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Andrew [12]
2 years ago
9

Please see attached image and help with these absolute value problems - thank you

Mathematics
1 answer:
Novay_Z [31]2 years ago
6 0

Answer:

{-infinity, infinity}

no solution

Step-by-step explanation:

|x| +15≥4

Subtract 15 from each side

|x| +15-15≥4-15

|x| ≥-11

This is always true so x can be and real number

{-infinity, infinity}

-2|5x+3| = 8

Divide by -2

-2/-2|5x+3| = 8/-2

|5x+3| = -4

This can never happen because absolute values are zero or greater

no solution

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2 years ago
Select all the inequalities that have symbols that will be reversed when the variable is isolated.
LenaWriter [7]

Answer:

-4.5c > 9 will have its inequality symbol reversed

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Step-by-step explanation:

anytime you are multiplying or dividing an inequality by a negative you must reverse the inequality symbol

5 0
2 years ago
Hayden earns $9.50 per hour as a lifeguard.He earns a bonus of $50.00 for taking a training course.How many hours must he work t
mel-nik [20]

Answer: he must work for at least 26.32 hours

Step-by-step explanation:

Let x represent the number of hours that Hayden works as a life guard.

Hayden earns $9.50 per hour as a lifeguard. This means that the amount that he earns for working for x hours would be

9.5x

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9.5x + 50

Therefore, the number of hours that he must work to earn at least $300.00 would be

9.5x + 50 ≥ 300

9.5x ≥ 300 - 50

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4 0
3 years ago
Why are the solutions to the proportions 40/8 = x/10 and x/40 = 10/8 the same?
romanna [79]

Answer:

Both proportions are equivalent.

Step-by-step explanation:

We have been given two proportions \frac{40}{8}=\frac{x}{10} and \frac{x}{40}=\frac{10}{8}. We are asked to find why the solutions to our given proportions are equal.

We can solve proportions by cross multiplying them.

After cross multiplying our both proportions we will get same equation that is:

40*10=8*x

400=8x

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Since we get same equation after cross multiplying both proportions, therefore, the solutions to the given proportions would be same.

4 0
3 years ago
Read 2 more answers
It says ( Find the length of the hypotenuse )<br> ~<br> Pls?<br> Thanks!
Mashcka [7]

Answer:

5

Step-by-step explanation:

In order to solve this problem, we need to use Pythagorem Theorem (a^2+b^2=c^2)

When using the pythagorem theorem the hypoteneuse would be the c^2 and the two other sides would be a and b (the order doesn't matter).

So, our formula would be:

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Simplifies into:

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In order to remove the exponent 2, we would have to square root both sides by 2. After doing so, you get the answer 5.

Hope this helps! :)

5 0
2 years ago
Read 2 more answers
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