25 POINTS The table shows values for functions f(x) and g(x)

What is the solution to f(x)=g(x)
Select each correct answer

X= -3
X= -2
X=-1
X=0
X=1
X=2
X=3

we conclude that at x = -2 and x = -1, the value of f(x) = 2⁻ˣ  and g(x) = -2x is the same.

Therefore, the solution to f(x) = g(x) is:

x = -2

x = -1

Step-by-step explanation:

Given the table

x                f(x) = 2⁻ˣ                g(x) = -2x

-3                   8                                    6

-2                  4                                     4

-1                    2                                    2

0                    1                                     0

1                     1/2                                 -2

2                     1/4                                -4

3                     1/8                                -6

If we carefully observe, we can determine that

at x = -2, the value of f(x) = 2⁻ˣ  and g(x) = -2x is the same.

In other words,

at x = -2

Thus,

at x = -2

f(x) = g(x)

Also  at x = -1, the value of f(x) = 2⁻ˣ  and g(x) = -2x is the same.

In other words,

at x = -1

Thus,

at x = -1

f(x) = g(x)

Summary:

Thus, we conclude that at x = -2 and x = -1, the value of f(x) = 2⁻ˣ  and g(x) = -2x is the same.

Therefore, the solution to f(x) = g(x) is:

x = -2

x = -1

..

step-by-step explanation:

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.