7. g(x)=√x- 4

8. g(x)=√x +3

9. g(x)=√x + 6 − 4

10. g(x)=√x - 7+3

Use the graph of f(x) = 1/x to graph each function.

11. g(x) = 1/x +4

12. g(x) = 1/x - 6

13. g(x) = 1/x-6 + 8

14. g(x) = 1/x+7 -4

the **graphs** are attached herewith , where the label of the graph are :

along X-axis: 1 square division = 10 units

along y-axis: 1 square division: 10 units

The problem we dealing with is related to** manipulating graphs**.For the question 7 to 10, the commonly given function is **f(x)= √x**, if the **g(x**) is nothing but the** f(x-c)** or **f(x+c)**, so for the g(X) to be f(x-c), then a graph of that particular function turns to stretch downward whereas, for the f(x+c), it stretches upward.

So, for 7 g(x)=√x- 4 where -4 is c so the g(x) = f(x-c) so the point for the graphs will stretch downward compare to the pint of the functions f(x)= √x.

8. g(x)=√x +3

here g(x)= f(x+3), so the pints stretched upward

9. g(x)=√x + 6 − 4=√x + 2

here additional number for the points ar 2, as it positive one, so the point of the function g(x), stretches upward

10. g(x)=√x - 7+3=√x -4

here the c is -4, so the point of the g(x), stretches downward.

Same for the questions 11 to 14, the common function is ** f(x) = 1/x** ,for which which** g(x) = f(x-c) or f(x+c)**, for positive c , the graph stretches upward otherwise it moves downward

11. g(x) = 1/x +4

here the c is positive, the graph stretches upward for the g(x)

12. g(x) = 1/x - 6

here the c is negative, the graph stretches downward for the g(x)

13. g(x) = 1/x-6 + 8= 1/x+2

here the c is positive, the graph stretches upward for the g(x)

14. g(x) = 1/x+7 -4= 1/x+3

here the c is positive, the graph stretches upward for the g(x)

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Una hoja de papel rectangular tiene un área de 84 pulgadas,el ancho del papel es 5 pulgadas menos que el largo¿cual es el ancho,en pulgadas de la hoja de papel ?

Answer: I think the width is 7.

Step by step explanation:

So let's say the length is 12. This means I need to subtract 5 from it, since the width is 5 inches less than the length. Now that we know this, that means the width is 7, which is the area.

I hope this helps.

There are a total of 235 books in the library. On Monday, 113 books were checked out. On Tuesday, fifty-six books were checked back in. How many books are there in the library on Wednesday morning?

**Answer:**

178

**Step-by-step explanation:**

235-113=122

122+56=178

**Answer:**

178 books

**Step-by-step explanation:**

235 minus 113 books that werr checked out and plus 56 books that came back in total it's 178, if nobody stole anything :)

Please help me thanks lol

**Answer:**

I would say yes they are

**Step-by-step explanation:**

because you multiply the small one's numbers by 2 and get the big triangle

**Answer:**

they are similar! :)

**Step-by-step explanation:**

the best way to figure this out is just by looking to see if they have anything in common. in this case, the larger figure is just two times more on each side than the smaller figure.

Please need asappp Graphs of inverse functions

Restricted domain, your answer in two

I am not sure how to solve this

Answer is

Y = 4 5/7

G = 3 5/7

Step by step

We have 4 Y = yellow circles

We have 3 G = green butterflies

Our equations are

4Y + 3G = 30

G= Y - 1 (because there is 1 less green butterfly than yellow circle)

To solve for Y, substitute G value for G

4Y + 3(Y - 1) = 30 distribute

4Y + 3Y - 3 = 30 combine

7Y -3 = 30 add 3 to both sides

7Y = 33 divide both sides by 7

Y = 4 5/7

To solve for G, substitute Y value for Y

4( 4 5/7) + 3G = 30 distribute

18 6/7 + 3G = 30 subtract 18 6/7 from both sides

3G = 30 - 18 6/7

3G = 11 1/7 divide both sides by 3

G = 3 5/7

Check your work

Sun your Y and G values into your equation

G = Y - 1

3 5/7 = 4 5/7 - 1

3 5/7 = 3 5/7

Yes, they equal so it’s true!

