Given the parent function of f(x) = x^(4, what change will occurr when the function is changed to f((1)/(2) x))

Answers

Answer 1

Answer:

The graph of the function f( (1/2)x ) will expand across x-axis

Step-by-step explanation:

We have been given the function:

f(x) = x⁴

If we substitute x = (1/2)x into the given equation, we get:

f((1/2)x) = ( (1/2)x )⁴

We can simplify the equation

f((1/2)x) = = (1/2)⁴ x⁴

f((1/2)x) = = (1/16) x⁴

Graph of both of the functions is shown below. We can clearly see that that the graph of the function f((1/2)x) = = (1/16) x⁴ expands horizontally on x-axis as compared to the graph of f(x) = x⁴

Given The Parent Function Of F(x) = X^(4, What Change Will Occurr When The Function Is Changed To F((1)/(2)

Related Questions

Help Please I'm Out Of Time ;(

Evaluate 2y² + y² / 3 for x = 1.5 and y = 3.
Show all of your work.

Answers

Answer:  6.25    IF my assumption is correct about the missing x!

The Other way around:   4.5  with    2x² + y² / 3

Step-by-step explanation:  2y² + y² / 3  assuming the 2nd y should have been x, 1st y  is y,  and all divided by 3

2(3)² + (1.5)² / 3

2(9) + 2.25   /3

18 + 2.25  /3

20.25/3

6.25

Edited to correct!________ OR 2y² + y² / 3  assuming the 1st y should have been x, 2nd y  is y,  and all divided by 3

2(1.5)² + (3)² / 3

2(2.25) + 9  / 3

4.5 + 9  /3

13.5 /3

4.5

Answer:

[tex]\frac{13.5}{3}[/tex]

Step-by-step explanation:

=> [tex]2x^2+y^2/3[/tex]

Where x = 1.5, y = 3

=> 2(1.5)²+(3)² / 3

=> 2(2.25)+9 / 3

=> 4.5 + 9 / 3

=> 13.5 / 3

=> [tex]\frac{13.5}{3}[/tex]

Bob traveled 90 miles which was 83 1 3 % of his entire trip. How many miles did he have left?

Answers

The answer is going to be 7

Answer:

Bob has 18 more miles to go

Step-by-step explanation:

90 ÷ 83 1/3 • 100 = 108

108 - 90 = 18

18 miles

A doctor prescribes 500 milligrams of a therapeutic drug that decays by about 19% each hour.
a) To the nearest minute, what is the half-life of the drug?
b)
Write an exponential model representing the amount of the drug remaining in the patient's
system after t hours. (2 points)
c)
Use your formula to find the amount of drug that would remain in the patient's system after 24
hours. Round your answer to the nearest hundredth of a gram. (2 points)

Answers

Answer:

a) half life is 3h 17 minutes

b) function of residue drug after t hours with initial quantity = 500 mg

        f(t) = 500 (0.81^t)

c) drug left in patient's system after 24 hours

   = 0.00 grams (to the hundredth of a gram.

Step-by-step explanation:

Given:

Drug initial active weight, A = 500 mg

Residue active weight, f(t) = A 0.81^t

t = time in hours.

a) half life

Half life is T, such that f(T) = 0.5A =>

0.5A = A(0.81^t)

0.81^t = 0.5

t*log(0.81) = log(0.5)

t = log(0.5) / log(0.81) = -0.6931 / -0.2107 = 3.2894 hours

= 3 h 17.36 minutes

b) Equation of function of residue drug as a function of time t in hours

A=500 mg

f(t) = A(0.81^t)    substitute A = 500 mg

= 500(0.81^t)  mg

c) weight of residue drug after 24 hours to the hundredth of a gram.

t=24 hours

A=500

f(t) = 500(0.81^t)    substitute t=24 hours

= 500(0.81^24)

= 3.181 mg

= 0.003181 g

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS: A) cos E = 312 + 392 – 2(31)(39) B) C) 562 = 392 – 2(39) ⋅ cos E D) 562 = 312 + 392 – 2(31)(39) ⋅ cos E

Answers

This question is incomplete because the options were not properly written.

