1. Simplify the inequality 

2. Separate terms with x and without x in different sides:

3. Add similar terms:

4. Divide by 21.42:

Answer: correct choice is C.
Answer:
see below
Step-by-step explanation:
6 cot ^2 (y) ( sec^2 (y) -1) = 6
We know that ( sec^2 (y) -1) = tan ^2(y)
6 cot ^2 (y) tan ^2 (y) = 6
We know cot = cos/ sin and tan = sin / cos
6 cos/ sin ^2 (y) sin/cos ^2 (y) = 6
6 ( 1) = 6
6=6
<h3>
Answer: Choice B is correct</h3>
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Explanation:
Use a graphing tool like GeoGebra, Desmos, or your graphing calculator to plot each expression given as a separate y equation. Four parabolas should result.
The x intercept is the same as the root or zero of a function.
You should find that only choice B has a root thats larger than 4. That specific root being x = 7.
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A non-graphing approach:
You can use the quadratic formula or the factoring method to find the roots.
For choice A, it factors to (x+5)(x+6) = 0. The roots are x = -5 and x = -6 which aren't greater than 4. So we cross choice A off the list. Choices C and D are similar stories.
On the other hand, choice B factors to (x-7)(x+2) = 0 and it has roots of x = 7 and x = -2. This is another way to see why choice B is the answer.
Here are the steps for the quadratic formula for choice B

The quadratic formula is handy in case factoring is either not possible, or guess-and-check is too lengthy of a process. As you can probably tell, we could use the quadratic formula's results to help construct the factored form.
203/9=22 with a remainder of 5
Answer:
Lcm=18
Step-by-step explanation:
First do prime factorization of 6 and 9
common factor of 6 is 3
and remaining factor is 2×3
Now,
C.F×R.F= 3×2×3
=18