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:
D. 1.3
Step-by-step explanation:
5(1.3) = 6.5
Since the value of r is .2 less than b, b would be 1.5
2(1.5) = 3
6.5+3=9.5
Answer:
1 cm to 7.5 m
Step-by-step explanation:
A drawing scale is a ratio of two numbers.
The given scale, 4 cm to 30 m, can be written as a ratio in the form of a fraction,
(4 cm)/(30 m)
Since it can be written as a fraction, it can also be reduced like a fraction.
The problem wants the number of cm to be 1 cm. We have 4 cm.
Divide the numerator and denominator by 4.
(1 cm)/(7.5 m)
Now write it in the format the problem asks.
1 cm to 7.5 m
Answer:
BC = 3(EF)
Step-by-step explanation:
The question stated that AC is 3 times the length of DF.
20 and -1: they add into 19 and since a negative times a positive is a negative they multiply to -20
