Exam 4: Lines parabolas and Systems

Find the equation of a line which is perpendicular to the line x = 0.521 and passes through the point (0.1,-7).

The shape of a decorative awning over a storefront can be described by the function y = f(x)= 0.06 + 0.012x + 8 where y is the height of the edge of the awning (in feet)above the sidewalk and x is the distance (in feet)from the center of the store's doorway.Use a graphing calculator to graph the function.

A California homeowner with a 30-year fixed rate mortgage pays $170,000 after 5 years and $266,000 after 9 years.Use a graphing calculator to graph the resulting equation and determine how much the homeowner will have paid when the mortgage is paid off in 30 years.

Graph the equation 3x + 4y - 12 = 0.

Solve the system:

The solution of the system is

The stock price of a company has risen at the rate of $5.00 per month over the last year.On January 1 it was $75.00.Write an equation that shows this relationship.

The y-intercept of the line 3x + 5y + 4 = 0 is

For the line y = 7x - 3,find (a)the slope and (b)the y-intercept.

A hobby store packages mixtures of different beads for sale.From wood beads,glass beads,and metal beads,the owner wants to prepare a mixture which will sell for $4.20 for a 200 count bag.The cost per bead of these beads is $0.01,$0.03,and $0.05,respectively.The number of wooden beads is to be four times the number of metal beads.How many of each type of bead will be in the final package?

A man standing on a pitcher's mound throws a ball straight up with an initial velocity of 32 feet per second.The height h of the ball in feet t seconds after it was thrown is described by the function h(t)= -16 + 32t + 8.Use a graphing calculator to graph the function.

Suppose that f(x)is a linear function with slope = -3 and y-intercept ,then find the function f(x).

The slope of the line 4x - 8y + 3 = 0 is

The slope of the line 4x + 5y + 3 = 0 is

A prediction made by early psychology relating the magnitude of a stimulus x to the magnitude of a response y is expressed by the equation y = k ,where k is a constant of the experiment.In an experiment on noise levels, Use a graphing calculator to graph the equation.

The demand per week for a new automobile is 400 units when the price is $16,700 each,and 500 units when the price is $14,900 each.Find the demand equation for the cars,assuming that it is linear.

Tickets to an opera at the Masonic Auditorium cost $14 for main floor seats and $10 for the balcony seats.If $8600 must be collected to meet expenses,what is an equation for the possible combinations of ticket sales to cover costs?

Find the vertex of the graph of the quadratic function y = f(x)= 4 + 12x - 3 .