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3 years ago

What is the parent equation for exponential growth and decay?

Mathematics

2 answers:

Vlad1618 [11]3 years ago

4 0

Answer:

Doing so allows you to really see the growth or decay of what you're dealing with. The basic parent function of any exponential function is f(x) = bx, where b is the base. Using the x and y values from this table, you simply plot the coordinates to get the graphs.

Step-by-step explanation:

Archy [21]3 years ago

3 0

Answer:

A = P x r^t

Step-by-step explanation:

A = Amount (e.g. number of organisms in population after certain period of time)

P = Principal/ Initial Value (e.g. the starting population)

r = rate as a decimal (e.g. if a population increases over certain period of time by 20%, r would equal 1.2)

t = time in whichever units you need.

Example of problem using formula:

A population of 2000 decreases by 20% every year, find the population size after 5 years.

A = ?

P = 2000

r = 0.8

t = 5

A = Pxr^t

A = 2000 x 0.8^5

A = 655.36

Hope this helped!

You might be interested in

WILL GIVE BRAINEST Let f(x)=7x-4 what is f(6) a.48 b.42 c.38 d.46

Sever21 [200]

F(6) = 7(6) - 4

f(6) = 42 - 4

f(6) = 38

Hope this helps!

4 0

3 years ago

Grade 9 maths!!! Due tonight

Artyom0805 [142]

Answer:

a. 7 by 21

b. a(-12, 2), b(-12, -5), c(9, -5)

Step-by-step explanation:

AD is 3 times the length of AB. X can be the length of AB. Then 3x would be the length of AD. The perimeter is 56, which would also be 3x + x + 3x + x which is 8x. This gives us 8x = 56, meaning that x is 7, or the length of AB is 7. Because AD is 3 times the length of AB (which is 7), AD = 21. Therefore, the dimensions of the rectangle ABCD is 7 by 21.

Coordinates of A have to be 21 units away from D since AD = 21. It goes in the left direction, meaning that 21 is subtracted from 9 (since this is a horizontal edge involving x coordinates) while the y value remains the same. The result is (-12, 2). For coordinate B, it has to be 7 units away from A downwards since AB = 7. This means that you subtract 7 from 2 (involving only the y coordinates), resulting in (-12, -5). For coordinate C, it has to be 21 units from B since BC = AD = 21. Because C is right compared to B, you have to add 21 to -12 (involving only the x coordinate) resulting in (9, -5).

3 0

2 years ago

Find the restricted values of x for 2/12x

maw [93]

Answer:

The restricted value is x=0

Step-by-step explanation:

We have been given the expression $\frac{2}{12x}$

This is a rational function. We know that the rational expression is undefined if denominator is zero.

Here, we will use this fact to find the restricted value (s) of $\frac{2}{12x}$ .

Restricted values means the values for which the function is not defined.

The given function is not defined if the denominator is zero.

12x =0

x =0

Hence, the restricted value is x=0

3 0

3 years ago

If you help I will give you brainiest

Feliz [49]

9514 1404 393

Answer:

5 miles

Step-by-step explanation:

It may get a bit messy, but we can solve for the desired value directly. Let d = the distance walked (in miles). Then 20-d is the distance traveled in the car. The relevant relation is ...

time = distance / speed

The total travel time is 9:00 -6:50 = 2:10 = 2 1/6 hours = 13/6 hours. Here is the equation for total travel time.

total time = time spent walking + time spent riding

13/6 = (d/3) + (20-d)/30

Multiplying by 30 gives ...

65 = 10d + 20 -d

45 = 9d . . . . . . . . . . subtract 20

5 = d . . . . . . . . . . . . divide by 9

The girl walked 5 miles.

_____

Check

Her walking time was (5 mi)/(3 mph) = 5/3 h = 1:40.