See attachment, thank you very much. Simplify each expression 1. 2x3 . 3x2 (x3 = X raised to the power 3, x2 = X raised to the power 2). 2. (2x2 y)4 3. 18x4 divided by 3x or 18x4 ----------- 3x 4. x-9 = 5. 9x
Factor completely (see attached) Factor Completely a. b. c. d. (11x-6y) (11x + 6y ) Simplify a. b. c. d. Multiply a. b. c. d. Solve this system of equations. 7x - 5y = 1
Please assist with attached math problems. 1 Write this number in expanded form a. 247,089 b. What digit tells the number of thousands c. What digit tell the number of ten thousands 2 Write this number in words $8,886 3 Name the property of addition and explain your choice. a. 3+(0 + 6) = (3 + 0) + 6 b. 0 + a
Undergraduate senior level Real Analysis. Please show me formal math proofs. Show that Q(set of rational numbers) ~ N(set of natural numbers). (Suggestion from my professor: prove by letting set Qn < Q and a/b (a and b are some integers, but b is not zero) and Q = union of Qn (Qn = Q1, Q2, Q3, ....) .)
Formal Math Proofs Prove that each of the following sets is countable: a) The set of all numbers with two distinct decimal expansions (like 0.500... and 0.4999...); b) The set of all rational points in the plane (i.e., points with rational coordinates); c) The set of all rational intervals (i.e., intervals with ratio
Marriage penalty eliminated. The value of the expression 4220 + 0.25(x - 30,650)is the 2006 federal income tax for a single taxpayer with taxable income of x dollars, where x is over $30,650 but not over $74,200. a) Simplify the expression. b) Find the amount of tax for a single taxpayer with taxable income of $40,000. c) W
Consider the sets A0 := {0, 1, 4}, B0 := {0, 2, 8}. Consider the sets Ai := A0 + i := {i, i + 1, i + 4} ,and Bi := B0 + i := {i, i + 2, i + 8}, for i = 1, 2, . . . , 12. All addition here is performed modulo 13. Consider the bipartite graph G whose vertices are the sets A := {Ai : 0 <= i <= 12} and B := {Bi : 0 <= i <= 12} (so
Advance Products, Inc. has just organized a new division to manufacture and sell specially designed tables using select hardwoods for personal computers. The divisions monthly costs are shown the schedule below: Manufacturing costs: Variable costs per unit: Direct materials $86 Variable manufacturing
See file (14x^3 -43x^2 -56x -15) divided by (7x+3)
I am attaching the problem Add the radicals... Multiply Add the radicals Multiply
Solve the following questions involving fundamental operations on polynomials a. Find p(x) + 4q(x) p(x)=4x^4 + 55x^3 - 23x^2 + 13 q(x)=43x^4+ 14x^2 -12 b. Find P(-1/2) if P(x) = 2x^4 + x^3 + 12 c. Simplify: (-4 + x^2 + 2x^3) - (-6 - x + 3x^3) - (-6y^3 + y^2) d. Add: (2x^2 + 6y^2 + 4z^2 + 3xy + yz + zx) + (4x^2 + 3y^
If A and B are subsets of a set X, define their symmetric difference by A+B = (A-B) union (B-A) (i). Prove that A + A= empty set (ii) Prove that A + empty set= A (iii) Prove that A + (B+C) = (A+ B) + C (iv) Prove that A intersection (B+C) = (A intersection B)+(A intersection C)
1a. If X and Y are infinite sets with the same number of elements, show that the following conditions are equivelent for a function f: X-->Y: (i). f is injective (ii). f is bijective (iii) f is surjective 1b. Suppose there are 11 pigeons sitting in some pigeonhole. If there are only 10 pigeonholes prove that there is a h
Write 98 as a product of prime factors
Please help me write 100 as a product of prime factors. Thank you for the help!
Please write the number 84 as a product of its prime factors.
Perform the following division: (9x^3 - 19x + 8)/(-3x +4). Write your answer in the form Q(x) + (R(x))/(-3x + 4), where Q(x) is the quotient and R(x) is the remainder of the division.
See attachment Perform the following division: (6x^3 - 13x^2 + 11x + 10) / (3x - 5) Write your answer in the form Q(x) + R(x)/(3x -5) , where Q(x) is the quotient and R(x) is the remainder of the division.
Using formula 1/f = 1/o + 1/i Find the image distance i for an object that is 2,000,000 mm from a 250-mm telephoto lens
Chapter 0 (Preliminaries) Q.) How would you prove the converse? A partition of a set S defines on equivalence relation on S. Hint: Define a relation as X - Y if X and Y are elements of the same subset of the partition. 10.) Let n be fixed positive integer greater than 1. If a mod n = a' and b mod n = b' .Prove that (a
See attached. 1. Evaluate the expression. Assume 2. Evaluate when y = -2 3. Evaluate when 4. Express the following using a positive exponent. Then simplify the expression . Write using a positive exponent do not evaluate 5. Express using a positive exponent = 6. Multiply and simplify =
An overview of the theory and results on tessellations of three types of Riemann surfaces: the Euclidean plane, the sphere and the hyperbolic plane. Roughly speaking, a tessellation of a space is a pattern which, repeated infinitely many times, fills the space without overlaps or gaps . From a mathematical point of view, tesse
Do you think that there are ways to use the calculator to build student's understanding of important math concepts?
Explain why the polynomial H(x) = x^5 + x^4 + x^3 + x^2 + 1 is irreducible over the integers.
Directions: List all numbers from the given set B that are members of the given Real Number subset. Please explain. B=[ 19, square root 8, -5, 0, 0.7 as a repeating decimal, square root of 9] Integers B= [ 17, square root of 5, -2, 0,0.7 as a repeating decimal, square root 16,] Whole numbers B= [ 6,square root v8, -1
1. List the first seven prime numbers of our standard number system (0, 1, 2, 4, 4, etc...) 2. List all the factors for the number 72 3. Which of the numbers 21, 88, 126 and 255 are divisible by 7.
Please help me with the following question: Multiply (x + 1/3)^2.
1. Explain how synthetic division may be used to find the factors/zeros of a polynomial function. Give an example of how this is accomplished. Use synthetic division to find the function value. 1) f(x) = 2x4 + 4x3 + 2x2 + 3x + 8; find f(-2). Write the quadratic function in the form y = a(x - h)2 + k. 2) y = x2 - 2x - 9
Any help would be appreciated. Please see the attached file.
To explore the versatility of rational functions, choose a second-order/third-order (e.g., x2/x3) and a third-order/second-order (e.g., x3/x2) rational function. Provide a graph for the second-order rational function (e.g., x2), choosing x values in the range from -10 through +10. Then, provide at least three variations of th