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3 years ago

Evaluate f(x)=3x3+8x2+5x-7 for remainder theorem

1 answer:

3 0

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

x-(3*x^3+8*x^2+5*x-7)=0

Step by step solution :Step 1 :Equation at the end of step 1 : x-((((3•(x3))+23x2)+5x)-7) = 0 Step 2 :Equation at the end of step 2 : x - (((3x3 + 23x2) + 5x) - 7) = 0 Step 3 :Step 4 :Pulling out like terms :

4.1 Pull out like factors :

 -3x3 - 8x2 - 4x + 7 =

 -1 • (3x3 + 8x2 + 4x - 7)

Checking for a perfect cube :

4.2 3x3 + 8x2 + 4x - 7 is not a perfect cube

Trying to factor by pulling out :

4.3 Factoring: 3x3 + 8x2 + 4x - 7

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: 3x3 - 7
Group 2: 8x2 + 4x

Pull out from each group separately :

Group 1: (3x3 - 7) • (1)
Group 2: (2x + 1) • (4x)

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The area of the sector of a circle with a radius of 8 centimeters is 125.6 square centimeters. The estimated value of is 3.14. ... First find the area of the entire circleA=3.14*82=200.96 cm2 this is the area for 360o or entire circle. The area of the sector represents anangle less then 360 and is simply the ratio of ...

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4 years ago

An automobile manufacturer would like to know what proportion of its customers are not satisfied with the service provided by th

monitta

Answer:

a) n =1623

b) $ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

Step-by-step explanation:

1) Notation and definitions

$n$ random sample taken

$\hat p=0.19$ estimated proportion of customers are not satisfied with the service provided by the local dealer

Confidence =0.96 or 96%

Me= 0.02 represent the margin of error

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The population proportion have the following distribution

$p \sim N(p,\sqrt{\frac{p(1-p)}{n}})$

Part a

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 96% of confidence, our significance level would be given by $\alpha=1-0.96=0.04$ and $\alpha/2 =0.02$ . And the critical value would be given by:

$z_{\alpha/2}=-2.0538, z_{1-\alpha/2}=2.0538$

The margin of error for the proportion interval is given by this formula:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$ (a)

And on this case we have that $ME =\pm 0.02$ and we are interested in order to find the value of n, if we solve n from equation (a) we got:

$n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}$ (b)

And replacing into equation (b) the values from part a we got:

$n=\frac{0.19(1-0.19)}{(\frac{0.02}{2.0538})^2}=1622.912$

And rounded up we have that n=1623

Part b

The margin of error is given by:

$ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}$

So then if w replace the value of n obtained from part a we got:

$ME=2.0538\sqrt{\frac{0.21 (1-0.21)}{1623}}=0.0208$

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3 years ago

Which relation is function of X

Nuetrik [128]

Which relation? I didn't see that you attached any images or the choices you have to pick from. If you want us to help you out, please provide all the information you can so we can find the best way to help you. Thank you!

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3 years ago

A square has side lengths of 3/4 in. What is its area?

Leno4ka [110]

Hey there! :)

Answer:

A = 9/16 in².

Step-by-step explanation:

Use the formula A = s² to solve for the area where s = 3/4 in:

A = (3/4)²

A = 9/16 in².

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4 years ago

Read 2 more answers

Rahul has a farm he wishes to fence. The farm is the pentagon ABCDE, shown below. He knows that ABCD is a 140 m by 150 m rectang

Dvinal [7]

Answer:

How do you except me to know

Step-by-step explanation:

Bruh I came here to find the Awnser not to actually work for it

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3 years ago

Evaluate f(x)=3x*3+8x*2+5x-7 for remainder theorem

Evaluate f(x)=3x3+8x2+5x-7 for remainder theorem