There are two ways to do this
Method 1:
Find (f-g)(x) first
(f-g)(x) = f(x) - g(x)
(f-g)(x) = (5x^2+3) - (-2x+4)
(f-g)(x) = 5x^2+3+2x-4
(f-g)(x) = 5x^2+2x-1
Then plug in x = -3
(f-g)(-3) = 5(-3)^2+2(-3)-1
(f-g)(-3) = 5(9)+2(-3)-1
(f-g)(-3) = 45-6-1
(f-g)(-3) = 39-1
(f-g)(-3) = 38
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Method 2:
Find f(-3)
f(x) = 5x^2+3
f(-3) = 5(-3)^2+3
f(-3) = 5(9)+3
f(-3) = 45+3
f(-3) = 48
Find g(-3)
g(x) = -2x+4
g(-3) = -2(-3)+4
g(-3) = 6+4
g(-3) = 10
Subtract the two results
(f-g)(-3) = f(-3) - g(-3)
(f-g)(-3) = 48 - 10
(f-g)(-3) = 38
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Whichever method you pick, the answer is: 38
Answer:
1 - First question = 6.00 | Second Question = 0.06
2 - Didnt know
3 - 1360, from 1.36kg
4 - 0.3175
5 - 20.5
6 - 18
7 - 965606.4
Step-by-step explanation:
sorry I couldn't give you number 2, but here are the rest of the answers
Answer:
Domain: x ≥ 0
Range: All real numbers
Step-by-step explanation:
This is an absolute value function which creates a V for its graph. Since the absolute value is on y, the function is rotated to the right or sideways.
This means only the x values of 0 and greater are used in the function. Since the domain is the set of all x values then it is x≥0.
This also means that all y values are used on the y-axis. There is no restriction on the y values. Since the range is the set of all y values then it is all real numbers.
Answer:
Step-by-step explanation: For a problem like this, it’s best to use Pythagorean Theorem which is a^2+b^2=c^2 .
In this problem they gave us a and c already so we are trying to find b.
3^2+?=5^2
9+?=25
25-9=16
Find the square root of 16 which is 4
Answer: The distance between the ladder and the slide is 4 meters
