Question

I literally have no idea how to do this someone help im dying

Answer 1

We can solve this graphically, we will see that f(x) = g(x) when x = -2, so the solution is x = -2.

How to solve the system of equations?

We want to solve the system:

f(x) = g(x)

Where:

$f(x) = 2x + 24\\\\g(x) = 5*(0.5)^x$

Replacing the functions, we get:

$2x + 24 = 5*(0.5)^x$

Notice that on the left side x is a coefficient, while on the right side, it is an exponent, so this is really hard to solve with algebra.

But what we can do, is graph both functions, and see for which value of x the graphs do intersect.

Below you can see the graphs, the green one is f(x), the blue one is g(x).

There you can see that the graphs intersect at x = -2

This means that f(x) = g(x) only for x = -2.

If you want to learn more about systems of equations:

brainly.com/question/13729904

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