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BlackZzzverrR [31]
3 years ago
6

M - 2 < -8 or m/8 >1

Mathematics
1 answer:
Katena32 [7]3 years ago
7 0

So starting with the first inequality, m - 2 < -8, add 2 on both sides of the equation and <u>your first half is m < -6.</u>

Next, with m/8 > 1, multiply both sides by 8 and <u>your second half is m > 8</u>

Putting it together, <u>your answer is m < -6 OR m > 8.</u>

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Answer:

a)The sunglasses hit the ground at t=0 seconds

b)The maximum height  h(t) = 1600feet

Step-by-step explanation:

<u><em>Step(i):-</em></u>

Given that the polynomial function

                     h(t) = -16 t² + 1600 ...(i)

Differentiating equation (i) with respective to 't' , we get

              \frac{dh}{dt} = -16(2t)+0

Equating zero

             \frac{dh}{dt} = 0

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      ⇒   t =0

The sunglasses hit the ground at t=0 seconds

<u><em>Step(ii):-</em></u>

Again differentiating with respective to 't', we get

\frac{d^{2} h}{dt^{2} } = -32(1) = -32

The maximum height at t=0

 h(t) = -16 t² + 1600

 h(t) = 1600feet

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