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Alexandra [31]
2 years ago
8

Use the grouping method to factor this polynomial completely.

Mathematics
1 answer:
wel2 years ago
6 0

Answer:

D.  (4x^2 + 3)(x + 2)

Step-by-step explanation:

Hello!

We can group the first two terms and the last two terms and factor each group.

<h3>Factor by Grouping</h3>
  • 4x^3 + 8x^2 + 3x + 6
  • (4x^3 + 8x^2) + (3x + 6)
  • 4x^2(x + 2) + 3(x + 2)

Now we can combine the like factors:

  • (4x^2 + 3)(x + 2)

The answer is Option D.

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If an image is to be reflected in the line y = x and the x-axis, does the order of the reflections affect the final image? Expla
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Answer:

Affects

Step-by-step explanation:

Consider point (2,-1).

1. Reflect it in the line y=x, then the image point will have coordinates (-1,2). Now reflect it in the x-axis, then the image point will have coordinates (-1,-2).

2. Reflect the point (2,-1) in the x-axis. Its image is point (2,1). Reflect this point in the line y=x, then its image will be point (1,2).

Since images in 1st case and 2nd case differ, the order affects the final image.

4 0
3 years ago
A parabola has a vertex at (3,4) and passes through point (-2,-9/4) as shown to the right. Which of the following is the equatio
Alex17521 [72]

Answer:

b. y= -4(x-3)^2+4

Step-by-step explanation:

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6 0
3 years ago
An airplane flies into the wind for 5 hours, traveling 900 miles. The airplane then
Musya8 [376]

Answer:

22.5 miles per hour

Step-by-step explanation:

<u>Given system of equations</u>

5(s-w)=900

4(s+w)=900

<u />

<u>Set equations equal to each other</u>

5(s-w)=4(s+w)

5s-5w=4s+4w

s-5w=4w

s=9w

<u>Solve for w using the substitution s=9w</u>

4(s+w)=900

4(9w+w)=900

4(10w)=900

40w=900

w=22.5

Therefore, the speed of the wind is 22.5 miles per hour

7 0
3 years ago
16/ ? = -8 can anyone help plz
erma4kov [3.2K]
I believe the answer is 8
3 0
3 years ago
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Each ticket for the carnival cost $0.35 Susie by three tickets which group of coins did she play with.
kap26 [50]

Answer:

nickles

Step-by-step explanation:

0.35 x 3= 1.50

so yeah I think so And happy thx giving!

8 0
3 years ago
Read 2 more answers
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