Exam 4: Lines parabolas and Systems

Solve the following system algebraically:

A manufacturer sells his product at $12.50 per unit,selling all he produces.His fixed cost is $5,000 and his variable cost per unit is $8.50.(a)At what level of production will he break even? (b)At what level of production will he have a profit of $10,000?

The y-intercept of the line determined by the points (-1,-4)and (-2,5)is

Determine whether the following lines are parallel,perpendicular or neither. 0.21x - 0.35y + 8 = 0 x + 0.6y - 9 = 0

Solve the following nonlinear system of equations by sketching its graph (using graphing calculator or using graph paper.)If the equations have no solutions,please say so.

A nut shop packages mixtures of different nuts for sale.From peanuts,cashews and almonds,the owner wants to prepare a mixture which will sell for $4.45 for a 1 pound bag.The cost per pound of these nuts is $1.50,$6.00,and $4.00,respectively.The amount of peanuts is to be three times the amount of almonds.How much of each type of nut will be in the final blend?

Solve the following system algebraically:

Find an equation of the line that passes through the origin and that has slope -5.

Suppose consumers will demand 30 units of a product when the price is $12 per unit and 22 units when the price is $16 each.Find the demand equation assuming that it is linear.

Determine the linear function f(t)with slope = -1 and f(2)= 1.

A coordinate map of a zoo shows the outdoor aviary at (2,4)and the snack bar at (2,8).What is an equation for the line between these two locations?

Solve the following system algebraically:

Find the equation of a line having slope = 1 and x-intercept = -2.

Find the slope-intercept form of the line that passes through (0,4)and (1,1).

10 square yards of a good quality wool carpet costs $400 and 20 square yards costs $800.Use a graphing calculator to show the relationship between cost and amount purchased.Find and interpret the slope.

Find the maximum value of f(x)= 7 - 2x - .

Solve the following nonlinear system:

What is the slope of a horizontal line?

The slope of the line passing through the points (4,9)and (6,k)is 5.Find k.

Solve the following questions algebraically: