Questions on Algebra: Linear Equations, Graphs, Slope answered by real tutors!

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Question 198303: To solve a system of three linear equations in three variables by the addition method. Solve by the addition method:
2y+z=7
2x-z=3
x-y=3
Click here to see answer by arallie(162)

Question 198320: Write an equationin slope intercept formof a linear function f whose graph satisfys the following conditions:
The graph of f passes through (-1,5) and is perpendicular to the line whose equation is x=6.
Click here to see answer by edjones(8007)

Question 198122: thanks for your help
find the limits
lim (35x^8+39xh^4+3x^16h+27)
h->0
not sure what to due with the x
Click here to see answer by Alan3354(69443)

Question 198361: Find the equation of the line (in y = mx + b form) that passes through the points
(-8, 6.5) and (9, -11)

Click here to see answer by arallie(162)

Question 198362: ) Your friend is buying candy for his sweetie for Valentine�s Day. He decides to buy chocolate-covered almonds, peanut butter cups, and toffee crunch. The chocolate-covered almonds cost $4.50 per pound, the peanut butter cups are $1.50 per pound (he got those at Walmart), and the toffee crunch costs $3.75 per pound. Your friend decides three things: (
1. He is going to spend $35.
2. He is going to get his sweetie 12 pounds of candy.
3. He is going to buy 3 more pounds of peanut butter cups than chocolate almonds.
If a, p, and t represent the weights of almonds, peanut butter cups, and toffee (respectively), write three equations based on your friend�s three decisions above�.do not solve!

Click here to see answer by arallie(162)

Question 198363: TRUE or FALSE There are more irrational numbers than real numbers. and justify your choice
Click here to see answer by arallie(162)

Question 198192: A factory makes two types of liquid cleaners. It takes 4 hours of labor to make a ton of their cleaner and 6 hours of labor to make a ton of extra strength cleaner. The company can only afford to pay for 480 hours of labor.
a. Write and graph a linear inequality whose solution set is all the possible combinations of the two types of cleaning solutions that the company can make without going over 480 hours of labor costs.
b. If the company produces 75 tons of their regular strength cleaner, what is the most extra strength cleaner they can make?
c. If the company chooses to make 40 tons of extra strength cleanerwill they be able to produce 70 tons of the regular strength? Explain why or why not.
Click here to see answer by arallie(162)

Question 198189: A grocery store sells Columbian coffee for $4 dollars per pound and Jamaican coffee for$12 dollars per pound. How much of each are needed to create a mixture weighing 10 pounds and costing $60?
a. Write two linear equations in standard form to model this problem
let x be pounds Columbian; y be pounds Jamaican
b. change your equation to slope intercept form. use your calculator to graph. Label the intersection of your graph and label each line with its equation in slope intercept form
c. How many pounds of each coffee is needed?
Click here to see answer by arallie(162)

Question 198184: The boiling point of water at sea level is 100 degrees celsius. The boiling point decreases 3.5 degrees for every 1 kilometer increase in altitude.
a. Determine a linear function that will give the boiling point of water as a function of altitude.
b. Graph the function on the axis provided.
c. Use this model to determine the boiling point of water at Colorado Springs, Colorado 2 kilometers above sea level. Plot and label.
d. Determine the altitude(in kilometers) at which water will boil at 50 degrees celsius(round to two places)
Click here to see answer by arallie(162)

Question 198403: TRUE or FALSE The x � intercept of the equation y = 6x + 4 is � ⅔
Click here to see answer by Alan3354(69443)

Question 198412: Donna invested her 33000 bonus, and received a total of 970 in interest after one year. If part of the money returned 4% and the remainding 2.25%. then how much did she invest at each rate?
Click here to see answer by josmiceli(19441)

Question 198444: Find the equation of the line that is parallel to y = 6x � 15 and passes through the origin.
Click here to see answer by nerdybill(7384)

Question 198443: Find the equation of the line (in y = mx + b form)slope intercept form that passes through the points
(-8, 6.5) and (9, -11)

Click here to see answer by arallie(162)

Question 198512: Find the equation of the line (in y = mx + b form) that passes through the points
(-8, 6.5) and (9, -11)

Click here to see answer by stanbon(75887)

Question 198499: The x - intercept of the equation y = 6x + 4 is -2/3.
Click here to see answer by jojo14344(1513)

