For the function, tell whether the graph opens up or opens down, identify the vertex, and tell whether the graph is wider, narrower, or the same width as the graph of y = |x|.

y = 2|x – 1| - 3



opens up, (1, 3), wider

opens up, (1, 3), narrower

opens up, (-1, -3), wider

opens up, (1, -3), narrower

Answers

Answer 1

Answer:

The answer is D, the last one.

Answer 2

9514 1404 393

Answer:

  (d)  opens up, (1, -3), narrower

Step-by-step explanation:

The factor of +2 multiplying the function tells you the graph is expanded vertically by a factor of 2. The parent function opens upward, and the positive sign on this expansion factor does not change that. The expansion means that y-values will be farther from the vertex for the same x-value distance from the vertex. This give the appearance of a narrower graph.

As always, the transformation ...

  f(x -h) +k

moves the vertex from (0, 0) to (h, k). Here, you have (h, k) = (1, -3), so that is the location of the vertex of the transformed function.

For The Function, Tell Whether The Graph Opens Up Or Opens Down, Identify The Vertex, And Tell Whether

Related Questions


2. What facts are needed to solve the problem?

Answers

Answer:

firstly we have to identify the problems, understand carefully and chose the best way to solve problems.

A decorative wall in a garden is to be built using bricks that are 5 1/2 inches thick and mortar joints are 1/4 inch thick. What is the height of the wall?

Answers

Step-by-step explanation:

SAVE

HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS

How to Calculate How Many Bricks to Build a Wall

By KELVIN O'DONAHUE

Hunker may earn compensation through affiliate links in this story.

...

To estimate the number of bricks needed to build a wall, first measure a single brick.

A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the order.

Step 1

Measure the length and thickness of one of the bricks that will be used in the wall. A standard brick is 2-1/4 inches wide and 7-1/2 to 8 inches long. Add 1/2 inch to both the length and thickness to account for the mortar joint between adjacent bricks. For example, a brick that is 2-1/4 inches by 7-1/2 inches, plus mortar joints, will occupy 2 3/4 inches by 8 inches.

Step 2

Measure the length of the space for the wall and convert the number to inches. Divide the length in inches by the length of a brick plus mortar joint. For example, a wall 36 feet, 8 inches long is 440 inches long (36 X 12 = 432 + 8 = 440). Each course (single layer) of bricks will need 440 / 8 = 55 bricks.

SAVE

HOME HACKS & ANSWERSBUILDING & REMODELINGWALLS

How to Calculate How Many Bricks to Build a Wall

By KELVIN O'DONAHUE

Hunker may earn compensation through affiliate links in this story.

...

To estimate the number of bricks needed to build a wall, first measure a single brick.

A wall built from brick not only adds security and strength to your property, it also provides a pleasing geometric backdrop for the landscaping. Because of the bricks' size and weight, homeowners generally arrange to have the amount needed for a large project delivered by the masonry company or lumberyard. Doing so requires that you estimate the number of bricks needed before placing the orderStep 3

Determine the desired height of the wall in inches, and divide the height by the thickness of a brick and mortar joint. For example, a wall 72 inches tall requires 26.18 courses of 2-3/4-inch-wide bricks; rounded up to 27 courses.

Step 4

Multiply the number of bricks per course (55) by the number of courses (27) to obtain the number of bricks in a single-thickness wall or veneer. For our example, the number is 1,485 bricks. Double that number for a double-thickness wall. Bricklayers generally add 5 percent to the estimate to cover broken or wasted bricks, for about 1,560 bricks in this case

On Monday, Ray had $153.75 in his bank account. On Tuesday, he withdrew $71.00 from his account. After depositing #292.50 on Wednesday, how much money did Ray have in his account

Answers

Answer:

$375.25

Step-by-step explanation:

[tex]===========================================[/tex]

Withdrew- taking out money (-)

Deposit- putting in money (+)

[tex]===========================================[/tex]

Ray started off with 153.75. He withdraws (-) 71.

[tex]153.75-71=82.75[/tex]

Then he deposits (+) 292.5.

[tex]82.75+292.5=375.25[/tex]

That's your answer!

I hope this helps ❤

Determine how much interest you would earn on the following investment:
$190,000 invested at a 6.9% interest rate for 9 months.

