I hope this helps you
8n=7n+1/2
2.8n=7n+1
16n-7n =1
9n=1
n=1/9
Answer:
1.) It has one solution (–5, 5).
if you click on the photo it will show you how to get the answer. I hope this helps you.
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:
90 minutes
Step-by-step explanation:
Given that On day one, she runs for 20 minutes. On day two, she runs for 30 minutes. On day three, she runs for 40 minutes, this pattern may be presented as an arithmetic sequence shown below
20, 30, 40 ...
For an arithmetic sequence whose first term is a, and a common difference d, the nth term of the sequence may be given as
Tn = a + (n - 1)d
Hence the first term is 20, the common difference d is 10
On the 8th day, the 8th term
T8 = 20 + (8 - 1) 10
= 20 + 70
= 90 minutes