Y = 4 5/7

G = 3 5/7

Problem solved

Y = 4 5/7

G = 3 5/7

Step by step

We have 4 Y = yellow circles

We have 3 G = green butterflies

Our equations are

4Y + 3G = 30

G= Y - 1 (because there is 1 less green butterfly than yellow circle)

To solve for Y, substitute G value for G

4Y + 3(Y - 1) = 30 distribute

4Y + 3Y - 3 = 30 combine

7Y -3 = 30 add 3 to both sides

7Y = 33 divide both sides by 7

Y = 4 5/7

To solve for G, substitute Y value for Y

4( 4 5/7) + 3G = 30 distribute

18 6/7 + 3G = 30 subtract 18 6/7 from both sides

3G = 30 - 18 6/7

3G = 11 1/7 divide both sides by 3

G = 3 5/7

Check your work

Sun your Y and G values into your equation

G = Y - 1

3 5/7 = 4 5/7 - 1

3 5/7 = 3 5/7

Yes, they equal so it’s true!

Y = 4 5/7

G = 3 5/7

Problem solved

50 POINTS!

A line goes through the points (3, -4) and (-1, 8). Write the equation of the line in point-slope form. Show your work for full credit. (Show the steps for how you went from the two points, above, to having the equation in point-slope form. All calculations must be written down.)

can someone show how they do this instead of just only giving the answer.

**Answer:**

y= -3x + 5

**Step-by-step explanation:**

m= (y2-y1)/(x2-x1)

m= [8-(-4)]/(-1-3)

m=12/-4

= -3

y= mx + b

-4=(-3)(3) + b

-4=9+b

b=5

therefore, y= -3x+5

HELP PLEASE!

f(x)= ³ √x+8. Find the inverse of f(x).

**Answer: (D)**

the answer would be D

**Step-by-step explanation:**

Find the equation of the line with slope −35 and y-intercept (0,−3).

**Answer:**

y = -35x -3

**Step-by-step explanation:**

We can use the formula **y = mx + c** to find the equation of the line.

Here,

m ⇒ slope

c ⇒ y-intercept

From these, they have already given the slope of the line.

m ⇒ -35

And now we have to **find the c ( y-intercept ) of the line using the given coordinate,**

( 0 , -3 ) ⇒ ( x , y )

So, to find the y-intercept you have to **replace x, y & m with 0, -3 & -35 respectively, and solve for c.**

Let us solve it now.

y = m x + c

-3 = -35 × 0 + c

-3 = 0 + c

**-3 = c**

And now we can write the equation of the line like this.

y = m x + c

**y = -35x -3**

**Answer:**

Equation of line is given as y =mx + c, where m is the slope and c is the y-intercept.

Since slope is -35, equation of line is y = -35x + c.

Substitute (0,-3) into equation to find c.

-3 = -35(0) + c

c = -3

Hence, equation is y = -35x - 3.

I WILL GIVE BRAINLIEST!!!

Create one symmetrical (normal) and one asymmetrical set of data, and explain why each fit the definition.

+ Knowing the type of distribution and the skewness of the data, is it possible to draw conclusions about the mean and the median?

+ Why would it be best to use particular measures of center and spread if the data is symmetrical or asymmetrical?

+ What measures would you use in each case?

The **median **will be used as the measure of **central tendency **in this case, it is wise to use the inter-quarterly **range **as the measure of spread.

A **histogram **for symmetrical data will give a **symmetrical **shape, and the mean, **median **and mode will all be the same **value**. Therefore, the best measure of the central **tendency **to use is the mean.

The **standard deviation **indicates; how far away the values in a given data set are from the **mean**, and since the mean is used as the measure of central **tendency**, then the standard deviation should be used as the spread.

