All categories

3 years ago

Ramon is graphing the function f(x) = 3(4)x. He begins by plotting the initial value. Which graph represents his initial step?

Mathematics

2 answers:

uysha [10]3 years ago

6 0

Calculista · Quality Assurance - seems pretty accurate i was looking at their answer and he went as far as actually graphing it out for everyone... it shure as **** helped me not get confused. Thanks Calculista you got big brain lol!

Montano1993 [528]3 years ago

4 0

Answer:

The graph of his initial step in the attached figure

Step-by-step explanation:

we have

$f(x)=3(4)^{x}$

This is a exponential function of the form

$y=a(b)^{x}$

where

a is the initial value

b is the base

r is the rate of change

In this problem

a=3 ---> the initial value ( value of the function when the value of x is equal to zero)

b=4

b=1+r ----> 4=1+r ----> r=3 ---> r=300%

therefore

The initial value is the point (0,3)

The graph of his initial step in the attached figure

You might be interested in

n 2000 the population of a small village was 2,400. With an annual growth rate of approximately 1.68%, compounded continuously,

Nitella [24]

Answer:

The population would be 3358

Step-by-step explanation:

Since, exponential growth function if the growth is compound continuously,

$A = Pe^{rt}$

Where,

P = initial population,

r = growth rate per period,

t = number of periods,

Given,

The population in 2000, P = 2,400,

Growth rate per year = 1.68% = 0.0168,

Number of years from 2000 to 2020, t = 20,

Thus, the population in 2020,

$A=2400 e^{0.0168\times 20}$

$=2400 e^{0.336}$

$= 3358.4136$

$\approx 3358$

6 0

3 years ago

A ditch contains 10 centimeters of water. Rainwater accumulates in the ditch as follows: 10 centimeters of water by the end of t

kondaur [170]

Firstly, let's create a function of f(t) where t represents the time that has past, and f(t) represents the amount of rainwater. We know that when t=1, then f(t)=10, and t=2 then f(t)=15. So, let's take that and analyze it:

(1,10)
(2,15)
m = (15-10)/(2-1) = 5
y-intercept = 5
∴ f(t) = 5t+5

Now we just evaluate t for 10:

f(10) = (5*10)+5
f(10) = 55

3 0

3 years ago

Use the law of cosines to find the value of 2*3*4 cos theta.

daser333 [38]

The law of cosines :

A^2 = B^2 + C^2 - 2BC cos A

2^2 = 3^2 + 4^2 - 2 . 3. 4 cos theta

= 21

hope this helps

3 0

3 years ago

Read 2 more answers

Round the number 246.13687 to the nearest thousandth

sashaice [31]

Answer:

246.137

Step-by-step explanation:

246.13687 ≈ 246.137 (rounded to the nearest thousandth)

7 0

3 years ago

What number comes after 12 24 72 to 288

BARSIC [14]

What number comes after 12 24 72 to 288 first please explain that again and second 11 comes after 12 and 23 comes after 24 and 71 comes after 72 hope this helps

8 0

3 years ago