What is the vertex of the quadratic function?
х) = (х – 8)(х – 4)
А. (-6,4)
В. (6-4)
с. (-4,8)
D. (4,8)

The vertex is (6, -4)

Step-by-step explanation:

f(x) =(х – 8)(х – 4)

First find the zeros

0 = (х – 8)(х – 4)

0 = x-8      0 =x-4

x=8          x=4

The zeros are x=8 and x=4

The vertex is 1/2 way between the zeros

(8+4)/2 = 12/2 =6

To find the y value, substitute 6 into the function

f(6) = (6-8) (6-4)

     =  -2 (2) = -4

The vertex is (6, -4)

answer: 40392

step-by-step explanation:

10098 x 4 = 40392

(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