You get everything you need from factoring the last expression:
The left side is a difference of squares, and we get another difference of squares upon factoring. We end up with
Plug in everything you know and solve for :
Answer :
<h3>
<u>
=1048576 ways </u>
a student can answer the questions on the test if the student answers every question.</h3>
Step-by-step explanation:
Given that a multiple-choice test contains 10 questions and there are 4 possible answers for each question.
∴ Answers=4 options for each question.
<h3>
To find how many ways a student can answer the given questions on the test if the student answers every question :</h3>
Solving this by product rule
Product rule :
<u>If one event can occur in m ways and a second event occur in n ways, the number of ways of two events can occur in sequence is then m.n</u>
From the given the event of choosing the answer of each question having 4 options is given by
The 1st event of picking the answer of the 1st question=4 ,
2nd event of picking the answer of the 2nd question=4 ,
3rd event of picking the answer of the 3rd question=4
,....,
10th event of picking the answer of the 10th question=4.
It can be written as by using the product rule
<h3>∴ there are 1048576 ways a student can answer the questions on the test if the student answers every question.</h3>
3.01 as a mixed number is 3 and 1/100
It is 1/100 because the 1 is in the hundredths place
Answer:
1/2 + 3i is the midpoint between -2-3i and 3+9i.
Step-by-step explanation:
Given the complex number
The formula to find the midpoint of two complex number (a + bi) and (c + di) is:
Therefore, 1/2 + 3i is the midpoint between -2-3i and 3+9i.
Answer:
Incorrect. 1 solution.
Step-by-step explanation:
Mark is incorrect because to find x from 8x=48 you must perform the following steps:
Divide the 8 from both sides resulting in
x=6