Answer:
Step-by-step explanation:
Written in: y=mx+b
Recall the fundamental rule of trig:
So, there exists an angle 
such that
if and only if
Working out the numbers, we get
So, there doesn't exist a number such that
y is a function of x, because for each input x there is only one output y. (It doesn't work backwards. x is not a function of y. not sure if you needed that but there it is!)
The equation would be
y=9.60x
where y is the amount Lin's sister earns and x is the amount of hours she works
i think this is correct pls mark brainliest
Answer:
x₁ = 20 x₂ = 0
z (min) = 20
Step-by-step explanation:
According to the problem statement:
Let´s call
Objective quiz = x₁ Recall quiz = x₂
First constraint
Quantity of quizzes at least 15
x₁ + x₂ ≥ 15
Second constraint:
Preparation time at least 300 minutes, then
15*x₁ + 30*x₂ ≥ 300
Third constraint
Average score at least 85 points
7*x₁ + 5*x₂ ≥ 85
General constraint x₁ ≥ 0 x₂ ≥ 0
Objective function z is:
z = 1* x₁ + 1,5*x₂ to minimize
The model:
z = x₁ + 1,5x₂ to minimize
Subject to
x₁ + x₂ ≥ 15
15*x₁ + 30*x₂ ≥ 300
7*x₁ + 5*x₂ ≥ 85
Using Atozmax (online solver) we find
x₁ = 20 x₂ = 0
z (min) = 20
