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muminat
4 years ago
15

6. Find the inverse of the function f(x)= 2x - 4 and show explain each step used to find the inverse.

Mathematics
2 answers:
guapka [62]4 years ago
3 0

Answer: y=f(x)=2x-4

y=2x-4

y+4=2x

(y+4)/2=x

Inverse of function f(x) is function f-1(x)=(x+4)/2

Step-by-step explanation:

nikitadnepr [17]4 years ago
3 0

Answer:

f^-1(x)= x/2 + 1/2

Step-by-step explanation:

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Mr. Weiss is ordering parts for his wheelchair on the Internet. The website is offering 15% off orders over $250.
aleksandrvk [35]

Answer:

$230.65

Step-by-step explanation:

$179 marked down by 35 % = $116.35

computer mount= $99

cell holder= $56

total= $271.35

marked down by 15% = $230.65 (230.6475)

6 0
3 years ago
If a lineman can install 12 insulators in 183/4 hours, how many insulators should he be able to install in 281/8 hours?
katrin2010 [14]

Answer: 9

Step-by-step explanation:

12 insulators = 183/4 hours

x = 281/8

x × 183/4 = 12 ×281/ 8

183x/4 = 6 × 281/4

183x / 4 = 1686 / 4

4 cancel out 4

183x = 1686

Divide bothside by 183

x = 1686/183

x= 9.21311

x = 9 approximately.

3 0
3 years ago
Can I get help answering this question? It's a derivatives question, further info in the attachment.
Nadusha1986 [10]
\bf f(x)=|3+9x|\implies f(x)=\sqrt{(3+9x)^2}\implies f(x)=[(3+9x)^2]^{\frac{1}{2}}
\\\\\\
\cfrac{dy}{dx}=\stackrel{chain~rule}{\cfrac{1}{2}[(3+9x)^2]^{-\frac{1}{2}}\cdot 2(3+9x)\cdot 9}\implies \cfrac{dy}{dx}=\cfrac{9(3+9x)}{[(3+9x)^2]^{\frac{1}{2}}}
\\\\\\
\cfrac{dy}{dx}=\cfrac{27+81x}{|3+9x|}\\\\
-------------------------------

\bf \textit{left-hand derivative at }x=-\frac{3}{9}\implies \cfrac{27+81x}{-(3+9x)}
\\\\\\
\cfrac{27+81\left( -\frac{3}{9} \right)}{-3-9\left( -\frac{3}{9} \right)}\implies \cfrac{27-27}{-3+3}\implies \stackrel{unde fined}{\cfrac{0}{0}}\\\\
-------------------------------\\\\
\textit{right-hand derivative at }x=-\frac{3}{9}\implies \cfrac{27+81x}{+(3+9x)}
\\\\\\
\cfrac{27+81\left( -\frac{3}{9} \right)}{3+9\left( -\frac{3}{9} \right)}\implies \cfrac{27-27}{3-3}\implies \stackrel{unde fined}{\cfrac{0}{0}}
8 0
3 years ago
Which operation between two polynomials will not always result in a polynomial?
Assoli18 [71]
In order to build a polynomial we need one or more terms. A term is a number, variable (denoted by a letter) or any combination of numbers and variables held together by multiplication. The following are examples of terms:

5, 3x, -5ab c^{2},  \frac{2x^{3}y }{5},  x^{6}

Now it might look like one of those involves division but it can be thought of as multiplication by (2/5). When we do this the exponents must be positive.

Polynomials are expressions made up of terms held together by addition and subtraction. Again, the exponents must be positive. Since polynomials are made up of the sum or difference of terms, adding or subtracting polynomials just leads to more polynomials. Here are some examples of Polynomials:

4xy-3 x^{2} +7,  \frac{2x}{5}-3abc-5j

Now let’s consider what happens if we multiply polynomials. As an example we use: (x+5)(2x-y)=2 x^{2} +10x-xy-5y

What you might notice is that multiplication will lead us to multiply terms (but multiplying terms gives us more term,as) and also to add or subtract terms but that just gives more polynomials. Therefore multiplication leads to more polynomials.

Finally, we consider division. Here a simple example will do the trick: 2 is a term and x is a term. Let us divide 2 by x. We get: \frac{\2}{x}=2 x^{-1}  which is not a polynomial because we have a negative exponent. 

Thus, the answer to your question is division. Division of polynomials will not always result in a polynomial.

_______END OF ANSWER___________
 is. 
5 0
3 years ago
Suppose Grant is going to build a playlist that contains 6 songs. In how many ways can Grant arrange the 6 songs on the playlist
Ksivusya [100]

Grant can arrange the songs 720 different ways

3 0
4 years ago
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