Answer:
x=-3
Step-by-step explanation:
-4x-10 < 2
+10 +10
-----------------
-4x<12
---- ---
-4. -4
x=-3
Answer:
Option C
Step-by-step explanation:
When you put the write the scenario in an equation, it'll look like
(5q+3)(5q-3) for the new width times the new length
Factor these, and you shall get 25q^2+15q-15q-9. Simplify that into
25q^2-9
Answer:
The rate is 1 ÷ 2 yards per hour
Step-by-step explanation:
The computation of the rate does the amount of yarn changes is given below:
= 3 3 ÷ 4 - 1 1 ÷8
= 15 ÷ 4 - 9 ÷ 8
= 21 ÷ 8 yards
Now divide the above fraction by the number of hours
= 21 ÷ 8 yards ÷ 5 1 ÷ 4
= 21 ÷ 8 × 4 ÷ 21
= 1 ÷ 2 yards per hour
Hence, the rate is 1 ÷ 2 yards per hour
The same would be relevant
Answer:
Correct factorization: (x+2)(x+3)(x-3)
Step-by-step explanation:
The given 4 term polynomial is:
Part a) Jay's Mistake:
Factorization of Jay was:
Though this expression will simplify to original given expression but this is not the complete and final factorization. The second factor which is x² - 9 can be factored further, which is shown in the next part.
Part b) Complete Factorization
In order to factor a 4 term expression of the type given in the question, the first step is to take the common from similar terms. You might need to re-arrange the terms before taking common in some case. Taking commons from the given expression, we get:
Jay stopped at this step. At this step you need to look if any part of the expression can be factored further. Luckily, in this case x² - 9 can be factored further as its a difference of perfect squares:
x² - 9 = x² - (3)² = (x + 3)(x - 3)
Using these factors of x² - 9 in previous expression, we get:
This is the final factored form of the given 4 term expression as it can not be factored further in any way.
Answer:
11/40 + 1/4 + 1/20
Step-by-step explanation:
Draw a Venn diagram: (as shown)
Consumer Ed. : 22-4=18
French : 20-4=16
Neither : 80-18-16-4=42
Using probability notation where P(A) means probability of event A occurring.
P(Consumer Ed.) = 22/80
P(French) = 20/80
P(Both) = 4/80
<em>'or ' </em>in the question means you add.
=> 22/80 + 20/80 + 4/80
=> 11/40 + 1/4 + 1/20