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Nookie1986 [14]
3 years ago
11

Jake tosses a coin up in the air and lets it fall on the ground. The equation that

Mathematics
1 answer:
Phoenix [80]3 years ago
7 0

Answer:

t = 1.71825

Step-by-step explanation:

Given

h(t) = -16t^2 + 24t + 6

Required

When will the coin hit the ground

When the coin hits the ground, h(t) = 0

The expression h(t) = -16t^2 + 24t + 6 becomes

0 = -16t^2 + 24t + 6

Multiply through by -1

16t^2 - 24t - 6 = 0

Solve using quadratic formula

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

Where

a = 16

b = -24

c = -6

t = \frac{-b\±\sqrt{b^2 - 4ac}}{2a}

t = \frac{-(-24)\±\sqrt{(-24)^2 - 4 *16 * -6}}{2 * 16}

t = \frac{24\±\sqrt{576 +384}}{32}

t = \frac{24\±\sqrt{960}}{32}

t = \frac{24\±30.984}{32}

Split

t = \frac{24+30.984}{32} or t = \frac{24-30.984}{32}

t = \frac{54.984}{32} or t = \frac{-6.984}{32}

t = 1.71825 or t = -0.21825

But time can't be negative;

So:

<em>Time to hit the ground is 1.71825 seconds</em>

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Answer:

1. 15

2. 8

Step-by-step explanation:

The two sequence are geometric progression GP, because they follow a constant multiple (common ratio)

The nth term of a GP is;

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Where;

a = first term

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For the first sequence;

The common ratio r is

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r = 6

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Substituting the values of r;

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a = 15

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2. The sam method applies here.

Common ratio r = T3/T2 = 128/32 = 4

r = 4

T2 = ar^(2-1) = ar

T2 = 32 = ar

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a = 32/4

a = 8

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4 0
3 years ago
Which pair shows equivalent expressions?
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Step-by-step explanation:

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Hope this helps.

8 0
3 years ago
Liliana wants to determine the height of an enlarged photo that she plans to frame. The original photo was 11 inches wide by 14
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Answer: 168 inches.

Explanation:

First thing you must always do when solving word problems is read closely, and take note of any number.

In this case, the first thing we must do is find the scale factor.

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