Exam 4: Lines parabolas and Systems

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Find the Equilibrium Quantity for a product with Demand Equation and Supply Equation as follows: Demand: p = 300 - 8q Supply: p = Find the Equilibrium Quantity for a product with Demand Equation and Supply Equation as follows: Demand: p = 300 - 8q Supply: p =    q + 5 q + 5

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In testing an experimental diet for sheep,it was determined that the (average)live weight w (in kilograms)of a sheep was statistically a linear function of the number of days d after the diet was started,where 0 ≤ d ≤ 150.The weight of a sheep starting the diet was 15 kg and 40 days later it was 43 kg.Determine w as a linear function of d and find the average weight of a sheep when d =100.

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Find the vertex and axis of symmetry of the parabola y = 2 Find the vertex and axis of symmetry of the parabola y = 2    + 3x - 5. + 3x - 5.

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An accountant can complete a simple tax return in about 1.5 hours and a complicated return in about 4 hours.If she works 8 hours per day,find an equation that shows the possible ways that both types of returns can be completed in a 5-day work week.

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Two species of monkey,A and B,live in one enclosure at the zoo where they are fed two vitamin supplements.Each day they receive 350 grams of the first supplement and 700 grams of the second supplement.Each monkey of species A requires 25 g of the first supplement and 50 g of the second supplement.Each monkey of species B requires 15 g of the first supplement and 30 g of the second supplement.How many of each species of monkey will the enclosure support so that all of the supplements are consumed each day?

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Find the slope-intercept form of the line that passes through (2,-3)and (-4,7).

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Graph the general linear form of the equation for the size of a human fetus more than 12 weeks old whose slope-intercept form is L = 1.53t - 6.7. Graph the general linear form of the equation for the size of a human fetus more than 12 weeks old whose slope-intercept form is L = 1.53t - 6.7.

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Suppose that the vertex of the parabola y = 3 Suppose that the vertex of the parabola y = 3    - 6x + k is (1,2); find k. - 6x + k is (1,2); find k.

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Sketch the graph of y = 3. Sketch the graph of y = 3.

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Graph the general linear form of the child dosage equation whose slope-intercept form is Graph the general linear form of the child dosage equation whose slope-intercept form is      Graph the general linear form of the child dosage equation whose slope-intercept form is

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An orthodontist charges $3000 for the phase of treatment for a nine-year old which will provide better alignment and more room for permanent teeth in the future.What is an equation for the relationship between cost C of the treatment and the number of visits required to attain the desired result?

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Find a general linear equation of the line that passes through the points (4,-3)and (6,-7).

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For the parabola y = f(x)= 4 - x - 3 For the parabola y = f(x)= 4 - x - 3    ,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts. ,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

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A general linear equation of the line that has slope -2 and that passes through the point (1,3)is

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A toy rocket is launched straight up from the roof of a garage with an initial velocity of 80 feet per second.The height h of the rocket in feet t seconds after it was thrown is described by the function h(t)= -16 A toy rocket is launched straight up from the roof of a garage with an initial velocity of 80 feet per second.The height h of the rocket in feet t seconds after it was thrown is described by the function h(t)= -16    + 80t + 16.Use a graphing calculator to graph the function. + 80t + 16.Use a graphing calculator to graph the function.

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Suppose f is a linear function with slope 5 and such that f(1)= 4.Find f(x).

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The shape of a rope bridge stretched across a ravine can be described by the function The shape of a rope bridge stretched across a ravine can be described by the function    where y is the height of the bridge (in feet)above the bottom of the ravine and x is the horizontal distance (in feet)from the center of the ravine.A hiker traveling at night shines his flashlight across the ravine,and the path of the beam of light can be described by the function    Where does the beam of light intersect the rope bridge? Use a graphing calculator to answer the question by finding the point(s)of intersection of the two equations. where y is the height of the bridge (in feet)above the bottom of the ravine and x is the horizontal distance (in feet)from the center of the ravine.A hiker traveling at night shines his flashlight across the ravine,and the path of the beam of light can be described by the function The shape of a rope bridge stretched across a ravine can be described by the function    where y is the height of the bridge (in feet)above the bottom of the ravine and x is the horizontal distance (in feet)from the center of the ravine.A hiker traveling at night shines his flashlight across the ravine,and the path of the beam of light can be described by the function    Where does the beam of light intersect the rope bridge? Use a graphing calculator to answer the question by finding the point(s)of intersection of the two equations. Where does the beam of light intersect the rope bridge? Use a graphing calculator to answer the question by finding the point(s)of intersection of the two equations.

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Graph the general linear form of the Olympic discus throw equation whose slope-intercept form is Graph the general linear form of the Olympic discus throw equation whose slope-intercept form is      Graph the general linear form of the Olympic discus throw equation whose slope-intercept form is

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A bank charges $10 for a money order.What is an equation for the relationship between the fee F charged and the amount of the money order?

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A manufacturer produces two products,A and B.For each unit of A sold the profit is $8.For each unit of B sold the profit is $11.From past experience it has been found that 25 percent more of A can be sold than of B.Next year the manufacturer desires a total profit of $42,000.How many units of each product must be sold?

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