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hjlf
3 years ago
5

Write the equation of a rational function with a slant asymptote at y=2x+1 and vertical asymptote at x=0

Mathematics
1 answer:
Kazeer [188]3 years ago
8 0

Answer:

Please give me brainliest if i tell you the answer

Step-by-step explanation:

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How to solve derivative of (sin3x)/x using first principle ​
Leona [35]

\dfrac{d}{dx}(\dfrac{\sin(3x)}{x})

First we must apply the Quotient rule that states,

(\dfrac{f}{g})'=\dfrac{f'g-g'f}{g^2}

This means that our derivative becomes,

\dfrac{\dfrac{d}{dx}(\sin(3x))x-\dfrac{d}{dx}(x)\sin(3x)}{x^2}

Now we need to calculate \dfrac{d}{dx}(\sin(3x)) and \dfrac{d}{dx}(x)

\dfrac{d}{dx}(\sin(3x))=\cos(3x)\cdot3

\dfrac{d}{dx}(x)=1

From here the new equation looks like,

\dfrac{3x\cos(3x)-\sin(3x)}{x^2}

And that is the final result.

Hope this helps.

r3t40

7 0
3 years ago
Read 2 more answers
The national mean sales price for a new one-family home is $181,900. A sample of 40 one-family homes in the south showed a sampl
SIZIF [17.4K]

Answer:

a

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

b

t = -2.92

c

p-value  =  0.0016948

d

There no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

Step-by-step explanation:

From the question we are told that

   The  population mean is  \mu  =  \$ 181, 900

    The  sample size is  n =  40

    The  sample  mean is  \=  x  =  \$ 166,400

      The  sample  standard deviation is s= \$ 33, 500

The  null hypothesis is  \mu  =  \$181,900

The alternative hypothesis is  \mu <  \$ 181.900

 

Generally the test statistics is mathematically represented as

      t =  \frac{ \= x  -  \mu }{ \frac{s}{\sqrt{n} } }

=>    t =  \frac{  166400  - 181900 }{ \frac{33500}{\sqrt{40} } }

=>    t = -2.92

Generally the p-value is obtain from the z-table  the value is  

      p-value  =  P(Z < t ) = P(Z  <  -2.93) = 0.0016948

=>    p-value  =  0.0016948

From the calculation we see that  

     p-value  >  \alpha  hence we fail to reject the null hypothesis

Thus there no sufficient evidence to support the conclusion that the population mean sales prices for new one-family homes in the South is less expensive than the national mean of $181,900

3 0
3 years ago
Write a letter to a friend in another town invite him or her to spend Christmas holidays with you​
Black_prince [1.1K]

Answer:

hey my friend please come over to spend the Christmas holidays with me and my family this year. If you are afraid of your dad it's ok I'll ask my mom to call him and ask him

7 0
3 years ago
a tour-bus operator sold $1,517 worth of tickets for a trip to Niagara Falls. Each tickets cost the same amount and could be pai
prisoha [69]

We will make use of the concept of prime factors for solving this question. The prime factors of 1517 are:

1517=37\times 41

So, as can be clearly seen the Niagara Fall tour operator can either sell 37 tickets for $41 each or 41 tickets for $37 each.

Now, we know that we cannot reach $37 using just three bills. Thus, the only option left to us is $41 which can be broken down into three bills of $20,$20 and $1. This satisfies our condition.

Thus the cost of a ticket was $41 and 37 such tickets were sold.

3 0
3 years ago
Write down the solution to the simultaneous equations.
julia-pushkina [17]

Answer:

x = 5/2; y = 7

Step-by-step explanation:

2x + y = 12

y = 2x + 2

Use substitution to replace y in the first equation with 2x + 2.

2x + 2x + 2 = 12

4x + 2 = 12

4x = 10

x = 10/4

x = 5/2

y = 2x + 2

y = 2(5/2) + 2 = 5 + 2

y = 7

4 0
2 years ago
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