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3 years ago

Use Long Division to answer number 4. Please show all work!

Mathematics

1 answer:

skelet666 [1.2K]3 years ago

4 0

Answer:

2x² + 3x + 4 + (17x + 9) / (x² − 4)

Step-by-step explanation:

Start by setting up the division. Make sure to write all the coefficients, even the zero ones.

x² + 0x − 4 | 2x⁴ + 3x³ − 4x² + 5x − 7

Start by dividing the first term of the dividend (2x⁴) by the first term of the divisor (x²). That's 2x²; it'll be the first term in quotient. Multiply the divisor by 2x²:

2x⁴ + 0x³ − 8x²

Subtract that from the first three terms of the dividend:

3x³ + 4x²

Drop down the next term from the dividend, and start the process all over again.

3x³ + 4x² + 5x

When you finish, the quotient will be 2x² + 3x + 4, and the remainder will be 17x + 9.

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Select the correct answer from the drop-down menu. A whole number is 6 more than 2 times another number. The sum of the two numb

olya-2409 [2.1K]

Answer:

$x = \{13,14\}$

Step-by-step explanation:

Given

$x + 2x + 6 < 50$

Required

True values of x

We have:

$x + 2x + 6 < 50\\$

$3x + 6 < 50$

Collect like terms

$3x < 50-6$

$3x < 44$

Divide both sides by 3

$x < 44/3$

$x < 14.67$

This means that x has a value lesser than 14.67.

Hence, the valid values are:

$x = \{13,14\}$

7 0

2 years ago

How much chromium-51 will be left after 7 months?

Makovka662 [10]

Answer:

It seems there's more information in you question that you haven't posted.

7 months = 7 * (365/12) = 213 days

The half-life of chromium 51 is 27.7 days.

After 7 months, chromium 51 will have undergone 7.69 half-lives.

To solve for the ending amount we'll use the formula:

Ending Amount = Beginning Amount / 2^n where 'n' = # of half-lives

We'll say the beginning amount =1

Ending Amount = 1 / 2^7.69

Ending Amount = 0.0048426082

Basicaly if you started with 1 gram of chromium 51, after 7 months you would have 0.0048426082 grams.

Source: https://www.1728.org/halflife.htm

Step-by-step explanation:

6 0

3 years ago

Mila is a teacher and takes home 31 papers to grade over the weekend. She can grade at a rate of 8 papers per hour. Write a recu

ziro4ka [17]

So mila can do 8 makers in a hour but due to all the the 31 papers she can get done in 4 because 8 times 4 equals 32

8 0

3 years ago

Please help! a rectangle's width is 6 feet less than it's length. write a quadratic function that expresses the rectangles area

Monica [59]

Answer:

B. A( L) = L² - 6L

Step-by-step explanation:

A rectangle has 2 sides, length and width.

length = L

width = L - 6

Area = length × width

= L(L - 6)

= L² - 6L

The correct choice is B.

B. A( L) = L² - 6L

7 0

3 years ago

Read 2 more answers

Simplify each expression <br> 3(m+4)-5m

mash [69]

Answer:

You can start by distributing the 3 to the m+4

(3m + 12)

Now you can add on the -5m and simplify

(3m+12-5m)

-2m+12

3 0

3 years ago

Read 2 more answers

Use Long Division to answer number 4. Please show all work!​

Use Long Division to answer number 4. Please show all work!