Answer:
3x² – 2x – 8
=> 3x² – 6x + 4x – 8
=> 3x( x – 2 ) + 4( x – 2 )
=> ( 3x + 4 ) ( x – 2 )
Therefore,
Either, 3x + 4 = 0
3x = - 4
x = - 4/3 (Ans)
And,
x – 2 = 0
x = 2 (Ans)
Answer:
Below in bold.
Step-by-step explanation:
2/5 x - 1/7 x = 36
14/35 x - 5/35x = 36
9x / 35 = 36
x = 35*36 / 9
x = 35*4 = 140 (answer).
Isolate x
So xy - 2 = k
Then
xy = k + 2
x = (k+2)/y
Hi there,
This is the original inequality equation:

So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.

Now, we multiply both sides by x + 1:

Then, we multiply both sides by x - 1:

Next, we subtract x² from both sides:

After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1 </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1 </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0 </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1 </span><span>(Works in original inequality)
Therefore, the answer to your query is
-1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
Answer:
3x-2y=6
Step-by-step explanation:
Subtract 3x from both sides of the equation
Divide each term by −2 and simplify.
y=-3+
Rewrite in slope-intercept form
y=
Use the slope-intercept form to find the slope and y-intercept.
Find the values of m and b using the form y=mx+b


The slope of the line is the value of m, and the y-intercept is the value of b.
Slope: 
y-intercept: -3
Any line can be graphed using two points. Select two x values, and plug them into the equation to find the corresponding y values.
Choose 0 to substitute in for x to find the ordered pair.
(0,−3)
Choose 1 to substitute in for x to find the ordered pair.

Graph the line using the slope and the y-intercept, or the points.
slope:
y-intercept:-3