All categories

2 years ago

F(x)=20/4+3e−0.2x

Mathematics

1 answer:

sdas [7]2 years ago

8 0

Answer:

12.6

Step-by-step explanation:

Given the function, F(x)=20/4+3e−0.2x

Where e is an exponential function,

To get f(3), we need to substitute x = 3 into the given function

F(3) = 20/4 + 3e - 0.2(3)

f(3) = 5 + 3e - 0.6

f(3) = 4.4+3e

Substituting the value of e = 2.718

f(3) = 4.4+3(2.718)

f(3) = 12.554

f(3) = 12.6 to the nearest tenth.

You might be interested in

Which of the following could be an example of a function with a domain [a, infinity) and a range [b, infinity) where a >0 and

Semmy [17]

[a, infinity) and a range<span />

6 0

2 years ago

Read 2 more answers

What is the volume of this rectangular prism?

skelet666 [1.2K]

Answer:

idk

Step-by-step explanation:

need a photo or a diagram to help you out

5 0

2 years ago

Write an equation in slope-intercept form that goes through (12, 4) and (20,8).

spayn [35]

Answer:

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

Step-by-step explanation:

Given two points are:

$(x_1,y_1) = (12,4)\\(x_2,y_2) = (20,8)$

Slope intercept form of line is given as:

$y = mx+b$

Here m is the slope of the line and b is the y-intercept.

Slope of a line is calculated by the formula:

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

Putting the values

$m = \frac{8-4}{20-12}\\m = \frac{4}{8}\\m=\frac{1}{2}$

Putting the value of slope in slope-intercept form we get

$y = \frac{1}{2}x+b$

To find the value of b, any one point will be put in the equation

Putting the first point (12,4) in the equation

$4 = \frac{1}{2}(12) + b\\4 = 6+b\\b = 4-6\\b = -2$

Putting the value of b

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

Hence,

Equation in slope-intercept form that goes through (12, 4) and (20,8) is: $y = \frac{1}{2}x-2$

4 0

2 years ago

Evaluate the following, if a=7, b=3, c=2

Zinaida [17]

Answer:

Step-by-step explanation:

a^2 - 5bc - 1

a = 7

b = 3

c = 2

7^2 - 5*3*2 - 1

49 - 30 - 1

4 0

2 years ago

Tamara has a piece of card that is blue on one side and white on the other.She cuts out the shape from the card.She turns over t

saveliy_v [14]

Answer:o

Step-by-step explanation:

becuse if you felp it you the aswer

3 0

2 years ago

Read 2 more answers