Answer:
Before coming back up to the surface the maximum depth, Cassidy went was 6.25 ft. below the water surface
Step-by-step explanation:
The height of Cassidy's diving platform above the water = 6 ft.
The equation that models her dive is d = x² - 7·x + 6
Where;
d = Her vertical position or distance from the water surface
x = Here horizontal distance from the platform
At Cassidy's maximum depth, we have;
dd/dx = d(x² - 7·x + 6)/dx = 2·x - 7 = 0
x = 7/2 = 3.5
∴ At Cassidy's maximum depth, x = 3.5 ft.
The maximum depth, 
= d(3.5) = 3.5² - 7 × 3.5 + 6 = -6.25
The maximum depth, Cassidy went before coming back up to the surface = = -6.25 ft = 6.25 ft. below the surface of the water.
Generally plug 0 in for x and solve for y. whatever y is is your y intercept
You didn't include the costs of doing repairs at both computer repair firms. I fixed that for you.
ABC Tech ------- $20 service charge plus $15 per hour.
Tech squad ------- $30 service charge plus $10 per hour.
Answer:
Steven's estimate of the repair time is 2 hours.
Step-by-step explanation:
Now in this case, we were told that ABC Tech normally charges $20 service charge and $15 per hour of computer repair service. The second tech firm charges $30 service charge and $10 per hour for computer repair service. We are now simply required to find out or calculate the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal.
Let us use "x" to represent that unknown number of hours. The equation needed to calculate this is:
20 + 15x = 30 + 10x
We then pair like terms
15x - 10x = 30 - 20
5x = 10
x = 10/5
x = 2
Therefore the number of hours of computer repair service whereby the cost of doing repairs at both tech firms become equal is 2 hours.
