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Lina20 [59]
3 years ago
6

Using the grouping method to factor the polynomial below completely. x^3+2x^2+4x+8

Mathematics
1 answer:
Ivenika [448]3 years ago
3 0

Answer:  (x+2)(x^2+4)

Step-by-step explanation:

x^3+2x^2+4x+8

(x^3+2x^2)+(4x+8)\\x^2(x+2)+4(x+2)

(x+2)(x^2+4)

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Kim finish reading a book and 13.5 hours. He took Javis 845 minutes to read same book. Monica read the book and 49,500 seconds.
sesenic [268]
Put it all into the same measurement unit -
Kim: 48,600 seconds. (13.5*60=810, 810*60=48600)
Javis: 50,700 seconds. (845*60=50,700)
Monica: 49,500 seconds.

Kim finished the book first.
3 0
2 years ago
There are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom. The three candidates that rece
sveticcg [70]

Answer:

56

Step-by-step explanation:

Given that there are 8 candidates for student government: Hal, Mary, Ann, Frank, Beth, John, Emily, and Tom.

The three candidates that receive the highest number of votes become candidates for a runoff election.

i.e. 3 persons out of 8 to be selected for becoming candidates for a runoff election.

Since order does not matter we use combinations here

3 persons out of 8 can be done in 8C3 ways

= 56

no of 3-candidate combinations  possible are 56

3 0
3 years ago
An airplane flies from City 1 at (0, 0) to City 2 at (33, 56) and then to City 3 at (23, 32). What is the total number of miles
uranmaximum [27]

Answer:

The airplane flies 95 miles.

Step-by-step explanation:

  1. First we need to find the distance for the first segment using the formula for distance D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}. Let's say (x_{1},y_{1}) is (0, 0) and (x_{2},y_{2}) is (33, 56). This gets us that the length of this segment is 65 miles.
  2. Next, we need to find the distance for the second segment. Using the same formula for distance  D=\sqrt{(x_{2}-x_{1})^2 + (y_{2}-y_{1})^2}, we can say (x_{1},y_{1}) is now (33, 56) and (x_{2},y_{2}) is now (23, 32). This gets us that the length of this segment is 26 miles.
  3. To get the total distance traveled, add the length of these two segments together (65 miles + 26 miles) to get 91 total miles traveled.
7 0
2 years ago
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A certain quantity grows exponentially over time. The initial quantity at t = 0 is 2,000. The quantity grows by a factor of 20%.
katovenus [111]
The quantity at t=8 is $8,599.63
8 0
3 years ago
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You can walk 3/4 of a mile in 1/6 of an hour (10 minutes). How far can you walk in an hour?
Hoochie [10]

Answer:

4 and 1/2 miles (or 9/2 miles)

Step-by-step explanation:

I would set this up as a proportion

3/4          x

10          60

Cross multiply

60 x 3/4 = 45

Divide

45/10 = 4.5

4.5 = 4 and 1/2 miles

4 0
3 years ago
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