An exponential function in the form y=500(b)x contains the points (0,500) and (3,4). what is the value of b?

An exponential function in the form y=500(b)^x contains the points (0,500) and (3,4). What is the value of b?

An exponential function in the form y=500(b)^x contains the points (0,500) and (3,4). Then the value of b is

Solution:

Given that, An exponential function in the form contains the points (0,500) and (3,4).  

We have to find what is the value of b

Now, as the function contains (0, 500), let us substitute it in given function.

Here, it is not possible to find b exact value, as anything power 0 is 1.

So, now let us go for the next point. i.e. (x, y) = (3, 4)

Substitute x = 3 in given function

Hence, the value of b is

x= -3 and

step-by-step explanation:

to find the roots of a cubic, use division or factoring to find the factors then set equal to 0. as this is a difference of cubes, it factors into

where a is the cube root of .

here   this is 27 and the cube root of 27 is 3. so we write using the form:

.

set each factor to 0 and solve for x.

x-3=0

x=3

the quadratic expression does not factor and must be solved using the quadratic formula.

where a = 1, b=3, and c=9

this cubic has two complex roots.

2

step-by-step explanation: