1,375 Answered Questions for the topic Linear Equations

Linear Equations Word Problem

02/12/21

How do I find the dimensions of the triangle if the perimeter is 26cm and what does x represent as?

The sides of a triangle are 2x + 1, 3x - 4 and x + 5. Find the dimensions of the triangle if the perimeter of the triangle is 26cm.
Linear Equations Linear Algebra

02/10/21

linear question

 A company finds that there is a linear relationship between the amount of money that it spends on advertising and the number of units it sells. If it spends no money on advertising it sells 250... more
Linear Equations Math Linear Algebra

02/10/21

Please I really need help with this question and if you do answer please add the steps :)

Write a system of linear inequalities so the points (1, 2) and (4, −3) are solutions of the system, but the point (−2, 8) is not a solution of the system.
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
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
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
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
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)
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
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)

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

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

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
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

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
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.

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
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
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
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
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
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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