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Andrews [41]
2 years ago
9

-2(x-4)-3x<-(4x+1)+2x

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0
The solution to this equation is: x<7
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92,542 to the nearest ten thousand
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93,000 is the correct answer
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What is the maximum height of of Anna's golf ball? The equation is y=x−0.04x2.
elena-s [515]

Given:

The height of a golf ball is represented by the equation:

y=x-0.04x^2

To find:

The maximum height of of Anna's golf ball.

Solution:

We have,

y=x-0.04x^2

Differentiate with respect to x.

y'=1-0.04(2x)

y'=1-0.08x

For critical values, y'=0.

1-0.08x=0

-0.08x=-1

x=\dfrac{-1}{-0.08}

x=12.5

Differentiate y' with respect to x.

y''=(0)-0.08(1)

y''=-0.08

Since double derivative is negative, the function is maximum at  x=12.5.

Substitute x=12.5 in the given equation to get the maximum height.

y=(12.5)-0.04(12.5)^2

y=12.5-0.04(156.25)

y=12.5-6.25

y=6.25

Therefore, the maximum height of of Anna's golf ball is 6.25 units.

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3 years ago
Vary hard 11th grade test paper
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Tickets for a basketball game cost $2 for students and $5 for adults. The number of students was 3 less than 10 times the number
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2 years ago
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