False, the upper quartile of a set of data is the median, not the mode
Answer:
60.
Step-by-step explanation:
I guess you mean the LCM (Lowest Common Multiple):
12 = 2 * 2 * 3
30 = 2 * 3 * 5
We see there are duplicate 2's and 3's so:
So the LCM is 2 * 2 * 3 * 5 = 60.
(the duplicates only appear once in the calculation).
Answer:
Increasing on: 
Decreasing on: 
Constant at : x=-1
Step-by-step explanation:
The given absolute value function is 
.
A function is said to be increasing if for all 
, 
From the graph, we can observe that the graph has a positive slope for all x-values less than -1. This implies that the interval of increase is or 
We can also observe that, the slope of this function is negative on the interval: or 
.
At x=-1, the function is neither increasing nor decreasing. We say the function is constant at x=-1
<h3>
Answer: (2x+5)(x+3)</h3>
Explanation:
We have the common factor (x+3) show up for each of the two terms. The first term is 2x(x+3) while the second term is 5(x+3).
For each of the two terms, erase the common factor (x+3) and you'll be left with 2x+5, which is one of the factors in the final answer. The second factor is the common factor (x+3). Together they combine to get us (2x+5)(x+3)
For this case, what we must do is find a point that meets both inequalities.
- <em>y> -2
</em>
- <em>x + y <4
</em>
We have then:
For (0,4):
First inequation:
4> -2 (correct)
Second inequality:
0 + 4 <4 (incorrect)
For (1,4):
First inequation:
4> -2 (correct)
Second inequality:
1 + 4 <4 (incorrect)
For (-3,5):
First inequation:
5> -2 (correct)
Second inequality:
-3 + 5 <4 (correct)
Point (-3,5) is system solution
For (-2,-3):
First inequation:
-3> -2 (incorrect)
Answer:
Point (-3.5) is system solution
