Questions on Algebra: Graphs, graphing equations and inequalities answered by real tutors!

Tutors Answer Your Questions about Graphs (FREE)

Question 1209523: how to find y=1/2x+3
Click here to see answer by josgarithmetic(39617)

Question 1209523: how to find y=1/2x+3
Click here to see answer by timofer(104)

Question 1190379: Diego started an exercise program in which each week he works out between 4.5 to 6 hours and walks between 9 and 12 miles.
A. Make a graph to show the number of hours Diego works out at the gym and the number of miles he walks per week.
B. List 3 possible combinations of working out and walking that meet Diego's goals.
Click here to see answer by CPhill(1959)

Question 1189862: Solve the following problem by simplex method.
Max Z = 8x1 + 16x2
Subject to: x1 + x2  200
x2  125
3x1 + 6x2  900
Where x1, x2  0 non-negativity condition

Click here to see answer by CPhill(1959)

Question 1186708: Graph y=f-1(x) if the graph of y=f(x)= 2x +5 restricted in the domain {x|-2 <_ x<_ 1.5|}
a. What is the range of the function?
b. What is the domain and range of its inverse
Click here to see answer by ikleyn(52778)

Question 1185780: The director of MIS Center At a large company wants to do stuff consulting station with two shifting teams: Team A will compromise of 3 senior programmers and 3 system analyst and team B will consist 2 senior programmers and 5 system analysts. the director wants to use no more than 42 individuals.
There will be at least 48 hours to be filed during the week, with team A serving for 4 hours and the team B shift servings for 3 hours. The cost of team A is 3200 per hour and 2800 per hour for team B shift.
Determine the number of shifts each team has to render in order to minimize the cost.
•What is the Test ratio for table 2?
•What is the pivotal/al column in Tableu 1?
•What is the result in the last row of Tableu 4?
•Show the proper representation of Tableu

Click here to see answer by CPhill(1959)

Question 1209656: What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{3}} (x^2 - 7 + 2x)?
Click here to see answer by CPhill(1959)

Question 1209656: What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{3}} (x^2 - 7 + 2x)?
Click here to see answer by ikleyn(52778)

Question 1209656: What is the smallest distance between the origin and a point on the graph of y = \frac{1}{\sqrt{3}} (x^2 - 7 + 2x)?
Click here to see answer by mccravyedwin(407)

Question 1209655: The graph of the equation
4x^2 - 12x + 4y^2 + 16y - 15 = 10x + 25y + 28
is a circle. Find the radius of the circle.

Click here to see answer by CPhill(1959)

Question 1209658: The real numbers x and y satisfy
x^2 + y^2 - 8x + 6y + 23 = 0.
Find the largest possible value of x + y.
Click here to see answer by CPhill(1959)

Question 1209658: The real numbers x and y satisfy
x^2 + y^2 - 8x + 6y + 23 = 0.
Find the largest possible value of x + y.
Click here to see answer by ikleyn(52778)

Question 1209658: The real numbers x and y satisfy
x^2 + y^2 - 8x + 6y + 23 = 0.
Find the largest possible value of x + y.
Click here to see answer by math_tutor2020(3816)

Question 1209727: {(1,-5),(2,-3),(3,-1),(4,0),(5,2)}

Click here to see answer by math_tutor2020(3816)

Question 1209727: {(1,-5),(2,-3),(3,-1),(4,0),(5,2)}

Click here to see answer by josgarithmetic(39617)

Question 1209752: 3x=6y+2

Click here to see answer by amarjeeth123(569)

Question 1209752: 3x=6y+2

Click here to see answer by timofer(104)

Question 1178643: Functions f(x) =1-|x-1| and g(x)=(2x-a) are given .prove that for every 'a' belong to (1,2).the area bounded by the graphs of the given function is less than 1/3.(prove without differentiation and integrals).
Click here to see answer by CPhill(1959)

Question 1176889: An Eulerian Path is a graph traversal that starts at some vertex and traverses every edge exactly once, but ends at some other vertex. Using all five vertices given below, create and draw a simple graph (no loops and no multiple edges) with exactly 6 edges, containing an Eulerian Path (Reminder: Your graph cannot be an Eulerian Circuit, i.e. it cannot start and end at the same vertex).

*
* *

* *
Is it possible to create the Eulerian Path from problem #6 in such a way that the graph is a tree? If yes, draw the tree below. If no, explain why not below (circle: YES or NO ):

Click here to see answer by CPhill(1959)

Question 1176885: If a simple, connected, graph has 20 vertices, what is the maximum number of edges it can have? (Recall that a simple graph does not have loops and does not have multiple / parallel edges)

Click here to see answer by CPhill(1959)

Question 1176884: A binary tree is a connected graph with no cycles, where each vertex has a degree less than or equal to 3. What is the maximum number of vertices of degree one that a binary tree with 15 vertices can have?

