### Find five numbers with a mean of 16, a median of 15, a mode of 21 and a range of 11.

Find five numbers with a mean of 16,a median of 15, a mode of 21 and a range of 11.

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Find five numbers with a mean of 16,a median of 15, a mode of 21 and a range of 11.

How does one graph the following? 5 y= - --- x^2 4

1. State the key features (vertex, focus, directrix, direction of opening, and axis of symmetry) of each parabola, and sketch the graph. a) ysquared-2x+4y-7=0 2. Find the equation of each parabola. a) parabola with focus (-2,-1) and directrix y=5 b) ysquared=-6x translated according to ((x,y)arrow(x-2, y+4)

Find the imaginary solutions to each equation. 3y^2 + 8=0

(See attached file for full problem description) Let f (x) = x2 + 3x - 17. Find f ′ (4).

See attached file for full problem description. Find the interval on which the function 2 2 ( ) ( 2) ( 3) f x x x = − + is increasing and decreasing. Sketch the graph of y = f(x), and identify any local maxima and minima. Any global extrema should also be identified.

Expand the square (4z - 4)^2

In a "WEIRD" Mathematical system, the following is true: 11+1=1 11+2=2 5+2=2 3+5=8 5+10=4 12+9=10 9+8=6 18+28=2 27+13=7 10+9=8 11+11=11 33+7=7 22+16=5 15+12=5 15+7=11 23+10=11 22+1=1 35+12=3 These are clues! After figuring out the system answer this problem: 152+46=? It can be a combination of anything,

(See attached file for full problem description) Evaluate lim f(x) for the function given below - x0+ x + 1 x ≤ 0 f(x) = { x - 2 x > 0

Question Please select all the situations below that are POSSIBLE and do not mark those that are IMPOSSIBLE. Each list of numbers is a degree list (list of the degrees of all the vertices) of a graph. If there are extra restrictions - the graph is simple, or a tree, etc - it will be noted in the question. a. Graph, deg

Question 1 Consider the functions f(x) = x^2 and g(x) = square root of x, both with domain and co-domain R+, the set of positive real numbers. Are f and g inverse functions? Give a brief reason. Question 2 Given the Hamming distance function f: A X A -> Z defined on pairs of 8-bit strings, (where A is the set o

X+y<1 or y<4

Refer to the graph given (attached) and identify the graph that represents the corresponding function. Justify your answer. y = 2x y = log2x

-1≤ 3 -2x<11 keywords: inequality

If f is measurable and almost everywhere nonzero, show that 1/f is measurable.

1. The number of 4-year college, public and private, in the period 1980-1996 can be modeled by f(x)=0.0003x^3 - 0.007x^2+0.058x+1.957 0 less than or equal to X less then or equal to 16 Where X is the number of years since 1980 and f(x) is the number of 4-year colleges measured in thousands. Determine the average number

For the function, y = ___1____ x - 2 a) Give the y values for x = -2, -1, 0, 1, 2, 3. Answer: Show work in this space. b) Using these points, draw a curve. Show graph here.

In the real world, what might be a situation where it is preferable for the data to form a relation but not a function? I found the formula that converts temperature in degrees Celsius to temperature in degrees Fahrenheit. It gave me the following data points: Fahrenheit Celsius Freezing point of water 32 0 Boiling po

Given the above graph, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph Type: Explanation: Domain: Range: b) Given the above graph,

Graph the function using the equation in part a. Explain why it is not necessary to plot points to graph when using y = a (x - h) 2 + k. Using the vertex, x-intercept and y intercept The vertex x=h split the graph into two halves. So, drawing the vertical line x=3 and graph. On the graph the curve turn at the vertex ( 3,-

Solve the following equations for the unknown. 1. 5x = 20 2. 7x - 3 = 18 Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. 3. y = x + 3 4. y = -2x - 7 5. 2x + 3y = 9 6. A consumer electronics c

The graph of a solution of a second order initial value problem is given in Figure 1.44... Please show step by step work.

1. Approximate real zeros with zoom and trace (on calculator) for the given function. 2. Sketch graph of 2 rational functions as sketching aids, check for intercepts, symmetry, vertical asymptotes, and horizontal asymptotes 3. The management at a factory has found that the maximum number of units a worker can produce in a

1 The equation xsquared + ysquared =1 represents an ellipse. ________ ________ 25 169 a) State the lengths of the major and the minor axes. b) State the x-intercepts and y-intercepts. c) Find the coordinates of loci. d) Find the points of intersectio

Draw two break-even graphs-one for a conservative firm using labor-intensive production and another for a capital-intensive firm. Assuming these companies compete within the same industry and have identical sales, explain the impact of changes in sales volume on both firms' profits. Although no example is provided in the

1. Graph line with equation y=-4x-2. 2. 2x=8y=17=0 3. Graph the line with slope -2 passing through the point (-3,4). 4. Find slope of the line graphed (-44, 28) (9, -12). 5. x=9 graph the line 6. 6x-9y+7=0. 7. 2x=5y+3 8. Write an equation of line (0, -4). 9. A line passes through the point (6, -6

1. f(x) = x^3 + x^2 - 4x - 4. (a) What is the end behavior of this function? (Does it go up or down to the left? Does it go up or down the right?) (b) What is the maximum number of turning points for this function? 2. Give the coordinates of the vertex of the parabola y = (x + 2)^2 + 5. 3. Use Descartes's Rule of Sig

1. Simplify: (3x^-2y^3)^2(3xy)^-2 / (2x^4y^3)^-3 2. Solve for X: 5 + sqrt3x + 1 = 9 3. State the slope and y-intercept of the line given and graph on the axis: 3x - 4y = 12

1. Simplify the expression using properties of exponents. Answer should contain positive exponents only. (3x^2y^3)^2(3xy)^2 / (2x^4y^3)^-3 2. Solve for X: 3/x - 1/x+2 = -2/3x+6 3. Use the quadratic formula to solve for x: x^2 -4x + 2 = 0 4. Solve for x by factoring: x^3 + x^2 -