Need in these to math problems 15. factor out the greatest common factor. 30t2u + 12tu2 + 24tu a. 3tu(10t + 4u + 8) b. 6u(5t – 2u + 4) c. 6tu(5t + 2u + 4) d. 2tu(15t + 6u + 12) 16. complete the property of exponents. bn ⋅ bm = a. bn+m b. bn ⋅ m c. bn – m d. bn + bm

Question 1:

For this case we have that by definition, the GCF of two numbers is the largest number that is a factor of both numbers. For example, the number 10 is the biggest factor that 50 and 30 have in common.

We must find the GCF of the following expression:

We look for the prime factorization of each number:

The GCF of the three numbers is

So:

Option C

Question 2:

For this case we have that by definition of power properties of the same base, that:

That is, for multiplication of powers of the same base, the same base is placed and the exponents are added.

So:

Option A

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.