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attashe74 [19]
3 years ago
13

Princess Poly has found most of the matches after spending a few hours working on the map of the garden and the labeled fences.

She has one piece of fencing left and three rectangular plots it might belong to.
The polynomial label for the final section of fencing is r(x)=2x3+x2−41x+20.

One of the rectangular plots has a side labeled as c(x)=x+1.

Which method shows the correct way to test whether c(x) is a factor of r(x)?
Mathematics
1 answer:
vovangra [49]3 years ago
7 0

Answer:

46

Step-by-step explanation:

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A home’s value increases at an average rate of 5.5% each year. The current value is $120,000. What function can be used to find
notsponge [240]
So we need to cover 5.5% into a decimal. 

0.055 = 5.5%

The house value is 120,000.
So 

(1.055x) * (120,000)= 

So

f(x)=1.055x * 120,000
7 0
3 years ago
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At a carnival, you spin a spinner that has four equal-sized sections, each a different color: green, yellow, red, and blue. If y
Alex_Xolod [135]

Answer:

The answer

Step-by-step explanation:

The expected value equation could only be

2x = 3y

5 0
3 years ago
Faith started last week with $1,100 in her checking account. During the week, she wrote the checks below.
quester [9]

Answer:

the correct answer is A

Step-by-step explanation:


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3 years ago
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You estimated the average rental cost of a 2 bedroom apartment in Denton. A random sample of 16 apartments was taken. The sample
Zigmanuir [339]

Answer:

The new sample size required in order to have the same confidence 95% and reduce the margin of erro to $60 is:

n=28

Step-by-step explanation:

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".  

Assuming the X follows a normal distribution  

X \sim N(\mu, \sigma=160)  

And the distribution for \bar X is:

\bar X \sim N(\mu, \frac{160}{\sqrt{n}})  

We know that the margin of error for a confidence interval is given by:  

Me=z_{\alpha/2}\frac{\sigma}{\sqrt{n}}   (1)  

The next step would be find the value of \z_{\alpha/2}, \alpha=1-0.95=0.05 and \alpha/2=0.025  

Using the normal standard table, excel or a calculator we see that:  

z_{\alpha/2}=\pm 1.96  

If we solve for n from formula (1) we got:  

\sqrt{n}=\frac{z_{\alpha/2} \sigma}{Me}  

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And we have everything to replace into the formula:  

n=(\frac{1.96(160)}{78.4})^2 =16  

And this value agrees with the sample size given.

For the case of the problem we ar einterested on Me= $60, and we need to find the new sample size required to mantain the confidence level at 95%. We know that n is given by this formula:

n=(\frac{z_{\alpha/2} \sigma}{Me})^2  

And now we can replace the new value of Me and see what we got, like this:

n=(\frac{1.96*160}{60})^2 =27.32

And if we round up the answer we see that the value of n to ensure the margin of error required Me=\pm 60 $ is n=28.    

5 0
2 years ago
What are the roots of the equation x^2+3x-18=0
belka [17]
First you open 2 parenthesis with x in each one:

(x )(x )=0

Then, you place the sign of the second term (the x term) in the first parenthesis.

(x+ )(x )=0

Next, you multiply the signs of the x term and the sign of the constant (the third term).
Since + × - = -, then you place a -.

(x+ )(x- )=0

You look at the constant (-18) and the second term (3). What two numbers multiplied give you -18 but subtracted (since the signs inside the parenthesis are opposite) give you 3? Those numbers are 6 and 3.
Since the result of the substraction need to be 3, you place the 6 with the + sign and the 3 with the negative sign (if you think of it, 6-3=3 but 3-6 = -3. That's the reason behind placing the numbers)

(x+6)(x-3)=0

Therefore,

x+6=0 or x-3=0

x=-6 or x=3

Your roots are -6 and 3.
8 0
3 years ago
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