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olga nikolaevna [1]
3 years ago
15

Factor 7x^3+28x^2+21x

Mathematics
1 answer:
jarptica [38.1K]3 years ago
3 0

Answer:

7x (x + 1 ) ( x + 3 )

Step-by-step explanation:

7x³ +28x² +21x

7x ( x² + 4x + 3 )

7x [ x² + 1x + 3x + 3 ]

7x [ x ( x + 1 ) + 3 ( x + 1 ) ]

7x (x + 1 ) ( x + 3 )

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Need help with number 10 please
Naddika [18.5K]

Answer:

  Pilar is correct. Both systems have solution (-2, 4).

Step-by-step explanation:

Graphing, or any other means of solving these systems of equations reveals both systems have the same solution: (x, y) = (-2, 4).

_____

By Cramer's rule, the solution to the first set is ...

  x = (2(6)-4(2))/(2(5)-4(3)) = 4/-2 = -2

  y = (2(5)-6(3))/-2 = -8/-2 = 4

(x, y) = (-2, 4) is the solution to the first system

__

Since the first equation of the second system is the same as the first equation of the first system, we know the above solution satisfies that equation. We only need to check to see if the same point satisfies the second equation of the second system:

  11(-2) +8(4) = -22 +32 = 10 . . . . . yes,

(-2, 4) is the solution of the second system

Pilar is correct that both systems have the same solution.

_____

Cramer's Rule tells you the solution to

  • ax +by = c
  • dx +ey = g

is ...

  • x = (bg -ec)/(bd -ea)
  • y = (cd -ga)/(bd -ea) . . . . same denominator as for x

I like to use Cramer's Rule when the solution is needed without a lot of steps. Here, we could use the Elimination method to eliminate the y-variable and solve for x. Then more steps are needed to find y. The writing out and explanation are tedious, so it is much simpler just to use a formula that gives the answer.

3 0
3 years ago
Yasmine needs to create invitation for the party. She has 3/4 of an hour to make the invitations. It takes her 1/12 of an hour t
aivan3 [116]

Answer:

one card takes 1/12 of an hour or 60/12=5 minutes.

she has 3/4 of an hour or 60×3/4=45 minutes

number of cards she can make =45/5=9

6 0
3 years ago
Read 2 more answers
Aaron has 13 dimes and 10 quarters. Emily has the same amount of money as Aaron, but she only has nickels and dimes.
iogann1982 [59]

Answer:

The answer

Step-by-step explanation:

16 nickels and 30 dimes

8 0
3 years ago
Area of a triangle (picture provided)
nignag [31]

Answer:

C

Step-by-step explanation:

The area of triangles is 1/2 x b x h.

Plug them in!

1/2 x 24 x 35

Simplify.

12 x 35

420 square inches

6 0
3 years ago
Which of the following is the function of FX if F^-1 (x) = ×/8 +3
Anton [14]

Answer:

F(x)=8(x-3)

Step-by-step explanation:

Had to watch a video but I THINK this is the correct answer

8 0
3 years ago
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