Question

BRAINLIEST ASAPPPPPP!!!!

Answer 1

For the first image (with the purple shading) the line is solid which means it is “greater than or equal” to or “less than or equal to”. The slope is 5 and the y-intercept is -2 so the equation would be y=5x-2. Ok so time for the inequalities. The shading is below the line which would make it less than or equal to (< this symbol in case I said that wrong) so the inequality would be y< 5x-2. If we solve each answer choice so that the y is positive and isolated, then choice D (the last choice) would be the answer because you subtract 5x from both sides (-y> -5x+2) then divide by -1 which flips the sign making  y<5x-2. Hope this helped

Answer 2

a) Rewrite all the inequalities in the normal form (y= m.x+b) to betterv understand the question:

1) 5x + y ≤ 2 →→ y ≤ -5x +2

2) 5x + y ≥ 2→→ y ≥ -5x + 2

3) 5x - y ≤ 2→ - y ≤ - 5x +2 (multiply both  sides by "-" )→ y≥ 5x-2

4) 5x - y ≥2→ - y ≥ -5x +2 (multiply both  sides by "-" )→ y≤ 5x-2

The graph shows tha it's a linear positive function, then a>0 ( a=5)
Then it's either y≥ 5x-2 or y≤ 5x-2. 
If you replace y by 0 and x by 0 you will find 
0≥-2 and 0≤ -2 , obviously the 1st one satisfies since 0≥ -2 and the equation is y≥ 5x - 2 or 5x - y ≤ 2 (3rd answer)

b)  f(x) = 2(3)ˣ   and g(x) = 3ˣ +9
Find the value of x when:
f(x) = g(x) OR
2(3)ˣ = 3ˣ +9;
The only solution is when x = 2:

2(3)² = 3² + 9
2(9) = (9) + 9
18 = 18