Use the graph of f(x) = √x to graph each function.
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
Answers
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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Related Questions
I am not sure how to solve this
Answers
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
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
Answers
The algebraic expression to find the cost of the gym membership for 6 months is given by 25+6×14.
What is algebraic expression?
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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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
Answers
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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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?
Answers
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.
What are the vertical angles?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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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
Answers
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.
SetupLet 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.
Please need asappp Graphs of inverse functions
Answers
24 yd
15 yd
35 yd
the volume
Answers
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.
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 ?
Answers
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.
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?
Answers
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
How do
you
create equations and use them to solve
problems?
Answers
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.
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.
Answers
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
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 ?
Answers
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.
Question 3 (1 point)
(03.06 LC)
Determine if the sequence is arithmetic or geometric, and find the common difference or ratio
Answers
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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Find the equation of the line with slope −35 and y-intercept (0,−3).
Answers
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.
Write an equation of the parabola. Justify your answer.
Answers
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]
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)
Answers
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)
[tex]6x^{2} -7=9x+8x^{2}[/tex]
Answers
This can not be simplified any more.
No solution.
HELP PLEASE!
f(x)= ³ √x+8. Find the inverse of f(x).
Answers
Answer: (D)
the answer would be D
Step-by-step explanation:
Please help I dont understand!!!!!
Answers
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.
place the numbers in order from least to greatest…PLS HELP!
Answers
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
what is the slope of the line ?
Answers
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 :))
what is the slope of the line?
Answers
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:
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.
Answers
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.
Slope (also known as gradient)A pair of coordinates (or a point) on the lineThe 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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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?
Answers
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 :)
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?
Answers
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.
What are symmetrical and asymmetrical data?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 me thanks lol
Answers
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.
What is the measure of m?
Answers
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
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.
Answers
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.
Answers
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
tweleve is no less than the sum of a number n and 3