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

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

Step-by-step 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.

One kilometer is equal to 0.621371 miles. Conversely, one mile is equal to 1.609344 kilometers. One liter is equal to 0.264172 gallons, and one gallon is equal to 3.78541103373138 liters. Thus, 12.4 kilometers per liter is equal to 29.16661 miles per gallon as 1 km/l = 2.352145833 mpg.