What is the horizontal and vertical shift for the absolute value function below?
f(x) = |x -5|+ 1

Answers

Answer 1

Answer:

Moving to the right by 5 units

Moving up by 1 unit

Step-by-step explanation:

The basic absolute value function is f(x) = |x|

The graph vertex is at the origin.

Adding a value inside the absolute value brackets changes the vertex of the graph horizontally.

Adding a term moves it to the leftSubtracting a term moves it to the right

Adding a value outside the absolute value brackets changes the vertex vertically.

Adding a term moves it upSubtracting a term moves it down

Here, in the absolute value, we are subtracting by 5, so we move to the right 5

Outside the brackets, we are adding 1, so we move up 1.

-Chetan K


Related Questions

A sociologist sat married couples down in her office and asked some survey questions for her statistical study on marriage. The first married couple was Bonnie and Clyde. Bonnie sat down next to her husband while the sociologist sat across the table from them both. The sociologist asked each the question, if you could return to the past, would you marry your spouse all over again?" This was continued for several other married couples. This is not a good way to conduct this survey and most likely will not give representative results of all married couples. Why not?

Answers

Answer:

Step-by-step explanation:

I am married. I can tell you, I'd never give any answer but yes, no matter how I felt about her at the time.

Why hurt her feelings?Why lock her answer in? As soon as she hears my answer, she knows what her answer needs to be. Or she's pressured into giving that answerBecause the answer is so likely to be the same way, how would this question pick up on the couples that despise each other?

Solve 4/5 + 3/15 - 2/3

Answers

Answer:

1/3

Step-by-step explanation:

Pls help!! I need help

Answers

Answer:

Step-by-step explanation:

I'm going to guess that the question is "How do you represent the distance between the left and right sides?"

The red dots are closed which means that the end points are included.

5 ≤  x  ≤  8

The length is 8 - 5 = 3

PLEASE HELP THIS IS FOR MY MATH PROJECT
A family with 3 adults and 3 children purchase 6 lines each for $35 at ATT. Another family with 2 adults and 4 children purchase 6 lines each for $25 at A-Mobile. How much will the adults’ lines cost at both companies?

we had to come up with our own systems and this is the word problem i chose. does it work?

Answers

Answer:

Multiplying the lines and the cost.

Step-by-step explanation:

35$ times 6 is 210. 25$ times 6 is 150. This is the cost of both companies.

Mandy and Joshua work together on Market Day at their school. They split the profit according to the ratio 2 : 3 respectively. They make a profit of R825.Calculate the amount Mandy will receive.

Answers

Answer:

R330

Step-by-step explanation:

2 + 3 = 5

5x = 825

2x = 825 x 2/5

825 x 2 = 1650

1650/5 = 330

Mandy makes R330.

Mandy's share from the profit is R495

Data;

Profit = R825ratio = 2:3Ratios

This is the portion shared between two or more entities in a definite proportion.

To find Mandy's share, let's add 2 and 3 and then take the fraction of 3/5 and multiply it by the profit made.

[tex]2 + 3 = 5\\\frac{3}{5} * 825 = 495[/tex]

Mandy's share from the profit is R495

Learn more on ratio here;

https://brainly.com/question/2914376

7, 11, 2, 18. What number continues the pattern?

Answers

Answer:

-7

Step-by-step explanation:

Seems like the pattern is adding and then subtracting the next square number up:

7 + 4 = 11

11 - 9 = 2

2 + 16 = 18

so 18 - 25 = -7 is the next number

HELP! How do I complete this table?

Answers

Answer:

6 1/2

Step-by-step explanation:

i don't know the rest but I know that that one might be 6 1/2

tell me the answer pls I'll give brainliest ​

Answers

Answer:

Reflection across y

Step-by-step explanation:

Y is the line up and down. Each shape is a reflection of each other across this line.

Reflection across the y axis

Leandro has a piece of fabric that is 56 centimeters long and 6 centimeters wide. He cuts it into pieces that are 8 centimeters long and 2 centimeters wide

Answers

Answer:

so therefore the final answer will be 16

A plumber charges £140 for a 4 hour job. How much does the plumber charge for a 3 hour job?

pls give explanation and working out.
thnx :)

Answers

€105
pls mark it brainliest

-4 2/3 divided by 1 5/9

Show work

Answers

let's firstly convert the mixed fractions to improper fractions and then divide them.

