Answer:
1) Solutions are x = 3 and x = 5/3
2) Solution are x ≤ 13/2 and x ≤ -3/2
Step-by-step explanation:
1) Given absolute inequality,
|3x-7| = 2
⇒ 3x - 7 = ± 2
⇒ 3x = 7 ± 2



2) l 2x-5 l ≤ 8
⇒ 2x-5 ≤ ±8
⇒ 2x ≤ 5 ± 8



B - 4 >_ 0
b >_ 4
-3b + 5 > 8
-3b > 3
b> -1
Answer:
<h2>x-intercept: x = 12 → (12, 0)</h2>
Step-by-step explanation:
We must find the equation of a line.
The point-slope form of an equation of a line:

m - slope
The formula of a slope:

We have the points from the table (22, 36) and (27, 54). Substitute:

The x-intercept is for y = 0. Susbtitute:
<em> multiply both sides by 5</em>
<em>divide both sides by 18</em>
<em>add 22 to both sides</em>

I assume you want to mathematically represent the above
Answer and explanation:
If Diego collected x kg of recycling and Lin collected 2/5 more than what Diego collected, then it would be represented mathematically thus:
Diego = x
Lin = x +2/5 of x= x+2/5x
if Lin biked x km and Diego biked 3/10km less than Lin, then we would represent this thus:
Lin=x
Diego= x-3/10 of x= x-3/10x
If Diego reads for x minutes and Lin reads 4/7 of what Diego read, then mathematically we represent this thus:
Diego=x
Lin =4/7 of x = 4/7x
15 miles/hour x 2/3 hour = 30/3 = 10 miles