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finlep [7]
3 years ago
10

What is the quotient when 2x^3-1 is divided by x - 1?

Mathematics
1 answer:
andrey2020 [161]3 years ago
4 0

Answer:

Step-by-step explanation:

Use synthetic division:

The coefficients of 2x^3 - 1 are {2, 0, 0, -1}.  Setting up synthetic division, we get:

1    /    2    0    0    -1

                2     2    2

    ---------------------------

          2     2    2     1

Note that the remainder is 1.  The same result would be obtained through long division.

The quotient is 2x^2 + 2x + 2 with a remainder of 1.  

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Find all the powers of 4 in the range 4 Through 1000
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(4⁰  =  1  too small)

4¹  =  4

4² = 16

4³ = 64

4⁴ = 256

(4⁵ = 1,024  too big)

7 0
3 years ago
Read 2 more answers
Laura goes to a bank and opens a new account. She deposits $5,500. The bank pays 1. 6% interest compounded annually on this acco
HACTEHA [7]

The amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

<h3>How to calculate compound interest's amount?</h3>

If the initial amount (also called as principal amount) is P, and the interest rate is R% per unit time, and it is left for T unit of time for that compound interest, then the interest amount earned is given by:

CI = P(1 +\dfrac{R}{100})^T - P

The final amount becomes:

A = CI + P\\A = P(1 +\dfrac{R}{100})^T

For the considered case, we're given that:

  • Initial amount Laura deposited = $5,500 = P
  • Type of interest: Compound interest
  • Unit of time: Annually
  • Rate of interest = 1.6% annually = R
  • Total unit of time for which amount is to be calculated: 4 years = T

The final amount at the end of 4 years in the considered account of Laura is evaluated as:

A = 5500(1 + \dfrac{1.6}{100})^4 = 5500(1.016)^4  \approx 5860.53 \: \rm (in \:  dollars)

Thus, he amount that is the closest to the account balance at the end of 4 years is given by: Option B: $5,860. 53 (approx)

Learn more about compound interest here:

brainly.com/question/11897800

5 0
2 years ago
1651.43 rounded to the nearest hundred
ikadub [295]

Answer:

1600

Step-by-step explanation:

5 0
3 years ago
Two angles of a quadrilateral measure 150 degrees and 105 degrees the other two angles are in a ratio of 3:4 what are the measur
iragen [17]

Answer:

First angle is 45 and the second angle is 60

Step-by-step explanation:

150 + 105 = 255

360 - 255 = 105

the ratio is 3:4 I add the ratio so 7

105 / 7 = 15

The first angle with the ratio of 3 is 15 x 3 = 45

The second angle with the ratio of 4 is 4 x 15 = 60

7 0
3 years ago
Fill in the blanks thanks
Mademuasel [1]

Answer:

Um threre is no blanks or there is no question.

Step-by-step explanation:

5 0
3 years ago
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