Answer:
once
Step-by-step explanation:
Use distributive property: a(b + c) = ab + ac.
2(w + 7) + 6(3w - 1) = (2)(w) + (2)(7) + (6)(3w) + (6)(-1)
= 2w + 14 + 18w - 6
<em>combine like terms</em>
= (2w + 18w) + (14 - 6) = 20w + 8
<h3>Answer: 2(w + 7) + 6(3w - 1) = 20w + 8</h3>
Answer:
Step-by-step explanation:
You haven't given us a diagram of your figure. Assume it is like the one in the image below.
The formula for the area of a parallelogram is
A = bh
1. Determine the height of the parallelogram
Notice that the angle is 45°. That makes the triangle an isosceles right triangle, so we can use Pythagoras' Theorem.
h² + h² = (6√2)²
2h² = 36 × 2 = 72
h² = 36
h = 6
2. Calculate the area of the parallelogram
9514 1404 393
Answer:
g(f(x)) = x . . . so the functions are inverses
Step-by-step explanation:
Two functions f and g are inverses of each other if ...
g(f(x)) = x or f(g(x)) = x
We are asked to evaluate g(f(x)). That will be x if the functions are inverses.
g(f(x)) = g((x+1)/2) = 2((x +1)/2) -1 = (x +1) -1
g(f(x)) = x . . . . the functions are inverses