[tex]\stackrel{mixed}{4\frac{2}{3}}\implies \cfrac{4\cdot 3+2}{3}\implies \stackrel{improper}{\cfrac{14}{3}} ~\hfill \stackrel{mixed}{1\frac{5}{9}}\implies \cfrac{1\cdot 9+5}{9}\implies \stackrel{improper}{\cfrac{14}{9}} \\\\[-0.35em] ~\dotfill\\\\ -\cfrac{14}{3}\div\cfrac{14}{9}\implies -\cfrac{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}{3}\cdot \cfrac{9}{~~\begin{matrix} 14 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}\implies -\cfrac{9}{3}\implies -3[/tex]

Answer:

-3

Step-by-step explanation:

Lets convert 4 2/3 to an improper fraction

-(4 * 3/3 + 2/3)/1 5/9

Combine 4 and 3/3

-(4 * 3/3 + 2/3)/1 5/9

Combine numerator over denom

-4 * 3 + 2/3/1 5/9

Simplify numerator

-12 + 2/3/1 5/9

Add 12 and 2

-14/3/1 5/9

Now we convert 1 5/9 to an improper.

-14/3/(9/9) + (5/9)

Combine

-14/3/(9 + 5)/9

Add 9 and 5

-14/3/(14/9)

Multiply yhe numerator by the reciprocal of the denom

-14/3 * 9/14

14(-1)/3 * 9/14

-1/3 * 9

Cancel the common factor of 3

-1/3 * (3(3))

-1 * 3 = -3

What is the solution for the equation

Answers

Answer:

b = 0b = 4

Step-by-step explanation:

[tex] \frac{5}{ {3b}^{3} - {2b}^{2} - 5 } = \frac{2}{ {b}^{3} - 2 } \\ 5( {b}^{3} - 2) = 2( {3b}^{3} - {2b}^{2} - 5) \\ {5b}^{3} - 10 = {6b}^{3} - {4b}^{2} - 10 \\ 10 - 10 = {6b}^{3} - {5b}^{3} - {4b}^{2} \\ 0 = {b}^{3} - {4b}^{2} \\ 0 = {b}^{2} (b - 4) \\ [/tex]

b = 0 or b - 4 = 0

b = 0

b = 4

What is the factorization of the polynomial below ? 16x2 -9

Answers

Answer:

(4x + 3)(4x - 3)

Step-by-step explanation:

I am going to assume by 16x2 -9 you mean 16x² - 9

     The factorization means the factors are "broken" up. If you multiply them together, we will reach 16x² - 9 again.

     First, we can look at factors of 9. This gives us 1, 3, and 9. We will use 3. Since the nine is negative, one will be + 3 and one will be - 3 since a negative times a positive is a negative.

(   + 3)(   - 3)

     Last we can factor the 16x² portion. I know that 4 times 4 is 16, and 4x times 4x is 16x².

(4x + 3)(4x - 3)

Have a nice day!

     I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.

- Heather

HELP ME PLEASE
The relationship between altitude and the boiling point of a liquid is linear. At an altitude of 8400ft, the liquid boils at 202.92°F. At an altitude of 4400ft, the liquid
boils at 207.72°F. Write an equation giving the boiling point b of the liquid, in degrees Fahrenheit, in terms of altitude a, in feet. What is the boiling point of the
liquid at 2200 ft?

Answers

Answer:(a) getting the equation:

We'll assume that the altitude is represented by the x-axis and that the boiling point is represented by the y-axis.

Therefore, we have two given points:

(8400 , 200.4) and (4200 , 206.7)

Since the relation is linear, therefore, the graph forms of straight line with the general equation:

y = mx + c where m is the slope and c is the y-intercept.