If the data is **symmetrical**, then the mean is the measure of central tendency; and the **standard deviation **is the best spread to use.

If the data is **asymmetrical**, the median is the best measure of central tendency; and the** inter-quarterly range** is the best spread to use.

The **median **will be used as the measure of **central tendency **in this case, it is wise to use the inter-quarterly **range **as the measure of spread.

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Please help I dont understand!!!!!

**Answer:** This is a linear pair of angles because they are two adjacent angles that have a common side and whose other sides point in opposite directions.

What is the measure of m?

10 millimeters (mm) = 1 centimeter (cm)

10 decimeters = 1 meter (m) = 1,000 millimeters

10 meters = 1 dekameter (dam)

10 dekameters = 1 hectometer (hm) = 100 meters

10 hectometers = 1 kilometer (km) = 1,000 meters

10 decimeters = 1 meter (m) = 1,000 millimeters

10 meters = 1 dekameter (dam)

10 dekameters = 1 hectometer (hm) = 100 meters

10 hectometers = 1 kilometer (km) = 1,000 meters

Write an equation of the parabola. Justify your answer.

Check the picture below.

so from the picture we can pretty much tell two solutions or zeros and another point where it passes up above, so

[tex]\begin{cases} x=-1\implies &x+1=0\\\\ x=7\implies &x-7=0 \end{cases}\hspace{8em} \begin{array}{llll} a(x+1)(x-7)=0\\\\ a(x+1)(x-7)=y \end{array} \\\\[-0.35em] ~\dotfill\\\\ \textit{we also know that} \begin{cases} x=5\\ y=3 \end{cases}\implies a(5+1)(5-7)=3 \\\\\\ a(6)(-2)=3\implies -12a=3\implies a=\cfrac{3}{-12}\implies a=-\cfrac{1}{4} \\\\[-0.35em] ~\dotfill[/tex]

[tex]-\cfrac{1}{4}(x+1)(x-7)=y\implies -\cfrac{1}{4}\stackrel{F~O~I~L}{(x^2-6x-7)}=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill {\Large \begin{array}{llll} -\cfrac{x^2}{4}+\cfrac{3x}{2}+\cfrac{7}{4}=y \end{array}}~\hfill[/tex]

A local building code requires that all factories must be surrounded by a lawn. The width of the lawn must be uniform and the area of the lawn must be equal to the area of the factory. What must be the width of a lawn surrounding a rectangular that measures 120 m by 80 m?

PLEASE HELP

**Answer:**

20 m

**Step-by-step explanation:**

You want to know the **uniform width of a lawn** around a **120 m by 80 m building** such that the **area of the lawn** is equal to the **area of the building**.

Let x represent the width of the lawn. Then the dimensions of the area that includes the lawn and building will be (120 +2x) meters by (80 +2x) meters. We want that area to be equal to twice the area of the building:

(120 +2x)(80 +2x) = 2(120·80)

SolutionDividing by 4 gives a slightly simpler equation.

(60 +x)(40 +x) = 60(80)

2400 +100x +x^2 = 4800 . . . . eliminate parentheses

x^2 +100x -2400 = 0 . . . . . . subtract 4800 and put in standard form

(x +120)(x -20) = 0 . . . . . . . factor

Values of x that make the factors zero are ...

x = -120, x = 20

Only the positive solution makes any sense in this context.

**The width of the lawn must be 20 m**.

__

*Additional comment*

The total area of the plot is ...

total area = (building area) + (lawn area)

When the lawn area is equal to the building area, then we have ...

total area = (building area) + (building area)

total area = 2·(building area)

This is the relation we used in the solution above.

