C is the correct answer. Hope I helped :)
Answer:
D
Step-by-step explanation:
First of, let's make a table for y = cos(x)
(x , y): (0 , 1) (π/2 , 0) (π , -1) (3π/2 , 0) (2π , 1)
Now, making a table for y = 2cos(x) is simple. We just have to multiply all the y-values from the previous table by 2.
(x , y): (0 , 2) (π/2 , 0) (π , -2) (3π/2 , 0) (2π , 2)
Graphing these coordinates, we find that the answer is D.
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Answer:
The function r(x)=(2+.25x)(240-20x) reveals that the revenue earned by the cafe from coffee sales will be $500 after 2 $0.25 price increases.
Step-by-step explanation:
The revenue from sales is the product of the price per cup and the number of cups sold.
For x increases of $0.25 each, the price per cup is (2 +0.25x).
For x increases of $0.25 each, the number of cups sold is (240 -20x).
Then the revenue as a function of x is ...
r(x) = (2 +0.25x)(240 -20x)
The revenue function can be simplified to better show its zeros.
r(x) = 5(8 +x)(12 -x)
The maximum is halfway between the zeros, so is at x = (-8 +12)/2 = 2.
When x=2, the revenue is ...
r(2) = 5(8+2)(12-2) = 5(10)(10) = 500
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The function <u>r(x)=(2+.25x)(240-20x)</u> reveals that the revenue earned by the cafe from coffee sales will be <u>$500</u> after <u>2</u> $0.25 price increases.
Combine like terms : 8y = 16
Divide by 8 on both sides : y = 2