First, we will calculate the slope:

m = (y2-y1) / (x2-x1) = (206.7 - 200.4) / (4200 - 8400) = -0.0015

Therefore, the equation of the line now is:

y = -0.0015x + c

Then, we will need to calculate the y-intercept. In order to do so, we will use any give point and substitute in the previously obtained equation as follows:

y = -0.0015x + c

206.7 = -0.0015(4200) + c

c = 213

Based on the above calculations, the equation of the line is:

y = -0.0015x + 213

(b) getting the boiling point at altitude = 2100 ft:

Now, in order to calculate the boiling point at altitude 2100, we will substitute in the equation of the line as follows:

y = -0.0015(2100) + 213 = 209.85 degrees Fahrenheit

Step-by-step explanation:

Math Help Help Fast Alot of points

Answers

Here mark the angles

m<FHG=75m<FGH=55m<GHI=59°m<GIH=63°

By using angle sum property

m<IGH=180-122=58

So

m<FGH < m<IGH <m<GHI <m<GIH <m <FHG

So

FH<IH<GI<GH<FG

Answer:

IH < GI < GH < FH < FG

Step-by-step explanation:

Find missing angles

Sum of interior angles of a triangle = 180°

⇒ ∠GFH = 180 - 55 - 75 = 50°

⇒ ∠IGH = 180 - 59 - 63 = 58°

Side lengths in relation to interior angles

The longest side of a triangle is opposite the largest interior angle, and the shortest side is opposite the smallest angle.

Therefore, angles/sides in order of least to greatest:

ΔIGH

∠IGH = 58  →   its opposite side is IH

∠GHI = 59  →   its opposite side is GI

∠G|H = 63  →   its opposite side is GH

Therefore,  IH < GI < GH

ΔFGH

∠GFH = 50  →  its opposite side is GH

∠FGH = 55  →   its opposite side is FH

∠FHG = 75  →   its opposite side is FG

Therefore, GH < FH < FG

Combining:  IH < GI < GH < FH < FG

Evaluate the expression. 12 (6) + 1/4 2² = what?​

Answers

The answer is 73 simplify
The answer is 73 because 12 times 6 is 72+ 1/4 times 2 times 2 and 2 times 2 equals 4 and 1/4 of that is 1 so it’s 72+1=73

Solve the following equation

Answers

Answer:

n = -13

Step-by-step explanation:

38 = -2n + 12

Subtracting 12 from both sides:

==> 38 - 12 = -2n + 12 - 12

==> 26 = -2n

multiplying both sides by (-1):

==> -26 = 2n

dividing both sides by 2:

==> -13 = n

Answer:

Step-by-step explanation:

38 = -2n + 12

26 = -2n

n = 26 : (-2)

n = -13

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

check

38 = -2 * (-13) + 12

38 = 26 + 12

38 = 38

the answer is good

MODELING WITH MATHEMATICS The Uniform
Federal Accessibility Standards specify that a
wheelchair ramp may not have an incline greater
than 4.76°. You want to build a ramp with a vertical
rise of 8 inches. You want to minimize the horizontal
distance taken up by the ramp. Draw a diagram
showing the approximate dimensions of your ramp.

Answers

The length of the ramp is  96.5

SOH CAH TOA identity

Given the following parameters from the question

The vertical rise of the ramp = 8 inches

The angle of elevation =  4.76°.

Required

length of the ramp

Using the SOH CAH TOA identity;

tan theta = opp/hyp

sin4.76 = 8/H
H = 8/sin4.76

H = 8/0.0829

H = 96.5

Hence the length of the ramp is  96.5

Learn more on SOH CAH TOA here; https://brainly.com/question/20734777

Substitute this simultaneous linear equation
[tex]2x + 2y = 14 \\ 5x - 2y = 14[/tex]

Answers

Answer:

[tex]2x + 2y = 14 \: .....(1) \\ \\ 5x - 2y = 14 \: .....(2) [/tex]

From equation (1) ;

[tex]2x + 2y = 14 \\ \\ 2y = 14 - 2x \\ \\ y = \frac{14 - 2x}{2} \\ \\ y = 7 - x[/tex]

Substitute in equation (2)

[tex]5x - 2y = 14 \\ \\ 5x - 2(7 - x) = 14 \\ \\ 5x - 14 + 2x = 14 \\ \\ 7x = 14 + 14 \\ 7x = 28 \\ \\ x = \frac{28}{7} \\ \\ x = 4[/tex]

[tex]y = 7 - x \\ y = 7 - 4 \\ \\ y = 3[/tex]

Find the area of the shaded region.