Click here to see answer by CPhill(1959)

Question 1175341: Consider f(x)= √x and h(x)= 1-f(2(4-x)). Apply the transformations to f(x) to graph the function h(x). Show your work.
Use Gyazo (or another tool) to capture your graph as an image. Insert your image or the Gyazo link here.
Click here to see answer by CPhill(1959)

Question 1174792: Question: Which Of The Following Uses The Given Set Of Points To Prove That ABC A EFD? A(0,0), B (3.0), C(2,3), D(3.0), E (1,3), F (4,3) AB = EF = 761, BC = FD = 34, CA = DE = 5, And ABC AEFD By SAS. AB = EF = V13, BC = FD = V10, CA = DE = 3, And A ABC AEFD By SSS. AB = EF = 9, BC = FD = 10, CA = DE = 13, And ABC > EFD By SAS «
Click here to see answer by CPhill(1959)

Question 1172992: 1. Tickets for a play cost Php250 for adults and Php200 for children. The sponsor of the show collected a total amount of not more than Php44,000 from more than 150 adults and children who watched the play.
a. What mathematical statements represent the given situation?
b. Graph the system.
c. Give two possible numbers of adults and children who watched the play. Justify your answers.
Click here to see answer by timofer(104)

Question 1172991: 2. Mr. Agoncillo has at least Php150,000 deposited in two banks. One bank gives an annual interest of 4% while the other bank gives 6%. In a year, Mr. Agoncillo receives at most Php12,000.
a. What mathematical statements represent the given situation?
b. Graph the system.
c. Give two possible amounts Mr. Agoncillo could have deposited in each bank. Justify your answers.
d. If you were Mr. Agoncillo, in what bank account would you place greater amount of money? Why?
thanks so much in advance!

Click here to see answer by CPhill(1959)

Question 1172596:
2. Marie sells two types of alcohol. The green cross alcohol 500 ml that costs Php120 and the casino rubbing alcohol 150 ml which costs Php 45. She has to sell at most Php1000 per day for both sizes of alcohol. Find the inequality that represents the situation. (don't forget to graph)

Click here to see answer by CPhill(1959)

Question 1209848: graph 5x-y=2
Click here to see answer by ikleyn(52778)

Question 1171514: A large circular saw blade with a 1-foot radius is mounted so that exactly half of it shows above the table. It is spinning slowly, at one degree per second. One tooth of the blade has been painted red. This tooth is initially 0 feet above the table, and rising. What is the height after 37 seconds? After 237 seconds? After t seconds? Draw a graph on the grid below that shows how the height h of the red tooth is determined by the elapsed time t. It is customary to say that h is a function of t.
2. Now explore the position of the red saw tooth in reference to an imaginary vertical axis of symmetry of the circular blade. The red tooth is initially one foot to the right of the dotted line. How far to the right of this axis is the tooth after 37 seconds? After 237 seconds? After t seconds? Draw a graph on the grid below that shows how the displacement p of the red tooth with respect to the vertical axis is a function of the elapsed time t.
(Continuation) The graphs of the height h and the horizontal displacement p of the red saw tooth are examples of sine and cosine curves, respectively. Graph the equations y=sinx and y = cos x on your calculator, and compare these graphs with the graphs that you drew in the preceding exercises. Use these graphs to answer the following questions: (a) For what values of t is the red tooth 0.8 feet above the table? 0.8 feet below the table? (b) When is the tooth 6 inches to the right of the vertical axis? When is it farthest left?

Click here to see answer by CPhill(1959)

Question 1171418: Chip M. Akers is trying to determine if changing the baking temperature in the frier will reduce the amount of grease absorbed by his potato chips. Chip has 40 uncooked potato chips that he can use in his study. He wants to do an experiment, comparing the amount of grease absorbed at
180
o
C with the amount of grease absorbed at
220
o
C. Draw a diagram that summarizes the design of his experiment.
Click here to see answer by ikleyn(52778)

Question 1209884: What is the horizontal asymptote as x approaches positive infinity of the graph of
y = \sqrt{4x^2 + 5x} - \sqrt{4x^2}?
The horizontal asymptote is in the form y = mx + k.

Click here to see answer by greenestamps(13198)

Question 1170320: If the room has a length of 12m more than its width and an area of more than or equal to 108m², how many tiles to cover completely the room considering that a tile has an area of less than or equal to 1600cm²? What is my preferred budget if one tile cost more or less 56 pesos(Philippine money)?
Click here to see answer by ikleyn(52778)

Question 1210143: Let R be the image of rotating point P=(4,0) counterclockwise by 60^\circ degrees around Q=(12,-7). What is PR?
Click here to see answer by CPhill(1959)

Question 1210255: find the x intercept and the y intercept. then use them to graph the line. 9x6y=27
Click here to see answer by josgarithmetic(39617)

Question 1210357:
Click here to see answer by ikleyn(52778)

Question 1206470: find the slope of a line that is perpendicular to the y-axis and passes through the point(-7,8)
Click here to see answer by ikleyn(52778)

Question 1210399: The Piecewise function of this
f(x) {-x if x <2}
{x^2-6x+9 if x>2 }
Click here to see answer by ikleyn(52778)

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