^ {\frac {m} {n}}[/tex]

Then, the expression is like:

[tex]\frac {1} {\sqrt [3] {x ^ 5}}[/tex]

ANswer:

Option B

Answer:

Step-by-step explanation:

Note that (x^a)^b = x^ab.

Thus,  (x^2/3)^4/5 = x^(2/3 * 4/5) = x^(8/15)

To simplify the expression (x^2/3)^4/5, multiply the exponents and provide the resulting exponent x^8/15.

To simplify the expression (x2/3)4/5, we can use the rule of exponents which states that when raising a power to another power, we multiply the exponents. In this case, the exponent 4/5 applies to both the x and the 2/3. Multiplying the exponents gives us 2/3 * 4/5 = 8/15. Therefore, the simplified expression is x8/15.

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Answer:

The inverse g(x) = 2x + 2

Step-by-step explanation:

* Lets explain the inverse of a function

- To find the inverse of any function we switch the x and y then

 we solve to find the new y

- The domain of the function is the values of x and the range of

 the function is the values of y

- The domain of the inverse function is the values of y and the

 range of the inverse function is the values of x

- Lets solve the problem

∵ f(x) = {(8 , 3) , (4 , 1) , (0 , -1) , (-4 , -3)}

- To find the inverse g(x) lets find f(x) from the order pairs

∵ x-coordinates are decreases by 4 and y-coordinates are

  decreases by 2

∴ The relation represents the linear function

- The form of the linear function is f(x) = mx + c , where m is the

  slope of the line and c is the y-intercept

∵ The slope of the line whose endpoints are (x1 , y1) and (x2 , y2)

  is m = (y2 - y1)/(x2 - x1)

- We can find the slope from any two order pairs

∵ (x1 , y1) = (8 , 3) and (x2 , y2) = (4 , 1)

∴ m = [1 - 3]/[4 - 8] = -2/-4 = 1/2

∵ f(x) = mx + c

∴ f(x) = 1/2 x + c

- The y-intercept means the line intersect the y-axis

  at point (0 , c)

∵ There is a point (0 , -1)

∴ c = -1

∴ f(x) = 1/2 x - 1

- To find the inverse of the function switch x and y and solve to

  find the new y

∵ y = 1/2 x - 1 ⇒ switch x and y

∴ x = 1/2 y - 1 ⇒ add 1 to both sides

∴ x + 1 = 1/2 y ⇒ Multiply both sides by 2

∴ 2(x + 1) = y

∴ y = 2x + 2

∵ g(x) is the inverse of f(x)

∵ The inverse of f(x) is 2x + 2

∴ g(x) = 2x + 2

Answer:

g(x) = {(3, 8), (1, 4), (–1, 0), (–3, –4)}

Step-by-step explanation:

I got it right on edge

180° - 113° - 53° = 14°

The answer is b. 14

Answer:

The correct answer options are C. [tex]\frac{x^2+5}{x-8}[/tex] and D. [tex]\frac{x^2-x-56}{x^2-64}[/tex].

Step-by-step explanation:

The values which make the denominator equal to zero are called the excluded values.

Here, we can substitute 8 for x and check if it makes the denominator 0.

[tex]\frac{x-8}{x+8} = \frac{8-8}{8+8} =\frac{0}{16} =0[/tex]

[tex]\frac{x-2}{x^2-4} = \frac{8-2}{8^2-4} =\frac{6}{60} =\frac{1}{10}[/tex]

[tex]\frac{x^2+5}{x-8} = \frac{8^2+5}{8-8} =\frac{69}{0}[/tex]

[tex]\frac{x^2-x-56}{x^2-64} = \frac{8^2-8-56}{8^2-64} = \frac{0}{0} =0[/tex]

[tex]\frac{8x^2-2}{x^2-16} = \frac{8(8)^2-2}{8^2-16} =\frac{510}{48}[/tex]

Answer:

C. x^2+5/x-8

D. x^2-x-56/x^2-64

Step-by-step explanation:

just did the assignment and can confirm the answer above me is correct

Answer:

t(12)=40 t(24)=-3.2

Step-by-step explanation:

t(12)=40 because, if you replace 12 with t in the equation, everything but 40 cancels out.

t(24)=-3.2 because, if you plug in 24 for t it will be the same as the first equation where t is 0.

values that are excluded from the domain of a rational expression are values that make the denominator 0, since if that's so, the rational will be undefined.  That happens when the denominator is zero out, let's do so

[tex]\bf mn+3m=0\implies m(n+3)=0\implies \begin{cases} m=0\\ n=-3 \end{cases}[/tex]

so, if ever m = 0, the denominator will become 0 and the rational becomes undefined, and whenever n = -3, the same will happen to the rational, thus those values are excluded.

Final answer:

The excluded values for the expression (m + 5) / (mn + 3m) are m = 0 and n = -3, as these would make the denominator equal to zero, which is undefined.

Explanation:

The question appears to relate to the concept of excluded values in an algebraic expression, specifically one that involves division by a variable term. The excluded values are the values that the variables cannot take on because they would make the denominator equal to zero, which is undefined in mathematics. However, the given information seems to be related to physics, particularly quantum mechanics, which involves quantum numbers and the Pauli exclusion principle. It is important to have the correct expression to identify the excluded values properly. Assuming the expression is (m + 5) / (mn + 3m), we need to determine the values of m and n that would make the denominator zero.

To find the excluded values for the variable m and n, we need to set the denominator equal to zero and solve for the variables:

mn + 3m = 0

m(n + 3) = 0

From this, we can see that m must not be zero, and when m is not zero, n must not be -3. Therefore, the excluded values are m = 0 and n = -3.