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Nutka1998 [239]
3 years ago
7

Sara is completing the square to find the maximum or minimum value of the function f(x) = (2 - x) (5 + x). What is the first ste

p that Sara must take? Does the function have a maximum or minimum value? What is that value?
A) multiply the binomials; maximum value;
49
4
B) multiply the binomials; minimum value;
49
4
C) set each factor equal to zero and solve for x; minimum value;
−2
5
D) set each factor equal to zero and solve for x; maximum value;
−7
2
Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0
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

I realize that this result does not agree with any of the four possible answers.  Please ensure that y ou have copied down this problem completely and correctly.

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Please helppppppppppp me so the problem its jessica said that the sum of −8+d is always positive when the value of d is greater
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<h3>Answer: Sometimes true</h3>

========================================================

Explanation:

-8+d is positive only when d > 8

Here's why

-8+d > 0

-8+d+8 > 0+8 .... add 8 to both sides

d > 8

So if Jessica said "d is greater than 8", then her claim would always be correct.

However, her claim is sometimes true.

Two counter examples could be when d = 1 and d = 2.

If d = 1, then -8+d = -8+1 = -7 which isn't positive.

If d = 2, then -8+d = -8+2 = -6 which also isn't positive.

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