Complete Question

Which of the following applies the law of cosines correctly and could be solved to find m∠E? ANSWERS:

A) cos E = 31²+ 39² – 2(31)(39)

C) 56² = 39² – 2(39) ⋅ cos E

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

D) 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Step-by-step explanation:

From the above diagram, we see are told to apply the law of cosines to solve for m∠E i.e Angle E

The formula for the Law of Cosines is given as:

c² = a² + b² − 2ab cos(C)

Because we have sides d , e and f and we are the look for m∠E the law of cosines would be:

e² = d² + f² - 2df cos (E)

e = 56

d = 39

f = 31

56² = 39² + 31² - (2 × 39 × 31) × cos E

Therefore, from the above calculation and step by step calculation, the option that applies the law of cosines correctly and could be solved to find m∠E

Is option D: 56² = 31² + 39² – 2(31)(39) ⋅ cos E

Answer:

[tex]56^2 = 31^2 + 39^2 minus 2(31)(39) cos E[/tex]

Step-by-step explanation:

Hello, I just took the exam got the answer correct

What is the equation, in point-slope form, of the line that
is perpendicular to the given line and passes through the
point (-4, -3)?
2
y + 3 = -4(x + 4)
y + 3= -1/4x + 4)
y + 3 = 1/4x + 4)
y + 3 = 4(x + 4)

Answers

Answer:

the answer is y+3=1/4x+4

Fill in the blank with a number to make the expression a perfect square.

Answers

Answer:

16

Step-by-step explanation:

[tex] {w}^{2} - 8w + { {4}^{2} } \\ = {w}^{2} - 8w + \boxed{ 16} \\= (w-4)^2 [/tex]

Answer:

Step-by-step explanation:

a² + 2ab +b² = (a+ b)²

w² - 8w + _?___

a = w

2ab = -8w

2*w*b = -8w

b = -8w/2w

b = 4

8w = 2 * 4*w

w² - 8w + 4² =w² -8w + 16

In a right triangle the length of a hypotenuse is c and the length of one leg is a. Find the length of the other leg, if c=6, a=5

Answers

Answer:

3

Step-by-step explanation:

6^2=5^2+b^2

36=25+b

36-25=b

B= square root of 9

B= 3

Answer:

3

Step-by-step explanation:

If a sample consists of the following data values, what is the sample mean?
13, 91, 44, 68, 54, 16, 88, 74

Answers

Answer:

mean =sum of all data values

total number of data

13+91+44+68+54+16+88+74

8

448

8

=56

therefore the mean is 56

Answer: 51

Step-by-step explanation:

Help with this question(will gove thanks and brainlist)(Your suppose to determine the pattern and then fill in the 3 blanks)

Answers

Answer:

Step-by-step explanation

1.  8/9, 9/9, 10/9

2.  1/64, 1/128, 1/256

3.  -39, -48, -57

Answer

8/9,1,1 1/9

1/64, 1/128, 1/256

Step-by-step explanation:

the second sequence you just add1\9 each time then the other one you just double the denominator.

URGENT!!! Please answer ASAP with full working out thank you

Answers

Step-by-step explanation:

[tex]a)

\\ \frac{a}{x - 1} - \frac{2}{x + 1} = \frac{4}{(x - 1)(x + 1)} \\ \\ \frac{a(x + 1) - 2(x - 1)}{(x - 1)(x + 1)} = \frac{4}{(x - 1)(x + 1)} \\ \\ a(x + 1) - 2x + 2 = 4 \\ \\ a(x + 1) = 4 + 2x - 2 \\ \\ a(x + 1) = 2x + 2 \\ \\ a (x + 1) = 2(x + 1) \\ \\ a= \frac{2(x + 1)}{(x + 1)} \\ \\ \huge \red{ \boxed{a = 2}}[/tex]

Solve b part yourself in the same way.

