1,975 Answered Questions for the topic linear algebra

Linear Algebra Math Algebra Linear Equations

11/13/18

Solve the following problem by creating a linear equality.

A family wants to buy some special cookies and cupcakes for Thanksgiving, spending no more than $40. The cookies are sold at $1.50 each, and cupcakes for $2.00 each. What is the maximum number of... more
Linear Algebra Distance Speed Time

11/11/18

linear equation distance travelled and fraction

a woman travelled 3/8 of her journey by rail and walked the last 50 km. How far did she travel?
Linear Algebra Linear Equations Distance

11/11/18

Linear equation to calculate distance travelled

a woman travelled half of her journey by rail and walked the last 50 km. How far did she travel?
Linear Algebra

11/01/18

Solving a value mixture problem using a system of linear equations

A family has two cars. The first car has a fuel efficiency of 15 miles per gallon of gas and the second has a fuel efficiency of 30 miles per gallon of gas. During one particular week, the two cars... more
Linear Algebra

10/21/18

Find a linear function​ f(x)= ? f(x) with slope - 8 such that ​f(- 9​)=5

Find a linear function​ f(x) with slope - 8 such that ​f(- 9​)=5F(x)=
Linear Algebra

10/20/18

Algebra (how to solve )

Hello in need helpIn the following question I need to prove that there is no answer to the equation and what is the reason ?(a+81)*x=1I tried to solve thisa+81≠1a≠-81
Linear Algebra

10/20/18

Algebra word problem translation

Translate this sentence about area into a mathematical equation.The area A of a regular pentagon is directly proportional to the square of the length s of its sides.
Linear Algebra Differential Equations

10/19/18

3 Variable System of Equations When All Set to Zero

-5x+4y-2z=0x-2y+z=06x-6y+3z=0,solve for x,y, and z.
Linear Algebra College Algebra

10/15/18

State the domain:

s(x)=sqrt(16−x2)/sqrt(x2−4) where sqrt=square root ()
Linear Algebra College Algebra

10/15/18

Rewrite the equation in the standard form of a circle: (x-h)^2+(y-k)^2=r^2

The equation to rewrite is: 3x^2+3y^2+16x+14y-72=0
Linear Algebra College Algebra

10/15/18

1. Given a circle with center (9, -2) and a point on the circle (10, -10). Note: You must support your answers algebraically.

a. Is there a value y such that the point (-8, y) lies on this circle? Algebraically show there is no point or algebraically prove the point exists and find the point. b. Is there a value x such... more
Linear Algebra

10/14/18

I don’t get this (Parrallel and perpendicular lines)

y=2x-5 and y=2x+5 The question is asking me if the lines are parrallel, perpendicular or neitherhow do I know??
Linear Algebra

10/11/18

Are these two lines paralell, perpendicular or neither

y= -2/9x - 5 and 2x+9y=18pls helpim in algebra 1
Linear Algebra

10/10/18

When 4 is added to the difference between eight times a number and 6 ​, the result is greater than 11 added to 7 times the number. Find all such numbers.

When 4 is added to the difference between eight times a number and 6​, the result is greater than 11 added to 7 times the number. Find all such numbers.
Linear Algebra

10/08/18

How many packages of each style should it prepare to use up existing​ supplies?

A company produces three combinations of mixed vegetables that sell in​ 1-kg packages. Italian style combines 0.4 kg of​ zucchini, 0.4 kg of​ broccoli, and 0.2 kg of carrots. French style combines... more
Linear Algebra

10/08/18

How many acres of soybean and how many acres of corn should be planted to maximize profit?

Rayland's farm grows soybeans and corns on it's 500 acres of land. An acre of soybean brings  $100 profit and an acre of corn brings  $200 profit. Because of the government program, 1200 hours of... more

09/28/18

The # of student tickets sold was equal to 3 times the # of adult tickets sold decreased by 56. Student tickets cost $3.50 and adults $5.

The total receipts were $2005. How many adult tickets were sold? I don't know how to write the equation for this. Pls help me solve this

09/09/18

How do you solve a systems of equations using rref when the system in dependent?

In my case, after I used the rref function on my calculator to solve the equations: x − y + 7z = 3x − y + 8z = 2   It gave the following as a matrix: 1  -1  0  10 0  0  1  -1   I think this... more
Linear Algebra

08/18/18

how do i calculate x from y =mx

i am given x and y coordinates and was asked to draw a scatter plot, and then draw a line of best fit for those plots. i was then asked to calculate a slope using the points from the best fit line.... more

If the midpoint of A and B is (1,3), what might the end points be?

I'm really having trouble with this one! If anyone could help it would be highly appreciated! :) I know about finding one endpoint with the midpoint and the other end point but I can't work this... more

How to determine whether T is linearly independent ? Justify your answer please.

Let S={X1,X2,X3} be a linearly independent set of vectors in R^3. How to determine whether T={2X1 + X2 - 2X3,4X1+ 3X2,3X1 + 2X2 - X3} is linearly independent. Justify your answer please.

07/27/18

Please help me find the matrix X. Justify your answer please.

               2 1 0                   1 0 1Let A = [ 1 0 1 ] and B = [ 2 0 1 ]                0 3 0                  0 1 1 Find the matrix X such that (2X + A)-1 = B.

07/27/18

I want to solve this, i need help. Justify your answer please.

Consider the linear system: x - 2y + 3z = 4 2x - 3y + az = 5 3x - 4y + 5z = b   For which values of a and b does the linear system have a) no solution, b) a unique solution, c) infinitely... more

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