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skelet666 [1.2K]
2 years ago
7

What is the range of the function y=e^4x? y<0 y>0 y<4 y>4

Mathematics
2 answers:
Oliga [24]2 years ago
7 0

We have been given the function y=e^{4x}

We know that the range is set of y values for which the function is defined. Therefore, we will find the value for x and then observe the restriction is y's values.

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

Now, we know that logarithm function is not defined for negative values. Hence, the value for y is always greater than zero.

Therefore, the range of the function is given by y>0

B is the correct option.

nirvana33 [79]2 years ago
7 0
This exponential function is increasing .

Whatever the value of x, y is always positive. So the range of y is all value greater than 0==> y>0
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Austin pays $2 per day for high speed internet. The equation y = 2x relates his internet charges (y) to the number of days (x) h
Alika [10]

Answer:

Option C. 2

Step-by-step explanation:

Let

x ----> the number of days

y ----> the internet charges in dollars

we have

y=2x

This is a proportional relationship between the variables x and y

The slope of the linear function is equal to the constant of proportionality k

k=m=2\frac{\$}{day}

The unit rate is the same that the slope

so

The unit rate is $2 per day

therefore

The unit rate in the equation is 2

8 0
3 years ago
In the year 2006, a person bought a new car for $24000. For each consecutive year after that, the value of the car depreciated b
sweet [91]

Answer:

$15,746.400

Step-by-step explanation:

The computation of the car value in the year 2010 is shown below:

Since the new car brought in the year of 2006 at $24,000

And, it would be depreciation by 10%

So, in the year 2010 the car value would be

= $24,000 × (1 - 0.10)^4

= $24,000 × 0.9^4

= $15,746.400

5 0
2 years ago
Its The Wolf <br> Its like part A and needs to be answer like that
kumpel [21]

The probability that the next elk that will be caught will be unmarked is 5400/ 5625, 0.96 and 96%

The probability that the next wolf that will be caught will be unmarked is 696 / 928,  0.75 and 75%.

<h3>What are the probabilities?</h3>

Probability determines the odds that a random event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next elk that will be caught will be unmarked = number of unmarked elks / total number of elks

number of unmarked elks  = 5625 - 225 = 5400

5400/ 5625 = 0.96 = 96%

The probability that the next wolf that will be caught will be unmarked = number of unmarked wolfs / total number of wolfs

number of unmarked wolfs  = 928 - 232 = 696

696 / 928 =  0.75 =  75%.

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

6 0
1 year ago
I need help ASAP I will give brainlist!
Rom4ik [11]

Answer:

The correct answers are 1, 2, and 3.

Step-by-step explanation:

Ok

1. if the number is greater than 2, it is a solution so 57 is a solution

2. Since it has to be greater than 2, zero is not a solution

3. Since it is greater than 2 and not equal to it, two is not a solution.

4. Since it has to be greater than 2, -2 is not a solution, so <u>false</u>

5. Since it is greater than 2 and not equal to it, 2 is not a solution, so <u>false</u>

<u></u>

The correct answers are 1, 2, and 3.

Please give me a brainliest because I am trying to get to 8 thank you so much!

5 0
3 years ago
Determine the values of the letters to complete the conditional relative frequency table by column. A = b =.
elena-14-01-66 [18.8K]

Conditional relative frequency is the ratio of the the value of somthing with the total value for a set in data table. The value of the letter <em>a</em> is 0.1 and the value of the letter <em>b</em> is 0.85.

Given information

In the given table,

For the 16 year old weekend curfew is 0.9 before 10 pm and <em>a </em>after 10 pm in total 1.

For the 17 year old weekend curfew is <em>b</em> before 10 pm and 0.15<em> </em>after 10 pm in total 1.

There is total are with 0.88 before 10 pm and 0.12 after 10 pm in total of 1.

<h3>Conditional relative frequency-</h3>

Conditional relative frequency is the ratio of the the value of somthing with the total value for a set in data table.

As for the relative conditional frequency the sum of the frequencies of each column should be equal to the one.

Hence for column two given in the table,

0.9+a=1

Solve for<em> a</em>,

a=1-0.9\\a=0.1

Thus the value of the letter <em>a</em> is 0.1.

Hence for column three given in the table,

b+0.15=1

Solve for<em> a</em>,

b=1-0.15\\b=0.85

Thus the value of the letter <em>b</em> is 0.85.

Learn more about the conditional relative frequency  here;

brainly.com/question/3444575

8 0
2 years ago
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