Which expression is equivalent to (x Superscript one-half Baseline y Superscript negative one-fourth Baseline z) Superscript negative 2? StartFraction x Superscript one-half baseline Over y z squared EndFraction StartFraction x Superscript one-half baseline Over y Superscript one-fourth Baseline z squared EndFraction StartFraction y Superscript one-half Baseline Over x z squared EndFraction

Answers

Answer:

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Step-by-step explanation:

Given

[tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex]

Required

Find the equivalent

To find the equivalent of the given expression; we have to apply laws of indices;

As a law;

[tex]a^{-m} = \frac{1}{a^m}[/tex]

So; the expression [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] becomes

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}}*\frac{1}{z^2}[/tex]

This is further simplified to

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}} * z^2}[/tex]

[tex]x^{\frac{1}{2}}*\frac{1}{y^{\frac{1}{4}}z^2}[/tex]

Combine to form a single fraction

[tex]\frac{x^{\frac{1}{2}}*1}{y^{\frac{1}{4}}z^2}[/tex]

Multiply numerator

[tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

The expression can not be further simplified

Hence [tex]x^{\frac{1}{2}}y^{-\frac{1}{4}}z^{-2}[/tex] is equivalent to [tex]\frac{x^{\frac{1}{2}}}{y^{\frac{1}{4}}z^2}[/tex]

Answer:

c

Step-by-step explanation:

x has a exponent of -1 after multiplying 1/2 and -2, so x has to be in the denominator of the answer no matter what.

Hope this helped other than the guy above lol

You want to distribute 7 candies to 4 kids. If every kid must receive at least one candy, in how many ways can you do this?

Answers

Answer:

15

Step-by-step explanation:

lets begin to set up this question. i personally find questions like these easiest when i begin to set up ideas to help my brain process it better, for example:

person a

person b

person c

person d

we know that each (person) must receive at least 1 candy. we also know that we have 7 candies. therefore if we want do draw this out :

person a- 1

person b- 1

person c- 1

person d -1

notice that we now have given away 4 of the 7 candies. now we have 3 candies left. we can simply:

person a- 2

person b-2

person c-2

person d- 1

but, keep in mind that there are still many more ways that we can distribute the candies to other kids. the question we are asked is how may ways can we do this. since i have already illustrated the question, you can either learn how to put this into an equation, or experiment how many variations there are. the answer, either way is 15.

Solve for b. -11b+7 = 40−11b+7=40

pls answer

Answers

Answer:

b = - 3

Step-by-step explanation:

-11b+7 = 40

Group like terms

That's

- 11b = 40 - 7

- 11b = 33

Divide both sides by - 11

That's

[tex] \frac{ - 11b}{ - 11} = \frac{33}{ - 11} [/tex]

b = - 3

Hope this helps you

Answer:

-3

Step-by-step explanation:

I put this answer and got it correct on Khan

Choose the best answer that represents the property used to rewrite the expression.

log5 6 − log5 3 = log5 2

Answers

Answer:

The Quotient Property.

Step-by-step explanation:

Since all three logarithms have the same base (base-5), and you are subtracting 6 and 3, to solve this all you need to do is 6 / 3 because of the Quotient Property.

You aren't multiplying anything, so you wouldn't use the Product Property.

You are not messing around with powers, so you wouldn't use the Power Property.

And you aren't using addition or multiplication, so you wouldn't use the Commutative Property.

Hope this helps!

Use exact numbers. Complete the equation of the line through ( 2 , 1 ) (2,1)left parenthesis, 2, comma, 1, right parenthesis and ( 5 , − 8 ) (5,−8)left parenthesis, 5, comma, minus, 8, right parenthesis.

