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    Graphs and Functions

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    Applications of Linear Equations

    Problems #'s 8, 16, 28, 38 these I need help completing Hint: (in order to draw points and lines on the graph I use Paint) Click on it and copy/paste it into an open Paint file 1. Click on the spray-paint icon and then choose the smallest splotch (there were three sizes 2. After you plot the points then paste again

    Graphs and Linear Equations

    Section 3.1 Use the given equation to find the missing coordinates in the following tables: 34. X Y -2 0 2 -3 -7 Graph each equation. Plot at least five points for each equation. Use graph paper. See Examples 3.5. If you have a graphing calculator, use it to check your graphs when possible.

    In the xy-plane, line L passes

    In the xy-plane, line L passes through the origin and is perpendicular to the line 4x + y =k where k is a constant. If the two lines intersect at the point (t, t+1), what is the value of t?

    Equations and Graphing problems

    Please show work so that I may understand. Thank you. 1.) Solve the equation x + 0.04x = 9600 2.) Solve the inequality (1/6) x - 1 ≤ 4 + (1/3) x. Express answer in both graphical and interval notation form. Find the missing coordinates y = -x + 4 x y -2 0 2 0 -2 3.) Plot

    Graphing and Functions

    1. Suppose I had a lemonade stand. When I charge $1, I sold 50 cups, when I raised the price to $2, I only sold 25 cups. Write an equation for the number of cups I sold as a function of the price i charged. Denote C for number of cups and P for price. Assume the function is linear. 2. Write an equation for f(x) based on x -2,

    Maximum Value of a Function and Decreasing Function

    In recession, congress decided to stimulate the economy by providing funds to hire unemployed workers for gov. projects. Suppose the t months after the stimulus programs have begun, there are N(t) thousand people unemployed, where: N(t)= -t^3 + 45t^2+408t + 3078 a). What is the max # of unemployed workers? When d

    Forming a Quadratic Equation

    Look at the graph above and comment on the sign of D or the discriminant. Form the quadratic equation based on the information provided and find its solution. (-1,0) (-0.16,-2) (0.67,0) use y=ax^2+ b+c also But if we know the roots x1 and x2 of a quadratic equation, we can write the equation in a completely equivalen

    Discriminants

    I am having trouble understanding the sign of the discriminant in quadratic equations. I'm confused. See attached for my full problem.

    Slope-Intercept Form

    Please show work so that I can understand how you arrive at your answer. Thank you. 1.) Write the equation in slope intercept form y + 2 = - 6(x-1) 2.) Determine the equation of each line. Write the answer in slope intercept form. The line through (4,0) that is perpendicular to the line x + y = 3 Solve

    Outerplanar Graphs

    A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. Prove the following: If G = G(p, q) is outerplanar with p >= 2, then q <= 2p - 3.

    Outerplanar and Bipartite Graphs

    A graph is outerplanar if it can be embedded in the plane so that every vertex lies on the boundary of the exterior region. A graph G is outerplanar iff G + K_1 is planar. Note:A bipartite graph (i.e., a set of graph vertices decomposed into two disjoint sets such that no two graph vertices within the same set are adjacent

    Graphs and the Time Value of Money

    Please take this real-life situation: I currently have a CD investment accounts in the Dominican Republic. I invested $10,000 ($M) in The Central Bank of the Dominican Republic. This investment account produced a simple annual interest of 10% (R) for me. I plan to leave my money in this investment account for (X) amount of year

    Critical Numbers : Find the intervals of increase and decrease.

    Find the intervals of increase and decrease for a. Increasing on x -2 and x 8 , decreasing on - 2 x 8 b. Increasing on x < -8 and x > 2, decreasing on -8 < x < 2 c. Increasing on -8 < x < 2, decreasing on x < -8 and x > 2 d. Increasing on x < -2 and x > 8, decreasing on -2 < x < 8 An equation for the t

    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

    Graphs and Minimizing Cost

    Please see attached file for full problem description. Find constants a, b, and c so that the graph of the function has a relative maximum at (3, 7) and crosses the y-axis at (0, 1). Answer choices: , b = -4, c = -1 , b = 4, c = 1 , b = 4, c = 1 , b = -4, c = 1 Manufacturing company estimates

    Solving Logistic Functions

    The logistic growth function F(t)=600/1+11.0e^-0.16t describes the population of a species of butter flies t months after they are introduced to a non-theatening habitat. how many butterflies are expected in the habitat after 20 months? Rewrite the equation in terms of base e. Express the answer in terms of natural logari

    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

    Over what intervals are the following functions continuous?

    Please see attached file for full problem description. Over what intervals are the following functions continuous? Justify your answer using the definition of continuity. a. b. Let f and g be twice differentiable functions such that for all x in the domain of f. If and What (if anything) can you say about f,

    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

    Cost Functions Percentages

    The annual cost in dollars for removing p% of the toxic chemicals from a town's water supply is given by the following formula: C(p) = 500,000/ 100 - P a. Use the formula to determine the cost for removing 90% , 95% , and 99.5% of the toxic chemicals. b. What happens to the cost as the percentage of pollutants removed approaches

    Closed Loop Transfer Function

    Please see the attached file for the fully formatted problems. Closed-Loop Transfer Function Find the state equation and output equation solution. Basically transfer from Transfer Function to State Space. Hint: Output Part of the answer has