Using a table of values, determine the solution to the equation below to the nearest fourth of a unit. 2x-4=3^-x +1

The solution of the given equation is .

Step-by-step explanation:

The given equation is

Write the equation in system of questions.

The table of values is

x values                f(x)                   g(x)

   0                        -4                      2

   1                         -2                      1.33

   2                         0                      1.11

   3                         2                      1.037

   4                         4                      1.0123

In initial stage the value of f(x)<g(x) upto x=2. But after x=3, f(x)>g(x). It means the value of x must be lie between 2 and 3.

From the below figure it is clear that the intersection point of both functions is (2.531, 1.062).

Therefore the solution of the given equation is .

36 girls

step-by-step explanation:

the 48 boys is 4 parts of the ratio

divide 48 by 4 to obtain one part of the ratio

= 12 ← 1 part of the ratio

3 parts = 3 × 12 = 36 ← number of girls