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.
Answer:
0.2x² - 0.2x - 42 = 0
Step-by-step explanation:
Number of counters = x
Number of blue counters =7
Probability, p = required outcome / Total possible outcomes
P(Sam picks blue ) : = 7/x
P(jill picks blue) = 6/(x - 1)
P(Sam picks blue) * P(Jill picks blue) = 0.2
7/x * 6/(x-1) = 0.2
42/x(x - 1) = 0.2
42 / x² - x= 0.2
42 = 0.2(x² - x)
42 = 0.2x² - 0.2x
0.2x² - 0.2x - 42
Answer:
tan(13)-tan(2)
Step-by-step explanation:
= Monthsarry namin ng bebe ko
9514 1404 393
Answer:
x = 136
Step-by-step explanation:
The angle marked x° is half the sum of the intercepted arcs:
x° = (130° +142°)/2 = 272°/2
x = 136
Final number of white sheep = 5 - 2 =3
Final number of black sheep = 7 - 2 = 5
ANSWER product = 3*5 = 15
