What is the sum of the rational expressions below? 2x-1/7x + x/x-2

2 answers:

6 0

X-4/2x=3x/2x-1 (invert the bottom and then multiply)
x-4 (2x+3x/2x-1) ( the 2x's cancel) 
x-4 (3x/-1) 
x-4 (-3x) (expand) 
-3x^2 + 12x=0 
-3x^2= -12x (bring 12x to other side making it negative) 
-3x^2/3x= -12x/-3x (divide both sides by -3x) 
x=4 
Hope that helps

Angelina_Jolie [31]3 years ago

5 0

$\frac{2x-1}{x} + \frac{x}{x -2} = \frac{(2x-1)(x-2) +(x)(7x)}{(7x)(x-2)}$

You know the first term of the numerator wil be 2x^2 +7x^2 = 9x^2, and the last term of the denominator will be 7x(-2) = -14x.

This is sufficient work to identify selection B as the correct choice.

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krek1111 [17]

Here are a couple I found:

Similarities:

They have the same y-intercept of (0,5).
They are both in slope-intercept form.

Differences:

The line of y = -13x + 5 "falls" from left to right. The line of y = 2x + 5 "rises" from left to right.
They have different x-intercepts. (y = 2x + 5 intersects (- $\frac{5}{2}$ , 0) while y = -13x + 5 intersects at ( $\frac{5}{13}$ , 0)

Explanation:

Slope-intercept form is y = mx + b, and by looking at the equations, they both already fit that format, with m as their slope and b as their y-intercept. Also, since they both have a 5 as that "b," their y-intercepts are the same: (0,5).

As for differences, we can see that the coefficient in place of that "m" is positive in y = 2x + 5 and negative in y = -13x + 5. Therefore, one line would rise due to their slope being positive and one would fall due to their slope being negative. They also have two different x-intercepts, which we can calculate by substituting 0 in place of the y, then isolating x.

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Write the equation of the line that passes through the points (0,8) and (-1,-4).

Anettt [7]

Step-by-step:

Use slope formula to find the slope. (y - y)/(x - x)

Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So

8 - -4 goes on top, that's 12

0 - -1 goes under, thats 1

12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.

y - y = m(x - x)

y - 8 = 12(x - 0)

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Fiesta28 [93]

Hi!

So for this problem, we're given the y-coordinate and we can plug that in for y in the equation. So let's do that

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The missing coordinate would be x, assuming that the equation was y = (-3/5)x - 7

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Answer:

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