Question 198543: 3. Solve by substitution or elimination method:
-2x + 6y = 19
10x � 30y = -15

Click here to see answer by J2R2R(94)

Question 198537: b) The water line is given by the equation
.
Suppose you want to put a pink flamingo lawn ornament in your backyard, but you want to avoid placing it directly over the water line, in case you need to excavate the line for repairs in the future. Could you place it at the point (-4,-10)?
c) What is the slope and y-intercept of the line in part b? How do you know?
d) Suppose you want to add a sprinkler system, and the location of one section of the sprinkler line can be described by the equation
.
Complete the table for this equation.
x Y (x,y)
-1
-2
-4
2
8
e) What objects might be in the way as you lay the pipe for the sprinkler?
Click here to see answer by solver91311(24713)

Question 198489: graph the equation & identify the Y intercept for the following problems
1)Y=1/2 X
2) Y=4x-7
3)Y=X=-2
Click here to see answer by arallie(162)

Question 198644: determine the slope of the line that contains the points (-2,5) and (-5,-7)
Click here to see answer by jim_thompson5910(35256)

Question 198657: what is the graph of x-2y=4
Click here to see answer by vleith(2983)

Question 198691: What is the slope of the line with equation 2x+3y+6=0
Click here to see answer by Alan3354(69443)

Question 198716: On the interval -pie _< x _< 2pie, Graph the following functions
y= 2sin x
y=2csc x
y=csc x
State the domain, range, max, min, amplitude, for each function

Click here to see answer by Alan3354(69443)

Question 198739: You have 2 solutions of liquid. One contains 10% water and the other contains 30% water. How many quarts of each should you mix in order to obtain 30 quarts of mixture that is 25% water?
Click here to see answer by checkley75(3666)

Question 198371: I am having trouble and need some help with this problem.
Solve the system of linear inequalities by graphing.
y 2x+y<-4
Thank you very much
Click here to see answer by solver91311(24713)

Question 198838: Find the slope and y-intercept of the line 6x-3y=72
Click here to see answer by jim_thompson5910(35256)

Question 198839: Rewrite the equation in slope-intercept form. 8x-3y-5=0
Click here to see answer by jim_thompson5910(35256)

Question 198840: fine the slope of the line that contains (4,5) and (4,4)
Click here to see answer by jim_thompson5910(35256)

Question 198841: find both intercepts of the line 3x+4y=-12
Click here to see answer by jim_thompson5910(35256)

Question 198844: what is the x-intercept of the line 4x+y=4
Click here to see answer by jim_thompson5910(35256)

Question 198846: state the x and y-intercept of y=4x-7
Click here to see answer by jim_thompson5910(35256)

Question 198824: Let A(-2,4), B(-7,1) and C(-1,-5) be the vertices of a triangle.
a. Find an equation whose graph is a line that contains the median from A to the midpoint of line segment BC.
b. Find the length of the median from A to line segment BC.
c. Find the length of the altitude from A to line segment BC.
d. Find the area of the traingle ABC.
Thanks.
Click here to see answer by solver91311(24713)

Question 198850: solving x-y=6 for y results in y=-x+6

Click here to see answer by jim_thompson5910(35256)

Question 198787: Linear relationship between two quantities can be described by an equation or an graph. Which one is more informative and why?
Click here to see answer by solver91311(24713)

Question 198866: 7x+6y-1=0
Click here to see answer by Alan3354(69443)

Question 198888: what is the slope of a line perpendicular to the line with the equation 2y+7x=14?
Click here to see answer by sailajasrinivasp(2)

Question 198930: 5x-5y=3
Click here to see answer by vleith(2983)

Question 198926: y=5x-4
Click here to see answer by jojo14344(1513)

Question 198932: 5x-y=4
Click here to see answer by checkley75(3666)

Question 198929: 5x-5y=3
Click here to see answer by checkley75(3666)

Question 199093: Find two linear functions, f and h, such that f(x)*h(x)=4x^2-12x-7.
Click here to see answer by jim_thompson5910(35256)

Question 199103: Find an equation of a line perpendicular to 2x-5y=20?
Click here to see answer by Alan3354(69443)

Question 199106: what is the slope for the line: (0,4100),(3,4850)?

Click here to see answer by checkley75(3666)

Question 199105: Find an equation of a line parallel to 2x-5y=20?

Click here to see answer by checkley75(3666)

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