Answer:
B. Line A intersects line B at the point (-2,2)
Step-by-step explanation:
y = mx + b
m₁ = 2
-2 = 2 x (-4) + b₁
b₁ = 6
y₁ = 2x₁ + 6 : line₁
point (-2 , 2) : 2 x (-2) + 6 = 2
(-2 , 2) is on line₁
m₂ = (-4 -4 ) / (10 - (-6)) = -8 / 16 = - 1/2
line₂ : (-6 , 4) (10 , -4)
4 = - 1/2 x (-6) + b₂
b₂ = 1
y₂ = -1/2 x + 1 : line₂
point (-2 , 2) -1/2 x (-2) + 1 = 2
prove (-2 , 2) is on line₂ too.
Jack invested 57
Sam invested 38
57 over 38 minus 1,00
7) 5x + 16.50 = 59
-16.50 -16.50 (Subtract 16.50 from both sides)
5x = 42.50
/5 /5 (Divide by 5 on both sides)
x = $8.50
8) 4 + 3x = 67
-4 -4
3x = 63
/3 /3
x = 21 stuffed animals
9) 20 + 3x = -4
-20 -20
3x = -24
/3 /3
x = -8
10) 18.9 - 2x = 9.9
-18.9 -18.9
-2x = -9
/-2 /-2
x = 4.5
(I'm not completely sure on number 10, but I hope this helps!)
F(x) = x + 5
x = f(x) - 5
Range = {7, 9}, then range = {7 - 5, 9 - 5} = {2, 4}