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Vinvika [58]
3 years ago
14

Find and simplify the following for ​f(x)=x(22-x), assuming h ≠ 0 in (C),a. f(x + h)b. f(x+h)- f(x)c. f(x+ h)- f(x)/h

Mathematics
1 answer:
Gre4nikov [31]3 years ago
4 0

Answer:

The answer is below

Step-by-step explanation:

Given that f(x)=x(22-x)

a) f(x)=x(22-x)

f(x + h) = (x + h)(22 - (x + h))

f(x + h) = (x + h)(22 - x - h)

f(x + h) = (22x - x² - xh + 22h - xh - h²)

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

b) f(x)=x(22-x) = 22x - x²

f(x + h) = (-x² + 22x - h²+ 22h - 2xh)

f(x+h)- f(x) = (-x² + 22x - h²+ 22h - 2xh) - (22x - x²)

f(x+h)- f(x) = -x² + 22x - h²+ 22h - 2xh - 22x + x²

f(x+h)- f(x) = -x² + x² + 22x - 22x  - h²+ 22h - 2xh

f(x+h)- f(x) = - h²+ 22h - 2xh

c) f(x+h)- f(x) = - h²+ 22h - 2xh

\frac{f(x+h)-f(x)}{h}=\frac{- h^2+ 22h - 2xh}{h}\\  \\\frac{f(x+h)-f(x)}{h}=\frac{- h^2}{h}+\frac{22h}{h}-\frac{2xh}{h}\\\\\frac{f(x+h)-f(x)}{h}=-h+22-2x

\lim_{h \to 0} \frac{f(x+h)-f(x)}{h}= \lim_{h \to 0} (-h+22-2x )=22-2x

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Which of the following is not a tax collected by the federal government?
rodikova [14]

The tax that is not collected by the federal government is \boxed{{\text{excise tax}}}. Option (b) is correct.

Further explanation:

Given:

The options are as follows.

A. Sales tax

B. Excise tax

C. Income tax

D. Payroll tax

Explanation:

The sales tax is a tax that is imposed on the products sold. The sale tax is collected by the federal government.

The excise tax is the tax that is imposed on purchasing the goods .The excise tax is not collected by the federal government.

The tax that is imposed on the salaries of an individual or company is known as the income tax.

The income tax is collected by the federal government.

The tax that is imposed on the employer as the percentage of salaries of employees is known as the payroll tax. The payroll tax is collected by the federal government.

Option (a) is not correct.

Option (b) is correct.

Option (c) is not correct.

Option (d) is not correct.

Hence, the tax that is not collected by the federal government is \boxed{{\text{excise tax}}}. Option (b) is correct.

Learn more:

1. Learn more about inverse of the functionhttps://brainly.com/question/1632445.

2. Learn more about equation of circle brainly.com/question/1506955.

3. Learn more about range and domain of the function brainly.com/question/3412497

Answer details:

Grade: High School

Subject: Mathematics

Chapter: Investment

Keywords: Federal government, tax, sales tax, excise tax, income tax, payroll tax, state government, revenue, local government.

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