Since it's so nicely grouped, we can work with it! For the equation to equal 0, x=0, 3, or -1 (since x-3 and x+1 equal 0 when plugged in with 3 and -1 respectively). All we have to do is plug in numbers before, between, and after these numbers and apply it to the rest of them. Since -1 is the smallest number of the group, we can plug in a number below that (for this example, -5) and plug it in to get -8*-5*-4= something negative since it contains an odd number of negative numbers. Therefore, anything less than 1 is negative. For between -1 and 0, we get x=-0.5 equals -0.5*-3.5*0.5=something positive (since it has an even amount of negative numbers), proving that everything between -1 and 0 here is positive. For something between 0 and 3, we can plug 1 in to get 1*-2*2= something negative. Do you see a pattern here? It's negative, then positive, etc.. Therefore, if the number is greater than 3 it is positive. Reviewing a bit, we can see that (-inf, -1) is negative as well as (0,3), making the interval notation (-inf, -1) U (0, 3) since when you plug -1, 0, and 3 in it is 0, not less than 0!
Answer:
3/13(shade in 3)
Step-by-step explanation:
Make 52 denominators because it's of all cards. Next, find how many face cards there are for the numerator(3x4 since there are 3 face cards for each set and there are 4 sets) this gives you 12 and your fraction is now 12/24
Simplify that to above answer
Answer:
Step-by-step explanation:
1. This paragraph describes an observational study.
It is not a controlled experiment because the guidance counselors didn't plan to separate the students into 2 groups and then observe the results. They instead checked records.
2. The students who took Latin are the treatment group.
3. The fact that students decided on their own to take Latin is a confounding factor.
4. The students who did not take Latin are the placebo or control group.
Answer:
10
Explanation:
The two shortest sides = the longest side
So I’m this case, the two shortest sides are 7 and 3, which are shown.
Then add:
7 + 3 = 10
If the number k is greater than 3, we have the following inequality:

In order to evaluate k/3, let's divide the inequality by 3:

So the expression k/3 is greater than 1, therefore the correct option is D.