Please use Mathematica to solve the problems below. 1. Given vectors u= (1,5) and v = (-3,7), answer the following. a) re vectors u and v linearly independent or linearly dependent? Support your answer. b) If possible, express w= (2, 10) as a linear combination of u and v 2. Determine if the following vectors are linearly independent or dependent. If linearly dependent, find scalars a, b, and c such that au+bv+cw=0. u = (1, 1,0, 4, 5), v = (5, 1,3,– 2, 1), and w = (0, 1,2, 3, 6)

Q: 2X+4=8X

A: Given,    2X+4=8X   Subtracting both side 2X ;   2X+4-2X=8X-2X   4 = 6X

Q: 4x2 =2x

A: In this question, the solution of the equation is to be determined.

Q: 5x + 9y = 12       4x - 3y = 8

A: Given system of equation 5x+9y=12, 4x-3y=8. Find x and y.

Q: what is x+4=7

A:

Q: 2x2=5x-1

A: The equation is given by,

Q: V24x15y5 3

A:

Q: What is 2a+2=4

A: Note:-  As statement of problem missing,so we are solving this problem for value  of  variable a…

Q: dr a 2 1 +3

A:

Q: 2x×4=6y

A: Given problem

Q: 3x - 4 = 5x + 2

A: we have to solve , 3x-4=5x+2

Q: 10k+1=40 -7k

A:

Q: 2x-14

A:

Q: Show the proper algebraic steps to 2x+4 = 4x. %3D

A: According to the question, we have to solve the algebraic expression 2x+4=4x and find the value of…

Q: 5x-2y=4+3x+4=9

A:

Q: 2x 4x e dx

A:

Q: 9x-4=8x+4

A: Given9x - 4 = 8x + 4

Q: メー1 X+2

A: To find: The solution of inequality x-1x+2>-1. Calculation: Add 1 to both side of the equation:…

Q: 2-2x41=2 メ+

A:

Q: 4x2=-8x-1

A: Given equation is 4x2 = –8x –1.Rewrite the equation as quadratic equation.

Q: why is the one on the left? and why does it go after 2 instead of 3?

A:

Q: Can you answer the questions for 3A-3D

A: By sliding blue circle to the lowest point of parabola we get horizontal tangent line.

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.