<span>f(x)=âš(4x+6)
g(x)=âš(4x-6)
This is what we are given to work with, originally. Now, for the next part, we are asked to add the functions f(x) and g(x) together - and this is just what you do! You add the functions together, and then combine like terms.
(f+g)(x)=âš(4x+6)+âš(4x-6) --> âš(8x) + 6 - 6 :: and the 6's cancel each other, while the root 4x's add... and you have...
(f+g)(x)=âš(8x)
Thank you very much.</span>
Answer:
2 pieces
Step-by-step explanation:
Given
Required
Calculate the number of pieces
To do this, we have to divide the length of the wood by the length of each piece.
Represent this with x
Convert mixed numbers to improper fraction
Change division to multiplication
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Answer: the 3
Step-by-step explanation:
It goes ones, tens, hundreds, thousands, etc. You round the 3 (down, less than 5) because that is in the hundreds place.
Answer:
g(0) > f(0)
Step-by-step explanation:
Evaluate the functions at the point of interest: x=0.
g(0) = 20·1.5^0 = 20·1 = 20
f(0) = -40 . . . . from the table
Since 20 > -40, we conclude ...
g(0) > f(0)
Answer:
38
Step-by-step explanation:
AB is parallel to CD. So, <ABC = <BCD.
Now, <BCD = <ABC = 180 - 111 - 31 = 38
