Answer:
12
Step-by-step explanation:
Length of one of the boards = 8 feet
Converting to inches

One cut is 16 inches
So, we divide the length of the board by 16

So, one board is cut into 6 pieces.
The other board is also 8 feet long.
So, the number of pieces the other board is cut into is also 6.
Hence, a total of
pieces of each 16 inches long can be cut from the two boards.
Answer:
x² + 2x - 5
Step-by-step explanation:
(f + g)(x) = f(x) + g(x)
f(x) + g(x)
= 2x + 3 + x² - 8 ← collect like terms
= x² + 2x - 5
It would be 8 because 8+4=12
Answer:
y = -x + 1
Step-by-step explanation:
We're putting it into the form y=mx+b where m is the slope, and b is the y-intercept.
When two lines are parallel, they have the same slope, so the slope is going to be -1.
New equation: y = -x + b.
Now, you know that (4, -3) is a solution so you can plug in x = 4 and y = -3, then see what value of b make the equation true.
-3 = -4 + b
add 4 to both sides
1 = b
This means that the equation is y = -x + 1