1,472 Answered Questions for the topic Linear Equations

Linear Equations Algebra 1 Algebra 2 Calculus

02/09/21

Solve for the following problems. Provide a detailed solution.
1. If f(x) = 5x^4 - 4x^3 + 3x^2 - 2x + 1, find f(-1).2. If f(n+1) = 2f(n) + 1 for every natural number n and f(1) = 3, find f(11).3. The function is called a nested function, and is defined as:f(x)... more
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Linear Equations Algebra 1 Algebra 2 Calculus

02/09/21

Solve for the following problems. Provide a detailed solution.
1. If f(x) = 5x^4 - 4x^3 + 3x^2 - 2x + 1, find f(-1).2. If f(n+1) = 2f(n) + 1 for every natural number n and f(1) = 3, find f(11).3. The function is called a nested function, and is defined as:f(x)... more
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Linear Equations Math Linear Algebra

01/29/21

One auto repair shop charges 30 for a diagnosis plus 25 per hour for labor, and another just charges 35 per hour
I need the model of the situation, and the line intecept, thank you so much for answering!One auto repair shop charges 30 for a diagnosis plus 25 per hour for labor, and another just charges 35 per... more
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Linear Equations Math Algebra 1 Algebra 2

01/29/21

The cost, C of filling a car with fuel is directly proportional to the number, N litres of fuel purchased.
Please help i don't understand a) Write the variation equation relating C, N and the constant of variation, kb) If the cost of 32 litres of fuel is $40 find the value of k.c) Find the cost of... more
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Linear Equations Algebra 1 Linear Algebra Algebra

01/27/21

Determine the equation of a line that has the same x-intercept as the line x+4y−1=0 and the same y-intercept as the line 4x−5y−10=0
(2 marks for finding x-intercept, 2 marks for finding y-intercept, 1 mark for finding slope, 1 mark for creating equation)
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Linear Equations Algebra 1 Linear Algebra Algebra

01/27/21

A quadrilateral has vertices A(-1, -2), B(1, 2), C(9, -2), and D(7, -6). Without graphing, determine whether this quadrilateral is a rectangle.
Note: vertices are listed in clockwise orderNote: a quadrilateral is a 4-sided shapeNote: a rectangle has two sets of parallel lines(1 mark for finding slope of AB, 1 mark for finding slope of BC,... more
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Linear Equations Algebra 1 Linear Algebra Algebra

01/27/21

Determine the equation of a line that has a slope of -3 and passes through the point (-2, 5).
(0.5 mark for substituting slope value correctly, 0.5 mark for substituting x and y values correctly, 1 mark for isolating and solving for b, 1 mark for writing correct equation)
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01/25/21

A town is organizing a Fourth of July Parade. Solve the Problem by showing your work, solutions and your steps.
Solve the Problem by showing your work, solutions and your steps.A town is organizing a Fourth of July parade. There will be two sizes of floats in the parade, the first is 30ft and the second is... more
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01/25/21

A town is organizing a Fourth of July Parade. Solve the Problem by showing your work, solutions and your steps.
Solve the Problem by showing your work, solutions and your steps.A town is organizing a Fourth of July parade. There will be two sizes of floats in the parade, the first is 30ft and the second is... more
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01/25/21

A town is organizing a Fourth of July Parade. Solve the Problem by showing your work, solutions and your steps.
Solve the Problem by showing your work, solutions and your steps.A town is organizing a Fourth of July parade. There will be two sizes of floats in the parade, the first is 30ft and the second is... more
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Linear Equations Linear Algebra

01/25/21

A town is organizing a Fourth of July Parade.
A town is organizing a Fourth of July parade. There will be two sizes of floats in the parade, the first is 30ft and the second is 15ft.. A space of 10 ft will be left after each float. A. Describe... more
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01/23/21

Solving a value mixture problem using a system of linear equations
The Barnes family and the Tran family each used their sprinklers last summer. The water output rate for the Barnes family's sprinkler was 35L per hour. The water output rate for the Tran family's... more
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Linear Equations Word Problem Algrebra

01/23/21

Solving a word problem using a system of linear equations of the form Ax + By = C
One month Karen rented 5 movies and 3 video games for a total of $37. The next month she rented 2 movies and 6 video games for a total of $40. Find the rental cost for each movie and each video game.
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01/23/21

Solving a value mixture problem using a system of linear equations
A delivery truck is transporting boxes of two sizes: large and small. The combined weight of a large box and a small box is 75 pounds. The truck is transporting 55 large boxes and 60 small boxes.... more
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Linear Equations Algebra Word Problem Y=mx+b

01/23/21

Solving a word problem using a system of linear equations of the form y = mx + b
A phone company offers two monthly plans. Plan A costs $16 plus an additional $0.14 for each minute of calls. Plan B costs $26 plus an additional $0.09 for each minute of calls. For what amount of... more
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Linear Equations Algebra Word Probem

01/23/21

Solving a word problem using a system of linear equations of the form Ax + By = C
A party rental company has chairs and tables for rent. The total cost to rent 8 chairs and 4 tables is $45. The total cost to rent 3 chairs and 2 tables is $21. What is the cost to rent each chair... more
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Linear Equations Linear Algebra

01/15/21

You would like to see how many baseball and basketball games you can attend this summer.
Travel time for baseball games is 2 hours and basketball games is 1 hour. You would like to spend no more than 15 hours traveling to the games. In total, you would like to attend at least 8 games.... more
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Linear Equations Math

01/12/21

Write a linear function g with the values g(0)=9 and g(8)=7
Kind of stuck on this problem
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Linear Equations Linear Algebra Algebra

01/12/21

Two perpendicular lines have the same x-intercept. An equation of one line is y=3x+1. Determine the equation of the other line.
(1 mark for identifying correct perpendicular slope, 1 mark for substituting correctly and solving for x-intercept, 1 mark for substituting shared point correctly into equation, 1 mark for finding... more
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Linear Equations Linear Algebra Algebra

01/12/21

Determine the equation of the line that passes through the points (-3, 6) and (1, -4).
(1 mark for finding m, 1 mark for finding b, 1 mark for creating correct equation)
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Linear Equations Linear Algebra Algebra

01/12/21

Determine the equation of the line that is perpendicular to 2x−3y+6=0 and passes through the point (4, -2).
(1 mark for identifying correct perpendicular slope, 1 mark for substituting values correctly into equation, 1 mark for isolating and solving for b, 1 mark for creating correct equation)
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Linear Equations Linear Algebra Algebra

01/12/21

What is the point at the y-intercept on the line 4x−5y+11=0
(0.5 mark for substituting 0 into equation correctly, 1 mark for isolating and solving for correct unknown variable, 0.5 mark for stating point at y-intercept)
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Linear Equations Linear Algebra Algebra

01/12/21

A local fair charges a $15 entry fee and $1.75 per ride. Dustin has $35 to spend. What is the maximum number of rides Dustin can go on?
(1 mark for two correct 'let' statements, 1 mark for creating correct equation, 1 mark for substituting spending amount in for correct variable and isolating for unknown variable, 1 mark for... more
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Linear Equations Linear Algebra Algebra

01/12/21

Determine the equation of a line that has a slope of -3 and passes through the point (-2, 5).
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Linear Equations Math Mathematics

01/08/21

A square and a equilateral triangle have the same perimeter.

The sides of the square are 3 times a number, k. The sides of the triangle are one more than twice the length of k. What are the dimensions of the figures?Pleae answer as soon as possible!
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