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.
105.60-75=35.60
35.60/.30=102
1000+102=1102. He used 1102 minutes
Answer:
y = -7x + 19
Step-by-step explanation:
Answer:
1. A 2. C
Step-by-step explanation:
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Answer:
To represent parts of whole numbers, we use fractions.
So if 4 kids are sharing 3 cookies, what happens?
First, we divide one cookie into four equal parts, and give one part to each kid. Then we do the same with the second cookie, and then with the third one.
In the end, each kid will have three pieces. Each piece is a whole cookie divided into four equal parts.
So we represent this amount as
3 (Number of parts) & 4 (How many equal parts the whole is divided into)
3
4
as a fraction
A fraction is made of two numbers :