Answers

Answer:

y = - 3x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (2, 1) and (x₂, y₂ ) = (5, - 8)

m = [tex]\frac{-8-1}{5-2}[/tex] = [tex]\frac{-9}{3}[/tex] = - 3 , thus

y = - 3x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (2, 1) , then

1 = - 6 + c ⇒ c = 1 + 6 = 7

y = - 3x + 7 ← equation of line

Answer:

y - 1 = -3(x - 2)

Step-by-step explanation:

Sounds as though you want the equation of the line through (2, 1) and (5, -8).

As we move from (2, 1) to (5, -8), x (the "run") increases by 3 and y (the "rise") decreases by 9.  Thus, the slope of this line is m = rise / run = -9/3, or m = -3.

Let's use the point-slope formula for a straight line here:  The point (h, k) is (2, 1) and the slope is -3. Then y - k = m(x - h) becomes:

y - 1 = -3(x - 2)

Please hurry❗️❗️❗️!!!!!!

Which expression is equivalent to a+(C+7)?
О 7ac
O a-(C+7)
O (C+7)-a
0 (a+c) + 7

Answers

Answer:

The answer is (a+c) + 7

Since addition is associative a + ( C + 7) can also be written as (a+c) + 7

Hope this helps you

Answer:

(a+c)+7

Step-by-step explanation: This method is called associative property.

On addition changing the order brings no change to the answer. For example:- 2+3=3+2. but don't confuse this with multiplication. For example, if the question was a(c+7), then you are supposed to multiply c, + and 7 by a.

Hope it would help :)

Find a quadratic polynomial the sum and product of whose zeroes are -8 and 12 respectively. Hence find the zeroes.

Answers

Step-by-step explanation:

We khow the sum and the product of the zeroes of this quadratic polynomial

Here is a trick :

when we khow the sum S and the product P ofvtwo numbers we can find them by solving :

x²-Sx+p=0

here S= -8 and P=12

so:

x²+8x+12=0

Let Δ be the discrminant of this equation: a= 1 , b= 8 and c=12

Δ= 8²-4*12 =16

the zeros are:

(-8-4)/2= -6

(-8+4)/2 = -2

verify:

-6+(-2)= -8

-2*(-6)= 12

now the polynomial quadratic is:

(x+6)(x+2)

A lake near the Arctic Circle is covered by a 222-meter-thick sheet of ice during the cold winter months. When spring arrives, the warm air gradually melts the ice, causing its thickness to decrease at a constant rate. After 333 weeks, the sheet is only 1.251.251, point, 25 meters thick. A Slope and xxx-intercept (Choice B) B Slope and yyy-intercept (Choice C) C Slope and a point that is not an intercept (Choice D, Checked) D xxx-intercept and yyy-intercept (Choice E) E y-intercept and a point that is not an intercept (Choice F) F Two points that are not intercepts

Answers

Answer:

S(t) = 2 - 0.25 t

Step-by-step explanation:

i am not explaining :> (me being lazy)

1 kilogram
One ratio you could use for converting units is
1,000 grams
A. True
O B. False

Answers

Answer:

True

Step-by-step explanation:

For every kilogram, there are 1000 grams

A motor is 85.4 % efficient: that is, the output is 85.4 % of the input.
What is the input if the motor delivers 10.75 hp. ( Round your answer to 1
decimal place.)

Answers

Answer:

12.6 hp

Step-by-step explanation:

output of motor = 85.4% of input of motor.

Given that motor delivers 10.75 hp, it means output of motor is 10.75hp

Using both the given conditions

10.75 = 85.4% of input of motor

=> 10.75 = 85.4/100  * input of motor

=> input of motor = 10.75*100/85.4 = 1075/85.5 hp = 12.57 hp.

