Answer:
<h2>A.) 3 6/8</h2>
Step-by-step explanation:
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Answer: (f-g)(2)=14
Step-by-step explanation:
(f – g) (-2) means the same as subtracting f(2) and g(2). Since we are given f(x) and g(x), we can use them to solve. There are two ways to solve. One is to find f(2) and g(2), and then subtract them. Another way is to do (f-g)(x), then plug in x=2. I will show both methods.
Method 1
f(2)=3(2)²+1 [exponent]
f(2)=3(4)+1 [multiply]
f(2)=12+1 [add]
f(2)=13
g(2)=1-(2) [subtract]
g(2)=-1
(f-g)(2)=13-(-1) [subtract f(2) and g(2)]
(f-g)(2)=14
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Method 2
(f-g)(x)=3x²+1-(1-x) [distribute -1]
(f-g)(x)=3x²+1-1+x [combine like terms]
(f-g)(x)=3x²+x
(f-g)(2)=3(2)²+2 [plug in x=2, exponent]
(f-g)(2)=3(4)+2 [multiply]
(f-g)(2)=12+2 [add]
(f-g)(2)=14
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Now, we know that (f-g)(2)=14. We confirmed this with both methods.
Answer:
<h3>5</h3>
Step-by-step explanation:
Given the expression
2a^3−10ab^2+3a^3−ab^2−7
We are to find the coefficient of a^3
First is to collect the like terms;
2a^3−10ab^2+3a^3−ab^2−7
= 2a^3+3a^3−10ab^2−ab^2−7
= 5a^3-11ab^2-7
From the resulting equation, you can see that the coefficient of the term having a^3 is 5
