Answer:
<h2>D. (42 - 2x)(32 - 2x) = 900</h2>
Step-by-step explanation:
<em>Look at the picture.</em>
The dimensions of the picture:
(42 - 2x)in × (32 -2x)in
The formula of an area of a rectangle:
A = l · w
l - length, w - width
Substitute l = (42 - 2x), w = (32 - 2x) and A = 900
(42 - 2x)(32 - 2x) = 900
Answer:
(D) mean 2:55 p.m., standard deviation 5 minutes
Step-by-step explanation:
Jeanne walks twice as fast Dawna. This mean that her mean is going to be half that of Dawna, and her standard deviation is also going to be half of Dawna.
Dawna standard deviation is of 10 minutes. So Jeanne's standard deviation will be of 5 minutes.
Dawna walks 10 miles starting at 1:00 p.m. every day. On average she finishes at 3:50 p.m.
Dawna takes 2 hours and 50 minutes to walk 10 miles. That is 170 minutes.
Jeanne leaves 30 minutes later, and every day she runs 10 miles exactly twice as fast as Dawna walks on that day.
She leaves at 1:30 p.m. She takes half the time of Dawna, so 170/2 = 85 minutes. That is, 1 hour and 25 minutes. So she finishes at 2:55 p.m.
So the correct answer is:
(D) mean 2:55 p.m., standard deviation 5 minutes
Answer:
Domain: -4 < x < 4
Zeros: (-2, 0), (0, 0) and (2, 0)
The function is positive if: 0 < x < 2
The function is negative if: -4 < x < 0 and 2 < x < 4
Step-by-step explanation:
Domain of the function are those x values where the function is defined, For this case, -4 < x < 4
Zeros of a function are those x values where y = 0, that is, the graph intersect x-axis. For this case, the points are: (-2, 0), (0, 0) and (2, 0)
The function is positive if the graph o the function is above x-axis. For this case, the function is positive at the interval (0, 2)
The function is negative if the graph o the function is below x-axis. For this case, the function is negative at the intervals (-4, 0) and (2, 4)