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Vedmedyk [2.9K]
2 years ago
5

If f(x)=4x-2 and g(x)=-8x+7, find h(x)=f(x) - g(x)

Mathematics
1 answer:
user100 [1]2 years ago
3 0

Answer:

h(x)=12x-9

Step-by-step explanation:

We are given the two functions:

f(x)=4x-2\text{ and } g(x)=-8x+7

And we want to find:

h(x)=f(x)-g(x)

So, by substitution:

h(x)=(4x-2)-(-8x+7)

Simplify. Distribute:

h(x)=(4x-2)+(8x-7)

Rearrange:

h(x)=(4x+8x)+(-2-7)

Combine like terms. Hence:

h(x)=12x-9

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(A)

\dfrac{\partial f}{\partial x}=-16x+2y

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(B)

\dfrac{\partial f}{\partial x}=-8y

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(C)

\dfrac{\partial f}{\partial x}=-8\sin y

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3 years ago
Use substitution to solve the system.<br><br> x=3y-8<br> 3x-4y=-9
nadya68 [22]
<span>x=3y-8
3x-4y=-9

We are told that:
</span>x=3y-8

So replace x in 3x-4y=-9 with x=3y-8 like so: 
3(3y-8)-4y=-9 

Start by distributing the 3: 
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Now you have: 
9y+-24+-4y=-9&#10;
Combine like terms, now you have: 
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add 24 to both sides 
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Divide both sides by 5 to get: 
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Now that you know y=3 plug it into: 
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x=3(3)-8
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