Answer:
8x+8
Step-by-step explanation:
(f.g)(x)= (f)(g)
(f.g)(x)=(4.2)(x+1)
(f.g)(x)=(8)(x+1)
(f.g)(x) =8x+8
Answer:
slope = 
Step-by-step explanation:
Calculate the slope m using the slope formula
m = 
with (x₁, y₁ ) = (- 8, 0) and (x₂, y₂ ) = (4, 6) ← 2 points on the line
m = 
= 
=
Answer:
w = 7 cm
Step-by-step explanation:
Volume = 252 cm³
Height, h = 3cm
Let width = w
Length, l = w + 5
Volume of rectangular prism, V = l * w * h
252 = (w + 5) * w * 3
252 = (w + 5) * 3w
252 = 3w² + 15w
3w² + 15w - 252 = 0
w² + 5w - 84 = 0
w² + 12w - 7w - 84 = 0
w(w + 12) - 7(w + 12) = 0
(w + 12) = 0 or (w - 7) = 0
w = - 12 or w = 7
w cannot be negative
Hence, w = 7 cm
Answer:
315
Step-by-step explanation:
Using a scale factor of 3 basically means just multiply the length and the width by 3.
So instead of 5 * 7, we are doing 15 * 21.
15 * 21 = 315
