amy purchases 27 teeshirts for a certain amount of money. using m for the total amount of money in dollars that amy spent on tee
1 answer:
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Answer:
Option C.
Step-by-step explanation:
It is given that the dilation rule is . It means the center of dilatation is point Q and scale factor is 2.5.
Scale factor is the ratio of distance from center to the image of a point and distance from center to the corresponding point.
It is given that QU=4 and scale factor = 2.5.
Multiply both sides by 4.
We know that
The distance between U' and U is 6 units.
Therefore, the correct option is C.
The maxima of f(x) occur at its critical points, where f '(x) is zero or undefined. We're given f '(x) is continuous, so we only care about the first case. Looking at the plot, we see that f '(x) = 0 when x = -4, x = 0, and x = 5.
Notice that f '(x) ≥ 0 for all x in the interval [0, 5]. This means f(x) is strictly increasing, and so the absolute maximum of f(x) over [0, 5] occurs at x = 5.
By the fundamental theorem of calculus,
The definite integral corresponds to the area of a trapezoid with height 2 and "bases" of length 5 and 2, so