Answer:
For the given functions f(x) and g(x) 
Step-by-step explanation:
Here, the given function are:
Now, simplifying for (f-g)(x) = f(x) - g(x):
Doing operation on LIKE TERMS, we get
f(x) - g(x) = 
Hence, for the given functions f(x) and g(x)
Answer:
Width (length of shorter side) = 3.5 cm.
Step-by-step explanation:
L = 8.5 cm
perimeter, P = 24 cm
2(L+W) = 24
substitute L = 8.5
2(8.5+W) = 24
8.5 + W = 24/2 = 12
W = 12 - 8.5 = 3.5 cm
Answer:
Expand it.
(1+2i)^3 is equal to (1+2i)(1+2i)(1+2i).
Multiply everything out (being sure to multiply <em>every</em> term. (1+2i) * (1+2i) = 1+2i+2i+4i^2.
i is the square root of negative one, so i^2 is just -1. 1+2i+2i-4 is what you get from the first two, so now simplify that:
1-4 + 2i+2i = (-3+4i) and now multiply that by (1+2i):
(-3+4i) * (1+2i) = -3 - 6i +4i +8i^2.
Simplify again, and the answer is: -11-2i
Step-by-step explanation:
I hope this helps - really my only tip is don't spend time thinking about what i is, that just hurts your brain. Just remember that i^2 is equal to negative one, and treat it like regular multiplication and you will be fine.
1 x 9, 3 x 3, 9 x 1
1 and 9 are a factor pair of 9 since 1 x 9= 9
3 and 3 are a factor pair of 9 since 3 x 3= 9
9 and 1 are a factor pair of 9 since 9 x 1= 9
