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3 years ago

3x-4y+6=0 solve for y

Mathematics

1 answer:

DiKsa [7]3 years ago

5 0

Answer: y=3/4x+3/2

Step-by-step explanation:

Let's solve for y.

3x−4y+6=0

Step 1: Add -3x to both sides.

3x−4y+6+−3x=0+−3x

−4y+6=−3x

Step 2: Add -6 to both sides.

−4y+6+−6=−3x+−6

−4y=−3x−6

Step 3: Divide both sides by -4.

−4y/−4= −3x−6/−4

y=3/4x+3/2

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d1i1m1o1n [39]

$\\(i)\\
\text{We know that the average rate of change of a function f(x) on inerval [a,b] is}\\
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f_{avg}=\frac{f(b)-f(a)}{b-a}\\
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\text{so using this the average rate of chang of g for x on interval }[3,7] \text{ is}\\
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g_{avg}=\frac{g(7)-g(3)}{7-3}\\
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$\\(ii)\\ \text{Average rate of chang of f for x on interval }[3,7] \text{ is}\\
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$\\(iii)\\
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f(g(4))=f(5)\\
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\text{since the value of f is 1 at x=5. so }\\
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f(g(4))=f(5)=1\\
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$\\(iv)\\
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g(f(3))=g(5)\\
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\text{since the value of g is 2 at x=5. so }\\
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g(f(3))=g(5)=2\\
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\text{hence we have, }g(f(3))=$ 2

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