Answer:
x = y = 22
Step-by-step explanation:
It would help to know your math course. Do you know any calculus? I'll assume not.
Equations
x + y = 44
Max = xy
Solution
y = 44 - x
Max = x (44 - x) Remove the brackets
Max = 44x - x^2 Use the distributive property to take out - 1 on the right.
Max = - (x^2 - 44x ) Complete the square inside the brackets.
Max = - (x^2 - 44x + (44/2)^2 ) + (44 / 2)^2 . You have to understand this step. What you have done is taken 1/2 the x term and squared it. You are trying to complete the square. You must compensate by adding that amount on the end of the equation. You add because of that minus sign outside the brackets. The number inside will be minus when the brackets are removed.
Max = -(x - 22)^2 + 484
The maximum occurs when x = 22. That's because - (x - 22) becomes 0.
If it is not zero it will be minus and that will subtract from 484
x + y = 44
xy = 484
When you solve this, you find that x = y = 22 If you need more detail, let me know.
Answer:
y = 13x
Step-by-step explanation:
gradient = 13
x = 0
y = 0
so 
= 13
cross multiply and you get
y = 13x
1) -149, -1; -148, -2; -147, -3
2) No, according to the commutative property of addition, it does not matter the order they are put in.
Hope this helps!
Answer:
August made the recipe using the correct ratios
Step-by-step explanation:
we know that
Sally uses 6 cups of lemonade for every 8 cups of fruit punch
so
using proportion
Find out the number of cups of fruit punch for 15 cups of lemonade
Let
x ----> the cups of fruit punch
The total cups of liquid is the sum of the cups of lemonade plus the cups of fruit punch
so
therefore
August made the recipe using the correct ratios
Answer:
A & E
Step-by-step explanation:
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