7x8=56
He works 7 hours a day, so for each hour Howard earns 8$. 7hoursx8$ per hour=56$ for 7 hours
Answer:
4 hours
Step-by-step explanation:
For this, we can set up an equation
We can name the total number of hours x.
So the price for Shawns rentals would be as follows:
27.50x
and Darlas surf shop would be:
23.25x+17
Now, we put these into an equation.
We are trying to find for what number of x will the charges be equal, so we can make this equation:
27.50x=23.25x+17
Now we get the variables on one side, and the numerical values on the other.
We can do this by subtracting 23.25x from both sides. (What you do to one side you must do to the other to keep the equation equal.)
4.25x=17
Divide both sides by 4.25.
x=4
You would rent the equipment for 4 hours to make the charges equal.
Answer:
This relation is a function.
Step-by-step explanation:
This relation is a function because a there should be no repeating x-coordinates in the relation for it to be a function and that is exactly what happens in this relation.
Answer:
f (x) = -2 (x + 6)^2 + 2
Step-by-step explanation:
f (x) = -2x^2 - 24x - 70 <--- divide out -2 out of the first two terms...
f (x) = -2 (x^2 + 12x) - 70 <-- divide the x coefficient by 2 and then square it, then add AND subtract it)
f (x) = -2 (x^2 + 12x + (12/2)^2 - (12/2)^2) - 70
f (x) = -2 (x^2 + 12x + 36 - 36) - 70 <--- distribute the -2 onto -36 to get it out of the brackets..
f (x) = -2 (x^2 + 12x + 36) + 72 - 70 <-- combine constants and factor perfect square trinomial...
f (x) = -2 (x + 6)^2 + 2 <-- standard form...
