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Marat540 [252]
4 years ago
13

Factor out the greatest common factor.

Mathematics
1 answer:
lidiya [134]4 years ago
5 0

Answer:

-14p^3+10p^2+4p = 2p (-7p^2+5p+2)

Step-by-step explanation:

-14p^3+10p^2+4p

14=2*7

10=2*5

4=2*2

-14p^3+10p^2+4p = -2*7p^3+2*5p^2+2*2p

The gratest common factor is 2p:

-14p^3+10p^2+4p = 2p [-2*7p^3/(2p)+2*5p^2/(2p)+2*2p/(2p)]

-14p^3+10p^2+4p = 2p [-7p^(3-1)+5p^(2-1)+2]

-14p^3+10p^2+4p = 2p (-7p^2+5p^1+2)

-14p^3+10p^2+4p = 2p (-7p^2+5p+2)

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A television network is deciding whether or not to give its newest television show a spot during prime viewing time at night. Fo
eimsori [14]

Answer:

H0: p ≤ 0.50; HA: p > 0.50

The null hypothesis is that the majority of the customers would not want to watch the new show.

H0: p ≤ 0.50

The alternative hypothesis is that the majority of the customers would want to watch the new show.

HA: p > 0.50

Note : majority means greater than 50% (p > 0.50)

Step-by-step explanation:

The null hypothesis (H0) tries to show that no significant variation exists between variables or that a single variable is no different than its mean. While an alternative Hypothesis (Ha) attempt to prove that a new theory is true rather than the old one. That a variable is significantly different from the mean.

The null hypothesis is that the majority of the customers would not want to watch the new show, so they maintain the original lineup.

H0: p ≤ 0.50

The alternative hypothesis is that the majority of the customers would want to watch the new show. So they alter the original lineup of programs.

HA: p > 0.50

Note : majority means greater than 50% (p > 0.50)

4 0
3 years ago
Factor the polynomial completely. 14a^4 b^2 - 21a^3 b^2
Gnom [1K]

Answer: b^{2}(1-21a^{3})

Step-by-step explanation:

b^{2} - 21a^{3} b^{2} \\b^{2}(1-21a^{3})

8 0
2 years ago
5x - 4y = 19 <br> x + 2y = 8
klemol [59]

Answer:

(5x-4y)=19

5×19-4×19

95-76

19

Step-by-step explanation:

x+2y=8

x=8-2

x=6

7 0
3 years ago
What is the x-coordinate of the vertex of the parabola whose equation is y = 3x2 + 9x?
inn [45]
Hello :
y = 3x²+9x
   = 3(x² + 3x )
   = 3 ( x² +2(3/2)x +(3/2)²) -(3/2)²)
   = 3((x+3/2)² -9/4)
y = 3 (x+3/2)² -27/4
<span>the x-coordinate of the vertex  is : - 3/2</span>
8 0
3 years ago
Read 2 more answers
In one month, Juan worked 5 more hours than Carlito. Sara worked 3 times as many hours as Juan. Altogether they worked 80 hours
tamaranim1 [39]

Answer:

The answer to your question is  a) C + J + S = 80

                                                     b) C = J + 5

                                                      c) S = 45 hours

Step-by-step explanation:

a) To represent the number of hours that they work together, just add the variables and equal them to 80.

            Carlito  +  Juan  +  Sara  = 80

               C + J + S = 80                                 Equation l

b) Juan worked 5 hours more than Carlito

              Juan = Carlito + 5

                  J = C  + 5                                     Equation ll

c) Hours worked by Sara

                  S = 3J                                          Equation lll

                  C = J - 5

Substitute equation ll and lll in equation l to find J

                J - 5 + J + 3J = 80

                5J = 80 - 5

                5J = 75

                  J = 75/5

                  J = 15

-Find S

                S = 3(15)

                S = 45 hours

3 0
4 years ago
Read 2 more answers
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