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3 years ago

I need help with this question

Mathematics

1 answer:

Andreyy893 years ago

5 0

I believe the answer is C
Hope i helped
Let me know if i was right
:)

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What is the solution of |2x| = –4?

DENIUS [597]

-2x=-4 or x=2
2x =-4 or x=-2

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3 years ago

The graph h = −16t^2 + 25t + 5 models the height and time of a ball that was thrown off of a building where h is the height in f

Thepotemich [5.8K]

Answer:

part 1) 0.78 seconds

part 2) 1.74 seconds

Step-by-step explanation:

step 1

At about what time did the ball reach the maximum?

Let

h ----> the height of a ball in feet

t ---> the time in seconds

we have

$h(t)=-16t^{2}+25t+5$

This is a vertical parabola open downward (the leading coefficient is negative)

The vertex represent a maximum

The x-coordinate of the vertex represent the time when the ball reach the maximum

Find the vertex

Convert the equation in vertex form

Factor -16

$h(t)=-16(t^{2}-\frac{25}{16}t)+5$

Complete the square

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+5+\frac{625}{64}$

$h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}\\h(t)=-16(t^{2}-\frac{25}{16}t+\frac{625}{1,024})+\frac{945}{64}$

Rewrite as perfect squares

$h(t)=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

The vertex is the point $(\frac{25}{32},\frac{945}{64})$

therefore

The time when the ball reach the maximum is 25/32 sec or 0.78 sec

step 2

At about what time did the ball reach the minimum?

we know that

The ball reach the minimum when the the ball reach the ground (h=0)

For h=0

$0=-16(t-\frac{25}{32})^{2}+\frac{945}{64}$

$16(t-\frac{25}{32})^{2}=\frac{945}{64}$

$(t-\frac{25}{32})^{2}=\frac{945}{1,024}$

square root both sides

$(t-\frac{25}{32})=\pm\frac{\sqrt{945}}{32}$

$t=\pm\frac{\sqrt{945}}{32}+\frac{25}{32}$

the positive value is

$t=\frac{\sqrt{945}}{32}+\frac{25}{32}=1.74\ sec$

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2 years ago

Graphing Coordinates

lukranit [14]

Answer:

(-10,0)(-5,0)(-10,-10)(-10,-5)

Step-by-step explanation:

If we count each box as one unit then we just count and if you left or down it is negative

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1 year ago

Factor the trinomial in to 2 sets of parentheses <br> 12a squared minus 13a minus 35

Juliette [100K]

It can't be factored because there are no 2 numbers that when you multiply you get 35 and when you add you get 13.

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2 years ago

32 is 40% of what number? Enter your answer in the box.

Whitepunk [10]

32 is 40% of 80...…....

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3 years ago

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