Other Math Answers

5.Find the center and radius of the circle x^2+y^2+8x+6y=0
a.(âˆ′4,âˆ′3),r=5
b.(4,âˆ′3),r=5
c.(âˆ′4,3),r=5
d.None of the option

6.Find the equation of the line through the point (âˆ′1,2)which is parallel to y = 3x + 1
a.y=3x−5
b.y=−3x+5
c.y=−3x−5
d.y = 3x + 5

5.Find the equation of line that passes through the points: A(2,3) and B(4,6)
a.2y=3x
b.−3x+2y=−2
c.3x+2y=−2
d.(3x+2y=6)

6.The equation of a straight line at point (-2,3) and slope 3 is given by
a.y=5x-3
b.y=3(x+3)
c.y=3(x-3)
d.y=3x-5

7.What is the common difference in the sequence3,5,7,9,11,⋯
a.-2
b.2
c.3
d.-3

⎛1 2 3⎞
8.Calculate the determinant of the matrix A= ⎜ 4 5 0⎟
⎝2 1 4⎠
a.

⎛ 20 −16 −6 ⎞
A= ⎜−5 −2 3 ⎟
⎝−13 12 −41 ⎠

b.
⎛ 20 −16 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−13 12 −3 ⎠

c.
⎛ 20 −16 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−15 12 −3 ⎠

d.
⎛ 20 −12 −6 ⎞
A = ⎜−5 −2 3 ⎟
⎝−13 12 −41 ⎠

Lisa said that 42/100 was the same as .42% as well as .42. Explain the error Lisa made. Explain how to draw a model to demonstrate your thinking. What is the correct percent and decimal for 42/100?

Find the solution of the difference equation y_(k+2)-4y_(k+1)+4y_k=0;k=0,1,2,...
Also find a particular solution when y_0=1 and y_1=6.

A company produces three products, 1 P2 P , and P , from three raw materials A, B 3
and C. One unit of product P1 requires one unit of A, 3 unit of B and 2 units of C. A
unit of product P2 requires two units each of A and B and 3 units of C, while one
unit of P needs 2 units of A, 6 units of B and 3 4 units of C. The company has a daily
availability of 8 units of A, 12 units of B and 12 units of C. It is further known that
the profit per unit is ` 3, 2 and 5 for 1 P2 P , and P , respectively. How many units of 3
product P1 , product P2 and product P should the company manufacture to 3
maximize the profit? Formulate this problem as a Linear programming problem.

1.(p∧q)=(q∨p) and (p∨q)=(q∨p)
implies an _____
a.Associative laws
b.Distributive Laws
c.Commutative Laws
d.Idempotent Laws

2.____is equivalent to (p∨q)
a.(p↔q)
b.(∼p∧q)
c.(∼∼q)
d.∼(∼p∧∼q)

3.The_____ of a matrix is the inter- changing of its row with the column
a.diagonal matrix
b.zero matrix
c.transpose matrix
d.identity matrix

4.A matrix that has elements only on its diagonal is called
a.transpose matrix
b.diagonal matrix
c.identity matrix
d.zero matrix

5.given that A= ⎛1 2 3⎞
⎝4 5 6⎠ and


⎛1 2⎞
B= ⎜3 4⎟
⎝5 6⎠



. Find AB

a.⎛ 0 12 17⎞
⎜ 7 10 31⎟
⎝20 40 45⎠


b.⎛ 0 12 17⎞
⎜ 19 26 31⎟
⎝ 20 40 45⎠

c.⎛ 0 12 17⎞
⎜ 19 26 31⎟
⎝ 29 40 51⎠

d.⎛ 5 12 15⎞
⎜ 19 26 31⎟
⎝ 29 40 51⎠

For a1,......,an € R, a1<a2<....<an, show that
{n/(a1-a0)}+{(n-1)/(a2-a1)}+.......+ {1/(an- an-1)} >= summation of k=1 to n (k^2/ ak).

Solve the cost-minimising assignment problem whose cost matrix is given below:
Machines
M_1 M_2 M_3 M_4
J_1 10 12 9 11
Jobs J_2 5 10 7 8
J_3 12 14 13 11
J_4 8 15 11 9

Solve the following LPP by the two-phase simplex method:
Maximise Z=x_1+2x_2+3x_3
Subject to
x_1+2x_2+3x_3=15
2x_1+x_2+5x_3=20
x_1+2x_2+x_3+x_4=10
x_1,x_2,x_3,x_4≥0