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MA_775_DIABLO [31]
2 years ago
11

For the function f given by f(x)=2x-3, find and simplify the difference quotient f (x + h) − f (x) h​

Mathematics
1 answer:
Ber [7]2 years ago
7 0

\text{Given that,}~ f(x) = 2x-3\\\\\text{Now,}\\\\~~\dfrac{f(x+h)-f(x)}{h}\\\\\\=\dfrac{2(x+h)  -3  - (2x-3)}{h}\\\\\\=\dfrac{2x+2h-3 -2x +3 }{h}\\\\\\=\dfrac{2h}{h}\\\\\\=2

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If you simplify 4(3x + 8) - 3 . What will your answer be ?
scoundrel [369]
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Final Answer: <span>12x+29
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3 years ago
Solving for an Unknown Using the Distributive Property
ArbitrLikvidat [17]

<em><u>Complete Question:</u></em>

The equation a= 180(n-2)/n represents the angle measures, a, in a regular n-sided polygon. When the equation is solved for n, n is equal to a fraction with a denominator of a – 180. What is the numerator of the fraction?

<em><u>Answer:</u></em>

The numerator of fraction is -360

<em><u>Solution:</u></em>

Given that,

<em><u>The equation represents the angle measures, a, in a regular n-sided polygon is:</u></em>

a = \frac{180(n - 2)}{n}

We have to solve the equation for "n"

Rearrange the equation

a \times n = 180(n - 2)\\\\a \times n = 180n - 360\\\\an - 180 n = -360\\\\Take\ n\ as\ common\ factor\\\\n(a-180) = -360\\\\n = \frac{-360}{a - 180}

Thus the numerator of the fraction is -360

4 0
3 years ago
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