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3 years ago

Which of the following is true about the function below?

Mathematics

1 answer:

STALIN [3.7K]3 years ago

3 0

For this case we have the following function:

$f (x) = \frac {1} {\sqrt {x + 4}}$

By definition, the domain of a function is given by all the values for which the function is defined. The given function is defined when the denominator is non-zero and when the argument of the root is greater than or equal to zero. So:

$x + 4 = 0\\x = -4$

The function is not defined in -4.

$x + 4 \geq0\\x \geq-4$

Thus, the domain of the function is given by all the strict major numbers to -4.

The range is the set of values that correspond to the domain.

The range is given by all $y> 0$ .

Answer:

OPTION D

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Molly is using a map with a scale of 12 = 40 molly needs to travel from point x to point y how far does she need to travel

KATRIN_1 [288]

Answer:

See Explanation

Step-by-step explanation:

Given

$Ratio=12:40$

Required

Determine the actual distance between x and y

The question is incomplete, as the scale distance between x and y is not given.

To solve this, we make assumptions.

A scale measurement is represented as:

$Ratio = Scale : Actual$

So, we have:

$Scale : Actual = 12 : 40$

Express as fraction

$\frac{Actual}{Scale} = \frac{40}{12}$

Make Actual, the subject

$Actual = \frac{40}{12} * Scale$

Now, assume that the distance between x and y is 60 (on the scale), the actual distance traveled will be:

$Actual = \frac{40}{12} * 60$

$Actual = 200$

7 0

2 years ago

Consider the function ( ) round( ) f xx , which rounds the input, x, to the nearest integer. Is this function one-to-one? Expla

jek_recluse [69]

Answer:

It is not a one to one function

Step-by-step explanation:

Required

Determine if f(x) = round(x) is a one to one function

This question is best answered using illustrating values;

Let x = 1.1

f(x) = round(x) becomes

f(1.1) = round(1.1)

f(1.1) = 1

Let x = 1.3

f(x) = round(x) becomes

f(1.3) = round(1.3)

f(1.3) = 1

Notice that for the two values of x, f(x) has the same value of 1.

This two illustrating values can be used to conclude that the fuction is not one-to-one.

6 0

2 years ago

Before ordering food for a company barbecue the president took a poll. She asked people if they would eat the ribs, hamburgers,

Vinvika [58]

Answer:

The complete question is as shown in the attached figure 1

The Venn diagram is the attached figure 2

Let: R⇒ribs , H⇒hamburgers and C⇒corn

People would eat all three = 53

People would eat only R and H = 56 - 53 = 3

People would eat only C and H = 54 - 53 = 1

People would eat only R and C = 55 - 53 = 2

People would eat only H = 60 - (53+3+1) = 60 - 57 = 3

People would eat only R = 59 - (53+3+2) = 59 - 58 = 1

People would eat only C = 56 - (53+1+2) = 0

See Vinn diagram.

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

a. How many people did not want any of these foods?

people did not want any of these foods = 64 - (53+3+1+2+3+1) = 1

b. How many people would eat ribs but not corn?

people would eat ribs but not corn = 1+3 = 4

c. How many people would eat something as long as it was not a hamburger?

people would eat something as long as it was not a hamburger= 1+2 = 3

d. How many people would eat only corn?

people would eat only corn = 0

e. How many people would eat exactly two foods?

people would eat exactly two foods = 1 + 2 + 1

6 0

3 years ago

Can help me complete this problem please :c

motikmotik

Answer:

$A = \dfrac{7}{2}\pi~cm^2$

Step-by-step explanation:

There is a formula for the area of a sector given the radius and the angle measure.

$A = \dfrac{n}{360^\circ}\pi r$

n = angle measure

r = radius

$A = \dfrac{140^\circ}{360^\circ}\pi \times (3~cm)^2$

$A = \dfrac{14}{36}\pi \times 9~cm^2$

$A = \dfrac{7}{18}\pi \times 9~cm^2$

$A = \dfrac{7}{2}\pi~cm^2$

3 0

3 years ago

Read 2 more answers

Mopeds (small motorcycles with an engine capacity below 50 cm3) are very popular in Europe because of their mobility, ease of op

Mashcka [7]

Answer:

a) P(X<50)=0.9827

b) P(X>47)=0.4321

c) P(-1.5<z<1.5)=0.8664

Step-by-step explanation:

We will calculate the probability based on a random sample of one moped out of the population, normally distributed with mean 46.7 and standard deviation 1.75.

a) This means we have to calculate P(x<50).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{50-46.7}{1.75}=\dfrac{3.7}{1.75}=2.114\\\\\\P(X$

b) We have to calculatee P(x>47).

We will calculate the z-score and then calculate the probability accordign to the standard normal distribution:

$z=\dfrac{X-\mu}{\sigma}=\dfrac{47-46.7}{1.75}=\dfrac{0.3}{1.75}=0.171\\\\\\P(X>47)=P(z>0.171)=0.4321$

c) If the value differs 1.5 standard deviations from the mean value, we have a z-score of z=1.5

$z=\dfrac{(\mu+1.5\sigma)-\mu}{\sigma}=\dfrac{1.5\sigma}{\sigma}=1.5$

So the probability that maximum speed differs from the mean value by at most 1.5 standard deviations is P(-1.5<z<1.5):

$P(-1.5$

3 0

3 years ago