Answer: A) intercepts: zero profit; maximum: maximum profit. increasing: x < 4; decreasing x > 4
B) average slope: ≈50, about $50 increased profit for each $1 increase in price.
Step-by-step explanation:
A) The vertical axis of the graph represents profit, so the x-intercepts represent prices that produce zero profit. The maximum value of the graph is the maximum profit that can be obtained for any price.
The function is increasing for all prices below the one producing maximum profit (x < 4). The function is decreasing for all prices above the one producing maximum profit (x > 4). Obviously profit is increasing with price for x < 4, and is decreasing with price for x > 4.
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B) We read the value of f(1) from the graph to be about 120, so the average rate of change is about ...
(f(4) -f(1))/(4 -1) = (270 -120)/(3) = 50
The average rate of change from x=1 to x=4 is about 50.* This means profit will increase on average $50 for each $1 increase in price in that interval.
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* If we take the peak profit to be $270, we can write f(x) as ...
f(x) = 16.875x(x -8)
Then f(1) = 118.125 and the average rate of change is 50.625. For the purpose here, we judge the extra precision to be pointless.
Step-by-step explanation:
Answer:
Step-by-step explanation:
The initial value is the value when x = 0.
For x = 0,
A full circle is 360 degrees.
The circle is separated into 8 parts, so each arc is 1/8 of a circle, which equals: 360/8 = 45 degrees.
There are 2 45 degree arcs between B and C, so the arc from B to C = 45 x 2 = 90 degrees.
The answer is B.
Answer:
552.5
Step-by-step explanation:
2/5x + 68 = 289
2/5 x = 289 - 68
2/5x = 221
x = 221 * 5/2 = 552.5
I hope im right!!!
Answer:
For the first question, 180 degrees equals to a half of the sphere. For the second question, you need 24 central meridians for a complete sphere, which are exactly the hours in a day.
Step-by-step explanation:
A sphere is basically a 3D circle. As a circle has 360 degrees, 180 degrees would be half of a circle. Imagine you are on a satellite over the north pole or the south pole and you have a way to cut the earth by the middle. You will get two halves of sphere.
About the second question, you may need to have in mind that a day is the time spent for the earth to rotate all 360 degrees over its own axis. British fellow, on XIX century, decided they were the center of the world. As previously, back in the days, some other people decided a day had 24 hours, they decided to draw this lines and divide the earth in 24 pieces, so they could knew which time was on every point their extense kingdom had. As I said, a circle has 360 degrees, (360 degrees)/(24 hours) equals to 15 degrees.
