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aalyn [17]
3 years ago
13

What is the remainder when 2x^3+3x^2+x+1 is divided by x+3

Mathematics
1 answer:
ExtremeBDS [4]3 years ago
4 0
2x^3 + 3x^2 + x + 1
=2x^3 + 3x^2 + 3x^2 - 3x^2 + x + 1
=2x^3 + 6x^2 - 3x^2 + x + 1
=2(x^3 + 3x^2) - 3x^2 + x + 1
=2x^2*(x+3) - 3x^2 -9x + 9x + x +1
=2x^2*(x+3) - 3x(x+3) + 10x +1
=2x^2*(x+3) - 3x(x+3) + 10x + 30 - 30 +1
=2x^2*(x+3) - 3x(x+3) +10(x+3) -29

The first three terms can be divided by (x+3) evenly so the remainder is -29
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Answer:

a. 36.25 ft

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Step-by-step explanation:

GIVE YOUR ANSWER IN FEET !!! as the problem statement says.

not in inches. when you use the scale factor with inches, you get inches as result. then you need to convert them to feet.

how many inches in 1 ft ?

12 !

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3 years ago
Ignore the answers! I need help I’ll mark u brainly
Vinil7 [7]
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Explain why angle Y is congruent to angle B
DerKrebs [107]

<u><em>Note: It seems you may have unintentionally missed to add the complete question statement, but I will make sure to make you understand the concept of angle congruence anyways using which you may be able to clear all your queries regarding the concept.</em></u>

Answer:

When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).

The figure a is also attached below to visualize the concept.

Step-by-step explanation:

When we say the angles Y and B are Congruent. It means these congruent angles have the same angle measured in degrees. (or in radians as both are units of measure for angles).

Here are some additional things to observe:

  • Angles are congruent as long as the angles are the same
  • they don't have to point in the same direction
  • they don't have to be made with lines of the same length.

For instance, below is the example. Where,

  • Angle Y is 42°
  • Angle B is 42°

As the measure of these angles is same. It means the angles Y and B are Congruent. The figure a is also attached below to visualize the concept.

Keywords: congruent angles

Learn more about congruent angles from brainly.com/question/1700207

#learnwithBrainly

5 0
4 years ago
tickets for a harlem globetrotter show cost $28 general admission, $43 courtside, or $173 bench seats. Nine times as many genera
densk [106]

Answer:

general admission tickets  1170

courtside tickets  985

tickets bench seats.  130

Step-by-step explanation:

To solve the problem, it is necessary to generate a system of equations with the information provided by the statement.

First be

x = # general admission tickets

y = # courtside tickets

z = # tickets bench seats.

The first equation would be that they sold nine times more general admission tickets than bench seats tickets.

That is: x = 9 * z (1)

And the second equation is that the number of general admission tickets sold was 55 more than the sum of the number of courtside tickets and bench seats tickets.

That is: x = 55 + y + z (2)

Now the third equation would be the money raised.

28 * x + 43 * y + 173 * z = 97605 (3)

Now if I replace I rearrange (1):

z = x / 9 (4) and replacement in 2, I have:

x = 55 + y + x / 9, rearranging:

y = (8/9) * x - 55 (5)

Now replacing (4) and (5) in 3, we have:

28 * x + 43 * ((8/9) * x - 55) + 173 * (x / 9) = 97605

Solving the above:

x = 1170, therefore

y = (8/9) * 1170 55 = 985

z = 1170/9 = 130

We can confirm this with equation (3)

28 * x + 43 * y + 173 * z = 97605

28 * 1170 + 43 * 985 + 173 * 130 = 97605

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3 years ago
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