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.
To solve this problem, first we have to figure out how many total rolls Hanna buys.
3 packs*36 rolls in each pack = 108 total rolls
2 packs*24 rolls in each pack = 48 total rolls
108 rolls + 48 rolls = 156 rolls.
Next, it says that Hanna uses 8 rolls of film. To model this in our expression, we need to subtract 8 rolls from our total amount.
156-8 = 146 rolls
Hanna has 146 rolls left.
Answer:
K = 2/1
Step-by-step explanation:
Constant of proportionality can be found using any two given pair of values.
Constant of proportionality = y/x
Therefore, using (1, 2) , we have
Constant of proportionality = y/x = 2/1 = 2
Or it can be written as: k = ²/1 = 2
