<span>-3(-w - u) - (-5 + w)
=-3(-w-u)+-1(-5+w)
=-3(-w-u)+(-1)(-5)+-1w
=-3(-w-u)+5+-w
Distribute
=(-3)(-w)+(-3)(-u)+5+-w
=3w+3u+5+-w
Combine like terms
=3w+3u+5+-w
=(3u)+(3w+-w)+(5)
=3u+2w+5
:)
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Answer:
(x-3)(x-9)
Step-by-step explanation:
first thing you need to do is move the -6 over. so we're going to add 6 to both sides (we add because it's negative 6 and we need 0 on the right side)
so you have: x^2-12x+27
now we need to come up with two numbers that add to -12 and multiply to 27.
the factors of 27 are 9 & 3 and 27 & 1. only 9 & 3 add to 12 so we are going to use those.
since the 12 is negative however, 9 and 3 should both be negative.
therefore we get: (x-3)(x-9)
*it doesn't matter which order you put them in!
(f o g)(x) is the composition of function where we substitute one function into other function.
So, (f o g)(x) = f( g(x) )
The given functions are f(x) = -8x+6 and g(x) = x³.
So,we need to plug in x³ for g(x) in f(x). Therefore,
(f o g)(x) = f( g(x) )
= f (x³) Replace g(x) with x³.
= -8x³ + 6 Replace x³ with x in f(x).
So, (f o g)(x) = -8x³ + 6.
Answer:
f(x) = 2x² + 3
g(x) = x² - 7
( f - g)(x) = 2x² - x² +3 --7
= x² + 3 + 10
= x² + 10
Hope this helps.