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Number problem:find two numbers whose sum is 14 and whose product is maximum
A. What are the two numbers?
B. What are the maximum product?
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Pa sagot po ibrainliest ko ang nag sagot
Number problem:find two numbers whose sum is 14 and whose product is maximum
A. What are the two numbers?
B. What are the maximum product?
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Answer:
A.7
b. 7
Step-by-step explanation:
Here is an algebraic solution:
Let x = one of the numbers. Then 14-x is the other
So, we are to maximize y = x(14-x) = -x2+14x
The graph of y = -x2+14x is a parabola opening downward with x-intercepts (0,0) and (14,0).
The x-coordinate of the maximum point lies halfway between 0 and 14.
So, the two numbers are 7 and 7.