MATHEMATICS
MIDDLE SCHOOL

f(x) = 242,000(0.96)x

What does 0.96 represent?

The present value of the house

The value of the house after x years

The increase in the value of the house per year, which is 4%

The decrease in the value of the house per year, which is 4%

Answer: The value after X years is f(X) = 0.96, thus the value of the house after x years.

MIDDLE SCHOOL

Avelina has 4 cats and 3 dogs. She went to the local pet store and spent $35 on new dog collars and $14 on new cat collars. Then she came home, picked up her pets and took them to the veterinarian's office where spent $70. After taking her pets home, she went to the beauty shop and spent $42 on a hair cut. How much money did Avelina spend on each pet at the veterinarian's office?

Answer: 10

Step-by-step explanation:

u add 3+4 which is 7 and then Divide

7 from 70 and u get 10

MIDDLE SCHOOL

Change The percent to decimal. 25 1/2

Hello from MrBillDoesMath!

Answer:

0.255

Discussion:

The problem is to convert 25.5 % to a decimal number

25.5% = 25.5/100

= 0.255

Thank you,

MrB

MIDDLE SCHOOL

Determine the center and radius of the following circle equation:

x2 + y2 – 20x – 14y + 145 = 0

Answer:

Step-by-step explanation:

compare with x²+y²+2gx+2fy+c=0

center=(-g,-f)=(20/2,14/2)=(10,7)

radius=√(g²+f²-c)=√(10²+7²-145)=√(100+49-145)

=√4

=2

MIDDLE SCHOOL

Find the inverse of function f.

f(x) = 1 /2x+7

The inverse of the function f(x) = 1/2x + 7 is f⁻¹(x) = 2x - 14.

What is function?Function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

The given function is,

f(x) = y = (1/2)x + 7 (1)

To find the inverse of function f(x),

Let f(x) = x,

or x = f⁻¹(x)

Substitute in equation (1) and simplify for the value of y, and replace y with f⁻¹(x) at last.

x - 7 = (1/2)y

y = 2x - 14

f⁻¹(x) = 2x - 14

The required value of f⁻¹(x) is 2x - 14.

To know more about Function on:

brainly.com/question/2411204

#SPJ5

Answer:

f'(x)= 2x - 14

Step-by-step explanation:

change f(x) to y y = 1/2x + 7

switch x and y x = 1/2y + 7

multiply everything by 2 to cancel the denominator 2x = y + 14

solve for y 2x - 14 = y

then change y to f'(x) f'(x) = 2x - 14