Answer:
6- Part A: 
Part B: 
Solution of the system: 
Step-by-step explanation:
<u>Part A:</u>
In words, the equation is formed like this:
Total kg of Arabica + Total kg of Robusta = Total kg of coffee
Now, the total of each yield is calculated by the product of kg/hectare and number of hectares. Thus, the equation is:
<u>Part B:</u>
In words:
Arabica's worth + Robusta's worth = plantation worth
Each yield's worth is given by the product of the price per kg and the corresponding production. So, the equation is:
The first step is to change the mixed number into an improper fraction.
1 7/10 = 17/10
(17/10) / (3/5) =
(17/10) * (5/3) = (change the division to a multiplication by the reciprocal.
17/6 = 2 5/6
I don’t see any images but any angle measured less than 90 degrees is an acute angle
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.