Question 3 (1 point)

(03.06 LC)

Determine if the sequence is arithmetic or geometric, and find the common difference or ratio

**Arithmetic, Common Difference = -9**

The **Correct **option is **(b).**

What is **Common Difference?**

The common difference of an **arithmetic** **sequence** is the difference between any of its terms and its previous term. An arithmetic sequence goes from one term to the next by always adding (or subtracting) the same amount. The number added (or subtracted) at each stage of an arithmetic sequence is called the** "common difference",** because if we subtract (that is if you find the difference of) successive terms, you'll always get this common value. Most often, "d" is used to denote the common difference.

Given,

x = 1 2 3 4

f(x)= 81 72 63 54

Now, According to the question:

2nd term - 1st term = 72 - 81 = -9

3rd term - 2nd term = 63 - 72 = -9

4th term - 3rd term = 54 - 63 = -9

Hence, **Arithmetic, Common Difference = -9**

The **Correct **option is **(b).**

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Tracy is cutting out a rectangular board to construct a bookshelf.

The board is to have a perimeter of 38 inches, and its length is to be 5 inches shorter than double the width.

Let x be the width of the board.

State the expression for the length of the board in terms of x.

**Answer:**

28 inch

**Step-by-step explanation:**

half of 38 would be 19, and take away 5 from both 19. Equally each width ( top and bottom ) 14 inch and each lenght ( Left and right ) 5 inch. so x representing width would be 14 + 14= 28 inch.

14

5 5

14

WILL GIVE 20 POINTS.

Match each picture to its name.

**Answer:**

1. PQ

2. PQ + qr= pr

3. the arrow going both ways with p q

4. point p

5. the arrowing going one way with p q

**Step-by-step explanation:**

I took the test

Robert cuts a string that is 4 feet long into pieces that are each foot long. a. Complete the model to show 4 ÷2/6

24 **pieces **make up the solution to this puzzle.

I assume the query is how many** pieces** does she receive.

I'll respond to it. Leave a note if it is incorrect.

**6 pieces** will be produced from **1 foot**, each measuring 1/6 of a foot (12/6 = 2 inches).

4 feet will provide 24 pieces (4 * 6).

**24 pieces** make up the solution to this puzzle.

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tweleve is no less than the sum of a number n and 3

I really wish I knew

Challenge An arts academy requires there to be 4 teachers for every 92 students and 3 tutors for every 24 students. How many students does the academy have per teacher? Per tutor? How many tutors does the academy need if it has 72 students?

Answer:2

Step-by-step explanation:25 students per a teacher and 33 students per a tutor.if the academy has 77student they need 2 tutors

what is the slope of the line?

**Answer:**

slope = - 1

**Step-by-step explanation:**

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (0, 2) and (x₂, y₂ ) = (2, 0) ← 2 points on the line

m = [tex]\frac{0-2}{2-0}[/tex] = [tex]\frac{-2}{2}[/tex] = - 1

**Answer:**

-1, equation is y=-x+2

**Step-by-step explanation:**

A gym membership costs $25 to join and $14 each month. Write and use an algebraic

expression to find the cost of the gym membership for 6 months.p

The **algebraic expression** to find the cost of the gym membership for 6 months is given by **25+6×14.**

An** algebraic expression** is one that has been constructed using integer constants, variables, and algebraic operations. A good example of an algebraic expression is 3x2 2xy + c. Any **mathematical** **operation** that involves variables, such as addition, subtraction, multiplication, or division, can have its solutions calculated using algebraic expressions. Monomial, binomial, and polynomial expressions are the three different categories of **algebraic** **expressions**.

Given, the cost of joining membership **= $25**

The **cost** of each month = $14

Cost of 6 months = 6 multiplied by 14

Cost of gym membership for 6 months = **25+6×14**

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what is the slope of the line ?

