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Gekata [30.6K]
2 years ago
11

. help me i don't know how to do this. (algebra 2)

Mathematics
1 answer:
Ksenya-84 [330]2 years ago
4 0
Is there a picture or text?
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Solve 8 − |2x − 1| ≥ 6. State your answer in interval notation
Gnoma [55]

Answer:

\huge\boxed{x\in[-0.5,\ 1.5]}

Step-by-step explanation:

8-|2x-1|\geq6\qquad\text{subtract 8 from both sides}\\\\8-8-|2x-1|\geq6-8\\\\-|2x-1|\geq-2\qquad\text{change the signs}\ /\text{multiply both sides by (-1)}/\\\\|2x-1|\leq2\iff2x-1\leq2\ \wedge\ 2x-1\geq-2\qquad\text{add 1 to all sides}\\\\2x-1+1\leq2+1\ \wedge\ 2x-1+1\geq-2+1\\\\2x\leq3\ \wedge\ 2x\geq-1\qquad\text{divide all sides by 2}\\\\\dfrac{2x}{2}\leq\dfrac{3}{2}\ \wedge\ \dfrac{2x}{2}\geq\dfrac{-1}{2}\\\\x\leq1.5\ \wedge\ x\geq-0.5\Rightarrow-0.5\leq x\leq1.5

3 0
3 years ago
Jack and melissa were on a date for Valentine's day. The restaurant bill came out to 52 00. Jack left 62.40 to cover the check a
Mandarinka [93]

Jack left 16.66% of  gratuity for the waiter.

Step-by-step explanation:

Given:

Restaurant bill amount =  52.00

Total bill jack paid =  62.40

To find:

percent of gratuity Jack left for the waiter = ?

Solution:

Lets first find the amount jack gave has gratuity to the waiter

The amount given for gratuity =   62.40 -  52.00

The amount given for gratuity =   10.40

Now the percentage is

=\frac{10.40}{62.40} \times 100

= 0.166 \times 100

=  16.66 %

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3 years ago
Order from least to greatest<br> - 1/3, - 0.2, 5/3 , 0.4, 1.3
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- 1/3, - 0.2 , 0.4, 1.3, 5/3

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Answer:

Step-by-step explanation:,

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Answer: The Video Math Tutor. This is a great channel that provides several tutoring math videos covering different topics including Basic Math lessons,, calculator tips, brain teasers, and many more.

Step-by-step explanation:

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