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Describe the Sample of Exponents ?
Imagine, for example, that you are the P.E. coach at your school, and you need to divide one of your classes into teams. Your team has 45 students in it. You want at least 2 but no more than 9 people on each team, and each team must have an equal number of players. How many teams can you create?
Step 1: Make a table showing which numbers between 2 and 9 go into 45 without a remainder.
Test Numbers Test Evenly Divisible?
Test Numbers
Test
Evenly Divisible?
2
(45 / 2) = 22 R 1
No
3
(45 / 3) = 15
Yes
4
(45 / 4) = 11 R 1
5
(45 / 5) = 9
6
(45 / 6) = 7 R 3
7
(45 / 7) = 6 R 3
8
(45 / 8) = 5 R 5
9
(45 / 9) = 5
By the method of completion of squares show that the equation 4x 2 +3x +5 = 0 has no real roots. Ans: 4 x 2 +3 x +5=0 ⇒ x 2 + 3/4 x + 5 = 0 ⇒ x 2 + 3/4 x +
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