Answer:
1
Step-by-step explanation:
The constant for variation is k = 3/2 and the equation for the inverse is y = 2/3x
In order to find this, we need to start with the base equation for direct variation. We can then plug in the values and solve for k.
y = kx
4.5 = k(3)
1.5 = k
Now we can model the equation as y = 3/2x. We can then find the inverse by switching the x and y and solving for the new y.
y = 3/2x ----> Switch
x = 3/2y -----> Multiply by 2/3
2/3x = y
Answer:
x*8 + y*14 ≥ 20
Step-by-step explanation:
We know that:
A batch of brownies makes 8 servings.
A pie makes 14 servings.
He wants to make, at least, 20 servings.
Then if he makes x batches of brownies, he will get x times 8 servings.
If he makes y pies, he will get y times 14 servings.
Adding that, he will get a total of:
x*8 + y*14 servings
And because he wants to make at least 20 servings (he can make 20 or more)
The inequality will be:
x*8 + y*14 ≥ 20
Where the "≥" symbol means that the expression at the left is greater than or equal to the expression of the right
Answer:
-4x^2+9x
Step-by-step explanation:
Adding boh gives
(f+g)(x)=-2x^2+(-2x^2+9x)
=-2x^2-2x^2+9x
=-4x^2+9x
Let us rephrase this statement: Fabiola's dog weighs 5 pounds more than one-third of Luisa's dog. The dog that Fabiola owns weights 23 pounds.
This is the equation for Fabiola's dog's weight: 1/3f + 5 = 23
I have no understanding what the diagram means.