Tutors Answer Your Questions about Linear-equations (FREE)
Question 1018939: 2. Solve the following systems of equations by elimination. Verify the solutions.
a. r + 2s + 1 = 0
r + 5s + 28 = 0
b. 4m - 3n = 27
8m - 6n = 18
c. 0.6x = 1.2 + 0.3y
2.2x - 1.8y - 1.6 = 0
3. Frank has $8 000 that he plans to split into two investments. He wrote the following two equations to represent the interest he will earn from each of the two investment options.
• 2000A + 6000B = 520
• 4000A + 4000B = 480
Determine the interest rates, A and B, as percentages.
Click here to see answer by FrankM(1040)  |
Question 1018972: I am investigating a pattern, our topic is linear patterns. The pattern is a square like shape. But there are always 6 new blocks added to the top of the shape. My class is doing the ten step method.
Ten steps:
1. Introduction
2. Describe in words
3. Define in terms. Example: T= total number of blocks
4. Make a table
5. Find the general rule (nth term)
6. Check validity and make a prediction
7. Make a graph
8. Justify and prove the formula works
9. Make a conclusion
I am sorry there are only 9 steps because my class is doing this assignment virtually.
My question,
My question is from question 5, (find the general rule, nth term.)
If in the pattern you increase by 6, then what is the zero term?
Thank you, I know this is a lot, but please help me, if you don't understand, contact me.
Click here to see answer by josgarithmetic(39617) |
Question 1018941: PLEASE I NEED ANSWERS
1. Solve the following system. Verify the solution.
y = 4x – 11
x = 2y – 13
2.
4. State a favourite strategy for solving a linear system of equations. Provide step-by-step instructions for the chosen strategy such that another Math 10C student could easily follow.
Answer:
5. Describe the advantages of verifying solutions to systems of equations graphically and
algebraically.
6. A system of linear equations can have zero, one, or an infinite number of solutions.
a. Describe a rule that can be used to determine the number of solutions a system of linear
equations will have.
b. Use the base example of two people walking to describe a system of two linear equations that has
Click here to see answer by josgarithmetic(39617) |
Question 1018942: Ari has been paying attention to the number of calories she burns while exercising. One day she spent three hours hiking and four hours canoeing, and she calculated that she burned 2 338 calories. The next day, she hiked for seven hours and canoed for one hour, and she calculated that she burned 3 322 calories. How many calories per hour does Ari burn doing each exercise?
Click here to see answer by Cromlix(4381)  |
Question 1018933: PLEASE NEED ANSWERS: and show work
1. 4. Use technology to determine an approximate solution to the system y =- 0.44x + 12.6 and y =- 7.21x – 55.6. Explain the procedure. PLEASE PROVIDE GRAPH
2. 1. Solve and verify each of the following systems of linear equations.
a. 5x – 2y =- 6 and 2x – y = 1
Answer:
b. 2x + 3y = 432 and 5x – 2y = 16
Answer:
3. The numbers x and y have a sum of 1 and a difference of 11.
a. Write a system of equations to represent this information.
Answer:
b. Solve the system of equations to determine the numbers.
Answer:
Click here to see answer by Alan3354(69443)  |
Question 1019076: Determine whether the system of linear equations has one and only one solution, infinitely many solutions, or no solution.
x − 3y = −11
4x + 3y = 16
Find the solution, if one exists. (If there are infinitely many solutions, express x and y in terms of the parameter t. If there is
no solution, enter NO SOLUTION.)
(x, y)=
Click here to see answer by Fombitz(32388)  |
Question 1019381: Write an equation of the line that passes through points 1,5 and 2,3
My work:
M=-2 (was hard to show how I got the answer so I'm just gonna put what I got)
Y=MX+b
5=-2+b
5-2=b
3=b
M=-2
B=3
Y=-2x+3
The teacher told me that the correct answer was y=-2x+7
How did she get that?
Click here to see answer by MathLover1(20849)  |
Question 1019382: Hannah and Jacob decided to invest the same amount of money in a different savings account. Hannahs saving account grows at $10 per week and Jacobs grows half as fast.
X= # of weeks
Y= total money in savings account
Hannah: m= 1 b= 10 equation: y=1x+10
Jacob: m= 1 b=20 equation: y=1x+20x
What did I do wrong?
Click here to see answer by Screamgirl(4) |
Question 1019417: Write the following equations in the form y = mx + b and determine the number of solutions for each given system of equations.
(1) 3x + 9y = 36. (2) 2/3 + 2y = 8.
Number of solutions.
Convert each of the following equations to the form y = mx + b and verify whether the ordered pair (3, -2) is a solution - pair of the given system.
(1) 2x - 7y = 20. (2) x/4 + y/3 -2 = 0.
Is the ordered pair (3, -2) a solution - pair of this system?
Click here to see answer by Boreal(15235)  |
Question 1019673: Consider the 2 ordered pairs (3,4) and (6,8).
(a) Find the slope of the line passing through these two points? I believe this is m=4/3
(b) Find the equation of the line passing through these two points. I believe this is y=4x/3
(c) Find the x and y intercepts of the line passing through these two points.
This is what I am stuck on. I can only find how to solve for the slope and y intercept and am getting confused.
Thank you.
Click here to see answer by Cromlix(4381)  |
Question 1019980: show the equation the land elevations in Nevada fall from the 13,143 feet height of Boundary Peak to the Colorado River at 470 feet. To the nearest tenth, what is the range of these elevations in miles? (Hint:1 mile is 5,280 feet)
Click here to see answer by solver91311(24713)  |
Question 1019993: To hold the temperature of a room between 23 degree and 26 degree Celsius, what Fahrenheit temperature must be maintained?
Hint Farenheit temperature and Celsius temperature are related by the formula
can you please show me step by step to solve this problem.
Click here to see answer by solver91311(24713)  |
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