Answer:
z (max) = 34500 $
x₁ = 2
x₂ = 3
Step-by-step explanation:
Hilltop College
3 hours per week preparing lessons and grading papers
Serra College
4 hours per week preparing lessons and grading papers
Total hours to spend per week preparing lessons 18
Let´s call x₁ numbers of class at Hilltop College
and x₂ numbers of class at Serra College then:
Objective function
z = 6000*x₁ + 7500*x₂
Constraints:
1.- x₁ + x₂ ≤ 5 the total number of class
2.- 3*x₁ + 4*x₂ ≤ 18
3. General constraints x₁ ≥ 0 x₂ ≥ 0 integers
After 6 iteration optimal solution is: From on-line solver
z (max) = 34500 $
x₁ = 2
x₂ = 3
Start by setting up your two sets of parenthses.
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Inside, we have the terms that compose each binomial.
Since x² breaks down into x · x, we use an x in each binomial.
The second term is the factors of -12 that add to the coefficient
of the middle term but what is the coefficient of the middle term?
If there is nothing written there, it's understood to be 1.
So factors of -12 that add to -1 are 4 and -4.
So we have (x + 4)(x - 3) which is our answer.
Answer:
Value is x=8 and y=4
Step-by-step explanation:
Given : A right triangle 'A' hypotenuse length of x+4 and a leg of x,
and right triangle 'B' hypotenuse length of 3y and a leg length of y+4
To find : For what values of x and y are the triangles congruent by HL?
Solution :
Triangle A,
Hypotenuse: x+4
Leg: x
Triangle B,
Hypotenuse: 3y
Leg: y+4
Since the triangle A and B are congruent so, the sides of triangles are equal.
(Hypotenuse are equal) ..........[1]
and (Legs are equal) ..........[2]
Solving the equation of system,
Put the value of x from [2] in [1],
Substitute y in [2],
Therefore, The value of x=8 and y=4
Verifying for the values of x and y:
Triangle A,
Hypotenuse: x+4=8+4=12
Leg: x=8
Triangle B,
Hypotenuse: 3y=3(4)=12
Leg: y+4=4+4=8
Both hypotenuses and both legs are equal hence they are congruent.
Answer:
5
Step-by-step explanation:
16 1/4 divided 3 1/4
Answer:
9.8
Step-by-step explanation:
The law of sines tells us ...
g/sin(G) = e/sin(E)
Multiplying by sin(G) and filling in the given values, we have ...
g = e·sin(G)/sin(E) = 22·sin(26°)/sin(81°) ≈ 9.76438
Side G is about 9.8 in length.