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3 years ago

When the expression representing the parent radical function is multiplied by , the resulting graph is a

Mathematics

2 answers:

lyudmila [28]3 years ago

7 0

Answer:

The first one is reflection because reflection means multiplying the function by a negative constant k the K in this question is representing the -1

The second one is dilation which means to multiply a function by a value of K , that's greater than 1 vertically stretches the function away from the x- axis .

1. Reflection

2 .Dilation

Step-by-step explanation: I just took the test .

klasskru [66]3 years ago

5 0

Answer:

1. Reflection

2 .Dilation

Step-by-step explanation:

You might be interested in

According to data from a medical association, the rate of change in the number of hospital outpatient visits, in millions, in

GaryK [48]

Answer:

a) $f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) f(t=2015) = 264,034,317.7

Step-by-step explanation:

The rate of change in the number of hospital outpatient visits, in millions, is given by:

$f'(t)=0.001155t(t-1980)^{0.5}$

a) To find the function f(t) you integrate f(t):

$\int \frac{df(t)}{dt}dt=f(t)=\int [0.001155t(t-1980)^{0.5}]dt$

To solve the integral you use:

$\int udv=uv-\int vdu\\\\u=t\\\\du=dt\\\\dv=(t-1980)^{1/2}dt\\\\v=\frac{2}{3}(t-1980)^{3/2}$

Next, you replace in the integral:

$\int t(t-1980)^{1/2}=t(\frac{2}{3}(t-1980)^{3/2})- \frac{2}{3}\int(t-1980)^{3/2}dt\\\\= \frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}+C$

Then, the function f(t) is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+C'$

The value of C' is deduced by the information of the exercise. For t=0 there were 264,034,000 outpatient visits.

Hence C' = 264,034,000

The function is:

$f(t)=0.001155[\frac{2}{3}t(t-1980)^{3/2}-\frac{4}{15}(t-1980)^{5/2}]+264,034,000$

b) For t = 2015 you have:

$f(t=2015)=0.001155[\frac{2}{3}(2015)(2015-1980)^{1/2}-\frac{4}{15}(2015-1980)^{5/2}]+264,034,000\\\\f(t=2015)=264,034,317.7$

3 0

3 years ago

What is the sum of the measures of the interior angles of a pentagon?

jek_recluse [69]

Hi,

The sum of the measures of the interior angles of a polygon with x sides is equal to (x-2) times 180 degrees. A pentagon has got 5 sides, so the sum of the measures of its interior angles is 180(5-2) = 180(3) = 540 degrees.

I hope this helps. If I was not clear enough or if you’d like further explanation please let me know. Also, English is not my first language, so I’m sorry for any mistakes.

5 0

3 years ago

When the outliers are removed, how does the mean change?

jok3333 [9.3K]

In statistics, an outlier is an observation point that is distant from other observations.

Given the points
15, 23, 24, 26, 27 and 35

Notice, that the points 15 and 35 are distance from the other points and hence are outliers.

The mean of the observations including the outliers is given by
$\frac{15+23+24+26+27+35}{6} = \frac{150}{6} =25$

The mean of the observations without the outliers is given by
$\frac{23+24+26+27}{4} = \frac{100}{4} =25$

Therefore, when the outliers are removed, the mean remains the same.

3 0

3 years ago

Read 2 more answers

Does a graph represents a function why or why not

vekshin1

It does if the x values don't repeat it they repeat it doesn't

6 0

3 years ago

Ronnie’s Rentals charges $25 plus $15 per to rent a chain saw for 5 hours. Write an expression to show how you could calculate t

iragen [17]

Answer:

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

The total amount that David paid is $100.

Step-by-step explanation:

Given that,

Ronnie's Rentals charges $25 plus $15 per hour to rent a chain for 5 years.

Let

Ronnie's rents a chain for x hours.

Given that,

Rental charge of a chain for 1 hour is $15

Rental charge of a chain for 2 hour is $(15+15) = $30 = $(2×15)

Rental charge of a chain for 3 hour is $(15+15+15) = $45 = $(3×15)

From the above we conclude that,

∴Rental charge = Time ×$15

Rental charge of a chain for x hour is = $(x.15)=$15x

The expression of total amount David paid is

y=25+ 15x

where y represents total amount in dollar, x is time in hour.

Now plugging x= 5 in the above expression

y= 25 + (15×5)

=$100

The total amount that David paid is $100.

5 0

3 years ago