Answer: D
Step-by-step explanation:
If the equation is f(x) = 9x^2 -12, you can solve for the inverse by switching the x and y like this.
x = 9y^2-12.
Then you solve for y.
x = 9y^2-12.
x+12=9y^2
y^2=(x+12)/9
y=sqrt((x+12)/9)
y=sqrt((x+12))/3 which is D
Answer:
Building's shadow length = 180 feet.
Step-by-step explanation:
Given:
A 50-foot flagpole is at the entrance of a building that is 300 feet tall.
Its forms a right angled triangle from both ends,both of them are similar because the angle of the sun is the same at the same time of day.
From similar triangle property we can say that.
⇒ length of the building shadow times height of the flagpole's = length of the flagpole's shadow times height of the building
Or

Plugging the values in the above equation we have,
Let length of the building shadow ='x' feet
⇒ 
⇒ 
⇒ 
⇒ 
⇒
feet.
So the length of the building shadow is 180 feet.
Answer:
You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
Step-by-step explanation:
This problem can be solved by a system of equations.
The largest profit is going to earned when all the eggs and cups of cream in stock are used.
I am going to call x the number of quarts of Creamy Vanilla and y the number of quarts of Continental Mocha.
The problem states that each quart of Creamy Vanilla uses 2 eggs and each quart of Continental Mocha uses 1 egg. There are 350 eggs in stock, so:

Each quart of Creamy Vanilla uses 3 cups of cream, as does each quart of Continental Mocha. There are 600 cups of cream in stock.
So:
Simplifying by 3.

We have the following system


I am going to multiply 2) by (-1) and then add with 1), so i can eliminate y






You should make 150 quarts of Creamy Vanilla and 50 quarts of Continental Mocha.
3.38 ~ 3.4
Answer : $3.40
*Hope that helps and Enjoy Brainly :)