Mr. Hasson has a coupon that says 25% off. He buys a pair of biking shorts that originally costs $34. He calculates 25% of 34 an
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Using it's concept, the average rate of change of the function over the interval 10 < x < 22 is given by:
It is given by the change in the <u>output divided by the change in input</u>.
Over the interval 10 < x < 22, the outputs are f(10) and f(22), hence the rate of change is given by:
More can be learned about the average rate of change of a function at brainly.com/question/24313700
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Part A
We have
. To solve for the x-intercept, we set f(x) equal to 0. That is
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
.
Factor out -2
Complete the square
Simplify
Part C
We have
.
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.
We have
Take the square root of both sides,
The x-intercept is (-2,0).
To solve for the y-intercept, we set x=0. That is
The y-intercept is (0, 8)
The coordinates of the optimum point are actually the vertex which can be easily seen from the vertex form equation given above. The minimum point is (-3, -1).
Part B.
We have
Factor out -2
Complete the square
Simplify
Part C
We have
The maximum height is 12.25 feet after 0.875 seconds from the time of the jump. The dolphin will be back in the water after 1.75 seconds. The graph of the jump is shown in the photo.