Multiple Choice Describe how the graphs of y = |x| and y = |x| – 15 are related.
A. The graphs have the same shape. The y-intercept of y = |x| is 0, and the x-intercept of the second graph is –15.
B.
The graphs have the same y-intercept. The second graph is steeper than y = |x|.

C. The two graphs are the same.
D. The graphs have the same shape. The y-intercept of y = |x| is 0, and the y-intercept of the second graph is –15.

D is correct

Step-by-step explanation:

A graph of that sort will make a perfectly mirrored "V" shape, and with no offset, the bottom point will be on the y axis.  This means that the first equation will intercept the y axis at zero, the second will intercept the y-axis at -15.

"A" may seem correct also, as the second graph will intercept the x-axis at -15, but it is not complete, as it will intercept that axis at +15 as well.

7.9m and 4.3°

step-by-step explanation:

let east be +x and north be +y, x = distance * cos θ, y = distance * sin θ  

for 3.5 south, y = -3.5  

for 8.2, x = 8.2 * cos 30 and y = 8.2 * sin 30  

for 15 west, x = -15  

total x = 8.2 * cos 30 – 15 ≈ -7.9  

total y = -3.5 + 8.2 * sin 30 = 0.6  

magnitude = [(8.2 * cos 30 – 15)^2 + 0.6^2)]^0.5  

the magnitude is approximately 7.9 m  

tan θ = y/x = 0.6/-7.9  

the angle is approximately 4.3˚ north of west

the answer is a) a healthy economy because it results from a steady rise in demand.