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ruslelena [56]
3 years ago
13

If a polynomial function f(x) has roots 4 - 13 and 5, what must be a factor of f(x)?

Mathematics
1 answer:
Alla [95]3 years ago
4 0

Answer:

I believe its C

amsc:dherbo00

Step-by-step explanation:

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Paul baked 56 blueberry muffins. His brother Pete ate 7 muffins and his father William ate 5 muffins. Which expression can Paul
Natasha_Volkova [10]

Answer: 56-(7+5)

Step-by-step explanation:

You can find the amount of muffins left over by adding up the amount of muffins that were eaten and subtracting them from the original amount of blueberry muffins, so the answer is 56-(7+5).

(7+5 is in parentheses because if not, you would have 56-7+5 and get 54).

4 0
3 years ago
Round 487.010 to the nearest whole number. Enter your answer in the space<br> provided
saw5 [17]

Answer:

487

Step-by-step explanation:

The answer is 487 because you must look one place to the right of the whole number for the rounding digit on the right side of the decimal point which is 0. Then you round down since the digit is not greater than 5.

.

5 0
3 years ago
Which inequality is represented by the graph?
PSYCHO15rus [73]

Answer:

<h2>NONE OF THEM</h2>

Step-by-step explanation:

From the graph,

y and x intercepts are (0,-3) and approximately (1.9,0) respectively

for A, C and D : y=53x-3

x intercept the value of y=0, and y intercept x=0.

x and y intercepts are (\frac{3}{53},0 ) and approximately (0,-3) respectively

for B: y=35x-5

 x and y intercepts are (\frac{3}{35},0 ) and approximately (0,-3) respectively

Therefore x and y intercepts for the lines y\leq 53x-3,y>53x-3, y and y they are not equal to the x and y intercepts of the given graph

3 0
3 years ago
A representative from the National Football League's Marketing Division randomly selects people on a random street in Kansas Cit
Orlov [11]

Using the binomial distribution, we have that:

a) 0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.

b) 0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.

c) The expected number of people is 4, with a variance of 20.

For each person, there are only two possible outcomes. Either they attended a game, or they did not. The probability of a person attending a game is independent of any other person, which means that the binomial distribution is used.

Binomial probability distribution  

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}  

C_{n,x} = \frac{n!}{x!(n-x)!}

The parameters are:

  • p is the probability of a success on a single trial.
  • n is the number of trials.
  • p is the probability of a success on a single trial.

The expected number of <u>trials before q successes</u> is given by:

E = \frac{q(1-p)}{p}

The variance is:

V = \frac{q(1-p)}{p^2}

In this problem, 0.2 probability of a finding a person who attended the last football game, thus p = 0.2.

Item a:

  • None of the first three attended, which is P(X = 0) when n = 3.
  • Fourth attended, with 0.2 probability.

Thus:

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{3,0}.(0.2)^{0}.(0.8)^{3} = 0.512

0.2(0.512) = 0.1024

0.1024 = 10.24% probability that the marketing representative must select 4 people to find one who attended the last home football game.

Item b:

This is the probability that none of the first six went, which is P(X = 0) when n = 6.

P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}

P(X = 0) = C_{6,0}.(0.2)^{0}.(0.8)^{6} = 0.2621

0.2621 = 26.21% probability that the marketing representative must select more than 6 people to find one who attended the last home football game.

Item c:

  • One person, thus q = 1.

The expected value is:

E = \frac{q(1-p)}{p} = \frac{0.8}{0.2} = 4

The variance is:

V = \frac{0.8}{0.04} = 20

The expected number of people is 4, with a variance of 20.

A similar problem is given at brainly.com/question/24756209

3 0
2 years ago
(x+12) (3x+2)<br> Find the value of X
KatRina [158]

Step-by-step explanation:

Equation at the end of step 1

(3x2 - 38x) + 24 = 0

STEP2:Trying to factor by splitting the middle term

 2.1     Factoring  3x2-38x+24 

The first term is,  3x2  its coefficient is  3 .

The middle term is,  -38x  its coefficient is  -38 .

The last term, "the constant", is  +24 

Step-1 : Multiply the coefficient of the first term by the constant   3 • 24 = 72 

Step-2 : Find two factors of  72  whose sum equals the coefficient of the middle term, which is   -38 .

     -72   +   -1   =   -73     -36   +   -2   =   -38   That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -36  and  -2 

                     3x2 - 36x - 2x - 24

Step-4 : Add up the first 2 terms, pulling out like factors :

                    3x • (x-12)

              Add up the last 2 terms, pulling out common factors :

                    2 • (x-12)

Step-5 : Add up the four terms of step 4 :

                    (3x-2)  •  (x-12)

             Which is the desired factorization

Equation at the end of step2:

(x - 12) • (3x - 2) = 0

STEP3:Theory - Roots of a product

 3.1    A product of several terms equals zero. 

 When a product of two or more terms equals zero, then at least one of the terms must be zero. 

 We shall now solve each term = 0 separately 

 In other words, we are going to solve as many equations as there are terms in the product 

 Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

 3.2      Solve  :    x-12 = 0 

 Add  12  to both sides of the equation : 

                      x = 12

Solving a Single Variable Equation:

3 0
3 years ago
Read 2 more answers
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