Answer:
yes she has more than enough
Step-by-step explanation:
1 quart = 4 cups
2 quarts = 8 cups
3 quarts = 12 cups
Answer:
1. Option D is correct.
2. Option B is correct.
3. Option B is correct.
Step-by-step explanation:
Inverse function defined as the the function that undergoes the action of the other function.
A function
is the inverse of f if whenever y =f(x) and 
To find the inverse of the function:
Q1.
Given the function: f(x) = 7x -1
Put y for f(x) and solve for x;
y= 7x -1
Add 1 both sides we get;
y + 1 = 7x
Divide both sides by 7 we get;

Put
for x;

Interchange y =x, we have
Q 2.
Given the function:

Put y for f(x) and solve for x;

Add 7 both sides we get;

taking cube root both sides we get
![x =\sqrt[3]{y+7}](https://tex.z-dn.net/?f=x%20%3D%5Csqrt%5B3%5D%7By%2B7%7D)
Put
for x;
![f^{-1}(y) =\sqrt[3]{y+7}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28y%29%20%3D%5Csqrt%5B3%5D%7By%2B7%7D)
Interchange y =x, we have
![f^{-1}(x) = \sqrt[3]{x+7}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7Bx%2B7%7D)
Q3 .
Given the function:

Put y for f(x) and solve for x;

Add 3 both sides we get;

Divide both sides by 5 we get;

taking cube root both sides we get
![x = \sqrt[3]{\frac{y+3}{5} }](https://tex.z-dn.net/?f=x%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7By%2B3%7D%7B5%7D%20%7D)
Put
for x;
![f^{-1}(y) = \sqrt[3]{\frac{y+3}{5} }](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28y%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7By%2B3%7D%7B5%7D%20%7D)
Interchange y =x, we have
![f^{-1}(x) = \sqrt[3]{\frac{x+3}{5} }](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%20%3D%20%5Csqrt%5B3%5D%7B%5Cfrac%7Bx%2B3%7D%7B5%7D%20%7D)
Answer:

Step-by-step explanation:
1. The line y=12-4x has the slope -4, then perpendicular line will have slope 
The equation of this perpendicular line is

2. The vertices of the triangle are at points:
A: x=0, y=0.
B: x=0, y=12.
C: 
3. The height of the triangle ABC is x-coordinate of point C, so
the base of the triangle is the length of the segment AB, 12 cm.
4. The area of the triangle ABC is 
Answer: 2k - 20
Step-by-step explanation: