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2 years ago

Solve the compound inequality. -14< 3x+1 ≤ 13 Graph the solution on the number line.

Mathematics

1 answer:

Zolol [24]2 years ago

8 0

Answer:

(1) 2x - 6 < - 14

(2) 2x + 3 < 1

Explanation:

(1) 2x - 6 < -14 -> 2x < - 8 -> x < - 4

(2) 2x + 3 < 1 -> 2x < -2 --> x < -1

Compound solution set: x < - 4

==========|-4----------|-1-------|0----------------

Step-by-step explanation:

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TiliK225 [7]

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triangle AMY ~ MEG , AM = 5 MY=7 AY =3. MEG IS A DILATION of AMY by a scale facyor of 1/3. fimd the perimeter of MEG.

Mademuasel [1]

Answer:

Explanation:

From the question, we're told that triangles AMY and MEG are similar. If triangle AMY has sides AM = 5, MY = 7, and AY = 3 then we can find the side lengths of triangle MEG since we're told from the question that it is a dilation of AMY by a scale factor of 1/3.

So all we need to is multiply the corresponding sides of AMY by 1/3, so we'll have;

$\begin{gathered} ME=5\ast\frac{1}{3}=\frac{5}{3} \\ EG=7\ast\frac{1}{3}=\frac{7}{3} \\ MG=3\ast\frac{1}{3}=3 \end{gathered}$

We can then go ahead and find the perimeter of MEG. Note that to find the perimeter of a triangle, we add all the length of its sides;

$\begin{gathered} \text{Perimeter of MEG}=\frac{5}{3}+\frac{7}{3}+3 \\ =\frac{5+7+9}{3} \\ =\frac{21}{3} \\ =7 \end{gathered}$

The perimeter of MEG is 7.

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3 years ago

Edgar Anderson earns $200 a week plus a 15% commission on all sales over $1,000. If Mr. Anderson's sales for one week are $2,500

nignag [31]

Find the gross pay of Mr. Anderson in a week.
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In a week he earned 2500 dollars.
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Answer:

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Step-by-step explanation:

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