Answer:
x ≥ 7
Step-by-step explanation:
|x - 7| = x - 7
A. For each absolute, find the intervals
x - 7 ≥ 0 x - 7 < 0
x ≥ 7 x < 7
If x ≥ 7, |x - 7| = x - 7 > 0.
If x < 7, |x - 7| = x - 7 < 0. No solution.
B. Solve for x < 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
-x + 14 = x
14 = 2x
x = 7
7 ≮7. No solution
C. Solve for x ≥ 7
Rewrite |x - 7| = x - 7 as
+(x - 7) = x - 7
x - 7 = x - 7
True for all x.
D. Merge overlapping intervals
No solution or x ≥ 7
⇒ x ≥ 7
The diagram below shows that the graphs of y = |x - 7| (blue) and of y = x - 7 (dashed red) coincide only when x ≥ 7.
The answer is c.. Just use the distributive property on c and it will equal what you have to factor
Answer:
Step-by-step explanation:
We need to find out the LCM of 56 , 42 , 28 . So Lowest Common Multiple known as LCM is the lowest multiple which is divisible by all the numbers whose LCM is taken out . It can we done by two methods. Both of which are discussed in the attachment .
For complete solution kindly refer to the attachment .
<u>Related</u><u> Information</u><u> </u><u>:</u><u>-</u><u> </u>
<u>•</u><u> </u><u>HCF </u><u>:</u><u>-</u>
- It stands for Highest Common Factor . It is the highest numbers which divides out completely the numbers without leaving remainder of the numbers whose HCF is we are finding out .
Answer:
$0.10/oz
Step-by-step explanation:
Unit rate simply means the amount per 1 unit of something.
In this case, we want to find the amount of money for 1 oz of something.
So, we divide 1.99 by 30 and divide 30 by 30 to get:
(1.99 / 30) / (30 / 30) = $0.0663 / 1 oz
Rounded to the nearest tenth, 0.0663 is about 0.1.
Thus, the answer is $0.10/oz.
