Exam 4: Lines parabolas and Systems

Find the equation of a line having slope = 0.5 and x-intercept = 1.8.

Determine whether the following lines are parallel,perpendicular or neither. 3x - 2y = 19 2x + 3y = 4

Find an equation of the horizontal line that passes through the point (5,6).

Suppose the variables q and p are linearly related such that p = 3 when q = 20,and p = 5 when q = 15.Find p when q = 12.

Graph the function y = f(x)= 2 + 2x - 12 and indicate the coordinates of the vertex and intercepts.

Solve the following system algebraically:

Suppose f is a linear function with slope 2 and such that f(-3)= 8.Find f(x).

The daily profit for a lighting store from the sale of a table lamp is given by where x is the number of table lamps sold.Use a graphing calculator to graph the function.

The shape of a paper streamer suspended above a dance floor can be described by the function where y is the height of the streamer (in feet)above the floor and x is the horizontal distance (in feet)from the center of the room.Use a graphing calculator to graph the function.

Two types of chickens,A and B,are raised in a chicken coop.Each day they receive 1.4 kilograms of corn and 2.8 kilograms of millet.Each chicken of type A requires 100 grams of corn and 200 grams of millet.Each chicken of type B requires 60 grams of corn and 120 grams of millet.How many of each type of chicken will the corn and millet support so that all of the food is consumed each day?

Solve the system

Solve the following system algebraically:

Sketch the graph of 5(x + 3)- 3(y - 1)= 0.

Sketch the graph of x = 4.

For the parabola y = f(x)= - 2x - 8,find: (a)the vertex,(b)the y-intercept,and (c)the x-intercepts.

Suppose q and p are linearly related such that p = 30 when q = 5,and p = 50 when Find p when q = 15.

Find a general linear equation of the line that passes through point (-6,4)and has slope -2.

Find the equilibrium point if the demand equation for a product is and the supply equation is

If you solve the following system ,what is the value of y?

The daily profit for the garden department of a store from the sale of trees is given by P(x)= + 18x + 144,where x is the number of trees sold.Use a graphing calculator to graph the function.