10. Select all that are true for the graph that represents
the function f(x) = 5(3)^x
A. The graph is increasing by a common ratio of 3.
B. The graph is decreasing by a common ratio of 3.
C. As x increases, y increases.
D. As x increases, y decreases.
E. As x decreases, y approaches 1.
F. As x decreases, y approaches 0

A, C and F

Step-by-step explanation:

The given function is

It is an exponential function of the form

On comparing both the functions, we get

It means the initial value is 5 and growth factor is 3.

Since both values are positive it means the given functions is an exponential growth function, therefore,

1. The graph is increasing by a common ratio of 3.

2. As x increases, y increases.

3. As x decreases, y approaches 0.

Hence, the correct options are A, C and F.

Intersecting secant-tangent theorem states that if a tangent segment and a secant segment are drawn to a circle from an exterior point, then the square of the measure of the tangent segment is equal to the product of the measures of the secant segment and its external secant segment.so to break it down: 1. pq acts as the tangent and ps as the secant with an intersection at p.sr = 21rp = 3x + 3pq = 4x + 4following to equation: tangent squared = the two segments multiplied by each otherso (4x + 4) ^ 2 = (3x + 3) • (21) simplifies to 16x^2 - 31x - 47 = 0 or (16x - 47)(x + 1) x = -1 or x = 47/162. pq acts as the tangent and ps as the secant with an intersection at p (again! )sr = 16rp = xpq = 15(15) ^ 2 = 16 • x225 = 16xx = 225/163. the interesting chords are proportional to each other so a ratio is possible to set up: ap dp 10 3 + x = = —— = pc pb 8 xcross multiple to get 10x = (3 + x)(8)x = 12