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3 years ago

Complete factorization of x^3+4x^2-20x-48

Mathematics

1 answer:

miskamm [114]3 years ago

5 0

Answer:

(x + 6) • (x + 2) • (x - 4)

Step-by-step explanation:

STEP

Equation at the end of step 1

(((x3) + 22x2) - 20x) - 48

STEP

Checking for a perfect cube

2.1 x3+4x2-20x-48 is not a perfect cube

Trying to factor by pulling out :

2.2 Factoring: x3+4x2-20x-48

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: x3-48

Group 2: 4x2-20x

Pull out from each group separately :

Group 1: (x3-48) • (1)

Group 2: (x-5) • (4x)

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Given that y varies inversely as x, and y = 8 when x = 3, what is the value of y when x = 12?

NeTakaya

Answer:

y = 2 when x =12

Step-by-step explanation:

y = k/x ..............as y varies inversely as x

8 = k/3

k = 8 * 3

k = 24

So,

y = k/x

y = 24/12

y = 2

3 0

2 years ago

Read 2 more answers

Debbie has at most $60 to spend on a clothes she wants to buy a pair of jeans for $22 and spend the rest on t-shirts each t-shir

patriot [66]

The inequality to find the maximum number of t-shirts is:

$22+8x\leq 60$

Step-by-step explanation:

Debbie has at most $60 to spend

Then it will be <=60

Now she has to spend 22 dollars on jeans so 22 will be add to the initial amount for sure.

And

Let x be the number of t-shirts

Then the cost of x t-shirts will be 8x

Putting this in to inequality will be:

$22+8x\leq 60$

The inequality to find the maximum number of t-shirts is:

$22+8x\leq 60$

Keywords: Inequality

Learn more about inequalities at:

#LearnwithBrainly

7 0

3 years ago

If y = 124 and x = 12, find y when x = -24.

tatyana61 [14]

Answer:

y = -248

Step-by-step explanation:

Hi there!

Set up a proportion:

$\displaystyle\frac{124}{12} =\frac{y}{-24}$

Cross-multiply:

$12y=(-24)(124)\\12y=-2976\\y=-248$

I hope this helps!

7 0

2 years ago

Nathan shares out 12 sweets he gives yasmin 1 sweet for 3 sweets he buys how many sweets does nathan get

Yuri [45]

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

<h3>How many sweets does Nathan gets?</h3>

Given that, Nathan shares out 12 sweets, he gives Yasmin 1 sweet for 3 sweets he buys.

Let the sweet be represented by x

For each x sweet for Yasmin, Nathan gets 3x sweets

Hence

x + 3x = 12

We solve for x

4x = 12

x = 12/4

x = 3

Hence;

Yasmin gets x sweet = 3

Nathan gets 3x sweets = 3 × 3 = 9

Given that, Nathan shares out 12 sweets, if he gives Yasmin 1 sweet for 3 sweets he buys, Nathan will get 9 sweets.

Learn more word problems here: brainly.com/question/14539651

#SPJ1

6 0

2 years ago

What is 2 1/8 take away 1/2

goblinko [34]

The equation is $2\frac{1}{8} - \frac{1}{2}$ .

1/2 is equivalent to 4/8, and 2 1/8 is equal to 17/8. (two full sets of 8 + 1 = 8 + 8 + 1, or 17)

The new equation is $\frac{17}{8} -\frac{4}{8}$ . Subtract the numerators.

17 - 4 = 13 or 13/8

The improper fraction $\frac{13}{8}$ simplifies to $1\frac{5}{8}$ .

<h2>Answer:</h2>

$1\frac{5}{8}$

Hope this helps :)

5 0

3 years ago