based on the information in the two-way table, what is the probability that a person selected at random is a left-handed male?

Identify whether the equation represents an exponential growth or exponential decay function.1. y = 1/4 (1/e)^-2x2. y = (1/e)^4x

zvonat [6]

The general formula for exponential growth and decays is:

$y=y_0e^{kx}$

if k>0 then then it is an exponential growth function. If k<0 then the function represents an exponential decay.

Now we need to classify each of the functions:

1.

The function

$y=\frac{1}{4}(\frac{1}{e})^{-2x}$

can be wrtten as:

$\begin{gathered} y=\frac{1}{4}(e^{-1})^{-2x}^{} \\ =\frac{1}{4}e^{2x} \end{gathered}$

comparing with the general formula we notice that k=2, therefore this is an exponential growth.

2.

The function

$y=(\frac{1}{e})^{4x}$

can be written as:

$\begin{gathered} y=(\frac{1}{e})^{4x} \\ y=(e^{-1})^{4x} \\ y=e^{-4x} \end{gathered}$

comparing with the general formula we notice that k=-4, therefore this is an exponential decay.

3.

The function

$y=2e^{-x}+1$

comparing with the general formula we notice that k=-1, therefore this is an exponential decay.

5 0

1 year ago

Find two consecutive even integers such that twice the smaller is 16 more than the larger

drek231 [11]

Define x:
Let one of the numbers be x.
The other number is x + 2

Construct equation:
twice the smaller is 16 more than the larger
⇒2x = x + 2 - 16

Solve x:
2x = x + 2 - 16
x = -14

Find the two numbers:
Smaller number = x = -14
Larger number = x + 2 = -12

Answer: The two numbers are -14 and -12

6 0

2 years ago

Read 2 more answers

mrs. marks have 2/3 pound of cheese. she has 1/15 pound on each sandwich. how many sandwiches can she make with the cheese she h

Tema [17]

Answer:

10

Step-by-step explanation:

2/3 can be multiplied by 5 to equal 15ths since we can know 15 (seconds number fraction) is 5 times the originals (first numbers fractions)

This equals to 10/15 and means that with 1/15th on each 10 sandwiches can be made.

The answer gives it straight forward but explanation gets in depth

Edit: I saw your answer and yes it equals 10 but you multiply what it is a fraction of too.

2/3

x5

10/15

Hope that helps some more

3 0

2 years ago

Please answer fastly (4/5 +2) (3- 2/3)

MaRussiya [10]

Answer:

exact form: 98/15 decimal form: 6.53 mixed number form: 6 8/15

Step-by-step explanation:

hope this helped

6 0

2 years ago

How to simplify and expression

Ahat [919]

Answer:

Find something the parts of the equation (which are separated by a sign (+, -, x, or /)) and sort of un-distribute a common number out.

Step-by-step explanation:

Example: 5x + 10

Step One: Find what number they have in common. (5)

Step Two: Divide it from both parts of the equation and put it outside parentheses.

Step Three (result): 5(x+2)

3 0

2 years ago