The distance formula is d = (x^2 + y^2)^(1/2) This is the same equation used for both. In other words, the equation of a circle gives the radius of the circle in terms of x and y, while the distance formula gives the distance from the origin to the final point in terms of x a
0.6 as a fraction in simplest form is 3/5
When we add rational numbers we simply add or subtract the fraction or part of a whole so in this particular equation we would subtract 1 from 4 because adding a negative means the same thing. We then subtract 2/3 from 3 and get 2 1/3 Comment below if more details are required
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
Answer:
c=5-b/3ab
Step-by-step explanation:
What you do is you have to get c by itself.
First you will subtract the b on both sides to get 3abc=5-b.
You will then divide 3ab to get c by itself on both sides.
c=5-b/3ab is your answer.