Answer:

Step-by-step explanation:
The slope-intercept form of an equation of a line:

<em>m</em><em> - slope</em>
<em>b</em><em> - y-intercept</em>
The formula of a slope:

We have two points (2, -2) and (4, -1).
Substitute:

Put the value of a slope and the coordinates of the point (2, -2) to the equation of a line:

<em>subtract 1 from both sides</em>

Finally:

Answer:
x=1
Step-by-step explanation:
We distribute the negative 5 to x minus three to get 8x-5x+15=18. Then, we cancel out the 15 by subtracting it from both sides. This leaves us with 8x-5x=3. When we subtract, we get 3x=3, and when we divide both sides by 3, we get x=1. Hope this helps :)
Answer:
f(5) = 17
Step-by-step explanation:
You just plug in 5 for x:
f(5) = 3(5) + 2
f(5) = 15 +2
f(5) = 17
Hope this helps!
Answer:
Step-by-step explanation:
Given
The sum of the two positive integer a and b is at least 30, this means the sum of the two positive integer is 30 or greater than 30, so we write the inequalities as below.
The difference of the two integers is at least 10, if b is the greater integer then we subtract integer a from integer b, so we write the inequality as below.
Therefore, the following system of inequalities could represent the values of two positive integers a and b.