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3 years ago

Find the solution set for the following inequality: 5|x+3|−7≤13

Mathematics

1 answer:

xxMikexx [17]3 years ago

3 0

Answer:

x ≤ 1

Step-by-step explanation:

5(x+3) - 7≤13

5x+3 - 7≤ 13

5x+15-7 ≤ 13

5x+15 ≤ 13+7

5x+15 ≤ 20

5x ≤ 20-15

5x ≤ 5

x ≤ 1

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3 years ago

Solve for x: 3-x = 3(6x-9). Describe the process used to solve the equation and show each step.

FromTheMoon [43]

Answer:

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Step-by-step explanation:

Given equation is $3-x = 3(6x-9)$

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3 years ago

What two numbers add to be 6 and multiply to be 15

yarga [219]

$\displaystyle \bf \\
x_1+x_2=6\\\\
x_1\cdot x_2=15\\\\
\Longrightarrow~~x^2-6x+15=0\\\\
x_{12}=\frac{-b\pm\sqrt{b^2-4ac}}{2a}=\frac{6\pm\sqrt{36-60}}{2}=\\\\
=\frac{6\pm\sqrt{-24}}{2}=\frac{6\pm2\sqrt{-6} }{2}=3\pm i\sqrt{6}\\\\
x_1=\boxed{3-i\sqrt{6}}\\\\
x_2=\boxed{3+i\sqrt{6}}\\\\
\texttt{Verify:}\\\\
x_1+x_2=3-\underline{i\sqrt{6}}+3+\underline{i\sqrt{6}}=3+3=6~~correct\\\\
x_1\cdot x_2=(3-i\sqrt{6})(3+i\sqrt{6})=3^2-(i\sqrt{6})^2=9+6=15~~correct$

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4 years ago