Answer:
1. 
2. 
Step-by-step explanation:
Given
Variation: inverse Proportion
y = 7, x = 9
Required
- Write an equation connecting y and x
- Find y when x = 21
Given that thee variation is inversely proportional;
This implies that

Convert variation to equation
----------- Equation 1
Where k is the constant of variation
Substitute 7 for y and 9 for x in equation 1

Multiply both sides by 9


Substitute 63 for k in equation 1

Multiply both sides by x


Hence, the equation connecting x and y is 
Solving for when x = 21
Substitute 21 for x in the above equation

Divide both sides by 21


Answer:
1 and 3 is right and I’m pretty sure 2 is right also.
Step-by-step explanation:
A = s^2
A' = 2s*s'
When the area is 36 cm^2, the side (s) is 6 cm. The area is increasing at the rate
A' = 2(6 cm)*(6 cm/s) = 72 cm^2/s
First we join the two endpoints of the semicircle and that will be the diameter.
And to find the length of the diameter, we have to use distance formula, with one endpoint (3,2) and the other is (-4,-2) .
SO we get

Radius is half of diameter, so the radius is

Formula of area of circle is

So the area of semicircle is

And the other figure is a triangle, with


Therefore, total area is the sum of area of semicircle and area of triangle,
And we will get

Correct option is the third option .
Answer:
f(x) = 0.85x
g(x) = 0.85x - 100
Step-by-step explanation:
Given that :
Sale price = 15% off the item price
Let original price = x
Hence, sale price = (100 - 15)%
Let the sale price function = f(x)
f(x) = 0.85x
Where, x = price before 15% off
Customer also has a coupon discount of 100 pesos
Let coupon discount price = g(x)
g(x) = f(x) - 100
Hence,
g(x) = 0.85x - 100
x = price before 15% off