Answer:

Step-by-step explanation:
We need to factor out numerator and denominator in order to simplify the rational expression by cancelling common factors.
Numerator : x^3 - 4 x = x (x^2 - 4) = x (x - 2) (x + 2)
Denominator (factoring by grouping):
x^2 - 5 x + 6 = x^2 - 3 x - 2 x + 6 = x (x - 3) - 2 (x - 3) = (x - 3) (x - 2)
Then we can cancel out the common factor (x - 2) in both numerator and denominator, leading to:
x (x + 2) / (x - 3) = (x^2 + 2)/ (x-3)

Answer:
slope=-12
Step-by-step explanation:
slope =y2-y1/x2-x1
5-17/-1-(-2)
-12/-1+2
-12/1
-12
3+2g=5g-9
5g-2g=3+9
3g=12
3g/3=12/3
g=4
Answer:
First "order of operations" mistake: step 2
First arithmetic mistake: step 4
Step-by-step explanation:
As we understand Rena's work, she wants to simplify ...

for x = -1 and y = 2.
Her work seems to be ...
<u>Step 1</u>

<u>Step 2</u>

<u>Step 3</u>

<u>Step 4</u>

_____
So, the first arithmetic error is in Step 4. However, the order of operations requires exponents be evaluated first. Doing that makes step 2 look like ...

__
We expect your answer is supposed to be Step 4.
Answer:
d.every word in the first sentence of the first page of every chapter.
Step-by-step explanation
- the sample space means the set of total possible outcomes or ALL possible outcomes.
- so here, the situation is about the teacher reading a sentence.
- the favorable outcome is the set which has all the words that the students would not know from all the words read by the teacher or simply from the sample space.
- since the teacher reads the first sentence on the first page in every chapter , all the words in that sentence will be sample in this situation.