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Related questions with answers

A ball initially at rest rolls down a hill and has an acceleration of 3.3 $\mathrm{m} / \mathrm{s}^{2}$ . If it accelerates for 7.5 s, how far will it move during this time? F. 12 m, G. 93 m, H. 120 m, J. 190 m.

Solve each equation. Check your solutions. $10 - x = 9x$

Solve the equation. Check your solution.

v-7=9+12

Question

Solve the inequality. Graph and check the solution.
$55>-7 v+6$

Solution

Verified

Step 1

1 of 2

Subtract $6$ from the both sides.

\begin{align*} 55-6&> -7v+6-6\\ 49&> -7v&&\text{Divide both sides by}\,\, (-7).\\ \dfrac{\cancel{7}\cdot 7}{(-\cancel{7})}&< \dfrac{\cancel{(-7)}\cdot v}{\cancel{(-7)}}&&\text{Reverse the direction of inequality, due to the division with a negative number}\\ -7&<v \end{align*}

Check the solution for $v>-7$ . For example, ${\color{#c34632}v=-6}$ .

\begin{align*} 55\mathop>\limits^{?}-7\cdot(-6)+6\\ 55\mathop>\limits^{?}42+6\\ 55\mathop>\limits^{?}48\\ True\\ \end{align*}

This inequality is shown in the picture.

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