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MArishka [77]
3 years ago
10

Factor each expression. Problem: 2p^3 + 6p^2 + 3p + 9 Answer: (p + 3) (2p2 + 3)

Mathematics
1 answer:
oee [108]3 years ago
4 0
Factor by grouping
2p^3 + 6p^2 + 3p + 9
2 p^3+6 p^2+3 p+9=\left(2 p^3+6 p^2\right)+(3 p+9)=\left(2 p^2\right) (p+3)+3 (p+3)
2 p^2 (p+3)+3 (p+3)
(p+3) \left(2 p^2+3\right)
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Will give brainliest
posledela

Answer:

8

Step-by-step explanation:

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3 years ago
etermine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution. 3 2 x
nata0808 [166]

Answer:

(32/15, -2/5)

Step-by-step explanation:

(1) ³/₂x   -    2y =  4

(2)   x  +    ⅓y =  2

(3)  3x   -     4y =  8              Multiplied (1) by 2

(4)  3x  +       y =  6              Multiplied (2) by 3

                  5y = -2              Subtracted (3) from (4)

(5)                 y = -⅖             Divided each side by 5

       x + ⅓(-⅖) =  2              Substituted (5) into (2)

       x  -  ²/₁₅    =  2

       x              =  2 + ²/₁₅     Added ²/₁₅ to each side

      x              = 32/15

The system of equations has only one solution: (32/15, -2/5).

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3 years ago
20 POINTS N BRAINLIEST!!16.Alun has a part-time job working as a bus boy at a
olchik [2.2K]

Answer:

a)E=.05t +34

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Step-by-step explanation:

a) he gets 5% of tips out of all tips people gave to the restaurant , 5% --> .05 (as a decimal) --> this is "t"

he earns an extra $34 a night of work. --> this is the constant

E= --> the total earned that night

E=.05t +34

b) simply plug in the total tip into the equation

E=.05(400) + 34

E=$54

--> he earned $54 that night

c) since we are given the total earned that night, we now plug in for y. in this case we plug "$64" for y

we find t, which is tip the restaurant was given

--> 64 = .05t +34

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30= .05t ---> divide by .05 each side

t= $600

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hoped this helped:)

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3 years ago
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andrew11 [14]

Answer:

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Beneficial terms of trade or trading price between two parties are opportunity costs lower than the cost to manufacture them locally which benefits both parties. They must be less enough to cover the freight charges or additional service charges that may arise.

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