Answer:X=i and ±
Step-by-step explanation:
Definitely multiply out the given factors:
f(x) = 10 + 2x - 5x - x^2, or f(x) = -x^2 - 3x + 10
Find the derivative: f '(x) = -2x - 3
Set the deriv. = to 0 and solve for x: -2x = 3, and x = -3/2
This x = -3/2 is the x-coordinate of the max value. The y-coord. is
f(-3/2) = (-3/2)^2 - 3(-3/2) + 10 = 21.25
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Answer:
13 footballs and 13 basketballs
Step-by-step explanation:
Let f = footballs
b = basketballs
f=b since we are buying an equal number
9f+7b = 208
Substitute f=b
9f+7f = 208
16f = 208
Divide by 16
16f/16 = 208/16
f=13
We are buying 13 footballs
Since f=b
We are buying 13 basketballs