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nikitadnepr [17]
2 years ago
11

Divide x4-3x3-5X2-7x-9 by x + 1.

Mathematics
1 answer:
4vir4ik [10]2 years ago
5 0

The division of x4-3x3-5X2-7x-9 by x + 1. yields; x²-4x²-x-6 with a remainder of -3.

<h3>Division of polynomials</h3>

From the task content;

  • It follows that the division can be carried out using the long division method.

The division of the polynomial x⁴-3x³-5x²-7x-9 by (x+1) therefore yields; x²-4x²-x-6 with a remainder of -3.

Read more on polynomial division;

brainly.com/question/24662212

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Based on the table of values below, find the slope between points where x = 5 and
aleksklad [387]

Answer:

Slope = 1

Step-by-step explanation:

The table gives the values of y corresponding to the values of x.

At x =5, y = 2.

At x = 7, y = 6 and  

At x = 10, y = 7

Now, we have to determine the slope between points where x = 5 and where x = 10.

Now, the two concerned points are (5,2) and (10,7) and we have to find the slope between those two points.

Now, slope,  m = \frac{7 - 2}{10 - 5} = 1 (Answer)

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3 years ago
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The price of a video game was reduced from $60
Zigmanuir [339]
You take the orignal price of the video game and subtract the new price to see how much it was reduced. 60-45 = 15. then you take the reduced amount of the game (15) and divide by the original price (60). 
you get 25%
your answer is B
7 0
3 years ago
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The geometric mean of 8 and 2 is<br><br> 5<br> 3<br> 4<br> 16
igomit [66]

Answer:5

Step-by-step explanation:

<h3><u>(8 + 2)</u> <u>sum of values  </u>    =    <u>10</u>  =  5</h3><h3>    2    number of values        2</h3><h3 />

There is equal spacing between the mean and the extremes

8 - 5 = 3

5 - 2 = 3

5 0
3 years ago
Check all solutions to the equation. If there are no solutions, check "None."x2=0A. 1B. -1C.0D. 10E. 4E None
Juli2301 [7.4K]

The given equation is,

\begin{gathered} x^2=0 \\ x=0 \end{gathered}

Thus, option (C) is the correct solution.

8 0
1 year ago
In a random sample of males, it was found that 28 write with their left hands and 210 do not. In a random sample of females, it
Drupady [299]

Answer:

a) Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

b) z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271    

c)p_v =P(Z   

d) If we compare the p value and the significance level given \alpha=0.05 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant lower than the proportion of female that write with their left hand

Step-by-step explanation:

1) Data given and notation  

X_{M}=28 represent the number of men that write with their left hand

X_{W}=62 represent the number of women  that write with their left hand

n_{M}=210+28=238 sample of male selected

n_{W}=62+435=497 sample of female selected

p_{M}=\frac{28}{238}=0.118 represent the proportion of men  that write with their left hand

p_{W}=\frac{62}{497}=0.125 represent the proportion of women that write with their left hand

\alpha=0.05 represent the significance level

z would represent the statistic (variable of interest)  

p_v represent the value for the test (variable of interest)

2) Concepts and formulas to use  

We need to conduct a hypothesis in order to check if the rate of left-handedness among males is less than that among females , the system of hypothesis would be:  

Null hypothesis:p_{M} \geq p_{W}  

Alternative hypothesis:p_{M} < p_{W}  

We need to apply a z test to compare proportions, and the statistic is given by:  

z=\frac{p_{M}-p_{W}}{\sqrt{\hat p (1-\hat p)(\frac{1}{n_{M}}+\frac{1}{n_{W}})}}   (1)

Where \hat p=\frac{X_{M}+X_{W}}{n_{M}+n_{W}}=\frac{28+62}{238+497}=0.122

3) Calculate the statistic

Replacing in formula (1) the values obtained we got this:  

z=\frac{0.118-0.125}{\sqrt{0.122(1-0.122)(\frac{1}{238}+\frac{1}{497})}}=-0.271  

4) Statistical decision

We have a significance level provided \alpha=0.05, and now we can calculate the p value for this test.  

Since is a one left side test the p value would be:  

p_v =P(Z  

If we compare the p value and the significance level given \alpha=0.05, 0,1,0.15 we see that p_v>\alpha so we can conclude that we have enough evidence to FAIL to reject the null hypothesis, and we can say the the proportion of men that write with their left hand is NOT significant loer than the proportion of female that write with their left hand .  

6 0
3 years ago
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