<u>Answer:</u>
He will order 72 pairs of high tops
<u>Explanation:</u>
Given the store owner sells two pairs of running shoes for each pair of high tops
For every pair of high tops, he sells 2 pairs of running shoes
1 high top = 2 running shoes
He has planned to order 144 pairs of shoes
Therefore, 144 pair of running shoes = 144/2 = 72 pairs of high tops
Therefore, he will order 72 pairs of high tops
Answer:

![x\in [5.55,6.45]](https://tex.z-dn.net/?f=x%5Cin%20%5B5.55%2C6.45%5D)
Step-by-step explanation:
<u>Absolute Value Inequality</u>
Assume the actual width of a safety belt strap for a certain automobile is x. We know the ideal width of the strap is 6 cm. This means the variation from the ideal width is x-6.
Note if x is less than 6, then the variation is negative. We usually don't care about the sign of the variation, just the number. That is why we need to use the absolute value function.
The variation (unsigned) from the ideal width is:

The question requires that the variation is at most 0.45 cm. That poses the inequality:

That is the range of acceptable widths. Let's now solve the inequality.
To solve an inequality for an absolute value less than a positive number N, we write:

This is a double inequality than can be easily solved by adding 6 to all the sides.

Operating:

That is the solution in inequality form. Expressing in interval form:
![\boxed{x\in [5.55,6.45]}](https://tex.z-dn.net/?f=%5Cboxed%7Bx%5Cin%20%5B5.55%2C6.45%5D%7D)
we are given point as
(x,y)=(5,7)
translating 3 units to right side
It means we will subtract 3 to x-value
and we get
(x,y)= (5-3,7)
(x,y)=(2,7)
now, it is reflected about x-axis
so, we can change y-value as -y
so, we get our new point as
(x,y)=(2,-7)
now, we have to find it's image reflection
so, we will get
(x',y')=(-7,2).........Answer
Answer:
so i just went on spreadsheets and created this and screenshotted it i hope this helps
Step-by-step explanation:
Answer:
2x³ - 6x² - x
Step-by-step explanation:
Divide each term in f(x) by g(x), that is
-
- 
= 2
- 6
- 
= 2x³ - 6x² - x