Answers

$9832.5

(190000 * 9 * 6.9%) / 12 = 9832.5

The mean number of words per minute (WPM) typed by a speed typist is 149 with a standard deviation of 14 WPM. What is the probability that the sample mean would be greater than 147.8 WPM if 88 speed typists are randomly selected

Answers

Answer:

78.81%

Step-by-step explanation:

We are given;

Population mean; μ = 149

Sample mean; x¯ = 147.8

Sample size; n = 88

standard deviation; σ = 14

Z-score is;

z = (x¯ - μ)/(σ/√n)

Plugging in the relevant values;

z = (147.8 - 149)/(14/√88)

z = -0.804

From z-distribution table attached, we have; p = 0.21186

P(X > 147.8) = 1 - 0.21186 = 0.78814

In percentage gives; p = 78.81%

6. Two cell phone companies charge a flat fee plus an added cost for each minute or part of a minute used. The cost is represented by C and the number of minutes is represented by t.
Call-More: C = 0.40t + 25 Talk-Now: C = 0.15t + 40
a) Which company is cheaper if a customer talks for 50 minutes. (1 mark)
b) Under what conditions do the two companies charge the same? (3 marks)
c) Under what conditions is Talk-Now better? Explain

Answers

Answer:

Call More is cheaper at 50 minutes

The two companies would charge the same for 60 minutes of use.

Talk Now is cheaper the more minutes you talk. At some point the rate of change of Call More makes it more expensive. That point is just after their costs are even.

Step-by-step explanation:

On Monday, 27 adults visited an amusement park. On Tuesday, 23 adults visited the amusement park. The enterance fee for the adults is Rs. 100. How much amount is collected from the adults in these two days?

PLEASE TELL FULL SOLUTION. ​

Answers

Answer:

5000

Step-by-step explanation:

Add the number of adults first: 27+23=50

Then multiply the number of adults by 100 for the fee.

50*100 = 5000

Answer:

within the two days a total of 5000$ where collected in the two days

Solution:

R= 100 per adult

1 adult = 100

27(R)+ 23(R) = 27(100)+ 23(100)

27(100)+23(100) =5000

or add both 27 and 23 and multiple by 100

50•100 = 5000

jeremy drove to work with the average speed of 42 miles per hour. if he had driven with the speed of 48 mph, he would have arrived 10 minutes earlier. how far is it from his home to work?

Answers

9514 1404 393

Answer:

  56 miles

Step-by-step explanation:

Let d represent the distance in miles. Then the drive time in hours is ...

  d/42 = d/48 +10/60

  8d = 7d +56 . . . . . . . . multiply by 336

  d = 56

The distance from Jeremy's home to work is 56 miles.

_____

At 42 mph, his commute time is 1 hour 20 minutes.

Give an example of a function with both a removable and a non-removable discontinuity.

Answers

Answer:

(x+5)(x-3) / (x+5)(x+1)

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator.  It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x.  In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.

If f(x) =4x2 - 8x - 20 and g(x) = 2x + a, find the value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

Answers

Answer:

The possible values are a = -2.5 or a = 4.5.

Step-by-step explanation:

Composite function:

The composite function of f(x) and g(x) is given by:

[tex](f \circ g)(x) = f(g(x))[/tex]

In this case:

[tex]f(x) = 4x^2 - 8x - 20[/tex]

[tex]g(x) = 2x + a[/tex]

So

[tex](f \circ g)(x) = f(g(x)) = f(2x + a) = 4(2x + a)^2 - 8(2x + a) - 20 = 4(4x^2 + 4ax + a^2) - 16x - 8a - 20 = 16x^2 + 16ax + 4a^2 - 16x - 8a - 20 = 16x^2 +(16a-16)x + 4a^2 - 8a - 20[/tex]

Value of a so that the y-intercept of the graph of the composite function (fog)(x) is (0, 25).

This means that when [tex]x = 0, f(g(x)) = 25[/tex]. So

[tex]4a^2 - 8a - 20 = 25[/tex]

[tex]4a^2 - 8a - 45 = 0[/tex]

Solving a quadratic equation, by Bhaskara:

[tex]\Delta = (-8)^2 - 4(4)(-45) = 784[/tex]

[tex]x_{1} = \frac{-(-8) + \sqrt{784}}{2*(4)} = \frac{36}{8} = 4.5[/tex]

[tex]x_{2} = \frac{-(-8) - \sqrt{784}}{2*(4)} = -\frac{20}{8} = -2.5[/tex]

The possible values are a = -2.5 or a = 4.5.

If a seed is planted, it has a 90% chance of growing into a healthy plant. If 12 seeds are planted, what is the probability that exactly 2 don't grow

Answers

Answer:

0.2301 = 23.01% probability that exactly 2 don't grow.

