F(x) = -x^2 + 6x + 6
where f(x) represents the height, in feet, of the water from the fountain at different times x, in seconds
rate of change of a distance is speed
at x=5, distance = 11
at x=2, distance = 14
so average rate of change = (14-11)/(5-2) = 1
so ans is D
Answer:
15
Step-by-step explanation
We divide the amount he's selling them for, by the amount of money he needs to make.
75 divided by 5 equals 15.
He needs to sell 15 sports drinks to make $75.
Answer:
The staircase would extends 1.20 m if the changes were made.
Step-by-step explanation:
Acording tho the statement the total heigth is 5.04 m, that is 504 cm, each steps rises 21 cm. with this information we can calculte how many steps are in the whole staircase:

To calculate how much the staircase will extend, whe have to multiply the horizontal depth times the number of steps.
using the run of 24 cm that gives us a lengt of 576 cm and if the changes were made the new length will be 696 cm.
So the staircase would extend an amount of (696 - 576), that is 120 cm, or 1.20 m, if the changes were made.
Answer:
6.7
Step-by-step explanation:
This is trigonometry. We will have to find the opposite leg and the hypotenuse is given to us as 10. So we will have to use sin.
Soh in Soh cah toa
So sin(42)=x/10
10 times sin(42)=x
Evaluate using a calculator=6.69130606 and so on
Rounded to the nearest tenth is 6.7
So the answer is 6.7
The answer is D I think. I'm not really good with math oof