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3 years ago

How do I solve this inequality?

Mathematics

1 answer:

djverab [1.8K]3 years ago

5 0

Step-by-step explanation:

9 ≤ |4x + 7|

9 ≤ 4x + 7

9 - 7 ≤ 4x

2 ≤ 4x

2/4 ≤ x

9 ≤ |4x + 7|

9 ≤ -(4x + 7)

9 ≤ -4x - 7

9 + 7 ≤ -4x

16 ≤ - 4x

16/-4 ≤ x

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Line r passes through points (8,10) and (2,3). Line s is perpendicular to r. What is the slope of line S?

Zepler [3.9K]

Answer:

$-\dfrac67$

Step-by-step explanation:

slope of r:

$a_r=\dfrac{10-3}{8-2}=\dfrac76$

s is perpendicular to r:

$s\perp r\ \ \implies\ \ a_s\cdot a_r=-1\\\\a_s\cdot\dfrac76=-1\\\\a_s=-\dfrac67$

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Step-by-step explanation:

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3 years ago

Mike earns $15 for each hour he work plus a $25 bonus. How much does he earn in 10 hours of work?

MakcuM [25]

<h3>Hello there!</h3>

We are trying to find how much Mike earns when he worked for 10 hours

Lets make an equation out of the given information in the question.

We know that:

Earns $15 each hour
$25 bonus

We would format it as y = mx + b

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We know that he worked 10 hours, so we would plug 10 into x.

Then, we can solve.

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<h3>Answer: $175</h3><h3>I hope this helps!</h3><h3>Best regards,</h3><h3>MasterInvestor</h3>

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4 years ago