Step-by-step explanation:

For each seed planted, there are only two possible outcomes. Either it grows into a healthy plant, or it does not. The probability of a seed growing into a healthy plant is independent of any other seed, which means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

90% chance of growing into a healthy plant.

This means that [tex]p = 0.9[/tex]

12 seeds are planted

This means that [tex]n = 12[/tex]

What is the probability that exactly 2 don't grow?

So 12 - 2 = 10 grow, which is [tex]P(X = 10)[/tex]. Then

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 10) = C_{12,10}.(0.9)^{10}.(0.1)^{2} = 0.2301[/tex]

0.2301 = 23.01% probability that exactly 2 don't grow.

6. Lerato wants to purchase a house
that costs R 850 000. She is required to
pay a 12% deposit and she will borrow
the balance from a bank. Calculate
the amount that Lerato must borrow
from the bank.​

Answers

Answer:

J

Step-by-step explanation:

Answer: 748,000

Step-by-step explanation: Multiply 850,000 by 0.12 and you would get 102,000 then you would subract 102,000 from 850,000 getting 748,000

PLEASE I NEED SO MUCH HELP HERE!!!!!!

Answers

The answer is 1.5 I think

Dr. Smith is interested in the relationship between nicotine and hand steadiness. Two groups participated in the experiment. One group smoked 5 cigarettes in an hour, while another group read during the same hour. Participants are then tested on the hand steadiness apparatus (yielding a score with the number of errors made). What is the independent variable

Answers

Answer:

Exposure to nicotine is the independent variable

Step-by-step explanation:

An independent variable is a factor that remains unchanged (by other factors in the experiment) throughout the course of an experiment. It can however be manipulated by the researcher. A dependent variable, on the other hand, is the factor being measured that relies on the independent variable. In the case above, exposure to 1 hr of nicotine intake forms the independent variable while the levels of hand steadiness, which will be measured, form the dependent variable.

what is the quotient?

Answers

3rd one down❤️‍❤️‍❤️‍❤️‍❤️‍❤️‍

Answer:

the result gaven by dividing one number by another

PLZ PLZ HELP
Mark is investing $47,000 in an account paying 5.26% interest compounded continuously.
What will Mark's account balance be in 17 years?
O $114,932.80
$114,925.39
$114,921.47
$114.925.46

Answers

Answer: Choice A) 114,932.80

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

Work Shown:

A = P*e^(r*t)

A = 47000*e^(0.0526*17)

A = 114,932.799077198

A = 114,932.80

Notes:

P = 47,000 is the principal or amount depositedr = 0.0526 is the decimal form of 5.26%The "e" refers to the special constant e = 2.718... which is similar to pi = 3.14... I would let your calculator handle this constant. There should be a button labeled "e".

Mark's account balance after 17 years would be $114,932.8

What is the formula for the continuous compounding?

[tex]A=Pe^{rt}[/tex]

where,

A = Accrued amount

P = Principal amount

r = interest rate as a decimal

R = interest rate as a percent

r = R/100

t = time in years

For given question,

P = $47000, t = 17 years

R = 5.26%

[tex]\Rightarrow r =\frac{5.26}{100}\\\\\Rightarrow r = 0.0526[/tex]

Using the Continuous Compounding Formula,

[tex]\Rightarrow A=Pe^{rt}\\\\\Rightarrow A=47000\times e^{0.0526\times 17}\\\\\Rightarrow A=114932.8[/tex]

Therefore, Mark's account balance after 17 years would be $114,932.8

Learn more about the Continuous Compounding here:

https://brainly.com/question/24246899

#SPJ2

if an angle is bisected to form two new 20 degree angles, what was the measure of the original angle?

Answers

Answer:

10 degrees

Step-by-step explanation:

The angle bisected so that mean it was divided into 2 parts, so if it's  20 degree angles bisected it's divided by 2:

20/2= 10°

So the measure of the original angle is 10° degrees!