**Answer:**

**Step-by-step explanation:**

5/2

**Answer: f(x)= 2x-3**

**Step-by-step explanation: The formula for slope is y=mx+b, where m is equal to the slope of the line and b is equal to the y-intercept. We can find the slope by looking at the line OR solving algebraically using the following calculations:**

**(y2-y1)/(x2-x1)**

**Pick 2 points on the line and plug in.**

**(x1,y1)-->(2,1) and (x2,y2)-->(3,3)**

**(3-1)/(3-2)=2/1=2**

**So, the slope of the line is 2. m=2.**

**To find the y-intercept, we can solve algebraically or look at the graph.**

**y=2x+b**

**Plug in a point from the graph to find b, the y-intercept.**

**3=2(3)+b**

**3=6+b**

**-3=b**

**So, the y-intercept is b. **

**Now, we plug our values into the slope intercept equation, y=mx+b**

**y=2x-3**

**Again, you look look at the graph and see where x=0 is to find the y intercept. To find the slope you can use rise/run and count to see that to get from one point on the graph to the next, you count up 2 (rise 2) and to the right 1 (run 1) which gives you 2/1. 2/1 is equal to 2, giving you the slope of 2. **

**Hope this helped :))**

How do

you

create equations and use them to solve

problems?

**Answer:**

define the unknown quantity as =variable. Then use the given info to write down an equation in terms of the unknown quantity. At the end, solve the equation for the unknown.

Define the unknown quantity as a variable

The length of each side of triangle LMN is shown below.

LM = 18 cm

MN = 29 cm

LN = 20 cm

Which list shows the angles of triangle LMN in order from least measure to greatest measure?

The **angles** of **triangle** LMN in order from **least** **measure** to the **greatest** measure as angle ∠ N < angle ∠ M < angle ∠ L which is determined by the** triangle inequality** theorem.

When two lines **intersect** at a location, **vertical** **angles** are generated. They are always equal to each other.

The **length** of each **side** of the given **triangle** LMN is shown below.

LM = 18 cm

MN = 29 cm

LN = 20 cm

According to the **triangle inequality** theorem, in a triangle, the **largest** **angle** is the one opposite to the **longest side** of the triangle.

Therefore, in triangle LMN, we have the **greatest** angle as angle ∠ L

And the smallest angle is ∠ N

Arrange the angles in **ascending** order,

angle ∠ N < angle ∠ M < angle ∠ L

Thus, the **angles** of **triangle** LMN in order from **least** **measure** to the **greatest** measure as angle ∠ N < angle ∠ M < angle ∠ L.

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What are the new vertices of quadrilateral KLMN if the quadrilateral is translated two units to the right and four units upward? A. K = (-2,0), L' = (1,0), M = (1,-3), N = (-2,-3) B. K = (-2,-2), L' = (1,-2), M = (1,-5), N = (-2,-5) C. K = (-0,0), L' = (3,0), M = (3,-1), N = (0,-1) D. K = (-2,2), L' = (1,2), M = (1,-1), N = (-2,-1)

**K' ( -2, 2) , L' (1,2) , M' (1,-1) , N' (-2,-1)**

Firstly, we needt to identify the coordinates of the vertices of the quadilateral

Afterwards, we then perform the translation

The translation simply means we add 2 to the x-value and add 4 to the y-value

So if we had coordinates of a vertex as (x,y); upon translation, we will have (x + 2, y+ 4)

Let us identify the vertices;

K'

K (-4,-2)

L (-1,-2)

M (-1,-5)

N (-4,-5)

After translation, we have;

K' ( -2, 2) , L' (1,2) , M' (1,-1) , N' (-2,-1)

Day 10xASE CertifiedBrakesASE CertifiedA/C Repair143223ASE CertifiedEngine Tune-Ups3Not ASECertifiedA manager that owns 3 localarea Car MaintenanceGarages was researchingcertifications of mechanicsthat worked for hercompany. Consider thefollowing Venn diagram. What is the probability that a randomly selected mechanic that is certified in A/C repair given that the mechanic is certified to do tune-ups ?

The probabilities from the venn diagram are:

Let A be the event that the Mechanic is AC repairman and T be the event that he does tune ups.

