If the product of two numbers is 150.And one of them is -10 find the other number.
Answers
Step-by-step explanation:
Take a number, x. If it adds to some other number to equal 150, then 150-x is that other number.
We have x and 150-x, and their product must be as large as possible.
x%28150-x%29=-x%5E2+%2B+150x
Graph it, or remember that it will be a parabola opening down.
Thus, when its derivative equals 0 -2x%2B150=0 the function has its maximum.
Subtract 150 from both sides.
-2x+=+-150
Divide both sides by -2
x-75
The product of the numbers x%2A%28150-x%29 has its maximum value when x=75. And when x=75 then 150-x = 150-75 = 75.
The two numbers are 75.
You could also solve this by looking at a much smaller number, like 6.
What two real numbers whose sum is 6 have the maximum product?
Compare 3 and 3 with 1 and 5 with 4 and 2 with 6 and 0. The largest product is 3*3.
Look at 5. The largest product comes from 2.5 * 2.5
For 8 the largest product comes from 4*4.
By observation you can see that when the sum is a positive number, then the largest product comes from the number divided by 2.
150/2=75.
Answer:
your answer is -15 as when we multiply two negative numbers in result we get a possitive no.
-10 into -15= -150