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Archy [21]
3 years ago
9

How do I factor 2x^3−18x and x ^3+6x^2+8x

Mathematics
1 answer:
Nana76 [90]3 years ago
4 0

Answer:

2x(x − 3)(x + 3)

x(x + 4)(x + 2)

Step-by-step explanation:

2x³ − 18x

x(2x² − 18)

2x(x² − 9)

2x(x − 3)(x + 3)

x³ + 6x² + 8x

x(x² + 6x + 8)

x(x + 4)(x + 2)

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James is x years old now and the sum of his age is and his brothers age is 10.
Vesnalui [34]

Answer:

1) James brother is 10-x years old

2) James was 3 years ago x-3 years old

3) James brother was 3 years ago 7-x years old

4) 3(x-3)=7-x

5) James is 4 years old, his brother is 6 years old

Step-by-step explanation:

3) 10 - x - 3 = 7 - x

5) 3* James age 3 years ago = James brothers age 3 years ago

<=> 3*(x-3) = 7-x

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5 0
3 years ago
A new college, The University of Discrete Structures, is opening in Boulder! Ioana and Rachel are its founders and are holding a
Rama09 [41]

Answer:

  (a) 9 buildings

  (b) 2^n -1

Step-by-step explanation:

The number of distinct non-empty subsets of b objects is 2^b -1. Since the subsets are distinct, each could represent a list of the buildings, from the set of b buildings, in which a student is taking courses.

(a) For 8 buildings, 2^8 -1 = 255 students could enroll. for 9 buildings, 2^9-1 = 511 students could enroll.

For 500 students, 9 buildings are required.

__

(b) The maximum number of students for n buildings is ...

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3 0
3 years ago
Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. Fo
Semenov [28]

Complete Question

Pennsylvania Refining Company is studying the relationship between the pump price of gasoline and the number of gallons sold. For a sample of 14 stations last Tuesday, the correlation was 0.65.At the 0.01 significance level Can the company conclude that the correlation is positive

Answer:

Yes the company conclude that the correlation is positive

Step-by-step explanation:

From the question we are told that

   The  sample size is  n =  14

    The correlation is  r =  0.65

     

The  null hypothesis is  H_o :  r <  0

The  alternative hypothesis is  H_1 :  r > 0

Generally the standard deviation is mathematically evaluated as

       Sr =  \sqrt{1- r}

       Sr =  \sqrt{1- 0.65}

       Sr = 0.616

The  degree of freedom for the one-tail test is

       df =  n- 2

        df =  14- 2

        df = 12

The standard error is evaluated as

        SE  =  \frac{0.616}{ \sqrt{12} }

        SE  =0.1779

The test statistics  is evaluated as

      t =  \frac{r }{SE}

       t =  \frac{0.65 }{0.1779}

        t =  3.654

The p-value of of  t is obtained from the z table, the value is  

        p-value =  P(t <  3.654) =  0.00012909

Given that p-value  <  \alpha  then we reject the null hypothesis

           Hence the company can conclude that the correlation is positive

     

6 0
3 years ago
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