Inverse function of f(x)=e^(2x-1)

The cell phone company decided to collect similar data but this time they collected information of texting speed according to ag

Ludmilka [50]

Step-by-step explanation:

As we know, Scatter plots resembles line graphs in that they are plotted on the x and y axis and the purpose of a scatter plot is to shows if the variables are related to each other. If yes, they can draw a line of best fit which can expose or go through most of the points in the plot.

Given the information in the question, we know:

"they collected information of texting speed according to age"

=> We have 2 variables here which are age and (texting speed)

Step 1:

Label the x-axis the input variable (age)
Label the y-axis the output variable (texting speed)

Step 2: Plot the points according to age and texting speed

Hence, from that plot, it could have two cases in the relation of age and texting speed which are "the more time, more text is written", or "the less time, more text is written".

7 0

3 years ago

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Sally is going on a vacation with her family. In 2 hours they travel 90.5 miles. If they travel at the same speed, write an equa

Mademuasel [1]

Let d= distance in miles

Let h= time in hours

45.25h= d

3 0

3 years ago

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Students are taking a Math test that has 28 questions and is worth 100 points , Some of the questions are worth 3 points and the

Y_Kistochka [10]

Answer:

There are 12, 3-point problems & 16, 4-point problems

Step-by-step explanation:

3-point problem = x

4-point problem = y

Total points = 100

Total problems = 28

According to given statement; x+y=28

4 0

3 years ago

What is the range of f(x) = 3/4x -4

shusha [124]

Answer:

The range is the resulting y-values we get after substituting all the possible x-values.

For the given function : $f(x) = \frac{3}{4x} -4$

See the attached figure.

The zeros of the denominator at x = 0

The domain is: (-∞,0)∪(0,∞)

The range of the function is the domain of the inverse function of f(x)

y = 3/(4x) - 4

y + 4 = 3/(4x)

4x = 3/(y+4)

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

The zeros of the inverse function:

4(y+4) = 0

y + 4 = 0

y = -4

∴ The range is (-∞,-4)∪(-4,∞)

So, the answer is {y | y > –4} ∪ {y | y < – 4}

=========================================

Note: If the given function is : $f(x) = \frac{3}{4} x-4$

It will be first degree polynomial function.

Both of the domain and the range = all real numbers R

4 0

3 years ago

The daily revenue at a university snack bar has been recorded for the past five years. Records indicate that the mean daily reve

gladu [14]

Answer:

The sampling distribution has a mean of $1,500 and a standard deviation of $47.67

Step-by-step explanation:

The Central Limit Theorem estabilishes that, for a random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sample means with size n of at least 30 can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$

In this problem, we have that:

$\sigma = 500, n = 110$

So

$s = \frac{500}{\sqrt{110}} = 47.67$

The sampling distribution has a mean of $1,500 and a standard deviation of $47.67

6 0

3 years ago