[tex]P(A\cap T)=\frac{2}{13}[/tex]The probability that he does tune ups is:

[tex]P(T)=\frac{3}{13}[/tex]Hence the required probability is given by:

[tex]P(A|T)=\frac{P(A\cap T)}{P(T)}=\frac{\frac{2}{13}}{\frac{3}{13}}=\frac{2}{3}[/tex]**Hence the probability is 2/3.**

Please help and provide an explanation for why the answer is f(x) = 3/2x + 7

What is the equation of the line that passes through Point (-4, 1) and has a Slope of 3/2.

**Answer:**

see below

**Step-by-step explanation:**

the point-slope equation is

y-1 = 3/2 (x+4)

**Answer:**

[tex]y=\frac{3}{2}x+7[/tex]

**Step-by-step explanation:**

To write the **equation of a line**, two information are needed.

The slope can be calculated using the **gradient formula** as long as two pairs of coordinates are given. This question provides the slope, hence we can substitute its value into the equation right away.

In **slope-intercept form**, the equation of a line is given by **y= mx +c**, where **m is the slope** and **c is the y-intercept**. The slope gives us the steepness of the line, while the y-intercept is the y value in which the line cuts through the y-axis (vertical axis).

y= mx +c

Given that slope= [tex]\frac{3}{2}[/tex], m= [tex]\frac{3}{2}[/tex].

**Substitute the value of m:**

[tex]y=\frac{3}{2}x+c[/tex]

Next, find the value of c by **substituting a pair of coordinates**.

When x= -4, y= 1,

[tex]1=\frac{3}{2} (-4)+c[/tex]

1= -6 +c

**Add 6 to both sides:**

c= 1 +6

c= 7

**Substituting the value of c:**

[tex]\bf{y=\frac{3}{2}x +7 }[/tex]

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place the numbers in order from least to greatest…PLS HELP!

**Answer:**

If the numbers are arranged from the least to the greatest, then it is called ascending order. In this form, the numbers are in increasing order. The first number should be lesser than the second number. If the numbers are arranged from the greatest to the least, then it is called descending order.

Absolute Value Calculator: Heron's Calculator

Coterminal Angle Calculator: Graphing Functi...

**Step-by-step explanation:**

**Answer:**

1. -[tex]\sqrt{13}[/tex] = -3.605...

2. -18/5 = -3.6

3. -[tex]\sqrt{12.25}[/tex] = -3.5

4. -|3.4| = -3.4

5. |-3.6| = 3.6

[tex]6x^{2} -7=9x+8x^{2}[/tex]

2x^ = 9x + 7

This can not be simplified any more.

No solution.

This can not be simplified any more.

No solution.

24 yd

15 yd

35 yd

the volume

**Answer: 9633.4 cubic meters**

I only assumed the shape and length, height, width, etc. so this is my best guess. Please provide with a three dimensional shape of the object being calculated and specify which measurements are the length, height, width, depth, or circumfrence. I will answer it right away :)

**Answer:**

12600 yd^3

**Step-by-step explanation:**

The equation to finding the volume of 3 dimensional shapes only including cubes, and rectangles.

L * W * H = V

Which means Length multiplied by width, multiplied by height.

So in this instance:

35 * 24 = 840 * 15 = 12600.

Hope this answers your questions.

If so please make brainliest.

Also if it does feel free to ask me any other questions needed.

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What are the three branches of the federal government?O executive, legislative, and judicialO executive, judicial, and senatorialO legislative, judicial, and presidentialO judicial, legislative, and congressional
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Find the range PLEASE HELP!!! EXTRA POINTS
Opportunity cost is _____.the cost of business itselfthe cost of travel, entertainment and other activities that provide an opportunity for recreationthe cost of an alternative product or service that cannot be acquired because the available funds were used for another purposenone of the above
10. Find the area of the shaded region.17 yd5 yd7 yd6 yd7 yd4 yd
a javelin is thrown at 28.5m/s from flat ground at a 43.2 degree angle. How long does it take to reach its maximum height? IN SECONDS