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2 years ago

Which equation can be simplified to find the inverse of y = 5x2 + 10?

Mathematics

2 answers:

iris [78.8K]2 years ago

8 0

ANSWER

$x = 5 {y}^{2} + 10$

EXPLANATION

The given equation is :

$y = 5 {x}^{2} + 10$

To find the inverse of this function, we interchange x and y to obtain:

$x= 5 {y}^{2} + 10$

We simplify this function to solve for y.

Therefore the equation that needs to be simplified to find the inverse of the given function is

$x = 5 {y}^{2} + 10$

The correct choice is is the first option.

Anna007 [38]2 years ago

6 0

Answer: x = 5y2 + 10

Step-by-step explanation: A is the correct answer on the Quiz!

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A local gym instructor has a course load that allows her to teach eight classes. At an interest meeting, 8 people wanted high-‐

cricket20 [7]

Answer:

The final curse load of the local gym instructor is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

Step-by-step explanation:

1. Let's apportion the class load using the Hamilton method

Number of classes the local gym instructor can teach = 8

Total number of students that want to take a class = 114 (8 people wanted high-‐impact aerobics, 64 wanted low-‐impact aerobics, 11 wanted jazzercise, and 31 wanted step exercise)

Standard divisor = 114/8 = 14.25

Now, we can apportion the students in in Standard quotas, this way:

High-‐impact aerobics = 8/14.25 = 0.5614

Low-‐impact aerobics = 64/14.25 = 4.49

Jazzercise = 11/14.25 = 0.7719

Step exercise = 31/14.25 = 2.1754

Now, we find the Minimum quota, just considering the whole number and don't taking into account the decimals, this way:

High-‐impact aerobics = 0

Low-‐impact aerobics = 4

Jazzercise = 0

Step exercise = 2

As we can see we have 6 classes and there are 2 still pending. Those 2 goes to the classes with the highest decimal portion, in this case, Jazzercise .7719 and High-‐impact aerobics with .5614.

The final course load is this:

High-‐impact aerobics = 1

Low-‐impact aerobics = 4

Jazzercise = 1

Step exercise = 2

7 0

3 years ago

Make a box and whisker plot of the data. 24, 18, 29, 21, 16, 23, 13, 11

Elanso [62]

To make a box and whisker plot you must first order the data:

11, 13, 16, 18, 21, 23, 24, 29

Then find the median:

19.5

Then split the data into two sections by the median:

11, 13, 16, 18 and 21, 23, 24, 29

Now find the medians of those sets

14.5 and 23.5

With this information we can conclude Option C is the correct plot

Hope this helps!

7 0

3 years ago

Read 2 more answers

A party rental company chairs and tables for rent. The total cost to rent 2 chairs and 12 tables is $105. The total cost to read

Luden [163]

Answer:

Step-by-step explanation:

2c+12t=105, and 5c+3t=33, subtracting 4 times the second from the first gives you

2c+12t-20c-12t=105-132

-18c=-27 dividing each side by -18

c=1.5, making 2c+12t=105 become

2(1.5)+12t=105

12t=102

t=8.5

So each chair costs $1.50 and each table costs $8.50

7 0

2 years ago

A net and the prism it will form when it is folded are shown below.

Mashcka [7]

Answer:

Option A)724 square centimeters

Step-by-step explanation:

we know that

The surface of the prism is equal to the area of its six rectangular faces

The surface area is equal to

$SA=2B+PH$

where

B is the area of the base

P is the perimeter of the base

H is the height of the prism

we have

$L=12\ cm$

$W=11\ cm$

$H=10\ cm$

Find the area of the base B

$B=LW$

$B=(12)(11)=132\ cm^{2}$

Find the perimeter of the base P

$P=2(L+W)$

$P=2(12+11)=46\ cm$

Find the surface area SA

$SA=2(132)+(46)(10)=724\ cm^{2}$

6 0

3 years ago

Read 2 more answers

Your class earned $110.00 Saturday afternoon by washing cars to raise money for a class trip. This is 14 of the money needed for

Galina-37 [17]

Answer: $1,540.00 is the total amount needed for the class trip

Step-by-step explanation:

Data: $110.00 earned for class trip

14th of the money needed

Money needed: x

Step one, Make the equation

110x14=x

Reason: Since we know 110.00 is a 14th of the money needed, we know multipling it by 14 will get us the money needed for the class trip. Having it in an equation will make it easier to solve.

Step two, Evaluate the equation

110x14=x=1540=x

Reason: The only thing that was left to do was to multiply 110 by 14 to get 1540 since the x was already isolated to begin with. That leaves us with the answer of x=1540.

However, since this is a real world problem, we have to make the answer more realistic so the final answer is '$1,540.00 is the total amount needed for the class trip'

I hope this helps!

7 0

3 years ago