1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
MariettaO [177]
3 years ago
6

PLEASE HELP me!! will give brainliest!! (:

Mathematics
2 answers:
Cloud [144]3 years ago
5 0

Answer:

The answer to your question is: Yes, x - 5  is a factor of the polynomial.

Step-by-step explanation:

To answer this question you need  to divide the polynomial by the factor and if there is nothing left, they are factor.

                   

                             <u>x³ -4x² -7x +10</u>

                                      x -5

                         

                         x²  + x -2

              x-5      x³ -4x² -7x +10

                        -x³ + 5x²

                               x²  - 7x

                             -x²   + 5x

                                      -2x + 10

                                      +2x -10

                                         0     0       These zeros tell us that the linear

                                                          expression is a factor of the polynomial                

                                     

rjkz [21]3 years ago
3 0

Hey!

-------------------------------------------------

Solution:

f(x)= \frac{x^3-4x^2-7x+10}{x-5}\\f(x)= x^2 + x - 2\\f(x)= (x^2 + x - 2)(x-5)\\f(x)= (x+2) (x-1) (x-5)

-------------------------------------------------

Answer:

f(x) = (x+2) (x-1) (x-5)

x - 5 is a factor of this polynomial.

-------------------------------------------------

Hope This Helped! Good Luck!

You might be interested in
Help please and thank you
Sidana [21]

Answer:

It's discrete and non-linear

Step-by-step explanation:

it is not continuous and linear because it does not form a line going in one direction the entire time

6 0
3 years ago
There is one error in one of five blocks of a program. To find the error, we test three randomly selected blocks. Let X be the n
Molodets [167]
<span>The probability, or expectation value for X in a block, equals the number of occurrences of X in all the blocks divided by the total number of blocks

</span>

well E(X)=µ and 

Var(X)=E[(X-µ)^2]

7 0
3 years ago
Some scientists believe alcoholism is linked to social isolation. One measure of social isolation is marital status. A study of
frez [133]

Answer:

1) H0: There is independence between the marital status and the diagnostic of alcoholic

H1: There is association between the marital status and the diagnostic of alcoholic

2) The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

3) \chi^2 = \frac{(21-33.143)^2}{33.143}+\frac{(37-41.429)^2}{41.429}+\frac{(58-41.429)^2}{41.429}+\frac{(59-46.857)^2}{46.857}+\frac{(63-58.571)^2}{58.571}+\frac{(42-58.571)^2}{58.571} =19.72

4) df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.72)=5.22x10^{-5}

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.72,2,TRUE)"

Since the p value is lower than the significance level so then we can reject the null hypothesis at 5% of significance, and we can conclude that we have association between the two variables analyzed.

Step-by-step explanation:

A chi-square goodness of fit test "determines if a sample data matches a population".

A chi-square test for independence "compares two variables in a contingency table to see if they are related. In a more general sense, it tests to see whether distributions of categorical variables differ from each another".

Assume the following dataset:

                    Diag. Alcoholic   Undiagnosed Alcoholic    Not alcoholic    Total

Married                     21                              37                            58                116

Not Married              59                             63                            42                164

Total                          80                             100                          100              280

Part 1

We need to conduct a chi square test in order to check the following hypothesis:

H0: There is independence between the marital status and the diagnostic of alcoholic

H1: There is association between the marital status and the diagnostic of alcoholic

The level os significance assumed for this case is \alpha=0.05

Part 2

The statistic to check the hypothesis is given by:

\sum_{i=1}^n \frac{(O_i -E_i)^2}{E_i}

Part 3

The table given represent the observed values, we just need to calculate the expected values with the following formula E_i = \frac{total col * total row}{grand total}

And the calculations are given by:

E_{1} =\frac{80*116}{280}=33.143

E_{2} =\frac{100*116}{280}=41.429

E_{3} =\frac{100*116}{280}=41.429

E_{4} =\frac{80*164}{280}=46.857

E_{5} =\frac{100*164}{280}=58.571

E_{6} =\frac{100*164}{280}=58.571

And the expected values are given by:

                    Diag. Alcoholic   Undiagnosed Alcoholic    Not alcoholic    Total

Married             33.143                       41.429                        41.429                116

Not Married     46.857                      58.571                        58.571                164

Total                   80                              100                             100                 280

And now we can calculate the statistic:

\chi^2 = \frac{(21-33.143)^2}{33.143}+\frac{(37-41.429)^2}{41.429}+\frac{(58-41.429)^2}{41.429}+\frac{(59-46.857)^2}{46.857}+\frac{(63-58.571)^2}{58.571}+\frac{(42-58.571)^2}{58.571} =19.72

Part 4

Now we can calculate the degrees of freedom for the statistic given by:

df=(rows-1)(cols-1)=(3-1)(2-1)=2

And we can calculate the p value given by:

p_v = P(\chi^2_{2} >19.72)=5.22x10^{-5}

And we can find the p value using the following excel code:

"=1-CHISQ.DIST(19.72,2,TRUE)"

Since the p value is lower than the significance level so then we can reject the null hypothesis at 5% of significance, and we can conclude that we have association between the two variables analyzed.

7 0
3 years ago
Find the area. Simplify your answer​
Wittaler [7]

Answer:

14

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Simplify (w/6)^-2<br><br> A.w^2/36<br><br> B.1/36w^2<br><br> C.36/w^2<br><br> D.36w^2
serious [3.7K]
The awenser is a             dfrdhfd dhgdfhujgdf  djfhdug

6 0
2 years ago
Other questions:
  • Tripling the greater of two consecutive even integers gives the same result as subtracting 10 from the lesser even integer. What
    7·1 answer
  • The diagonals of a parallelogram are 2.3cm and 3.2cm long. Can you tell if the parallelogram is a rhombus? Explain how you know.
    8·1 answer
  • Which represents the solution(s) of the system of equations, y + 4 = x2 and y-x=2? Determine the solution set by
    15·1 answer
  • Find each sum.Write in simplest form. 2/6+3/6= 3/8+3/8= 1/4+1/4= 5/12+3/12
    14·1 answer
  • How many solutions are there to the equation below ? 8x+47 =8 (x+5)
    9·1 answer
  • Can anybody help me with my homework please. and explain me how to got the answer. Thanks
    10·1 answer
  • Which number produces an irrational number when multiplied by 1/3. Pls explain
    11·2 answers
  • Use the coordinates of the labeled point to find the point slope equation of the line
    12·1 answer
  • 1. Is (2,1) a solution to the system of equations below?*<br> 1 point<br> x = 2y<br> x+y=3
    8·1 answer
  • A farmer has 20 bins of apples. Each bir
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!