The table represents the start of the division of 8x^4+2x^3-7x^2+3x-2 by the indicated divisor. Find the quotient.

Answers

Answer 1

Answer: Answer: 2x² + x - 2 (the first option)

Explanation:

1) Question: divide 8x⁴+2x³-7x²+3x-2 by 4x² - x + 1

2) First term of the quotient

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
                                       ---------------------
-8x⁴ + 2x³ - 2x²                   2x²
----------------------------------
           4x³ - 9x² + 3x - 2

3) Second term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
                                       ---------------------
-8x⁴ + 2x³ - 2x²                   2x² + x
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ + x² -   x
        ----------------------------
                  - 8x² + 2x - 2

4) third term of the quotient:

8x⁴ + 2x³ - 7x² + 3x - 2 | 4x² - x + 1
                                       ---------------------
-8x⁴ + 2x³ - 2x²                   2x² + x - 2
----------------------------------
           4x³ - 9x² + 3x - 2
          -4x³ + x² -   x
        ----------------------------
                  - 8x² + 2x - 2
                    8x² - 2x + 2
                 -------------------------
                             0

5) Conclusion: since the remainder is 0, the division is exact and the quotient is 2x² + x - 2

You can verify the answer by multiplying the quotient obtained by the divisor. The result has to be the dividend.

Answer 2

Answer:

Answer:

Answer: 2x² + x - 2 (the first option)

Step-by-step explanation:

got it right on quiz

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Solve for x. x - 1 2 = 4

23.5 in expanded form164.38 in expanded form
209.106 in expanded form

can you help me

Answers

Answer:

+ 3

+ 0.5

100

+ 60

+ 4

+ 0.3

+ 0.08

200

+ 0

+ 9

+ 0.1

+ 0.00

+ 0.006

Step-by-step explanation:

Hope this helps :D

Answer:

23.5 in expanded form is: 20 + 3 + 0.5

164.38 in expanded form is: 100 + 60 + 4 + 0.3 + 0.08

209.106 in expanded form is: 200 + 0 + 9 + 0.1 + 0.00 + 0.006

Step-by-step explanation:

Show the value of each digit when writing in expanded form. Use plus signs (+) between the values. Knowing the definition of expanded notation can help. Expanded notation means:

"Writing a number to show the value of each digit. It is shown as a sum of each digit multiplied by its matching place value (ones, tens, hundreds, etc.)."

Helen rolls a dice and flips a coin.Calculate the probability that she gets a 4 and a tail.

Answers

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

Multiply them

Answer:

1/12

Step-by-step explanation:

Probability of 4 = 1/6

Probability tail = 1/2

1/6 x 1/2 = 1/12

How much wrapping paper would you need to cover a rectangularbox that is 19 inches by 12 inches by 3 inches if you need 10% more
wrapping paper than the surface area of the box? Give your answer
to the nearest square inch.

PLEASE HELP T-T

Answers

Step-by-step explanation:

a box (like a "deformed" die) has 6 sides.

and in case of such a rectangular box there are 3 pairs of equal sides.

the area of each side is a rectangle.

top and bottom : 19×12 times 2

front and back : 19×3 times 2

left and right : 12×3 times 2

so, we get

19×12×2 + 19×3×2 + 12×3×2 = 642 in²

and now, we need 10% more.

10% = 642/10 = 64.2 in²

the total is then

642 + 64.2 = 706.2 ≈ 706 in²

Please help me with my math!!!!!!!!!

Answers

12.8 km per hour

51.2 km in 4 hours

A survey among students at a certain university revealed that the number of hours spent studying the week before final exams was approximately normally distributed with mean 25 and standard deviation 6. What proportion of students studied between 25 and 34 hours

Answers

Answer:

$P(25<X<34)=P((25-\mu)/(\sigma)<(X-\mu)/(\sigma)<(34-\mu)/(\sigma))=P((25-25)/(6)<Z<(34-25)/(6))=P(0<z<1.5)$

And we can find this probability with this difference:

$P(0<z<1.5)=P(z<1.5)-P(z<0)$

And in order to find these probabilities we can use tables for the normal standard distribution, excel or a calculator.

$P(0<z<1.5)=P(z<1.5)-P(z<0)=0.933-0.5=0.433$

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".

Solution to the problem'

Let X the random variable that represent the hous spent studying the week before final exams of a population, and for this case we know the distribution for X is given by:

$X \sim N(25,6)$