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lubasha [3.4K]
3 years ago
7

(2x ^ 3 - 9x ^ 2 + 6x - 3) / (x - 3) dividing polynomials

Mathematics
1 answer:
inna [77]3 years ago
3 0

Answer:

2x²-3x-3 R12 or 2x²-3x-3-(12/(x-3))

Step-by-step explanation:

We can use synthetic division to divide the polynomials:

3 | 2 -9  6 -3

____6 -9_-9

    2 -3 -3 | -12

Therefore, the answer is 2x²-3x-3 R12 or 2x²-3x-3-(12/(x-3))

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The graphs below are based on government data on unemployment for 2017.
lord [1]

You already got the first two questions right: the group with the highest number of people unemployed / unemployment rate is the one with the highest bar in the respective histogram.

The two graph are related in this sense: take the first age group as reference. We know that 700 people from 16 to 19 are unemployed, and that those people represent 14% of the population, then we know that the 14% of the population between 16 and 19 is 700.

We can deduce that, if x is the number of people between 16 and 19, we have

\dfrac{14}{100}x=700 \iff \dfrac{7}{50}x=700 \iff \dfrac{x}{50}=100 \iff x=5000

So, by the relation between the two graphs, we can deduce the total population for each age group.

3 0
3 years ago
Luke can swim 25 laps in one hour
tatuchka [14]
25x and 4 hours. Hope it’s right
4 0
3 years ago
Read 2 more answers
Bobby thinks 5^2=10 what is wrong with this answer
nignag [31]

Answer:

5^2 means 5*5 not 5*2

Step-by-step explanation:

5 0
3 years ago
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When viewed from the front, the rope used to tie down a tent forms a pair of supplementary angles with the ground. Find $m\angle
pentagon [3]

Answer:

<ABC = 49°

Step-by-step explanation:

The sum of two supplementary angle is 180. From the diagram, the two angles are 3x+4 and 8x+11. IF this two angles are supplementary then;

3x+4+8x+11 = 180

11x+15= 180

11x = 180-15

11x = 165

x = 165/11

x = 15

From the attached diagram, <ABC = 3x+4

<ABC = 3(15)+4

<ABC = 45+4

<ABC = 49°

3 0
3 years ago
A hollow toy, with the dimensions shown in the figure, is to be stuffed with rigid foam. What is the maximum amount of foam that
Fudgin [204]

Option B: 67.02 cubic inches

<h2>Given that:</h2>

The diagram consists of two parts:

  • First a cone on the top with 12 inches height and 4 inches diameter.
  • Second a semi sphere with diameter of 4 inches.

<h2>Calculations:</h2>

The amount of foams that can be stuffed with foam is total volume of both the containers.

Volume of the given cone of 12 inches height and 4 inches diameter can be given as:

\dfrac{1}{3} \times \pi \times 2^2 \times 12\\= 50.265 \: \rm inch ^3

Volume of the semi sphere of 4 inches diameter can be given as:

\dfrac{2}{3} \pi \times 2^3\\= 16.755 \: \rm inch^3

Thus total volume is 50.265 + 16.755 = 67.02 cubic inches.

Thus option B : 67.02 cubic inches is the needed volume.

Learn more here:

brainly.com/question/1315822

7 0
2 years ago
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