The function f(x) is exponential and the function g(x) is linear, These functions have the following values: f(1) = 2 g(1) - 2.5 f(2)= 6 g(2) = 4 It follows that there must be a solution to f(x) = g(x) between x = 1 and x = 2. True
False

Step-by-step explanation:

There does not exist any solution of  as thir graphs do not intersect.

Step-by-step explanation:

We are given that,

The values of the exponential function f(x) are f(1)= 2 and f(2)= 6.

That is, we get,

So, the function f(x) is .

Moreover, the values of the linear function g(x) are g(1) = 2.5  and g(2) = 4.

That is, the slope =  = 1.5

Substituting the slope and point (1,2.5) in the linear equation , where m is the slope, we get,

i.e. b= 1

Thus, the function g(x) is .

Consider,  

i.e.  

Now, the function f(x) is exponentially increasing and the linear function g(x) is increasing between x= 1 and x= 2, but there is no point where the graphs of the functions are intersecting.

Thus, there is no solution of the equation .

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

source

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.