Answer: D) 10 sin (πx) - 5
<u>Step-by-step explanation:</u>
The range (maximum - minimum) is 5 - (-15) = 20
The amplitude (A) is range (20) ÷ 2 = 10
The vertical shift (D) is maximum (5) - amplitude (10) = -5
Of the given options, only A & D are candidates. Now we need to decide if it is a cos graph (A) or a sin graph (D). If we shift the graph up 5 units (to eliminate the vertical shift) , the graph would pass through the origin. Thus it is a sin graph and the answer must be option D.
Answer:
option b is the correct one l
For this case we have the following inequality:

To find the solution we follow the steps below:
We apply distributive property on the right side of inequality:

Adding 13 to both sides of the inequality we have:

We subtract 6x on both sides of the inequality:

Thus, we have that any value of "x" makes the inequality fulfilled. Thus, the solution is given by all real numbers.
Answer:
The solution set is (-∞,∞)
The answer is the last one -27/(-3)-9 .

r=0.25 miles
l=2×

×0.25
=0.5 × 3.14
=1.57
120(minutes)÷2(miles)=60(minutes per mile)
60×1.57=94.2 minutes