In an exponential function f(x)=a(b)^x it is known that f(5)=15 and f(7)=170. Which of the following is the closest to the value of ;?

Complete question is;

In an exponential function, f(x) = a(b)^x, it is known that f(5) = 15 and f(7) = 170. which of the following is closest to the value of b?

b = 3.37

Step-by-step explanation:

The function given is f(x) = a(b)^x,

Now, f(5) = 15, Thus;

15 = a(b)^(5)

Also, f(7) = 170

Thus; 170 = a(b)^(7)

From first equation, a = 15/(b)^(5))

Putting this in second equation;

170 = (15/(b)^(5))) × (b)^(7)

170 = 15b²

b² = 170/15

b² = 11.333

b = √11.333

b = 3.37

step-by-step explanation:

one day the were 5 ducks, and their king told them to multiply their kingdom. so each went their own seperate way and met 4 other ducks on their journey.

when the ducks returned to their kingdom, it was discovered that there were 5 groups of 5 ducks. when the kind counted the number of ducks in total (including the ones he sent out earlier) he counted 25.

therefore 5 times 5 is 25.

the end. : )

answer: the proof is mentioned below.

step-by-step explanation:

since, given:   lines bc = ef

prove:   lines ac > ef

          statements                                           reason

1. bc=ef                                           1. given

2. ac= ab+bc                                 2. because b is the point between the  

                                                            line segment ac

3.   ac > bc                                       3. because if a line segment is equal to

                                                          the sum of two line segments then it is

                                                          always greater then each of these

                                                          individual line segments

4. ac > ef                                         4. by equality property.