Input of motor rounded to 1 decimal place = 12.6 hp

A card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not. He keeps the card, and then makes another selection and sees if the card is a red card or not. He continues this process 10 times and counts the total number of red cards that he selects. Is this a binomial random variable? A. no since the total number of red cards in the deck is unknown at the start of the experiment B. no, since probabilities of drawing red cards do not remain the same from trial to trial C. yes since red cards are successes and he is counting the number of red cards drawn D. yes since a red card is a success and every other card is a failure

Answers

Answer:

A

Step-by-step explanation:

there could be no red cards inside

A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

We have to determine whether the card player selects a playing card from a well-shuffled deck of standard playing cards and sees if the card is a red card or not.

He keeps the card, and then makes another selection and sees if the card is a red card or not.

What is the probability?

Probability is the branch of mathematics concerning numerical descriptions of how likely an event is to occur, or how likely it is that a proposition is true.

He continues this process 10 times and counts the total number of red cards that he selects.

We have to determine if it Is a binomial random variable.

There could be no red cards inside.

Therefore, A binomial random variable is no since the total number of red cards in the deck is unknown at the start of the experiment.

To learn more about the probability visit:

https://brainly.com/question/24756209

#SPJ2

A nautical mile is the unit of length used in sea and air navigation. A
nautical mile is equal to 6,174 feet. What percent of a statute mile, (5,360
feet) is a nautical mile? (Round to the nearest hundredth.)

Answers

Answer:

86.82%

Step-by-step explanation:

A nautical mile = 6,174 feet.

Statute mile =5,360 feet

The percentage of a statute mile to a nautical mile is calculated as:

5360/6174 × 100

= 0.8681567865 × 100

= 86.81567865%

Approximately to the nearest hundredth = 86.82%

Therefore, the percent of a statute mile that is a nautical mile rounded to the nearest hundredth is 86.82%

steve can run 3.5 miles in 30 minutes. if he increases his rate by 1/2 mile per hour, how far will he run in 2 hours?​

Answers

Answer:

15 miles

Step-by-step explanation:

Currently, he can run 3.5 * 2 = 7 mph. Adding 1/2 mph to that gives us 7.5 mph, so therefore, in 2 hours he can run 7.5 * 2 = 15 miles.

Answer:

15

Step-by-step explanation:

because its correct just did the thing.

can anyone help me with these questions

Answers

Answer:

1. 31.14

2. 46

Step-by-step explanation:

1. Using order of operations, we first simplify what's in the parentheses, so we do 4.1-(-6.2), or 4.1+6.2. This gives us -5+3.8(10.3). Next is multiplication, so we do 3.8(10.3), which gets us to -5+39.14. Lastly, we add, to get 31.14.

2. First, we solve in the parentheses. Within the parentheses, we do multiplication first, so we first do 3*-2, to get us 8-4(-6+(-13))÷2. Then, we solve inside the parentheses, so we do -6+(-13), to get 8-4(-19) ÷2.

Next, since multiplication and division are on the same level, we go from left to right, so we do -4*-19 first, to get 8+76÷2. Now we do division, to get 8+38. Lastly, we add, to get 46.

Answer:

9) 34.14

10) 46

Step-by-step explanation:

HELP!!! How far have I travelled if I biked at 10mph for hhrs, I walked at 3mph for twice as long as I biked, and ran at 10mph for one quarter as long as I walked?

Answers

Answer:

  21h miles

Step-by-step explanation:

The appropriate relation is ...

  distance = speed · time

__

We are given that ...

  biking time = h

  walking time = 2h

  running time = (1/4)(2h) = h/2

The total distance traveled is ...

  total distance = biking distance + walking distance + running distance

     = (10)(h) +(3)(2h) +(10)(h/2)

     = 10h + 6h + 5h

  total distance = 21h . . . miles

Answer:

21h miles

Step-by-step explanation:

The appropriate relation is ...

 distance = speed · time

__

We are given that ...

 biking time = h

 walking time = 2h

 running time = (1/4)(2h) = h/2

The total distance traveled is ...

 total distance = biking distance + walking distance + running distance

    = (10)(h) +(3)(2h) +(10)(h/2)

    = 10h + 6h + 5h

 total distance = 21h . . . miles:

HURRY ASAP PLZZZZ ANYONE???? There are 25 towns in a certain country, and every pair of them is connected by a train route. How many train routes are there?