Answer:40

Step-by-step explanation: i took the lesson this was the answer

Myrtle Air Express decided to offer direct service from Cleveland to Myrtle Beach. Management must decide between a full-price service using the company’s new fleet of jet aircraft and a discount service using smaller capacity commuter planes. It is clear that the best choice depends on the market reaction to the service Myrtle Air offers. Management developed estimates of the contribution to profit for each type of service based upon two possible levels of demand for service to Myrtle Beach: strong and weak. The following table shows the estimated quarterly profits (in thousands of dollars):
Demand for Service
Service Strong Weak
Full price $960 -$490
Discount $670 $320
1. What is the decision to be made, what is the chance event, and what is the consequence for this problem?
2. How many decision alternatives are there?
Number of decision alternatives =
3. How many outcomes are there for the chance event?
Number of outcomes =
4. If nothing is known about the probabilities of the chance outcomes, what is the recommended decision using the optimistic, conservative, and minimax regret approaches?
a. Optimistic approach
b. Conservative approach
c. Minimax regret approach

Answers

here i attached the answer

The decision to be made is the type of service to be provided. The chance event is the level of demand for the air service.

What is Air Service?

The services performed by an airline, as flights between various destinations to transport passengers, freight, and mail.

The decision to be made is the type of service to be provided. The chance event is the level of demand for the air service. The consequence can be considered as the amount of quarterly profit. Full price and discount price services are two decision alternatives. The number of outcomes for chance event is two, which are strong demand and weak demand.

Learn more about Airline Service from:

https://brainly.com/question/14725385

#SPJ2

Peter is 8 years younger than Alex. In 9 years time, the sum of their ages will be 76 . How old is Alex now?

Answers

Answer:

Peter is a-8 in 9 years, (a-8)+ 9+ a+ 9= 76

Answer:

P = 25

A = 33

Step-by-step explanation:

