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Graphs and Functions

Which of the following represents a straight-line graph?

Please see attached file for full problem description. Which of the following represents a straight-line graph? a. none of the following is a straight-line graph b. all of the following are straight-line graphs c. varX varY 1 6 2 4 3 2 d. varW varZ 3 8 4 7 5 4 e. varT varU 10 0.5 11 1.5 12 2 Wh

Sketch a possible graph of the velocity.

An object is moving along the straight line as follows. It starts at x = 0 and then it moves to the right to x = 2. Then the object moves to the left to x = - 3, and finally to the right to stop at x = 1. Sketch a possible graph of the position function s(t). Sketch a possible graph of the velocity v(t) (the instantaneous rate o

Graphing, Trends and Forecasting

Please see the attached file for the complete questions. Complete the ordered pairs so that each is a solution for the given equation. 24. (0, ), ( , ), ( ,0), ( , ) 46. Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula . What is the Fahrenheit tempera

Graphing and Linear Equations

Please see the attached file for the complete questions. MTH 212 Unit 2 - Individual Project A 1. The following table shows the number of hours five car salespeople worked and the number of cars they sold. Using Excel, plot each point on the same graph where the first coordinate is the number of hours and the second coord

Modelling Data with Polynomial and Rational Functions

Many different kinds of data can be modeled using polynomial functions. An example of a polynomial function would be gas mileage for an automobile. If we compare gas mileage at two different speeds, V1 and V2, the gas required varies as (V1/V2), raised to the third power, (V1/V2)3. Rational functions are also useful. For examp

Applications of Graphing and Derivatives : Critical Points

Using a calculator or computer, graph the functions. Describe briefly in words the interesting features of the graph including the location of the critical points and where the function in increasing/decreasing. Then use the derivative and algebra to explain the shape of the graph. 9. Try graphing the x values from -5 t

Applications of Graphs of Linear Equations

Name: __________________________ Date: _____________ 1. Which of the ordered pairs (6, 1), (8, 0), (4, -2), (-4, 6) are solutions for the equation x + 2y = 8? 2. A small company did a poll of how their employees commuted to work. The data is shown in the bar graph below. (a) How many people commute to work v

Graceful Trees and Paths

A (p,q) graph G is called graceful if it is possible to label the vertices of G with distinct elements from the set {0,1,...,q} in such a way that the induced edge labeling, which assigns the integer |i - j| to the edge ij, assigns the labels 1,2,...,q to the q edges of G. The graceful tree conjecture states that every tree i

Vertex of a Parabola

I need to understand how to find the vertex of a parabola two ways. Show examples

Graphing Second-Order and Third-Order Rational Functions

I do not understand how to conduct these equations I Excel so that I can show a graph of each. Choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. Provide a graph for the second-order rational function (e.g., x2), choosing x values in the range from -10 through +10.

Graphs and Linear Equations

1. The following table shows the height of a tree as it ages. In Excel, plot each point on the same graph where the first coordinate is the age of the tree and the second coordinate is the height of the tree (age, height). After plotting each point, explain if there is a linear relationship between the age and height of the tr

Parallel Lines

Suppose the government mandated gasoline prices to remain constant at $4.26 per gallon everywhere across the country, restricting gas stations from increasing the price in the future. The law will take effect in 2012. Is there an equation that would illustrate the price of gas under the new law? Is there an equation that i

Find an equation of the tangent line to the graph.

Please help with the following algebra-related multiple choice problems. Find an equation of the tangent line to the graph of the relation given by x2 - xy + y2 = 7 at the point (2, 3) . x + 4y - 14 = 0 4x + y - 11 = 0 11x + 4y - 34 = 0 7x + 3y - 23 = 0 17x + 8y -

Equation for the tangent line to a graph.

Please choose the correct answer and indicate final answer. 11. f(x) = (x + 4)^1/2. An equation for the tangent line to the graph of f(x) at the point where x = 77 would be x - 6y + 13 = 0 x - 8y + 20 = 0 x - 10y + 29 = 0 x - 12y + 40 = 0 x - 14y + 53 = 0 x

Maximum Value of Functions

A jewelry floor safe with a square base is to be made so as to have a total volume of 648 cubic inches. The side material for the safe costs $1 per square inch. The material for the top costs $4 per square inch while the material for the bottom costs $2 per square inch. What, in inches, would be the height of the most economical

Slope Predictor Formula and limits

See attached file for full problem description. 1. Apply the slope predictor formula to find the slope of the line tangent to y = f(x) = (2x + 4)^2 - (2x -4)^2. Then write the equation of the line tangent to the graph of f at the point (3, f(3)). 2. Find all points on the curve y = (x+4)(x-5) at which the tangent line is horiz

Ordered Pairs

Complete the ordered pairs for the equation y = 7x + 7. (?,0), (3/7,?), (0,?), (-3/7,?)

Diagonal Distance Across a Square

A boxing ring is in the shape of a square, 20 ft on each side. How far apart are the fighters when they are in opposite corners of the ring?

Graphing and Line Equations

Write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope-intercept form, where possible. See attached file for full problem description. Section 7.3 pp.634-636 6 (rewrite into standard form) 20,24,36,40,52 Write the equation of the line pa

Graphing and Equations of Lines

Find the slope and y-intercept of the line represented by each of the following equations. See attached file for full problem description. Find the slope and y-intercept of the line represented by each of the following equations. 12. Or 3Y = 2X - 6 Or Y = (2/3) X - 2 Slope = 2/3 y-intercept = -2 Write the eq

Find an equation in slope-intercept form (where possible) for each line.

Find an equation in slope-intercept form (where possible) for each line. Through (-2,6), perpendicular to 2x-3y=5 Use slope to show that the square with vertices at (-2, 5) (4,5), (4 -1) and (-2,1) has diagonals that are perpendicular Graph each equation. 2x-3y= 12 Exercise To achieve the maximum benefit for the hear

Applications of Graphing

Section 6.1, pp. 510-511 24, 46, 48 Complete the ordered pairs so that each is a solution for the given equation. 24. ( 0,), 46. Science and medicine. Celsius temperature readings can be converted to Fahrenheit readings using the formula . .

9 geometry problems

1. Angles ABC and CBD are complementary and the measure of CBD is twice of the measure of ABC. Angles ABD and DBE are supplementary angles. a) Draw a sketch illustrating these angles. b) Determine the measure of ABC. c) Determine the measure of DBE. 2. Form the converse of each of the following statements. State whether

Various Problem in Group Project

1) An open-top box is to be constructed from a 6 foot by 8 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. b) Graph this function and s

Determine whether the diagram given in part 1 is a graph. Find the chromatic number of the graph given in part 2, and the number of colors needed to color the regions of the graph in part 3 (to ensure that adjacent regions have different colors).

The three questions are stated in an attached .doc file (1.doc). In part 1, a diagram is given, and whether the object depicted in the diagram is a graph is to be determined. In part 2, a graph is given and its chromatic number is to be determined. In part 3, a graph is given and the number of colors needed to color the

Various Algebra Problems

See attached file for full problem description. 1. Find the missing coordinates in the following table: 2. Graph the following equation. Plot at least five points for the equation: x + 4y = 5 3. Demand Equation. Helen's Health Foods usually sells 400 cans of Pro Pac Muscle Punch per week when the price is $5 per can. Af