Answers

Answer:

25 train routes

Step-by-step explanation:

The train routes go from 1-2, 2-3, 3-4, 4-5, ,and so on, but there is also one that goes from 25-1. If you notice, there when we get to 4-5, there are 4 train routes which means that if there are 25 towns, then there are 24 train routes, but since 25 and 1 are connected then there are 25 routes. Hope this helps!

Answer:

300

Step-by-step explanation:

25·24/2=300

explain the words and the connections of population ,area, urban,and density

Answers

Step-by-step explanation:

1. Population Area: this can be defined as a group of similar species

                                  inhabiting/ co-existing in a defined location or space

2. Urban population: urban areas are often more developed areas with                                                                   greater population than rural environments

                                   it's the people living in cities.

3. Population density: this  is a measurement of population per unit area..

What transformations were applied to ABC to obtain A'B'C'?
A. rotate 180 degrees counterclockwise, then shift 3 units down
B. rotate 270 degrees counterclockwise, then shift 3 units down
c. rotate 180 degrees counterclockwise, then shift 3 units up
D. rotate 270 degrees counterclockwise, then shift 3 units up
O

Answers

A
You can also find this on google

The required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

What is the geometry across the coordinate plane transformation?

Transform the coordinate plane's shapes by translating, rotating, or reflecting them. In the 19th century, Felix Klein introduced transformational geometry, a novel perspective on geometry.

Here,
In the graph, triangle ABC is transformed into triangle A'B'C' by a combination of rotation and translation. First, the triangle is rotated 270 degrees counterclockwise around the origin. Then, the resulting triangle is shifted 3 units down.

Thus, the required transformation is to rotate 270 degrees counterclockwise, then shift 3 units down. Option B is correct.

Here's where you can find out more about transformation: brainly.com/question/18065245
#SPJ7


NEED HELP ASAP!! The dot plot below shows the drawing scores of some students: Which statement best describes the shape of the data? A. It is symmetric and has a peak at 3. B. It is symmetric and has a peak at 5. C. It is not symmetric and has a peak at 3. D. It is not symmetric and has a peak at 5.

Answers

Answer:

I believe the answer Is A

Step-by-step explanation:

If its asking for the shape, the peak would be three because it has the most variables in it which is also 3 variables

Explain the procedure (but don't create the graph) for graphing the quadratic function in factored form f(x) = (x - 2)(x + 4) using pencil and paper. Explain the entire process. pleaaassseee help mee.

Answers

Answer:  You will need to find the x-intercepts and the vertex

Step-by-step explanation: Use the information in the factors and some formulae.

The x- intercepts are the points where the parabola crosses the x-axis. The x-axis is where y = 0

Set each factor equal to 0 and solve:

x-2=0, so x = +2 and x +4 = 0, so x = -4    (you would plot these if creating the graph)

To find the vertex you need the Vertex Formula: x = -b/2a

b is the coefficient of the x term in the middle of the quadratic equation; you can just do the O and I parts of FOIL to get b:  -2x + 4x = 2x  You know a = 1 because x²  will have the implied (missing)(1).

Put the numbers in the Formula: x = -b/2a   x = -(2)/2(1)  -2/2 = -1  

-1 is the "x-value" of the vertex.  

The y value is the 'c' in the quadratic formula. You get that from the  L part of FOIL   -2 × 4 = -8 .

So, your coordinates for the vertex:  ( -1, -8 )

If you were creating a graph, you would plot that point, then draw the parabola starting there and through the x-intercepts.  

Other Questions
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