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.
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Answer:
a+b/2×h=56
Step-by-step explanation:
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Answer:
36
Step-by-step explanation:
9 x 4 =46
Answer: You bought 7 books and you also bought 4 magazines
Explanation:
x = # of books purchased
y = # of magazines purchased
System of equations:
8x + 5y = 76
x + y = 11
Let’s use elimination in this case, but substitution can also work.
8x + 5y = 76
Multiply the (x + y = 11) by -8
We get:
8x + 5y = 76
-8x - 8y = -88
The xs cancel.
Add like terms.
-3y = -12
Divide by -3 on both sides
y = 4
Now plug in 4 into the (x + y = 11) equation to get x.
x + (4) = 11
Subtract 4 on both sides
x = 7