Answer:
Step-by-step explanation:
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424
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424
The answer is 10^4
hope it help u
Answer:
y = 3x/2 + 3
Step-by-step explanation:
First let's solve for y in the given equation
Subtract 3x from both sides
3x - 2y = -10
- 3x - 3x
-2y = -3x - 10
Divde both sides by -2
-2y/-2 = (-3x - 10)/-2
y = 3x/2 + 5
The slop of the parallel equation will have to be 3/2
y = 3x/2 + b
Plug in the given coordinates
4 = 3(2)/2 + b
4 = 1 + b
Subtract 1 from both sides
4 = 1 + b
- 1. - 1
b = 3
y = 3x/2 + 3
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:
Step-by-step explanation:
Given
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← factor denominator
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We require the fractions to have a common denominator.
Multiply numerator/denominator of first fraction by x
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Subtract terms on numerator leaving the common denominator
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