Answer:
(a) y=8x-46
(b) 8x-y=46
Step-by-step explanation:
-y=-8x+4
y=8x+4
We know that 8 is the slope, and if we need a equation parallel to this line, then it will have the same slope.
Substitute (6,2)
2=8(6)+b
2=48+b
b=-46
The final answer is y=8x-46
Rate is a ratio of different units ( a quantity times a quantity), such as miles per hour.
Unit rate is a rate with a denominator of 1.
To find unit rate, divide the total cost by the quantity:
0.89 / 16 = 0.0556 per ounce.
Answer:
8
Step-by-step explanation:
it goes to 12-8 which equals 8
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: 8 hours
<u>Step-by-step explanation:</u>
Company 1: 3.25x + 26
Company 2: 3.50x + 24
3.50x + 24 = 3.25x + 26
0.25x +24 = 26 <em>subtracted 3.25x from both sides</em>
0.25x = 2 <em>subtracted 24 from both sides</em>
x = 8 <em>divided both sides by 0.25</em>
<u>Check:</u>
Company 1: 3.25x + 26 = 3.25(8) + 26 = $52
Company 2: 3.50x + 24 = 3.50(8) + 24 = $52