Answers

Answer:

SOLUTION,

HERE,

Area of whole fig= l×b

=5×15

=75 sq.in

Area of unshaaded part=l×b

=3×8

=24 sq.in

Area of shaded part=(Area of whole fig)-(Area of unshaded part)

=75-24

=51 sq.in

hope it helps u :)

PLEASEEE ASAP! I WILL CHOOSE BRAINLIST! I HAVE 5 MORE MATH QUESTIONS! Mackenzie buys 13 bottles of apple juice at the corner store for a total cost of $9.23. Assume each bottle of juice is the same price. If c represents the total cost in dollars and cents of the juice for any number, j, of bottles of juice

Answers

Answer:

c = ?

j = 13 bottles

c × j = $9.23

c = $9.23 ÷ j

= $9.23 ÷ 13

= $0.71 / 71 cents

Answer:

$0.71

Step-by-step explanation:

If c x j = $9.23 and j is 13, then c is  $9.23/13

$9.23/13 = $0.71

=$0.71

chanda wants to put 150 square metres of garden at her backyard. This is the maximum area of garden she can have. She wants to have a rectangular area of garden with length one metre less than 3 times with the width. Find the length and width to the nearest tenth of a metre​

Answers

Answer:

length: 20.7 mwidth: 7.2 m

Step-by-step explanation:

Let x represent the width of the garden. Then its length is 3x-1 and its area is ...

  A = LW . . . . . . . . . . . . area of a rectangle is length times width

  A = (3x -1)(x) = 150

  3x^2 -x = 150

  x^2 -1/3x +1/36 = 50 +1/36 . . . . divide by 3 and complete the square

  x -1/6 = √(50+1/36) . . . . . . . . . take the square root

  x = (1 +√1801)/6 ≈ 7.2397 . . . width of Chanda's garden

The length will be ...

  3x -1 = 3(1 +√1801)/6 -1 = (1 +√1801)/2 -1 = (-1 +√1801)/2 ≈ 20.7191

To the nearest tenth meter, the garden is 20.7 m long and 7.2 m wide.

please solve

-10 + (-2)

step by step please!

Answers

Answer:

-12

Step-by-step explanation:

-10 + (-2)

-10 - 2

Answer: -12

Answer:

-12is the answer,hope it will help you.

[tex]=-10+(-2)\\=-10-2\\=-12[/tex]

5-2y+7y1-2-1
Need major help got school tmr need help
I got 5y-2 and they said it was wrong he’ll

Answers

Answer:
5y + 2

Step-by-step explanation:

5 - 2y + 7y - 2 - 1

5 - 2 - 1 - 2y + 7y

2 + 5y

Hope it helps ⚜

Solve for x.

5(x−3 3/4)=7 1/2

Enter your answer as a mixed number in simplest form in the box.

x =

Answers

Answer:

x= 21/4

Step-by-step explanation:

1- Convert the expressions

5 ( x - 3 3/4 ) = 7 1/2

2- Remove the parentheses

5 ( x - 15/4 ) = 15/2

3- Move the constant to the right

5x - 75/4 = 15/2

4- Calculate the sum

5x = 15/2 + 75/4

5- Divide both sides

5x = 15/2 + 75/4

help soon!!!! tysm!!!

Answers

[tex]36-b ^ { 2 } -c ^ { 2 } +2bc\\= 36-\left(b^{2}+c^{2}-2bc\right) \\= 6^{2}-\left(b-c\right)^{2} \\=\boxed{ \left(6-b+c\right)\left(6+b-c\right) }[/tex]

Hope it helps ⚜

Donna went for a drive in her new car. She drove at a speed of 53 miles per hour for 169.6 miles . For how many hours did she drive?

Answers

[tex]\tt v=\dfrac{d}{t}[/tex]

[tex]\tt t=\dfrac{d}{v}=\dfrac{169.6}{53}=3.2~h[/tex]

If a dairy has 8 gallons of milk to sell and they package the milk in quarts, how many quarts will they have to sell?

Answers

Answer:

32 quarts

Step-by-step explanation:

1 gallon = 4 quarts

⇒ 8 gallons = 8 x 4 = 32 quarts

Answer:

32 quarts

Step-by-step explanation:

Khan

Type one thoughtful paragraph to the following prompt

Answers

Answer:

The exponent is different from each other. One exponent is 3/4 and the other is 2/4. These make the value different.

Step-by-step explanation:

please answer, i don't know how to solve them. please and thank you

Answers

Answer:

C or 260.48

Step-by-step explanation:

Find area of both triangles:

20*16/2/2*2=160

Find area of circle;

pi*r*r/2= area of circle

d/2=r

16/2=8

pi*8*8/2 is about 100.53

160+100.53=260.53

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