Find a formula for the exponential function passing through the points 4
3,
and (1,20)
125
f(x) -

Step-by-step explanation:

Given

Required

Determine the exponential equation

An exponential equation is of the form:

In:

---- (1)

In:

--- (2)

Divide (1) by (2)

Take 4th roots of both sides

Substitute in

Solve for a

Hence, the equation is:

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

a; x = 0.5

step-by-step explanation:

-10x = -5

x = 0.5