Terri's teacher gives her the equation \(3(5)^x = 127 - 2x\) and tells her that she will not know how to solve it algebraically. Explain how Terri could use a graph to solve the equation and find the value of \(x\) to the nearest tenth.

f ( x ) = 3 ⋅ 5 x an d g ( x ) = 127 − 2 x f ( x ) = g ( x ) ⇔ x ≈ 2.3043 t h e g r a p h in ann e x

Answered by kate200468 | 2024-06-10

Terri can solve the equation 3 ( 5 ) x = 127 − 2 x by graphing the functions f ( x ) = 3 ( 5 ) x and g ( x ) = 127 − 2 x . The solution is the x-coordinate where the two graphs intersect, which is approximately x ≈ 2.3 . This method allows her to use graphical estimation to find the solution to the equation.
;

Answered by kate200468 | 2024-12-23