Insert five geometric means between 1/8 and 8. There are supposed to be 2 answers

Step-by-step explanation:

In a geometric sequence, the consecutive terms differ by a common ratio. The formula for determining the nth term of a geometric progression is expressed as

Tn = ar^(n - 1)

Where

a represents the first term of the sequence.

r represents the common ratio.

n represents the number of terms.

From the information given,

a = 1/8

n = 7 terms

Since the last term is 8, then

8 = 1/8 × r^(7 - 1)

Multiplying through by 8, it becomes

64 = r^6

Taking the 6th root of both sides of the equation, then

r = 2

The 5 geometric means would be

1/8 × 2 = 1/4

1/4 × 2 = 1/2

1/2 × 2 = 1

1 × 2 = 2

2 × 2 = 4

The sequence is

1/8, 1/4, 1/2, 1, 2, 4, 8

answer: b. f(x) = (x + 2)^3 (x^2 - 7x + 3)^4

step-by-step explanation:

polynomials always have as many roots as their order. this is a 4th order polynomial- hence 4 roots!

complex roots of polynomials always come in pairs. the quadratic equation has the "+/-" in that will alwaysgenerate m+ni amd m-ni, so 7-2i must be a root of this polynomial equation.

the order of the numerator and denominator are both 2. so the horizontal asymptote is y=a2/b2 =7

verticle asymptotes are the forbidden x-values. f(x) becomes undefined at x=-3 because this value will cause a zero denominator.

a graph of r(x) will have vertical asymptotes at ±1 because these values will make the denominator zero. so the domain of the function cannot include ±1.

you 're wlecome! : )

cretdit to source

on a coordinate grid, point a is at (−4.0, −2.4) and point b is at (4.0, −2.4). point b is a reflection of point a across the –axis. input either a lowercase x or i think is the right awnser

step-by-step explanation: