Identify the parent function that can be used to graph the function f(x)= (1/4 x)^3
a. f(x)= x^3
b. f(x)= [x]
c. f(x)= x
d. f(x)= |x|

Answers

Answer 1

Answer:

[tex]f(x)=x^3[/tex]

Step-by-step explanation:

The parent function denotes the simplest function (free from any horizontal/vertical stretch/compression) that represents a family of functions. In this case the term 1/4 indicates a horizontal stretch and should be removed to find the parent function of [tex]f(x)=x^3[/tex]. From here we're in simplest form, since [tex]y=x[/tex] or others represent a completely different family of functions and cannot be obtained from horizontal/vertical stretches/compressions.


Related Questions

A car travels 600 km in 6 hours. at what rate of speed is the car traveling?

Answers

Step-by-step explanation:

100Km/hours......V/T

 The angle of elevation to a nearby tree from a point on the ground is measured to be 65°. How tall is the tree if the point on the ground is 92 feet from the tree? Round your answer to the nearest hundredth of a
foot if necessary.

Answers

Answer:

197.3 feet

Step-by-step explanation:

197.295 rounded to the nearest hundredth is 197.30 or 197.3

The height of the tree if the point on the ground from the tree is 92 feet will be 197.29 feet.

What is a right-angle triangle?

It is a type of triangle in which one angle is 90 degrees and it follows the Pythagoras theorem and we can use the trigonometry function. The Pythagoras is the sum of the square of two sides is equal to the square of the longest side.

The angle of elevation to a nearby tree from a point on the ground is measured to be 65°.

The height of the tree if the point on the ground from the tree is 92 feet. Then we have

Let h be the height of the tree. Then we have

[tex]\tan 65^o = \dfrac{h}{92}\\\\ 2.1445\ = \dfrac{h}{92}[/tex]

Then we have

[tex]\rm h = 2.1445 \times 92\\\\h = 197.29\ ft[/tex]

More about the right-angle triangle link is given below.

https://brainly.com/question/3770177

Please HELP!! Will mark brainliest!!!

Answers

Answer:

x=6

y=5

Step-by-step explanation:

15x and 90 are vertical angles and vertical angles are equal

15x = 90

Divide by 15

15x/15 = 90/15

x = 6

15x and 5x+12y are corresponding angles and corresponding angles are equal when the lines are parallel

15x= 5x+12y

Subtract 5x

15x-5x = 5x+12y-5x

10x = 12y

10(6) = 12y

60 = 12y

Divide by 12

60/12 = 12y/12

5 = y

Isabella runs 3 times per week. She ran for 15 minutes on Monday and 17 minutes on Wednesday. Her coach told her that she had run 80 percent of her goal that week. How many more minutes does she need to run to meet her goal for the week?

Answers

Answer

8 More minutes

Step-by-step explanation:

15+ 17 = 32

32/.8 = 40

40 - 32 = 8

Riley bought a plant and planted it in a pot near a window in her house. The initial
height of the plant was 6 inches and it grew at a rate of 2 inches per
month. Write an
equation for H, in terms of t, representing the height, in inches, of the plant t
months after Riley bought the plant.
Answer: H =
Submit Answer
acer

Answers

Height is the correct answer

Answer:

Height = Initial height + rate of growth of height

= 6 inches + 2 inches per month

= 6 inches + 2×(number of months)

which of the following pairs of equations are perpendicular

Answers

Answer:

were are the pairs?

What type of line is PQ?

A. side bisector
B. altitude
C. angle bisector
D. median

Answers

Step-by-step explanation:

C. angle bisector

hope this helps you

have a nice day:)

A line PQ is the median of triangle PRS.

What is median of a triangle?

A median of a triangle is a line segment that join a vertex to the mid-point of the side that is opposite to the vertex.

According to the given question.

We have a triangle PRS in which a line segment PQ dividing the side RS in two equal parts means point Q is acting as a mid point for RS.

Since, RS is the side which is opposite to the vertex P, and PQ is dividing RS in two equal parts therefore, PQ is the median of the triangle PRS.

Thus, option D is correct.

Find out more information about median of a triangle here:

https://brainly.com/question/2272632

#SPJ2

Solve the equation -9x -21= 20x -87

Answers

Answer:

66/29

Step-by-step explanation:

-9x - 21 = 20x - 87

Add 87 to both sides to cancel out the -87 on the right side:

-9x + 66 = 20x

Add 9x to both sides to cancel out the -9x on the left side:

66 = 29x

Divide both sides by 29 to isolate the variable:

66/29 or 2.275862....

What is the shaded area of the figure?

Answers

Answer:

329.29... mm²

Step-by-step explanation:

it is the area of the circle minus the area of the white triangle.

what we see as dotted line is on one hand the radius of the circle but also the height of the triangle.

we know the area of a circle is

pi×r²

and the area of a triangle is

baseline×height/2

the baseline of the triangle is clearly the diameter (=2×r) of the circle.

so, we have everything and need only to do the calculations.

the area of the shaded figure is

As = pi×(12.4)² - (2×12.4)×12.4/2 = pi×(12.4)² - 12.4×12.4 =

= pi×(12.4)² - (12.4)² = (pi-1)×(12.4)² = 329.29... mm²

A construction crew can dig a pit at a rate of 1914 meters per hour. How deep can they dig in 6 hours?

Answers

Answer:

11484m

Step-by-step explanation:

if 1914 = 1hour

Then 6hours= ?

6/1 ×1914

= 11484m

Write each power as a single power, then evaluate (9

Answers

Answer:

Step-by-step explanation:

a.  〖(9^8)〗^0 = 1

b.  〖〖[(-2)〗^4]〗^2 = 256

c.  〖–(3^2)〗^3 = -729

solve the equation 5+7 | 2x-1 | = -44

the solutions are: ??


i have tried to work out what i need to do to get the solutions that are being asked for but i need help and an explanation of possible! thank you so much!

Answers

The easy part is isolating the absolute-value term:

5 + 7 |2x - 1| = -44

7 |2x - 1| = -49

|2x - 1| = -7

Remember that the absolute value function returns a positive number that you can think of as the "size" of that number, or the positive distance between that number and zero. If x is a positive number, its absolute value is the same number, |x| = x. But if x is negative, then the absolute value returns its negative, |x| = -x, which makes it positive. (If x = 0, you can use either result, since -0 is still 0.)

The important thing to take from this is that there are 2 cases to consider: is the expression in the absolute value positive, or is it negative?

• If 2x - 1 > 0, then |2x - 1| = 2x - 1. Then the equation becomes

2x - 1 = -7

2x = -6

x = -3

• If 2x - 1 < 0, then |2x - 1| = - (2x - 1) = 1 - 2x. Then

1 - 2x = -7

-2x = -8

x = 4

The ratio of flour to water is 2 to 1 for biscuits Is Lisa has 4 cups of flour how much water should she add to make biscuits

Answers

Answer:

she should add 2 cups of water.

Step-by-step explanation:

2 : 1 = 4 : 2

Lisa should add 2 cups of water

The table represents an exponential function.
What is the multiplicative rate of change of the function?

Answers

Answer:

Step-by-step explanation:

All we are doing here is solving for the b in

[tex]y=a(b)^x[/tex], which is the standard form for an exponential function.

Use the first 2 coordinate pairs to solve for b: (1, 6) and (2, 4):

[tex]6=a(b)^1[/tex] so

[tex]a=\frac{6}{b}[/tex] and use that when you write the next equation using the next coordinate pair:

[tex]4=\frac{6}{b}(b)^2[/tex] which simplifies to

4 = 6b so

[tex]b=\frac{2}{3}[/tex], the second choice there. Another way of saying multiplicative rate is the rate of decay or the rate of growth. Same thing. This is decay since 2/3 is greater than 0 but less than 1.

Find f(-3) for f(x) = 4(2)^x
O A. -32

O B. 1/2

O C. -24

O D. 1/8

Answers

Answer:

B. 1/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Functions

Function Notation

Step-by-step explanation:

Step 1: Define

Identify

f(x) = 4(2)ˣ

Step 2: Evaluate

Substitute in x [Function f(x)]:                                                                           f(-3) = 4(2)⁻³Exponents:                                                                                                        f(-3) = 4(1/8)Multiply:                                                                                                             f(-3) = 1/2

H E L P !
Given that the Universal set is numbers 1 through 20, write the complement of the set A.

Set A : {1, 3, 7, 12, 14, 17, 19, 20}

Answers

Answer:

A' : {2, 4, 5, 6, 8, 9, 10, 11, 13, 15, 16, 18}

Find the length of side BC give your answer to three significant figures

Answers

Answer:

19.4 cm

Step-by-step explanation:

Hi there!

This is a right triangle. We're given an angle, the side adjacent to the angle and we're solving for the hypotenuse. Given this information, we can use the cosine ratio:

[tex]cos\theta=\frac{adj}{hyp}[/tex]

Plug in the given angle and side

[tex]cos71=\frac{6.3}{BC}\\BC=\frac{6.3}{cos71} \\BC=19.4[/tex]

Therefore, the length of BC is 19.4 cm when rounded to 3 significant figures.

I hope this helps!

What is the midpoint of the segment shown below?
10
O A. (-3,-11)
O B. (-9,-)
10
(-12, -3)
O C. (-9.-11)
(3.-8)
OD. (-:-)

Answers

O C. (-9.-11) is THE ANSWER

what is 3x10x178 I need help asap

Answers

Answer:

3x10=30   30x178=5,430

Step-by-step explanation:

QUESTION:- what is 3x10x178

ANSWER:-

[tex]3 \times 10 \times 178 \\ 30 \times 178 \\ 5340 \: \: answer[/tex]

HELP!!!

A car manufacturer collects data on the number of gallons of gasoline left in the gas tank after driving for different numbers of miles. The manufacturer creates a scatter plot of the data and determines that the correlation coefficient is −0.92.

Select each true statement based on this correlation coefficient.

A.) There is a weak correlation between the number of miles driven and the gallons of gasoline left in the tank.
B.) There is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.
C.) There is no correlation between the number of miles driven and the gallons of gasoline left in the tank.
D.) There is a linear correlation between the number of miles driven and the gallons of gasoline left in the tank.
E.) There is a strong correlation between the number of miles driven and the gallons of gasoline left in the tank.

Answers

The statement that is true about the variables analyzed is that there is a negative correlation between the number of miles driven and the gallons of gasoline left in the tank.

What is correlation?

This refers to the relation or connection between two or more variables. In this case:

Amount of gasolineNumber of miles

What does -0.92 mean?

This has the sign -, which shows the correlation is negative. This implies that as the number of miles increase the amount of gasoline decreases.

Learn more about gasoline in: https://brainly.com/question/12847098

#SPJ1

what is the cosine of 122.2

Answers

cosine 122.2 = -0.532876276......

Which table of values could be generated by the equation 10x+5y=15? (Will give brainlest and 21 points)

Answers

Answer:

(For the image) A

Step-by-step explanation:

The measure of the angles of a triangle are 34 degrees and 45 degrees. What is the measure of the third angle

Answers

Answer:

101

Step-by-step explanation:

A triangle can have up to at least 180*

45 + 34 = 79
180 - 79 = 101

I NEED HELPPPP PLEASE

Answers

B is the correct answer!

Can someone help me with this math homework please!

Answers

Answer:

f(n+1) = f(n) - 5

Step-by-step explanation:

Just find some relationship between 2 numbers that are next to each other.

Use the parabola tool to graph the quadratic function f(x)=−x2+4. Graph the parabola by first plotting its vertex and then plotting a second point on the parabola.

Answers

Answer:

see below

Step-by-step explanation:

f(x) = -x^2 +4

The vertex form is

y = a(x-h)^2 +k

Rewriting

f(x) = -(x-0)^2 +4

The vertex is (0,4) and a = -1

Since a is negative we know the parabola opens downward

f(x) = -(x^2 -4)

We can find the zeros

0 = -(x^2 -2^2)

This is the difference of squares

0 = -(x-2)(x+2)

Using the zero product property

x-2 =0   x+2 =0

x=2   x=-2

(2,0)  (-2,0) are the zeros of the parabola and 2 other points on the parabola

We have the maximum ( vertex) and the zeros and know that it opens downward, we can graph the parabola

Answer:

Your vertex is (4,0)

Step-by-step explanation:

the dual bar chart below shows how a group of 190 students travel to school. given that 50 students, said they travel to school by car complete the table below

Answers

The image of the bar chart is missing and so i have attached it.

Answer:

Bus = 75

Cycle = 20

Walk = 45

Step-by-step explanation:

We are told that 50 students said they travel to school by car.

However, in the bar chart, we see that we have a portion for boys and girls

Under car, when we count along the y-axis, we will see that, there are 6 units for boys and 4 units for girls.

Thus, to find the value of a unit since number of people that took cars is 50, we have;

(6x + 4x)/2 = 50

Where x is the value of one unit. Thus;

10x/2 = 50

5x = 50

x = 50/5

x = 10

Thus, a unit is 10

Under bus;

Boys have 7 units while girls have 8 units.

Thus;

Frequency by bus = ((7 × 10) + (8 × 10))/2 = 150/2 = 75

Under cycle;

Boys have 1 unit while girls have 3 units.

Thus;

Frequency by cycle = ((1 × 10) + (3 × 10))/2 = 20

Under walk;

Boys have 5 units while girls have 4 units.

Thus;

Frequency by cycle = ((5 × 10) + (4 × 10))/2 = 45

Jimmy's cedar trunk is in the shape of a rectangular prism and has a volume of 3/4 cubic yard. How many cubic blocks with a side length of 1/2 yard would Jimmy need to measure the volume of his trunk?

Answers

Answer: 6 blocks

Step-by-step explanation:

Given

Volume of the rectangular prism is [tex]V=\dfrac{3}{4}\ yd^3[/tex]

Length of the cubic block is [tex]a=\dfrac{1}{2}\ yd[/tex]

Volume of each cubic block is

[tex]\Rightarrow V_o=\left (\dfrac{1}{2}\right)^3\\\\\Rightarrow V_o=\dfrac{1}{8}\ yd^3[/tex]

Suppose, n blocks are required to measure the volume of Prism

[tex]\Rightarrow V=nV_o\\\\\Rightarrow \dfrac{3}{4}=n\cdot \dfrac{1}{8}\\\\\Rightarrow n=\dfrac{3\times 8}{4}\\\\\Rightarrow n=6\ \text{blocks}[/tex]

Thus, 6 blocks are required to measure the volume of prism.

Yes that person is correct


Joshua has a stored value card with $100
to buy food at a seafood restaurant. If he
orders 1 kg of chilli crab and 4 tiger prawns,
there will be $12 left in the value of the card.
If he orders 2 kg of chilli crab and 2 tiger
prawns, he needs to pay $28 more. How
much is left in the card or how much will he
need to pay if he orders 1.5 kg of chilli crab
and 2 tiger prawns?

Answers

Answer:

no money left (0$), but no extra payment either.

Step-by-step explanation:

x = price per kg of crab

y = price per prawn

if he orders the first list, we know $12 will be left on his card, that means the order costs 100 - 12 = $88.

1×x + 4×y = 88

for the second list we know he would have to pay $28 extra, in addition to the $100 in the card.

so, 100 + 28 = $128

2×x + 2×y = 128

x + y = 64

now we have a system of 2 equations with 2 variables. we use one equation to express one variable by the other, and that we use then in the second equation to solve it.

x = 64 - y

(64 - y) + 4y = 88

64 + 3y = 88

3y = 24

y = 24/3 = $8

=>

x = 64 - y = 64 - 8 = $56

so, if he orders 1.5 kg of crab and 2 prawns we get a cost

1.5×56 + 2×8 = 84 + 16 = $100

so, he will not have any money left in the card, but he will not have to pay anything extra either.

Can someone help me with this math homework please!

Answers

Answer:

Second option

As the x-values go to negative infinity, the function´s values go to positive. infinity.

--------------------------

Hope it helps...

have a great day!!

Answer:

(B) As the x-values go to negative infinity, the function's values go to positive infinity.

Step-by-step explanation:

The x-values the answer choices are talking about are the values on the x-axis.

Looking at the graph, when the x-values go to negative infinity (meaning it keeps on going left, or negative), the function goes up, meaning the function goes to positive infinity.

When the x-values go to positive infinity (meaning it keeps on going right, or positive), the function goes up, meaning the function goes to positive infinity.

Out of all the answer choices, only B agrees with the observations written above.

Hope that helps (●'◡'●)

Other Questions
Need to know Anwser yes or no what is one major role of political parties in u.s. politics?A. )preventing voters from learning about candidates' policy preferences B.)pushing voters to select candidates based on merit rather than personalityC.)breaking down partisan distinctions between citizens during campaignsD.)making it easier for voters to identify candidates who share their values What is the expected number of tails when a fair coin is tossed 100 times? During the 1920s and early 1930s, the Rosedale Shoe Factory was able to prevent workers from forming a union by requiring them to sign an employment contract in which they agreed not to join a union as a condition of employment. Rosedale Shoe Factory was making use of please just (c)fog- can someone help me figure out how much my final exam is weighted? in the grade book there are: 6 assignments for 10 points each52 assignments for 20 points each (its not a typo i promise there was actually 52)5 assignments for 30 points each 5 assignments for 40 points each and 1 assignment for 60 points (aka the final exam) my grade is an average of all of these different assignments combined. How much is my exam weighted- can you even calculate this? (i just want to know so i can see what score i need to get to pass with an a) how do i establish this identity? Describe your career goals and how do you hope to achieve them? In a quantitative analysis, a methanol (CH3OH) contaminated water sample was titrated with 0.0021 mol L- potassium permanganate (KMnO4). 50.00 mL samples of the water to be tested were acidified by sulfuric acid, then titrated with the permanganate solution. The results are shown below. Burette reading, ml 1st titration 2nd titration 3rd titration 4th titration Final volume 12.40 19.60 26.60 17.25 Initial volume 4.45 12.50 19.60 10.15 Titre 7.95 7.10 7.00 7.10 The complete equation for the redox titration reaction is: 4MnO4- + 12H+ + 5CH3OH 4Mn2+ + 11H2O + 5HCOOH a. [5] Calculate the concentration of the methanol in mol L-1. by which large pieces of food are cut and crushed intosmaller pieces is calleda. emulsification b. chemical digestionc. absorption de mechanical d5. The tube that connects the mouth to the stomach is thea. esophagus. b.epiglottisc. peristalsis. d. pancreas.5. The hard, outer coating of the tooth is calleda, a molar.b. enamel.c. an enzyme. d. dentin- The building blocks of proteins area. enzymes. b. minerals,c. amino acids, d. molecules5. Which of the following vitamins is made by the body?a. vitamin D- b. vitamin A c. vitamin C d. vitamin B. Having too little of the mineral iron can causea. rickets.b. goiter.c. anemia d. beriberi.The wavelike motion that moves food through the digestive tract is calleda. emulsification b. digestion. c. oxidation d. peristalsis.. The enzyme that digests proteins is calleda. gastric juice. b. pepsin. c. chyme. d. lipase.Food leaves the stomach in a thick, liquid form calleda. chyme. b. bile . pepsin.d. salivaThe movement of food molecules from the digestive system to the blood is calleda. emulsification. b. chemical digestion. c. absorption d. peristalsis.Gastric juice contains all of the following excepta. hydrochloric acidb. mucus c. pepsind. bileThe process by which large food molecules are broken down into smaller foodmolecules isa. chemical digestion. b. oxidation c. mechanical digestion d. absorptiond. mouthFats are digested in thea. large intestine b. small intestine. c. stomach.Poor nutrition caused by an unbalanced diet is calleda. rickets. b. anemia. c. malnutritiond. goiter.The fingerlike projections on the lining of the small intestine are calledh ciliad. villi.c. bile Which of the following was likely the cause of the innovation of the car airbag?Select one:a. Powerb. Luckc. Wealthd. Basic necessity find two number nearest to 8888888 which are exactly divisible by 2915 6.17 greater or less 61 87/100 11. PLEASE HELP MEA ball is thrown into the air with an upward velocity of 48 ft/s. Its height h in feet after t seconds is given by the function h= -16t2 + 48t + 6. In how many seconds does the ball reach its maximum height? Round to the nearest hundredth if necessary. What is the balls maximum height?A. 1.5 s; 42 ftB. 1.5 s; 114 ftC. 3 s; 6 ftD. 1.5 s; 54 ft find the expression for the displacement covered in nth or in last one second A(6, -5) and B(-1, 2) in the ratio of 2:5 The area of a square is 64 cm2 then find it's perimeter. solve the absolute value 4=1+(2-1/4w) Find an equation for the line with the given properties. x-intercept = 2; y-intercept = -3. y = Please help me with this