Tutors Answer Your Questions about Linear-equations (FREE)
Question 618716: There are two airplanes: plane A and plane B. They travel in opposite directions and they leave an airport at the same time. One plane travels 65km/h slower than the other. If the two planes are 3,438km apart after 2 hours, what is the rate of each plane?
3,438/2
=1719
1719-65=1654
One plane 1719 and the other 1654
Click here to see answer by ewatrrr(24785)   |
Question 618716: There are two airplanes: plane A and plane B. They travel in opposite directions and they leave an airport at the same time. One plane travels 65km/h slower than the other. If the two planes are 3,438km apart after 2 hours, what is the rate of each plane?
3,438/2
=1719
1719-65=1654
One plane 1719 and the other 1654
Click here to see answer by scrapper1880(1) |
Question 619400: The graphs starts in 1996 and shows the trend through the year 2000; therefore x = 0 represents the year 1996 and x = 4 is 2000.
X = axis (horizontal) = years starting from 0 = 1996 and increasing by 1.0 years
Y = (vertical) = price in $ amounts from 92,500 to 127,000.
a) List the coordinates of any two points on the graph in (x,y) form. The numbers on the norizontal axis are 1.0,2.0,3.0,4.0, and 5.0.
(_______,_______)
b) Find the slope of this line:
c) Find the linear equation of this line in slope-intercept form.
d) If the trend for the growth in the median home value continued, what would be its value in the year 2007? Show how you obtained your answer using the linear equation you found in part c).
e) If the trend continued, in how many years would the median home value be $170,000? Show how you obtained your answer using the linear equation you found in part c).
2) Suppose that the width of a rectangle is three feet shorter than length and that the perimeter of the rectangle is 86 feet.
a) Set up an equation for the perimeter involving only L, the length of the rectangle.
b) Solve this linear equation algebraically to find the length of the rectangle. Find the width as well
Length______,Width______
c) Using the same width from your answer on part b), find a new perimeter when the new length is five less than three times the width.
Explain your work here in one or two sentences:
3) John has a choce of using one of two garages downtown:
Option 1: $8 an hour for the first two hours, then $2 an hour for each hour more than 2; or
Option 2: $4 for each hour
Let x = total hours parked
a) Write a mathematical model representing the total parking cost, C, in terms of x for the following (assume John is parking for more than 2 hours).
Option 1: C=________
Option 2: C=________
b) John plans to spend the day downtown (more than 2 hours), how many total hours would John have to park for the cost of option 1 to be less than option 2. Set up an inequality and show your work algebraically using the information in part a).
4) Graph the following equations by completing the tables and plotting the points.
you may use Excel or another web-based graphing utility.
a) Complete the table with the given values of x and the equation y = -1/2+3.
x y
-2
0
4
b) Graph the equation here by plotting the points from your table
c) Complete the table using tjhe given values of x and the equation 4x-y=9.
x y
0
1
2
3
4
d) Graph the equation here by plotting the points from your table.
Click here to see answer by j.evans345(2) |
Question 619449: Solve the following system by substitution.
x=7y+24
x=(7/4)y
My work:
(7/4)y = 7y+24
multiply each side by 4
7y=28y+96
divide by 7
y= 4y+(96/7)
move the Y and 96/7 to the other side
-(96/7) = 3y
I've multiplied 7 on both sides and then divided -672 = 21y which equals to -32
then input the -32 like this
x=7(-32)+24
x=-200
but on the second equation it does not match
x=(7/4)(-32)
x=-56
and here are my choices:
A. The solution set is {( _, _)} (Type an ordered pair)
B. The system has dependent equations. The solution set is {x,y)| _____}
c. The system is inconsisten. The solution set is undefined.
Click here to see answer by jim_thompson5910(35256) |
Question 619449: Solve the following system by substitution.
x=7y+24
x=(7/4)y
My work:
(7/4)y = 7y+24
multiply each side by 4
7y=28y+96
divide by 7
y= 4y+(96/7)
move the Y and 96/7 to the other side
-(96/7) = 3y
I've multiplied 7 on both sides and then divided -672 = 21y which equals to -32
then input the -32 like this
x=7(-32)+24
x=-200
but on the second equation it does not match
x=(7/4)(-32)
x=-56
and here are my choices:
A. The solution set is {( _, _)} (Type an ordered pair)
B. The system has dependent equations. The solution set is {x,y)| _____}
c. The system is inconsisten. The solution set is undefined.
Click here to see answer by ewatrrr(24785) |
Question 619746: If a line has no y-intercept, what can you say about the line? What if a line has no x-intercept? Think of a real-life situation where a graph would have no x- or y-intercept. Will what you say about the line always be true in that situation?
Click here to see answer by vleith(2983) |
Question 620013: Find the intercepts and then use them to graph the equation y-3x=0
I have tried entering 0 into x and y but when i do that, but ordered pairs come out (0,0) and that doesnt work when i try graphing. please help!!
Click here to see answer by lwsshak3(11628) |
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