Only numbers that are perfect squares have an odd number of positive factors. all other types of numbers have an even number. so if negative factors are included, then all numbers have an even number of factors.
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Answer:
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Step-by-step explanation:
<span>the football team has 30 more players than the basketball
team, so the number of players on the football team is x= 30 + y.
Then you have to add on the extra ten players to each team so that the ratio
fits. Now the football team is </span>
<span>10 + 30 + y (or 40 + y) and the basketball team is 10
+ y.
Next you need to divide the ratio by its respective parts since a third of the
football team is equal to half of the basketball team. So you end up with this
equation:
(40 + y)/3 = (10 + y)/2
multiply the three over to the other side to cancel it out. Same with
the two. So, now the equation is:
80 + 2y = 30 + 3y
Subtract the 30 from the 80 and the 2y from the 3y and you have your answer: y
= 50.
Go back up to the top where you found out that x = 30 + y and put the 50 in
place of the y, giving you x = 80</span>
Upon formation of an equation from a given pattern, we know how the variables in the patter are related. Using the equation, we can find the value of one of the missing variables if the rest are known and also predict the values of the pattern at given conditions.
An example:
y = 2x + 5
if we are to predict the value of y at x = 3, we simply substitute 3 into x
y = 2(3) + 5
= 11