P + 8 = A

P + 9 + A + 9 = 76

P + A = 58

~~~~~~~~~~~~~~

P = 58 - A

P = 58 - P - 8

2 P = 50

P = 25

A = 33

How to solve this problem what do I do

Answers

Answer:  P + 6 - s

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

Explanation:

We undo the "minus 6" by adding 6 to both sides.

Also, we undo the "+s" by subtracting s from both sides

-----------

So we have these steps

P = r+s-6

P+6 = r+s-6+6 .... adding 6 to both sides

P+6 = r+s

r+s = P+6

r+s-s = P+6-s ..... subtracting s from both sides

r = P + 6 - s

Answer:

P+6-s=r

Step-by-step explanation:

Hi there!

We are given the equation P=r+s-6 and we need to solve for r

To do that, we need to isolate r onto one side, and have everything else on the other.

Here is the equation:

P=r+s-6

start by adding 6 to both sides to clear it from the right side

P+6=r+s

now subtract s from both sides to clear it from the right side

P+6-s=r

now everything that isn't r is on the left side, and r is by itself on the right side. P+6-s=r is the answer.

Hope this helps!

If U= {1,2,3,......8} , A={1,4,6,7} , B= {2,4,5,7} & C= {3,5,6,7} prove that 1) An( BUC ) = ( AnB) U ( AnC ). 2) AU (BnC)= (AUB) n ( AUC )

Answers

Step-by-step explanation:

BUC={2,3,4,5,6,7}

An(BUC)={4,6,7}

AnB={4,7},AnC={6,7}

(AnB)U(AnC)={4,6,7}

Au(BnC)={1,4,5,6,7}

(AUB)n(AUC)= {1,4,5,6,7}

the old building at the back of the school is badly in need of repair. the company Hsa and the executive are planning to renovate the building to accommodate a new music room. There are 15 rooms in the building and the dimension of the rooms to be redone with tiles are 6m long and 4 m wide. ted the tile man has 500 one meter square tiles.
Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?
How many tiles, each measuring 1 square meter, are needed to cover one room floor?
How many tiles are needed to cover all the floors in the entire building? Show your work? ​

Answers

Answer:

a. If the area of the tiles is greater than or equal to the area of all the rooms.

b. 24

c. 360

Step-by-step explanation:

a. Explain how you would estimate whether Ted has enough tiles to cover all the kitchen floors in the entire apartment building?

Ted would have enough tiles if the  area of the tiles is greater than or equal to the area of all the rooms. Since we have 500 one meter square tiles, we have 500 m² of tiles.

Since the rooms are 6 m long and 4 m wide, the area of each room is 6 m × 4 m = 24 m². Since there are 15 rooms, the area of all the rooms is 15 × 24 m² = 360 m².

Since the area of the tiles = 500 m² is greater than the area of the rooms = 360 m², Ted would have enough tiles to cover all kitchen floors in the entire apartment building.

b. How many tiles, each measuring 1 square meter, are needed to cover one room floor?

Since the area of each room floor is 24 m² and the area of each tile is 1 m², so the number of  1 square meter tiles needed to cover each floor is n = area of floor/area of tile = 24 m²/1 m² = 24.

c. How many tiles are needed to cover all the floors in the entire building?

Since 24 tiles are needed to cover each floor and there are 15 rooms in the building, we would require 24 tiles/room × 15 rooms/building = 360 tiles.

So we require 360 tiles.

Which sequence is geometric?
O 1,5, 9, 13, ….
O 2, 6, 8, 10, ...
O 5, 7, 9, 11, ....
O 4, 8, 16, 32, ….

Answers

Answer:

4, 8, 16, 32, ...

Step-by-step explanation:

8 / 4 = 2

16 / 8 = 2

32 / 16 = 2

Common ratio is 2

So, The sequence 4, 8, 16, 32, …. is geometric.

Answer: 4, 8, 16, 32…

Explanation: A geometric sequence is a sequence of non-zero numbers what increase or decrease with a common ratio

Hope this helped!!

Which of the following best describes the relationship between angle a and angle bin the image below?

Answers

They are adjacent angles and linear pairs.
The are adjacent angles and linear pairs

The hypotenuse of a 45°, 45°, and 90° triangle is 26 sqrt(2) inches. What is the length of each of the other sides?
(A)13 sqrt(2) inches
(B)13 inches
(C)13 sqrt(3) inches
(D)26 inches

Answers

remember the pythagorean theorem:

a² + b² = c²

where c is the hypotenuse.

so:

[tex] {a}^{2} + {b}^{2} = { ( \sqrt{26)}}^{2} [/tex]

the square and the square root cancel each other out, so...

a² + b² = 26

we know that a and b are of equal length given the angles.

so it's

[tex] { \sqrt{13} }^{2} + { \sqrt{13} }^{2} = 26[/tex]

here the squares and square roots also cancel, but to keep the equation from the formula true we need to write them. that makes the difference between optional and B

Option A is correct,

[tex] \sqrt{13} inches[/tex]

1. Which of the following ARE integers? (choose ALL that are integers
a. 35%,
b.-10,
c. 34,
d. 0.25,
e. 3105.

2. Which integer is between -3 and 4? (choose ONE answer)
a. 10
b. 3.14
c. O

Answers

Answer:

(1) -10, 34 and 3105

(2) 0

Step-by-step explanation:

Solving (a): Select all integers

The integers are numbers without decimal.

So, we have: -10, 34 and 3105

Other options are not integers

Solving (b): Select all integers between -3 and 4

Using the same explanation in (1) but with the range of -3 and 4. the integer is 0.

Other options are not integers

F(x) =-2x-4 find x if f(x)=14

Answers

Answer:

14=-2x-4

18=-2x

x=-9

Hope This Helps!!!

A coordinate plane with a line passing through the points (0, negative 1, 0) and (4, 0).
What is the equation of the graphed line written in standard form?

x – 4y = 4
x + 4y = 4
y = y equals StartFraction one-fourth EndFraction x minus 1.x – 1
y = –y equals negative StartFraction one-fourth EndFraction x minus 1.x – 1

Answers

Answer:

x-4y=4

Step-by-step explanation:

The equation of a straight line is in slope intercept form:

y = mx + b;

where y and x are variables, m is the slope of the line and b is the y intercept.

The standard form of a line is:

Ax + By = C

where A, B and C are constants, x and y are variables

The equation of a straight line passing through the points (x₁, y₁) and (x₂, y₂) is given by:

[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\\[/tex]

Given that a line passes through the points (0, -1) and (4, 0), the equation of the line is given by:

[tex]y-(-1)=\frac{0-(-1)}{4-0} (x-0)\\\\y+1=\frac{1}{4} x\\\\y=\frac{1}{4} x-1\\\\4y=x-4\\\\x-4y=4[/tex]

Answer:

Step-by-step explanation:

anyone have sna pc hat ??


mine is rince9253​

Answers

Answer:

Yeah the answer is n o .

Answer:

yes i do have but i dont use it

what Is an equation of the line that passes through points (-12 -8) (-17 -16) ​

Answers

First we determine the slope of the equation.
m=y2-y1/x2-x1
=-16-(-8)/-17-(-12)
=-16+8/-17+12
=-8/-5
=8/5

Then we find the y-intercept or b of the equation.
(-12,-8). (-17,-16)
y=mx+b. y=mx+b
-8= 8/5*-12+b. -16=8/5*-17+b
-8= -96/5+b. -16=-136/5+b
b= -96/5+8. b=-136/5+16
b= -56/8. b=-56/5
b=-7

y=8/5x-7. y=8/5x-56/5
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