Question

Help me please i’m so far behind and i’m trying to finish before summer ends im freaking out

Answer 1

The correct answer is 5
Solve for x by simplifying both sides of the equation, then isolating the variable.
X=5

Answer 2

The equation 2.5x -10.5 = 64(0.5^x) is true when x=5

Explanation:

we need to solve the equation 2.5x -10.5 = 64(0.5^x)

We have to put the given values of x in the functions f(x) and g(x) and find their values

x f(x) = 2.5x -10.5 g(x) = 64(0.5^x)

2 2.5(2)-10.5 = -5.5 64(0.5^2) = 16

3 2.5(3) - 10.5 = -3 64(0.5^3) = 8

4 2.5(4) - 10.5 = -0.5 64(0.5^4) = 4

5 2.5(5) - 10.5 = 2 64(0.5^5) = 2

6 2.5(6) - 10.5 = 4.5 64(0.5^6) = 1

So, we need to solve the equation 2.5x -10.5 = 64(0.5^x)

This holds when x = 5 as shown in the table above.