The absolute value function |<em>x</em>| always returns a non-negative number. It takes any number <em>x</em> and returns <em>x</em> if it's already non-negative, or -<em>x</em> if it is negative in order to make it positive.

For the equation
-3 + 4 |2<em>x</em> - 5| = 14
rearrange terms to get
|2<em>x</em> - 5| = 17/4
Now,
• if 2<em>x</em> - 5 ≥ 0, then |2<em>x</em> - 5| = 2<em>x</em> - 5. Then
2<em>x</em> - 5 = 17/4
• and if instead 2<em>x</em> - 5 < 0, then |2<em>x</em> - 5| = -(2<em>x</em> - 5), so that
-(2<em>x</em> - 5) = 17/4, or
2<em>x</em> - 5 = -17/4
In the first case,
2<em>x</em> - 5 = 17/4
2<em>x</em> = 17/4 + 5 = 37/4
<em>x</em> = 37/8
In the second case,
2<em>x</em> - 5 = -17/4
2<em>x</em> = -17/4 + 5 = 3/4
<em>x</em> = 3/8
Answer:
21.98 is the circumference because is it 7 pi 7 times 3.14. For the area though it is 38.48 because you need to get the radius of the circle and you divided 7 by 2 which is 3.5 and here is the work A=πr2=π·3.52≈38.48451
Step-by-step explanation:
Hope this helped and you understood if you want it would help a lot if you put it brainliest.
Answer:
27
Step-by-step explanation:
Let the middle number be x.
(x - 1)(x)(x + 1) = 21,924
You can solve that equation, or you can use logic.
The 3 numbers are going to be close to the cubic root of 21,924.
cubic root of 21,924 = 27.988 or approx 28.
Try 27, 28, 29
27 * 28 * 29 = 21,924
Answer: 27
Answer:
Simplified the expression.
y2x+5y−5yx−25
I think this is what were were asking, if not please explain better.
Hope this helps :D
plz like & brainly
Answer:
<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Original price of a microwave = $ 75
Mark-up price of the microwave = $ 90
Sale price of the microwave = $ 57
2. What is the percent decrease from the original price to the sale price?
For answering this question we will use the Direct Rule of Three this way:
Price Percentage
75 100%
57 x
75x = 57 * 100
75x = 5,700
x = 5,700/75
x = 76
76 = 100 - 24
<u>The percent decrease of the microwave from the original price to the sale price is 24%</u>