Tutors Answer Your Questions about Linear-equations (FREE)
Question 1017914: Can someone please explain to me what a slope actually is? Is it a value? Is it the y-value? if so why the y-value?
I know it's defined like m = (y2-y1)/(x2-x1) but that doesn't make sense to me. Why the change in y's and the changes in x's? I don't get it. And why are they being divided? what does division do to them? Why does subtracting the y or x values give us their overall change? Is y the change in height and x the change in length? Or should I think of it like vertical distance / horizontal distance?
I think I understand parts of slope, like slope can be thought of like an angle and at what angle it is shows how much it rises or falls over a certain region, I think? like a gradual increase or decrease?
This is such a confuses concept for me. How can slope be a value? like how does that even work?
Thank you
Click here to see answer by ikleyn(52781)   |
Question 1018017: I NEED THE ANSWERS ASAP PLEASE
1. Expand and simplify, if possible.
a. (x + 1)(x + 2)
b. (x – 2y)(y – 3x)
c. (2p + 3)(p2 – 4p – 7)
2. Choose values for a and b and use them to verify the product shown.(5a + b)(a – 6b) = 5a2 – 29ab – 6b2
3. Denise has multiplied (2r – 3)(2r + 3) to get 4r2 – 9. After looking at her work, Hyder says her solution must be incorrect because multiplying two binomials will always produce a trinomial. Which student is correct? Explain the error to the incorrect student.
4. The total area of a picture and its frame can be represented by (l + 2f)(w + 2f), where l and w represent the length and width of the picture, respectively, and f represents the thickness of the frame.
a. Sketch a diagram to represent this scenario.
Click here to see answer by josgarithmetic(39617) |
Question 1018243: Please help me solve this problem: Valerie needs to to put a fence around her pool and deck. The area to be fenced is rectangular in shape such that the length is 2 feet longer than the width. If she needs a total of 140 feet of fencing, what are the dimensions (length and width) of the area to be fenced?
Click here to see answer by josgarithmetic(39617) |
Question 1018243: Please help me solve this problem: Valerie needs to to put a fence around her pool and deck. The area to be fenced is rectangular in shape such that the length is 2 feet longer than the width. If she needs a total of 140 feet of fencing, what are the dimensions (length and width) of the area to be fenced?
Click here to see answer by josmiceli(19441)  |
Question 1018266: Finding the rate of change
I have a graph of "New Vehicle Sales"
in 2005 17,445 vehicles were sold and in 2009 10,601 vehicles sold. Determine the average rate of change (slope) from 2005 to 2009 and interpret the results
Click here to see answer by stanbon(75887) |
Question 1018574: PLEASE NEED ANSWERS ASAP NOW, SHOW ALL WORK
1. State the slope and a point on the line y – 18 = 71.3(x + 98).
Answer:
2. Write an equation for a line that passes through the point (4,9) and has a slope of 16.
3. Explain why y + 1 = 1.2(x + 2) and y – 5 = 1.2(x – 3) represent the same line, despite having different equations.
Click here to see answer by Cromlix(4381)  |
Question 1018575: PLEASE NEED ANSWERS ASAP NOW, SHOW ALL WORK
1. In water, the greater the depth, the higher the pressure.
For every 10 m increase in depth, water pressure
increases by about 100 kilopascals (kPa). At a depth of
40 , the pressure is approximately 500 kPa.
a. State the independent and dependent variables in this
scenario.
Answer:
b. What is the rate of change in this relationship?
Answer:
c. Write the equation of a linear relation representing the pressure, p, at a depth, d, under water.
Answer:
d. What is the pressure at a depth of 100 m?
Answer:
e. At what depth will the pressure be 725 kPa?
Answer:
Click here to see answer by addingup(3677)  |
Question 1018577: NEED ANSWERS ASAP
5. Arial says that, for any pair of linear relations, if the coefficients of the y-terms are equal and the coefficients of the x-terms are equal, the graphs of the two lines will be parallel.
a. Give an example for which Arial’s claim is true.
Answer:
b. Give an example for which Arial’s claim is false.
Answer:
c. Suggest an improvement to Arial’s claim,
Answer:
Click here to see answer by KMST(5328)  |
Question 1018576: PLEASE NEED ANSWERS ASAP NOW, SHOW ALL WORK
1. The slopes of two lines are and . Determine the value of p that will make the lines
a. Parallel
Answer:
b. Perpendicular
Answer:
2. Explain why negative reciprocals always have a product of –1.
Answer:
3. A line passes through the points (14,5) and (19,15). Determine an equation for a perpendicular line that passes through the point (19,15).
