All categories

3 years ago

Exponential functions increase rapidly how would you describe the behavior of an inverse function to that

Mathematics

1 answer:

Nady [450]3 years ago

5 0

The exponential functions have the form f(x) = bˣ where b> 0 and b≠0.

Step-by-step explanation:

Exponential function is given in the form of f(x)= bˣ

When working with the inverse of a function, the inputs (x) and outputs(y) exchange their places and the inverse will be the reflection over the identity line y= x

The example of exponential function is the growth of bacteria. If you start with 1 bacterium and it doubles every hour, you will have 2x bacteria after x hours and it is written as f(x) = 2x.

The exponential function will be bigger than the polynomial and it always have the positive number other than 1 as the base.

The instantaneous rate of change of a quantity with respect to time is proportional to the quantity by itself.

You might be interested in

Pls pls pls pls pls help

Arturiano [62]

Answer:

$y=\frac{1}{2}$

Step-by-step explanation:

$4(y+1)= \frac{3}{1-y}$

$4y+4= \frac{3}{1-y}$

$(4y+4)(1-y)= 3$

$4y(1-y)+4(1-y)=3$

$4y-4y^{2} +4-4y=3$

$-4y^{2}=3-4$

$4y^{2}=1$

$y^{2} = \frac{1}{4}$

$y=\sqrt{\frac{1}{4} }$

$y=\frac{1}{2}$

7 0

2 years ago

A right triangle has one leg that measures 7 inches, and the second leg measures 10 inches. How long is the hypotenuse?

faltersainse [42]

Answer:

Hypotenuse≈ $12.21$

Step-by-step explanation:

$\sqrt{7^{2} +10^{2} }$ ≈ $12.21$

to calculate this you would need to find the square root of the first leg squared added to the second leg squared.

the hypotenuse is the longest side of the triangle

8 0

3 years ago

In a ten pin bowling the highest possible score in a single game is 300. At one point in the season, John had an average score o

Sindrei [870]

Answer:

John need to get 293 in his next game to bring his average up to 183.

Step-by-step explanation:

John starts with N games played and averaging 177 points per game.

In game N+1, John scored 199 points.

$\frac{177N + 199}{N+1}=178\\177N+199=178N+178\\N=21\\$

So, John has now played (N+1) = 22 games.

We need to know what score John needs in game 23 to bring his average to 183.

$\frac{177*21 + 199+Y}{23}=183\\3916+Y=4209\\Y=293\\$

8 0

2 years ago

If 7% of Americans is about 22 million, which number below could represent 7% of Americans

Veronika [31]

65 because if it’s 7% then 22 people then ya

6 0

3 years ago

Un grupo de compañeros de clase está planificando un viaje de cada uno de ellos hicieron aportación de 14 pesos para gastos de v

Crank

Answer:

$14.8

Step-by-step explanation:

There is a mistype in the question. It should say: ... si cada uno de ellos hicieron una contribución de dieciseis pesos...

So if everybody contributes $14, they make a total of 14*x, where x denotes the number of students. In this scenario, $4 are left, calling y to the cost of the trip, then:

14*x = y - 4 (eq. 1)

In the other scenario, everybody contributes $16 and $6 are in excess, so

16*x = y + 6 (eq. 2)

subtracting eq. 1 to eq. 2:

16*x - 14*x = y + 6 - (y - 4)

2*x = y + 6 - y + 4

2*x = 10

x = 10/2 = 5

Replacing this value in eq. 1:

14*5 = y - 4

70 + 4 = y

y = $74

If every student pays: 74/5 = $14.8, then they would get altogether the exact cost of the trip

7 0

3 years ago