Question 1

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

Accepted Answer

The answer of Find the equation of a line which...

Question 2

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.

Accepted Answer

The answer of The shape of a decorative awning over...

Question 3

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.

Accepted Answer

The answer of A California homeowner with a 30-year fixed...

Question 4

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

Accepted Answer

The answer of Graph the equation 3x + 4y -...

Question 5

Solve the system:

Accepted Answer

The answer of Solve the system: ...

Question 6

The solution of the system  is

Accepted Answer

A)  x = 5, y = -1 
B)  x =  , y =  
C)  x = -  , y =  
D)  the coordinates of any point on the line y =  x -  
E)  no solution

Question 7

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.

Accepted Answer

The answer of The stock price of a company has...

Question 8

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

Accepted Answer

A)  4. 
B)  -4. 
C)   
D)  -  
E)  -

Question 9

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

Accepted Answer

The answer of For the line y = 7x -...

Question 10

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?

Accepted Answer

The answer of A hobby store packages mixtures of different...

Question 11

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.

Accepted Answer

The answer of A man standing on a pitcher's mound...

Question 12

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

Accepted Answer

The answer of Suppose that f(x)is a linear function with...

Question 13

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

Accepted Answer

A)  2. 
B)  -2. 
C)   
D)  -  
E)  4.

Question 14

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

Accepted Answer

A)  4. 
B)  -4. 
C)   
D)  -  
E)  -

Question 15

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.

Accepted Answer

The answer of A prediction made by early psychology relating...

Question 16

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.

Accepted Answer

The answer of The demand per week for a new...

Question 17

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?

Accepted Answer

The answer of Tickets to an opera at the Masonic...

Question 18

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

Accepted Answer

A)  (4, 20) 
B)  (-2, -32) 
C)  (-2, 4) 
D)  (2, 4) 
E)  (2, 16)

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).

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 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 .