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vredina [299]
3 years ago
15

Multiply the polynomials.

Mathematics
1 answer:
Nonamiya [84]3 years ago
7 0

Answer:

The answer to your question is: letter A

Step-by-step explanation:

      (x + 3) (3x² + 8x + 9) = 3x³  + 8x² + 9x + 9x² + 24x + 27

                                       = 3x³ + 17x² + 33x + 27              Simplify like terms      

Α. 3x3 + 17x2 + 33x + 27

Β. 3x3 + 17x2 – 15x + 27

C. 3x2 + x2 + 33x+ 27

D. 3x3 + 17x2 + 33x - 27

​

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Use the f(x) given below to determine the transformed functions. f(x) = 3x + 1 f(x + 2) = f(x) + 2 = pls help
Katyanochek1 [597]

Answer:

Step-by-step explanation:

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Whats<br> 50,000 times 68
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The following shows the monthly sales in units of six salespersons before and after a bonus plan was introduced. At 95% confiden
Anarel [89]

Answer:

Since the calculated value of t= 2.249 does not  falls in the rejection region we therefore accept  the null hypothesis at 5 % significance level . On the basis of this we conclude that the  bonus plan has not  increased sales significantly.

Step-by-step explanation:

The null and alternative hypotheses as

H0: μd=0    Ha: μd≠0

Significance level is set at ∝= 0.05

n= 6

degrees of freedom = df = 6-1 = 5

The critical region is t  ( base alpha by 2 with df=5) ≥ ± 2.571

The test statistic under H0 is

t = d/ sd/ √n

Which has t distribution with n-1 degrees of freedom

Sales                                      Difference

Person      After      Before   d = after - before      d²

1                   94          90                4                      16

2                  82          84               -2                       4

3                  90          84               6                       36

4                  76           70               6                       36

5                  79           80               -1                        1

<u>6                  85          80                 5                       25   </u>

∑                                                       18                   118

d`= ∑d/n= 18/6= 3

sd²= 1/6( 118- 18²/6) = 1/6 ( 118 - 54) = 10.67

sd= 3.266

t= 3/ 3.266/ √6

t= 2.249

Since the calculated value of t= 2.249 does not  falls in the rejection region we therefore accept  the null hypothesis at 5 % significance level . On the basis of this we conclude that the  bonus plan has not  increased sales significantly.

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3 years ago
Find the fifth roots of 243(cos 260° + i sin 260°).
Dmitry [639]

Answer:

z1=3 cos (52 + i sin 52)

z2 =3 cos (124 + i sin 124)

z3 = 3 cos (196 + i sin 196)

z4 =3 cos (268 + i sin 268)

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Step-by-step explanation:

To find the fifth roots of 243 (cos 260° + i sin 260°).

z ^ 1/5 = r^1/5 ( cis ( theta + 360 *k)/5)  where k=0,1,2,3,4


So the first root of 243 (cos 260° + i sin 260°)  

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The second root of  243 (cos 260° + i sin 260°)  

is z2 =  243^1/5 ( cis ( 260 + 360 *1)/5)  

          3 cis ( 620/5)

        = 3 cis (124)

        = 3 cos (124 + i sin 124)


The third root of  243 (cos 260° + i sin 260°)  

is z3 =  243^1/5 ( cis ( 260 + 360 *2)/5)  

          3 cis ( 980/5)

        = 3 cis (196)

        = 3 cos (196 + i sin 196)


The fourth root of  243 (cos 260° + i sin 260°)  

is z4 =  243^1/5 ( cis ( 260 + 360 *3)/5)  

          3 cis ( 1340/5)

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        = 3 cos (268 + i sin 268)


The fifth root of  243 (cos 260° + i sin 260°)  

is z5 =  243^1/5 ( cis ( 260 + 360 *4)/5)  

          3 cis ( 1700/5)

        = 3 cis (340)

        = 3 cos (340 + i sin 340)

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3 years ago
I need help on this ASAP!!!<br><br> (Feel free to explain your work! :)
AlladinOne [14]

Answer:

9/25 i think

Step-by-step explanation:

i got 9 from the tally marks, there was 9 tally marks,

and 25 is how much a quarter is

8 0
3 years ago
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