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:
The Answer is D Number line graph with closed circle on 10 and shading to the left. I took the test and got it right.
a number is at most 10 so it could be ten so it is a closed circle. it is shading to the left because no more than than ten
The answer is 2 x 10^4 or 2 to the power of 4 (4th power) where;
2 x 10 x 10 x 10 x 10
2 x 10 =20
20 x 10= 200
200 x 10 = 2000
2000 x 10 = 20 000
Expressing a number to a single digit integer times a power of 10 is also writing a number in scientific form,where the number is multiplied by 10 to nth "power". Scientific notation is also called standard index form whereby, too large or too big numbers.
In writing the scientific notation of a number it follows this form: m x 10^n ( m is multiplied to 10 to the power of n) where, m, the coefficient, is the real number and n is the exponent integer.<span><span /></span>
Answer:
9.000000001
Step-by-step explanation:
If the hypotenuse is 15, the ladder, facing the right angle, and the opposite is 12 we need to use SOH to find the angle.
sin of angle is opposite / hypotenuse
sin of angle is 12 / 15
12/15 = 0.8
sin^-1 of 0.8 = 53.13010235
Angle is that
Then we do this again but a different equation
cos of angle is adjacent (x which we are looking for) / hypotenuse
cos of 53.13... is x / 15
(15 x cos of 53.13... )is x
So 15 x cos of 53.13... is 9.000000001 feet away.