All categories

2 years ago

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?

Mathematics

1 answer:

valina [46]2 years ago

8 0

Answer:

$x=\frac{b-ac}{a+2} ; a\neq -2$

Step-by-step explanation:

Multiply both sides: by x+c

a(x+c)= $\frac{b-2x}{x+c}$ (x+c)

Simplify: a(x+c)=b-2x

Expand: ax+ac=b-2x

Subtract ac from both sides: ax+ac-ac=b-2x-ac

Simplify: ax=b-2x-ac

Add 2x to both sides: ax+2x=b-2x-ac+2x

Simplify: ax+2x=b-ac

Factor ax+2x: x(a+2)

x(a+2)=b-ac

Divide both sides by a+2: $\frac{x(a+2)}{a+2}$ = $\frac{b}{a+2}$ - $\frac{ac}{a+2}$ ; a≠-2

Simplify: $x=\frac{b-ac}{a+2} ; a\neq -2$

You might be interested in

I really need some help with this, if someone could put in an answer that would be a lot of help!

Black_prince [1.1K]

For the information given, a line segment of 4 inches can be drawn

<h3>How to illustrate the segment?</h3>

For the 'copy', you would measure the line drawn, and duplicate it to the right, measuring it to make sure it is the exact length of the first line.

To bisect the original line segment, measure the line with a ruler or other device, and calculate 1/2 distance from one end, mark it, measure from left end to mark, make sure right section is equal in length.

Draw an angle of 90 degree and label it to avoid confusion. Now use a scale to draw a ray and label the vertex point so we can know the point where to place compass. Use compass to draw an arc on angle. This angle will help you measure where to put the new point on our new angle.

Similarly draw the same arc on the new ray. This is the first step in finding the new point. Then, use compass to measure the difference between the two places where the arc meets the angle on angle.

Furthermore, use the measurements from the previous step to draw another arc. This step is to help establish a point where the two arcs meet. Now draw a point where the two arcs met and drew a line through it.

Learn more about segment on:

brainly.com/question/2437195

#SPJ1

6 0

1 year ago

Using a rule why is = to 3 x + 4 find the value of y when x is 2

Alex73 [517]

X=2 so 2+4=6 so y=6. I just gone ovee this unit aswell.

4 0

3 years ago

Pen are shipped to the office supply store in boxes of 12 each. Write a function rule to calculate the total number of pens when

Tom [10]

p = 12x is the function rule to calculate the total number of pens when you know the number of boxes

Solution:

Given that,

Pen are shipped to the office supply store in boxes of 12 each

To find: Write a function rule to calculate the total number of pens when you know the number of boxes

Let "p" be the total number of pens

Let "x" be the number of boxes

Number of pens in each box = 12

Then from given information,

Total number of pens = Number of boxes multiplied by number of pens in each box

$p = x \times 12\\\\p = 12x$

Thus the function rule is found

6 0

3 years ago

Solve: x2 − x − 6/x2 = x − 6/2x + 2x + 12/x After multiplying each side of the equation by the LCD and simplifying, the resultin

Vesna [10]

The resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

According to the given question.

We have an equation

$\frac{x^{2}-x-6 }{x^{2} } = \frac{x-6}{2x} +\frac{2x+12}{x}$

So, to find the resulting equation of the above equation we need to simplify.

First we will take LCD

$\frac{x^{2} -x - 6 }{x^{2} } = \frac{x -6+2(2x + 12)}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } =\frac{x-6+4x+24}{2x}$

$\implies \frac{x^{2}-x-6 }{x^{2} } = \frac{5x +18}{2x}$

Multiply both the sides by x.

$\frac{x^{2}-x-6 }{x} = \frac{5x+18}{2}$

Again multiply both the sides by x

$2x^{2} -2x-12 = 5x^{2} +18x$

$\implies 5x^{2} -2x^{2} +18x +2x +12 = 0$

$\implies 3x^{2} + 18x+2x + 12 = 0$

Factorize the above equation

⇒3x(x+6)+2(x+6) = 0

⇒(3x + 2)(x+6) = 0

⇒ x = -2/3 or x = -6

Hence, the resulting equation after simplyfing the given equation is 3x^2 + 20x + 12 = 0 and whoose solutions are x = -2/3 or x = -6.

Find out more information about equation here:

brainly.com/question/2976807

#SPJ4

7 0

1 year ago

Please help Please also explain

schepotkina [342]

Answer: it is equal

Step-by-step explanation: you subtract 15-4 which equals 11. the exponent is the only thing being subtracted since it's a fraction. therefore it equals 10(11)

3 0

2 years ago

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?​

If a=b-2x/x+c,then what is the value of x in terns of a,b & c ?