arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence

(2x^3+9x^2+x-12)/(x+4) simplify

neonofarm [45]

Answer:

Step-by-step explanation:

$\frac{2 {x}^{3} + 9 {x}^{2} + x - 12}{x + 4}$

Write $9 {x}^{2}$ as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} + x - 12}{x + 4}$

Write X as a sum

$\frac{2 {x}^{3} - 2 {x}^{2} + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out $2 {x}^{2}$ from the expression

$\frac{2 {x}^{2}(x - 1) + 11 {x}^{2} - 11x + 12x - 12 }{x + 4}$

Factor out 11x from the expression

$\frac{2 {x}^{2} (x - 1) + 11x(x - 1) + 12x - 12}{x + 4}$

Factor out 12 from the expression

$\frac{2 {x}^{2}(x - 1) + 11(x - 1) + 12(x - 1) }{x + 4}$

Factor out X - 1 from the expression

$\frac{(x - 1)(2 {x}^{2} + 11x + 12)}{x + 4}$

Write 11x as a sum

$\frac{(x - 1)(2 {x}^{2} + 8x + 3x + 12)}{x + 4}$

Factor out 2x from the expression

$\frac{(x - 1)(2x(x + 4) + 3x + 12)}{x + 4}$

Factor out 3 from the expression

$\frac{(x - 1)(2x(x + 4) + 3(x + 4)}{x + 4}$

Factor out X + 4 from the expression

$\frac{(x - 1)(x + 4)(2x + 3)}{x + 4}$

Reduce the fraction with X + 4

$(x - 1)(2x + 3)$

Multiply the parantheses

$2 {x}^{2} + 3x - 2x - 3$

Collect like terms

$2 {x}^{2} + x - 3$

Hope this helps...

Good luck on your assignment...

4 0

3 years ago

Perpendicular distance between the base of a triangle and the opposite vertex is called _____of the triangle

Solnce55 [7]

Answer:

Median might be the answer or maybe the height?

5 0

3 years ago

Read 2 more answers

Solve by using Elimination.

Alexxx [7]

<h3>Answer:</h3>

It is (3, -1)

<em>Hope this helped :)</em>

6 0

3 years ago

In the figure, s//t Find the m\1<br>will give brainliest

tatiyna

The answer is 115 degrees

8 0

3 years ago

What is the constant rate of change from the graph?

sineoko [7]

Answer:

<u>There is no doubt that the constant rate of change is 47 in the y-axis (Total Savings) for a new value in the x-axis (Number of weeks). The correct answer is A. 47.</u>

Step-by-step explanation:

1. Let's review the trend that the graph is showing us:

(0, 0 )

(1, 47)

(2, 94)

(3, 141)

(4, 188)

(5, 235)

(6, 282)

(7, 329)

(8, 376)

(9, 423)

(10, 470)

<u>There is no doubt that the constant rate of change is 47 in the y-axis (Total Savings) for a new value in the x-axis (Number of weeks). The correct answer is A. 47.</u>

7 0

3 years ago

arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence​

arrange _2 1/2,5 1/2,3 1/2,1 1/2,_1/2in order of increasing size to give a sequence and find the rule which gives the sequence