Let "a" and "b" be some number where:
a - b = 24
We want to find where a^2 + b^2 is a minimum. Instead of just logically figuring out that the answer is where a=b=12, I'll just use derivatives.
So we can first substitute for "a" where a = b+24
So we have (b+24)^2 + b^2 = b^2 +48b +576 + b^2
And that equals 2b^2 +48b +576
Then we take the derivative and set it equal to zero:
4b +48 = 0
4(b+12) = 0
b + 12 = 0
b = -12
Thus "a" must equal 12.
So:
a = 12
b = -12
And the sum of those two numbers squared is (12)^2 + (-12)^2 = 144 + 144 = 288.
The smallest sum is 288.
Answer:
there are 30
Step-by-step explanation:
10 in each bag
I’m not positive but the answer might be 240.34
Answer:
The fraction 7/8 is really close to 1 , so Yvonne could estimate that she needs approximately 6 yards of fabric per dress. So, to make 5 dresses, she would need approximately 30 yards.
Step-by-step explanation:
I'm not entirely sure, but 7/8 is very close to a whole, so this is what I would assume.
160 flowers
The ratio is 3:5 of white to yellow.
They need 60 white which means they times by 20. So 20x5=100 they will need 100 yellow. In total they need 160
