Answer:
14 +11i
Step-by-step explanation:
The product of binomials is found in the usual way, except that i² = -1.
(1 -3i)(2 +5i) -(3 -12i)
= (1·2 +1·5i -3i·2 -3i·5i) -3 +12i
= (2 +15 -3) +i(5 -6 +12)
= 14 +11i
Answer:
6720
Step-by-step explanation:
The writing 8P5 represents the number of permutations of 8 elements taken 5 at a time.
<u></u>
<u>First Method</u> :
8P5 = 8 × 7 × 6 × 5 × 4
= 6720
<u>Second Method</u> :
Answer:
15
Step-by-step explanation:
A linear equation represents a straight line.Thus, the solution of the system of linear equation depends on whether the lines intersect, not intersect or same line.
We have below cases:-
- The lines are non parallel and intersect at exactly one point. In this case we have one solution.
- The lines are parallel and hence never intersect. There is no solution in this case.
- The two lines represents the same line. Hence, infinitely many solutions.
We never got exactly two solutions because two lines can intersect at a single point.
<u>Representatives: This means that a certain amount of people would constitute what the majority would think too.
</u>1) Tina interviews the school's soccer team about the exercise habits of the students at her school. (implying all the students). This means that Tina only goes to the soccer team instead of the whole school to find out the whole school's exercise habit.
<u></u>2) Alana also counts as representatives, because she did not interview ALL of the teachers, rather just a selected majority (in this case)
5) For Jeremy, he only interviews 5 students from each class rather than all students<u>
Not Representatives: Each person is given a choice of opinion and does not affect other people.
</u>3) Joe talks to fathers of high school students, which could be larger than just 'representatives', and implies a larger group of people, and is not as selective as having representatives
<u />4) Social Media constitutes of a large group of people, generally larger than a school, and if people take time to take the survey, it will generate a larger test-group. Also, everybody answering the survey would take time to think about themselves, and only represent themselves, and not others.
hope this helps
