Find the gcf of 15y^3 and -20y. explain how to do this type of problem.

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5y

Step-by-step explanation:

First find all the factors of 15y^3 and then all the factors of -20y

15y^3 = 3 , 5 , y,  y,  y

-20y = 2 , 4,  5, 10, y

The GCF is 5 and y. We choose 5 because it is the greatest number and common in both sets. We also choose one y because it is common in both sets and one y is the greatest common y.

Answer = 5y

You can also do this by using the prime factorization method.

GCF will be 5y

Step-by-step explanation:

First of all the negative signs will be excluded when finding the GCF. The GCF is calculated by multiplying together the highest power of each of the common factors.

15^3 can be split into,

3*5*y*y*y.

-20y into,

2*4*5*10*y.

We will choose 5 as it is the greatest common number in both sets and choose y as it is also common in both sets.

So, the GCF will be 5y.

step-by-step explanation:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

step-by-step explanation:

given that megan owns a clothing boutique.

the profits of 2010, 11, are recorded and shown as follows:

years since     2010 0     1     2     3       4       5

profits made in 1000's   39       84     111     120   111     84

we find that profit gradually increases form 2010 to 2013 upto 120,   then starts decreasing.

the profits for 2012 and 2014 are the same while that of 2011 and 2015 are also the same.

this shows that there is symmetry about the line profit = 120000

hence answer is:

a.   since the profit made in 2012 is equal to the profit made in 2014, the profit is           symmetric about the line y = 120,000.

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