Answer:
B. (-3x-6i)(x+2i)
C. (-3x-6i)(x+2i)
Since they are the same answer choice. Should be (-3x-6i)(x-2i) should be the correct answer.
Step-by-step explanation:
The polynomial -3x^2-12 can be factored using GCF into -3(x^2+4).
x^2+4 is a sum of squares and factors into the form (x+ai)(x-ai).
x^2+4 factors into (x+2i)(x-2i).
We put them together and have -3(x+2i)(x-2i) = (-3x-6i)(x-2i)
Answer:
8
(
x − 7
) (
x + 4
)
Step-by-step explanation:
This is a classic example of where you would need to use the process of elimination. Let's start with answer A, 3 classes.
If A were to be correct, 3 classes of 45 minutes each would be 132 greater than the amount he paid, 3 classes worth $12. We could easily express this as a math equation:
45 * 3 = 132 + (12 * 3) Then, all you would have to do is simplify:
135 = 132 + 36
135 = 168
Obviously this equation isn't true, and you can continue with answer choice B.
But wait... there's a better way. Using this starting equation, we can come up with a formula to solve for c, the number of classes. Let's take our starting equation:
45 * 3 = 132 + (12 * 3) Now, let's turn all the 3s into cs.
45c = 132 + 12c Then, using algebra, we can solve this equation.
-12c - 12c
33c = 132
33c/33 = 132/33
c = 4
And finally, we have our answer, B! I hope both methods help you in your further studies.
The question is incomplete. The complete question is :
Members of a research team are considering three studies related to sleep and learning. The first study involves comparing the scores on a post-study test of learning from two groups of randomly chosen adults, with one group getting at least 7 hours of sleep per night for a week and the other group getting at most 6 hours of sleep per night for a week. A second study involves asking a random sample of students at a large university to report the average number of hours of sleep they get each night and their college grade point average. A third study involves asking a random sample of high school students in a large school district whether they feel they get enough sleep to stay alert throughout the school day.
Which study appears to look for an association between two variables without actively manipulating either one. What are those variables ?
Solution :
The second study in the context is involved in asking for a random sample of the students at an university to provide a report the average hours of sleep that everybody get each night and also the grade point of their college appears for association between these two variables without actively changing either of one.
These variables are the grade point average of the students and the numbers of hours of sleep.
Answer:
0.03844
Step-by-step explanation:
0.62*6.2%
=0.62*0.062
=0.03844
