6. For the exponential function in the form of f(x) = a(b)*, find an equation that satisfies the given conditions.
a. Write a function that shows exponential decay and has a non-integer y-intercept.
b. Write a function that grows exponentially and has a y-intercept greater than 11.

x = 23.78

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).

b, i believe, but not sure.