Cory writes the polynomial x^7+3x^5+3x+1. melissa writes the polynomial x^7+5x+10. is there a difference between the defree of the sum and the degree of the difference of the polynomials?

Yes, the degree of sum is differ from the degree of difference.

Step-by-step explanation:

Degree of a polynomial is a highest power of its monomials ( single term).

Here, the given polynomials are,

By adding these two polynomials,

Since, the highest power of x in this result = 7

Hence, the degree of sum of the given polynomials = 7

Now, by subtracting the given polynomials,

Since, the highest power of x in this result = 5,

Hence, the degree of difference of the given polynomials = 5

Thus, both the degree of sum and difference are different.

D- Adding their polynomials together results in a polynomial the degree 7, but subtracting one polynomial from the other results in a polynomial with degree 5.

the height of the surface increases from the center out to the sides of the road

it is c!

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week