cchotshot

23.09.2019 •

Mathematics

Ineed to know number 12 and how to solve it

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Ответ:

mpete1234567890

24.10.2020

Mathematics

t is between 0 seconds and 4.878

Step-by-step explanation:

Given:

Inequality: -4.9t^2 + 22t + 0.75 10

Required

Determine the value(s) of t

To answer this question, we simply solve the inequality

-4.9t^2 + 22t + 0.75 10

Subtract 10 from both sides

-4.9t^2 + 22t + 0.75 - 10 10 - 10

-4.9t^2 + 22t -9.25 0

Multiply through by -1

4.9t^2 - 22t + 9.25 < 0

Solve the value of t using quadratic formula

$t = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}$

Where

a = 4.9; b = -22 and c = -9.25

So:

$t = \frac{-(-22) \± \sqrt{(-22)^2 - 4 * 4.9 * -9.25}}{2 * 4.9}$

$t = \frac{22 \± \sqrt{484 + 181.3}}{9.8}$

$t = \frac{22 \± \sqrt{665.3}}{9.8}$

$t = \frac{22 \± 25.80}{9.8}$

Split the expression

$t = \frac{22 + 25.80}{9.8}$ or $t = \frac{22 - 25.80}{9.8}$

$t = \frac{47.8}{9.8}$ or $t = \frac{-3.8}{9.8}$

t = 4.878 or t = -0.388

Since t cannot be negative; Then

t < 4.878

Hence; t is between 0 seconds and 4.878

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