All categories

2 years ago

Ab" that goes through points (0,9) Write an exponential function in the form y and (5,2187)

Mathematics

1 answer:

klasskru [66]2 years ago

4 0

9514 1404 393

Answer:

y = 9(3^x)

Step-by-step explanation:

We assume you want a function in the form ...

y = a(b^x)

that passes through points (0, 9) and (5, 2187).

Filling in the given point values, we have ...

9 = a(b^0) = a

2187 = a(b^5) = 9(b^5) . . . . using the above value of 'a'

Dividing the second equation by 9 and taking the 5th root, we find b.

(2187/9) = b^5

243^(1/5) = b = 3

The exponential function is ...

y = 9(3^x)

You might be interested in

What is the intersection of plane WXYZ and plane VUYZ?

lions [1.4K]

Answer:

the first one

Step-by-step explanation:

the two planes intersect at line YZ, where they meet

tip: planes intersects at a line, just like how lines intersect at a point

hope this helps :)

6 0

2 years ago

A company is paying a local radio station to run its commercials. The cost for running commercials is a one-time campaign fee an

PolarNik [594]

Y = 250 + 100x....the slope is 100

it represents the per second fee of air time...basically, it costs $ 100 per second for the commercial....wow...100 bucks per second....that radio station is making some money.

5 0

3 years ago

16.75 + 3.2d – 4 + 6d = 51.39

Naya [18.7K]

It’s 4.2 because it’s and given and you add then yeah you get the point

8 0

3 years ago

They need to make room for the 2022 model.

Elena-2011 [213]

I don’t know I just need points lol

4 0

2 years ago

In 2009 the number of vehicle sales in the United States was 10,002 thousand and in 2013 it was 17,884 thousand.a. [3 pts] Deter

anygoal [31]

Answer:

1970.5 thousand

Step-by-step explanation:

Given

Vehicle sales in 2009 = 10,002 thousand

Vehicle sales in 2013 = 17,884 thousand

Required

Determine the average rate of change;

From the given parameters, it can be seen that the number of vehicles is a function of year

Let x represent the years and y represent the number of vehicles;

Such that;

$x_1 = 2009;\ y_1 = 10,002$

$x_2 = 2013;\ y_2 = 17,884$

The rate of change is calculate as follows;

$m = \frac{y_1 - y_2}{x_1 - x_2}$

$m = \frac{10002 - 17884}{2009 - 2013}$

$m = \frac{-7882}{-4}$

$m = 1970.5$

Hence, the average rate of change is 1970.5 thousand

6 0

3 years ago