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ach of the follow ng graphs shows the pre mage or function P r 3(a 3...
Question 4 g A-2 B 6 0 The sketch shows a circle, a parabola, which is...
Question 4 g A-2 B 6 0 The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has x-intercepts –2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the x-axis. The straight line...
DETAILS Find a function whose graph is a parabola with the given vertex and that passes...
DETAILS Find a function whose graph is a parabola with the given vertex and that passes through the given point. Write your answer in vertex form: f(x)-a(x-)P+* Vertex (-2, -3); passes through the point (-1,-6) f(x) DETAILS Solve the problem. The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? ft
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25...
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25 - x (Hint: Graph it.) (4 pts) (12) Suppose that f(x) - (X-4 XS2 X > 2 Evaluate each of the following: (a) f(-5) (b) f(5) (8 pts) (13) If h(x) = 5x73, find h'(x). pts) (14) Find an equation of the parabola with vertex (5. --3) and which passes through the point (2.4)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are...
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
The figure below shows the graph of a rational function. It has vertical asymptotes x =...
The figure below shows the graph of a rational function. It has vertical asymptotes x = 1 and x = 6, and horizontal asymptote y=0. The graph has x-intercept 3, and it passes through the point (5,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. :() (*) - a(x-6) X- 10 S(x) = (x - 2)(x...
This uestion: 10 pts 5 of 10 (3 completo) For the quadratic function f(x)=x2- Bx, answer...
This uestion: 10 pts 5 of 10 (3 completo) For the quadratic function f(x)=x2- Bx, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vortex, as of symmetry. y-intercept, and x-intercopts, any Does the graph of open up or down? down up 2013 What are the coordinates of the vortex? The vertex of the parabola is (Type an ordered pair Use intogers of fractions for any...
P)- r- 2 Step 3 of 4: Graph the given function by indicating how the more...
P)- r- 2 Step 3 of 4: Graph the given function by indicating how the more basic function has been shited, reflected, stretched, or compressed Answer Keypad Select the type of transformations to create the correct graph. Any further inputs required to complete the transformations will appear when the appropriate selection is made Horizontal Shift O Left O Right O None Stretch/Compress O Stretch O Compress O None x-Axis Reflectlon T0 O Yes O No y-Axis Reflection O Yes O...
13 12 11 10 8 6 7 P 5 P 4 3 r 1 2 MarvelUS...
13 12 11 10 8 6 7 P 5 P 4 3 r 1 2 MarvelUS is a service that streams shows and movies over the internet. As a new subscriber, Gary counted the number of episodes that are available through the service for a selection of his favorite shows. The histogram below summarizes the data. Use the histogram to answer each of the questions. (a) How many shows have from 11 to 16 episodes available? Frequency (Number of shows)...
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1...
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1 6/30 for r= 2 8/30 for r=3 7/30 for r = 4 4/30 for r = 5 2/30 for r= 6 10 otherwise. You may find it helpful to use a table with columns for I, Px(), 2. Px(2), and r.Px() to keep track of your computations. Do not round off-express all values as rational fractions. a) Find the probability P(X<3. b) Find the...
The table below shows the profit, P(z), in dollars, from selling r items. P(z) 1 89.8...
The table below shows the profit, P(z), in dollars, from selling r items. P(z) 1 89.8 2 107.8 3 116 6 81.8 40.6 14 440.6 Using your calculator to do a quadratic regression, express the profit function of the number of items sold as a Preview Round all numbers to 1 decimal place Using your quadratic regression, estimate the profit from selling 11 items? Round to 2 decimal places Select an answer Using your quadratic regression, estimate the number of...
Question 4 g A-2 B 6 0 The sketch shows a circle, a parabola, which is the graph of f, and a straight line, which is the graph of g. The parabola has x-intercepts –2 and 6, and y-intercept 6. Its turning point is C. The circle has its centre at the origin and it passes through the point A, which has coordinates (-2,0). At point B both the circle and the straight line cut the x-axis. The straight line...
DETAILS Find a function whose graph is a parabola with the given vertex and that passes through the given point. Write your answer in vertex form: f(x)-a(x-)P+* Vertex (-2, -3); passes through the point (-1,-6) f(x) DETAILS Solve the problem. The distance that a freely falling body falls varies directly as the square of the time it falls. If a body falls 144 feet in 3 seconds, how far will it fall in 5 seconds? ft
(6 pts) (11) Find the domain and range of the function (x) - 3 - 25 - x (Hint: Graph it.) (4 pts) (12) Suppose that f(x) - (X-4 XS2 X > 2 Evaluate each of the following: (a) f(-5) (b) f(5) (8 pts) (13) If h(x) = 5x73, find h'(x). pts) (14) Find an equation of the parabola with vertex (5. --3) and which passes through the point (2.4)
Graphs of the cost C(x), revenue R(x) and the profit P(x), in thousands of dollars, are shown, where x is the number of thousands of items produced. (a) Use the graph to find the formula for the revenue R(x). (b) The profit is given by P(x) = – x2 + 15x² - 27x- 50. What is the formula for the cost function C(x)? (c) Report the fixed costs. (d) Report the minimum marginal cost. (e) What is the largest profit...
The figure below shows the graph of a rational function. It has vertical asymptotes x = 1 and x = 6, and horizontal asymptote y=0. The graph has x-intercept 3, and it passes through the point (5,-2). The equation for f(x) has one of the five forms shown below. Choose the appropriate form for f(x), and then write the equation. You can assume that f(x) is in simplest form. :() (*) - a(x-6) X- 10 S(x) = (x - 2)(x...
This uestion: 10 pts 5 of 10 (3 completo) For the quadratic function f(x)=x2- Bx, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vortex, as of symmetry. y-intercept, and x-intercopts, any Does the graph of open up or down? down up 2013 What are the coordinates of the vortex? The vertex of the parabola is (Type an ordered pair Use intogers of fractions for any...
P)- r- 2 Step 3 of 4: Graph the given function by indicating how the more basic function has been shited, reflected, stretched, or compressed Answer Keypad Select the type of transformations to create the correct graph. Any further inputs required to complete the transformations will appear when the appropriate selection is made Horizontal Shift O Left O Right O None Stretch/Compress O Stretch O Compress O None x-Axis Reflectlon T0 O Yes O No y-Axis Reflection O Yes O...
13 12 11 10 8 6 7 P 5 P 4 3 r 1 2 MarvelUS is a service that streams shows and movies over the internet. As a new subscriber, Gary counted the number of episodes that are available through the service for a selection of his favorite shows. The histogram below summarizes the data. Use the histogram to answer each of the questions. (a) How many shows have from 11 to 16 episodes available? Frequency (Number of shows)...
5. Consider the discrete random variable X with probability mass function p.) = (3/30 for r=1 6/30 for r= 2 8/30 for r=3 7/30 for r = 4 4/30 for r = 5 2/30 for r= 6 10 otherwise. You may find it helpful to use a table with columns for I, Px(), 2. Px(2), and r.Px() to keep track of your computations. Do not round off-express all values as rational fractions. a) Find the probability P(X<3. b) Find the...
The table below shows the profit, P(z), in dollars, from selling r items. P(z) 1 89.8 2 107.8 3 116 6 81.8 40.6 14 440.6 Using your calculator to do a quadratic regression, express the profit function of the number of items sold as a Preview Round all numbers to 1 decimal place Using your quadratic regression, estimate the profit from selling 11 items? Round to 2 decimal places Select an answer Using your quadratic regression, estimate the number of...
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