An exponential function f ( x ) = a ⋅ b^x passes through the points (0, 11000) and (2, 5390). what are the values of a and b

The value of a is 11000 and the value of b is 5390 and this can be determined by using the given data.

Given :

An exponential function passes through the points (0, 11000) and (2, 5390).

The following steps can be used in order to determine the values of 'a' and 'b':

Step 1 - Write the given function.

Step 2 - Now, substitute the value of x and f(x) that is (0,11000) in the above function.

11000 = a

11000 = a

Step 3 - Now, again substitute the value of x and f(x) that is (2,5390) in the given function.

0.49 =

b = 0.7

For more information, refer to the link given below:

link

x=-2

infinite number of lines, so there is an infinite number of equations.

step-by-step explanation:

there are an infinite number of line that passes through the point (-2,5)

x=-2   is one line that passes through the point

y = 5 is another line that passes through the point

(these two lines are perpendicular to each other).

since the number of   numbers are infinite and the slope is the ratio of two numbers,(change in y over change in x) we can have an infinite number of slopes.     our only condition is that it passes through the point (-2,5)