Ask question

Ask question

All categories

3 years ago

6

What is the simplified form of 3 over 4x plus 3 + 21 over 8 x squared minus 14x minus 15 ?

1 answer:

Natasha2012 [34]3 years ago

5 0

3/(4x+3) + 21/(8x^2-14-15)

The LCD is )(4x+3)*8x^2-14x-15).

Multiply each fraction by the LCD.

[3(8x^2-14x-15)+21(4x+3)]/LCD

Simplify the numerator.

(24x^2+42x+18)/LCD

Factor numerator.

[6(4x+3)(x+1)]/(4x+3)(8x^2-14x-15)

Factor (8x^2-14x-15).

[6(4x+3)(x+1)]/(4x+3)(4x+3)(2x-5)

[6(4x+3)(x+1)]/(4x+3)^2(2x-5)

Cancel out common terms in the numerator and denominator.

Answer:

6(x + 1)/(2x - 5)(4x + 3)

You might be interested in

Determine the midpoint between the points (-5, -3) and (-1, 1).

AfilCa [17]

Answer:

(-3,-1)

Step-by-step explanation:

The difference in the x coordinate is 4 and 4 for the y. Add 2 to the x and y from the first coordinate

(-3,-1)

3 0

4 years ago

Read 2 more answers

Rewrite using standard notation: 2.43 × 104

Zepler [3.9K]

24300 :) that's the answer

4 0

3 years ago

What is 60 rounded to the nearest cent

Ainat [17]

Its 701 im in 8th grade. And i had to do this stuff

7 0

4 years ago

Read 2 more answers

Segment AB has and endpoint at A (2,5) and a mod point at M (4,0), find the other endpoint (B).

steposvetlana [31]

Answer:

The other endpoint B= (6, -5)

Step-by-step explanation:

Given:

One end point A= (2,5)

Mid point M = (4,0)

To Find:

The Other point =?

Solution:

According to midpoint formula, if (x1, y1) and (x2, y2) are two ends of a line then it’s midpoint is given by :

$M(x,y)= \frac{x1+ x2}{2} ,\frac{y1+ y2}{2}$

Using the above formula

$4=\frac{2+x_2}{2}$ ..................................(1)

$0=\frac{5+y_2}{2}$ ..................................(2)

Solving equation(1)

tex]8=2+x_2[/tex]

$x_2=8-2$

$x_2=6$

Solving equation(2)

$0\times 2=\frac{5+y_2}{2}$

$0=5+y_2$

$-5=y_2$

Thus $x_2=6$ and $y_2 =-5$

6 0

3 years ago

A manufacturer has designed a process to produce pipes that are 10 feet long. The distribution of the pipe length, however, is a

Nata [24]

I think the answer is D

7 0

4 years ago