Factor the expression below x^2+16x+64 a) (x-4)(x-16) b) (x-8) (x-8) c) (x+8) (x+8) d) (x+4) (x+16)

You must remember that a polynomial is written like so...

ax^2 + bx + c

In this case...

a = 1

b = 16

c = 64

To factor you must find two numbers who both add up to b (16) AND multiply to c (64)

8 + 8 = 16

8 * 8 = 64

so...

C) (x + 8)(x + 8)

Hope this helped!

~Just a girl in love with Shawn Mendes

(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