Linda rented a bike from Bruno's Bikes. They charged her $5 per hour, plus $12 fee. Linda paid less than $36. Write an inequalit
2 answers:
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Answer:
19) Domain: - ∞ < x < ∞ 20) Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞ Range: - ∞ < y < ∞
Increases throughout Decreases throughout
Step-by-step explanation:
Given the parent function " y = ∛x" we know that the first graph should have a vertical shift down 2 units, and a horizontal shift 4 units to the right. There is no vertical stretch since there is no coefficient. (Check first graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Increases throughout
______________________________
For the second graph there should be a vertical shift down three units, a horizontal shift 1 unit to the left, and a vertical stretch by a factor of - 1. (Check second graph)
Domain: - ∞ < x < ∞
Range: - ∞ < y < ∞
Decreases throughout
Answer:
In total, 1130 people applied in the University.
Step-by-step explanation:
Total applicants admitted = 256
Let the number of females who applied in University = k
So, the number of males who applied = ( k + 70)
Now, 20 %of females are admitted ⇒ 20% of (k) is admitted
or, the number of females admitted in university =
Also , 25 %of males are admitted ⇒ 25% of (k + 70) is admitted
or, the number of males admitted in university =
So, according to the question:
0.20k + 0.25(k+70) = Total admissions = 256
or, 0.2k + 0.25k + 17.5 = 256
⇒0.45k = 238.5
or, k = 238.5/0.45 = 530
Hence, total number of females who applied = 530
And Total males who applies = ( k + 70) = 600
Now, TOTAL Applications = MALE applications + FEMALE applications
= 530 + 600 = 1130
Hence, in total 1130 people applied in the University.
Answer:
third option
Step-by-step explanation:
Given f(x) then f(x) + c represents a vertical translation of f(x)
• If c > 0 then shift up by c units
• If c < 0 then shift down by c units
Given
g(x) = + 5 ← this represents a shift up of 5 units
Thus g(x) is the graph of f(x) translated up by 5 units