Use the rational roots test. The possible roots are: plus/minus 6,3,2,1
Use synthetic division and you will see that 3 is a root:
3 | 1 -3 -3 11 -6
| 3 0 -9 6
____________
1 0 -3 2 0
Use rational root again, to see that possible roots are: plus/minus 2,1
Try 2:
2 | 1 0 -3 -2
| 2 4 2
_____________
1 2 1 0
The above is x^2+2x+1 which is a perfect square: (x+1)^2
So we have the final factorization: (x-3)(x-2)(x+1)^2
So the roots are: 3, 2, -1
Where -1 is a double zero.
Jason earns 680$ in 40 hours.
Step-by-step explanation:
- Property used to solve this problem is <em>Algebra.</em>
- Jason earns <em>17$</em> which is fixed earning irrelevant of hours.
- hours is variable which means <em>n</em>.
- how much will he earn = 17 * number of hours (n).
- For n = 1, amount of money he would earn = 17 *1 = 17$
- For n =2, amount of money he would earn = 17 *2 = 34$
- For n = 3, amount of money he would earn = 17*3 = 51$
- For n = 40, amount of money he would earn =17*40 = 680$
- Algebra is branch of mathematics which help in puzzles and many problems from day to day life.In Algebra letters stands numbers and there operations can be done in the numbers.
Answer is $72.00
Reason
We know cost is $60
We know profit percent is 120%
So 60x 120% = $72 marked price
The probability is 7/10 or 70% that a randomly selected student does not receive some form of government-sponsored financial aid
Total number of students in the small private college = 800
Number of students who receive some form of government-sponsored financial aid = 240
Number of students who did not receive government-sponsored financial aid = 800 - 240 = 560
Computing the probability using the formula, we get the following:
The probability that a randomly selected student did not receive government-sponsored financial aid = Number of students who did not receive financial aid/Total number of students in the college
= 560/800 = 7/10 or 70%
Learn more about probability:
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The correct answer is: <span>180°
Explanation:
Let's consider each angle one by one:
</span><span>45°: If we rotate the above figure by </span>45°, it will not map onto itself; rather it will make <span>45° angle with the correct figure.
</span>90°: If we rotate the above figure by 90°, it will be perpendicular to the given figure.
180°: If we rotate the above figure by 180°, it will map onto itself exactly.
360°: If we rotate the above figure by 360°, it will map onto itself exactly.
However, as the question is about the least angle, hence, in this case, the correct answer is 180° (since 180° < 360°).
