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2 years ago

A(x) = x( 48 - x) When is A(x) at its maximum? Explain or show how you know.

Mathematics

1 answer:

krek1111 [17]2 years ago

4 0

Answer:

When X = 24

Step-by-step explanation:

Use derivative to locate the turning point.

48 - 2X = 0, => X = 24

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A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer because the average

zhenek [66]

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.

Let x be the speed of the car

Car trip from New York to Cincinnati

We know Distance D = speed * time

time = 12.5 hours and speed =x

D = 12.5x

Return trip

The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours

he average rate of speed was 4 mph less. So speed is x-4

Distance D = speed * time

time = 13.5 hours and speed =x-4

D = (x-4)*13.5

D= 13.5x-54

The distance of ongoing trip and return trip are same

So we equate both the distance equations D= 13.5x-54 and D= 12.5x

12.5x = 13.5x-54

Subtract 13.5 on both sides

-1x = -54

x=54

speed of ongoing trip = 54 miles per hour

Distance D = 12.5x = 12.5 * 54=675 miles

The length of the route = 675 miles

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3 years ago

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Olegator [25]

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2 years ago

How would you do this as a decimal number ?

Contact [7]

Answer:

-5.875

Step-by-step explanation:

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3 years ago

If an object is dropped from a height of 116 feet, the function h(t)=-16t^2+116 gives the height after t seconds. When will the

7nadin3 [17]

Let h(t)= 0 (because when it reaches the ground h=0)

0=-16t^2+116
16t^2=116
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3 0

3 years ago

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Find the slope of the line. 5x – 2y = 7

nika2105 [10]

Answer:

Final answer is slope $m=\frac{5}{2}$

Step-by-step explanation:

Given equation is $5x-2y=7$

Now question says to find the slope.

Since given equation $5x-2y=7$ is a linear equation so we need to compare $5x-2y=7$ with slope intercept formula $y=mx+b$ to get the value of slope m.

Since $5x-2y=7$ is not in that form so first let's rewrite it in y=mx+b form

$5x-2y=7$

$-2y=-5x+7$

$y=\frac{-5x+7}{-2}$

$y=\frac{5}{2}x-\frac{7}{2}$

Now comparing with y=mx+b, we get $m=\frac{5}{2}$

Hence final answer is slope $m=\frac{5}{2}$

8 0

3 years ago

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