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MariettaO [177]
3 years ago
12

+ Extra points, and I will give BRAINLIEST to the first person to get this question right.

Mathematics
1 answer:
Scrat [10]3 years ago
3 0
X = -15

14(-15) + 6
-------------- = - 68
3

-8 + 4(-15) = - 68

So, -3(-15)² - 7 = -682

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Viefleur [7K]
Q.12

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Katie's business is going so well she wants to expand and add a shirt. She makes an isosceles triangle logo like the one below.
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A manufacturer cuts squares from the corners of a rectangular plece of sheet metal that measures 2 inches by 7 inches (see Figur
Vladimir79 [104]

Answer:

The value of x that maximizes the volume enclosed by this box is 0.46 inches

The maximum volume is 3.02 cubic inches

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

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V=LWH

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L=(7-2x)\ in\\W=(2-2x)\ in\\H=x\ in

substitute

V=(7-2x)(2-2x)x

Convert to expanded form

V=(7-2x)(2-2x)x\\V=(14-14x-4x+4x^{2})x\\V=14x-14x^2-4x^2+4x^{3}\\V=4x^{3}-18x^{2} +14x

using a graphing tool

Graph the cubic equation

Remember that

The domain for x is the interval -----> (0,1)

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then

the width is negative (W=2-2x)

so

The maximum is the point (0.46,3.02)

see the attached figure

therefore

The value of x that maximizes the volume enclosed by this box is 0.46 inches

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8 0
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Can some one plz help me
WARRIOR [948]
#2 because it’s a Pythagorean theorem triple
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Answer:

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