Answer:
3(x + 4)
-----------------
(x - 4)(x - 1)
Step-by-step explanation:
In problems of this type, factoring is the first step. Once you have the factors, your next step is to reduce wherever possible.
3x + 12 3(x + 4)
----------------- = -----------------
x^2 - 5x + 4 (x - 4)(x - 1)
Unfortunately, none of these factors are cancellable. This factored form is as far as we can go.
With percentages it is useful to know that cent is 100 in Latin. So think of percent as PER-100. So 1.5% is 1.5 per 100. i.e 1.5/100.
To avoid having a decimal as your numerator write it as 3/200
Reasons:
1. Because, MO cuts Angle PMN in two equal parts.
2.As ∠PMN is cut in to equal parts thus:
∠PMN = ∠NMO + ∠PMO, where these two parts (∠NMO, ∠PMO) are equal.
3. Both are the same, common you can say..
4. Because, MO cuts Angle PON in two equal parts.
5. As ∠PON is cut in to equal parts thus:
∠PON = ∠NOM + ∠POM, where these two parts (∠NOM , ∠POM) are equal.
6. From the above statements, we have:
= ∠NMO + ∠PMO (Proved)
= ∠NOM + ∠POM (Proved)
= MO = MO (Proved)
Thus, ∆PMO ≅ ∆NMO, by AAS rule
________________________________
As simpoool as that!
Answer:
1 < x < 4 . . . . {x | x < 4 <u>and</u> x > 1}
Step-by-step explanation:
We want to write the answer as a compound inequality, if possible. As it is written, we can solve each separately.
x + 1 < 5
x < 4 . . . . . . . subtract 1
__
x -4 > -3
x > 1 . . . . . . . add 4
So, the solution is ...
(x < 4) ∩ (x > 1) . . . . . . the intersection of the two solutions
As a compound inequality, this is written ...
1 < x < 4
_____
<em>Comment on the problem</em>
The two answer choices shown don't make any sense. You might want to have your teacher demonstrate the solution to this problem.
