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2 years ago

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Mathematics

1 answer:

Kisachek [45]2 years ago

8 0

Option 3 and 4. The two options that shows the correct representation of the inequality are:

- 6x + 15 < 10 - 5x

An open circle is at 5 and a bold line starts at 5 and is pointing to the right

<h3>How to solve the inequality</h3>

–3(2x – 5) < 5(2 – x)

We have to open up the brackets by multiplying the sides

= -6x + 15 < 10 - 5x

Hence the third option is certified to be correct.

Next this inequality has to be shown on a number line.

To do this we have to solve the inequality completely

From -6x + 15 < 10 - 5x

we have to take like terms

-6x+5x < 10 - 15

-x < -5

x<5

The sign of inequality has to be reversed given that the coefficient of x was negative.

Hence x>5. The number line would start from the right and it would move towards the right

From the solution here, we can see that the two correct options are

–6x + 15 < 10 – 5x
An open circle is at 5 and a bold line starts at 5 and is pointing to the right.

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How does the job satisfaction score for weeks 5-8 compare to weeks 1-4?

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The correct comparison for Weeks 5-8 is higher than Week 1-4, hence, the job satisfaction for Week 5-8 is 17% higher.

Job Satisfaction Score :

Week 1 = 3.50
Week 2 = 3.40
Week 3 = 3.30
Week 4 = 3.60
Week 5 = 4.20
Week 6 = 4.00
Week 7 = 4.10
Week 8 = 3.90

Job Satisfaction for week 1 - 4 :

Week 1 + Week 2 + Week 3 + Week 4
(3.50 + 3.40 + 3.30 + 3.60) = 13.80

Job Satisfaction for Week 5 - 8 :

Week 5 + Week 6 + Week 7 + Week 8
(4.20 + 4.00 + 4.10 + 3.90) = 16.20

Difference between the two categories :

[(Week 5 - 8) - (Week 1-4)] / Week 1-4] × 100%

(16.20 - 13.80) / 13.80 × 100%

(2.4 / 13.80) × 100%

0.1739 × 100%

= 17.39%

Therefore, the job satisfaction for Week 5 - 8 is about 17% higher than Week 1 - 4

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Answer:

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Step-by-step explanation:

Use the Pythagorean theorem.

a^2 + b^2 = c^2

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a^2 + 29^2 = 35^2

Simplify.

a^2 + 841 = 1225

Get a by itself by adding -841 to both sides to cancel out the 841.

a^2 = 384

Find the square root of both sides to get rid of the exponent.

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