By algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
<h3>How to derive the inequality that represents the graph</h3>
Herein we have an statement and an image indicating an inequality of the form y ≤ f(x), where f(x) is the boundary of the inequality. First, we define the linear function behind the boundary:
(x, f(x)) = (1, 2)
2 = a + b
(x, f(x)) = (0, 5)
5 = b
The solution of the system of linear equations is (a, b) = (- 3, 5).
Then, by algebraic handling and the image attached aside, the inequality represented in the picture is y ≤ - 3 · x + 5. (Correct choice: B)
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The answer is D
If you solve it 25=25
So 3^2+4^2 does equal 5^2
Answer:
i believe it's 1/3
Step-by-step explanation:
Answer:
39;45
Step-by-step explanation:
students on the floor;total students
Answer:
The first 5 terms are 2, 5, 8, 11, 14.
Step-by-step explanation:
- You use the formula to find out each term.
- f(n)=3n-1 starting with n=1. If n=1 that is the 1st term, if n=2 that is the 2nd term, and so on. n means what number term it is.
- Now to find each term:
- n=1: f(1)= 3(1)-1= 3-1= 2 The 1st term is 2
- n=2: f(2)= 3(2)-1= 6-1= 5 The 2nd term is 5
- n=3: f(3)= 3(3)-1= 9-1=8 The 3rd term is 8
- n=4: f(4)= 4(3)-1= 12-1= 11 The 4th term is 11
- n=5: f(5)= 5(3)-1= 15-1= 14 The 5th term is 14
So the first 5 terms are 2,5,8,11,14