Answer:
/1 4. Do perpendicular lines always have slopes that are negative reciprocals?
Answer:
Click here to see answer by richard1234(7193)  |
Question 1018523: A Table Affair, which sells European tablecloths at local farmers markets, has the following weekly revenue and cost functions:
R(t) = 120t
C(t) = 40t + 700
where R(t) represents the weekly revenue in dollars for selling t tablecloths and C(t) represents the weekly costs in dollars for selling t tablecloths. Find the number of tablecloths A Table Affair must sell to break-even or make a profit.
A Table Affair must sell at least______table cloths to break even or make a profit.
Click here to see answer by toddcarnes(6)  |
Question 1018651: 1. State the slope and y-intercept of the graph of 9 – x = 2y
2. 6. Tim has developed a money-saving strategy that uses the formula S = 450 + 100r .
/1 a. Give a possible interpretation of Tim’s strategy.
/1 b. What do the slope and S-intercept of the graph of the relation represent, based on the interpretation from part a.?
/1 c. Using the interpretation from part a., what will have to happen for Tim to save $1250?
/1 d. If Tim plans to stop his savings plan once he has accumulated $1250, what are the domain and range of this relation?
Click here to see answer by Boreal(15235)  |
Question 1018654: NEED ANSWERS PLEASE PLEASE!!
1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used.
2. Sketch a graph of the linear relation 8x + 2y = 24. Explain the procedure.
3. Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
Click here to see answer by josgarithmetic(39617) |
Question 1018654: NEED ANSWERS PLEASE PLEASE!!
1. Sketch a graph of the relation y + 4 = 2(x – 3). Explain the procedure used.
2. Sketch a graph of the linear relation 8x + 2y = 24. Explain the procedure.
3. Determine the value of B such that the line defined by 8x + By + 92 = 0 passes through the point (-4,12).
Click here to see answer by MathTherapy(10552)  |
Question 1018666: NEED ANSWERS ASAP SHOW WORK PLEASE I KNOW ITS LONG BUT PLEASE I REALLY NEED IT RIGHT NOW
1. Solve and verify each of the following systems of linear equations.
/3 a. 5x – 2y =- 6 and 2x – y = 1
Answer:
/3 b. 2x + 3y = 432 and 5x – 2y = 16
Answer:
2. Lena thinks she has found a shortcut for solving some linear systems. Her solution to the ystem 4y = 3x + 7 and 9x + 4y – 139 = 0 is shown.
/1 a. Is Lena’s method correct?
Answer:
/1 b. If Lena’s method is correct, explain it. If it is incorrect, describe her error.
Answer:
3. The numbers x and y have a sum of 1 and a difference of 11.
/1 a. Write a system of equations to represent this information.
Answer:
/2 b. Solve the system of equations to determine the numbers.
Answer:
Click here to see answer by richard1234(7193) |
Question 1018655: 6. Tayler claims that when a linear equation is written in general form, Ax + By + C = 0, the intercept of the corresponding graph is always .
/1 a. Show that Tayler’s claim is true for the equation 3x + 5y + 45 = 0.
Answer:
/1 b. Explain why represents the x-intercept. (Hint: What y-value can be substituted into
Ax + By + C = 0 to determine the x-intercept?)
Answer:
/1 c. Tayler’s claim is not true for horizontal lines. Explain why.
Answer:
/1 d. Suggest a similar rule for the y-intercept. Check the rule using 3x + 5y + 45 = 0.
Answer:
/1 e. Will the rule always work?
Click here to see answer by josgarithmetic(39617) |
Question 1018931: PLEASE NEED ANSWERS: and show work
1. Consider the linear system of equations y = 2/5x - 1 and 2x - 3y + 1 = 0
a. Graph the system of equations.
b. What is the solution to the system of equations?
c. Verify the solution.
Click here to see answer by stanbon(75887) |
Question 1018938: NEED ANSWERS
1. Brass is an alloy made by melting and mixing copper and zinc. A metallurgist has two brass alloys, one that is 65% copper and one that is 90% copper. He would like to combine a portion of each alloy to produce 500 g of a new alloy that is 75% copper.
3. For a local carnival, adult tickets cost $32 and child tickets cost $14. If 193 people attended the carnival, and they paid $4 034 altogether, how many adults and how many children were there?
a. Write a system of equations that can be used to represent this scenario.
b. Solve the system of equations.
c. How many adults and how many children were there?
d. Does the conclusion agree with the original information?
4. Tanya has 44 quarters and dimes worth $8.30. How many of each type of coin does she have?
Answer:
Click here to see answer by stanbon(75887) |
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