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Basic Algebra

Simplifying Expressions

Perform the indicated operation - please show all steps: 46. (w^2 - 2w + 1) + (2w - 5 + w^2) 60. (t^2 - 6t + 7) - (5t^2 - 3t - 2)

Checker Tiles

I'm working ahead of my daughter. They are working on checker tiles and out of the 20 packets I'm down to the last 3 that are giving me problems. They are situation tiles and it has been sorta like using algebra to figure them out. I want to help her out and know that she is getting them correct but I'm unable to answer them

Trigonometric Equations

Use factoring, the quadratic formula, or identities to solve the following equations: 25 sin x cos x-5 sin x +20 cos x = 4 cos^2 x + 5 cos x=1 cos 2x + sin x =1

Sets and Functions

Topology Sets and Functions (IV) The Algebra of Sets If { Ai } and { Bj } are two classes of sets such that { Ai } is subset of { Bj }, show that Ui Ai is subset Uj Bj and ∩j Bj is subset of

Prove

Prove log10(cot x) = -log10(tan x)

Situation Tiles

I'm trying to help my daughter working a packet of situation tiles. Out of 15 packets, I'm down to 3 where I'm struggling to figure out the problems. They are situation tiles and it has been sorta like using algebra to figure them out. I want to help her out and know that she is getting them correct but I'm unable to answer t

Lagrange Multipliers

Using Lagrange multipliers, find the maximum and minimum values of f(x,y) = x^2*y subject to the x^2 + y^2 = 1 constraint.

Perfect One-Factorization

Construct a perfect one-factorization of K_2n for infinitely many values of n. Prove the factorizations are perfect!

Algebra Problem Set: Inequalities, Absolute Value

66. Young's rule for determining the amount of a medicine dosage for a child is given by C = where a is the child's age and ad is the usual adult dosage, in milligrams. The dosage of a medication for a 5 year old child must stay between 50mg and 100 mg. Find the equivalent adult dosage. 52. 2|2x - 7| + 11 = 25

Radical expressions

See attached file for full problem description. 1. After an accident, how do police determine the speed at which the car had been traveling? The formula r = 2 sqrt(5L) can be used to approximate the speed r, in miles per hour, of a car that has left a skid mark of length L, in feet. How far will a car skid at 65mph? at 100

Algebra questions: solving equations, simplifying, graphing, etc.

Algebra Questions. See attached file for full problem description. 1. Solve 15x = 2x2 + 16 2. The width is 7 feet less than the length; the area is 18 square feet. Find the length and width. 3. Solve x2 + 4x - 12 < 0 4. Solve (x + 3)/(x - 4) < 0 5. Find f(-13) for f(x) = third root of (2x - 1) 6. Rewrite (third roo

Algebra

1) Find the coordinates of the vertex for the parabola defined by the given quadratic function. f(x)=-2x(squared) + 8X - 1 2) An equation of a quadratic function is given -- f(x)= -2X(squared - 12X + 3 - Determine without graphing, whether the function has a minimum value or a maximum value. - Find the minimum or max

quadratic equation and inequality

1) What is the meaning and purpose of the axis of a quadratic function? 2) Solve the inequalities. State the solution set using interval notation for: (x - 4) / (x + 3) < 0 and then for: (x - 4) / (x + 3) > 0 What do you get when uniting the two sets of solutions? 3) The surface area A, of a cylinder with heigh

Solving equations

Find all real and imaginary solutions Find exact and approximate solutions: Find two positive real numbers that differ by 4 and have a product of 4. See attached file for full problem description.

Algebra questions: quadratic equations, word problems

See attached file for full problem description. 4. a) Solve 36x2 + 49 = 0 b) Find the x-intercept of f(x) = 36x2 + 49 6. Solve 3x2 - 7 = 0 16. Solve (t - 2)2 = 25 56. Use the hang-time function V(T) = 48T2, relating vertical leap to hang time. Tracy McGrady, of the Houston Rockets, has a vertical leap of 40

Simplifying Expressions

10. (-x - 5)(-x + 5) <----- Simplify 14. [3x2(2x - 3) + 27x3(2x - 3)] / [3x(3 - 2x)] <--------- Simplify 17. (3x2 + 7)(9 - 8x) = 3x2 - 56x + 63 <-------- Describe the mistakes if any 19. See picture <---------- describe the mistakes if any

Primitive Irreducible Polynomial

2 Let f(x) be a primitive irreducible polynomial of degree n over . Then each element Of can be expressed in the form with . Identify with the bit string which is the binary representation of , that is where each is 0 or 1. Let be the bit string identified with . Describe a simple procedure for obtaining f

Quadratic Equations and Functions

20. The hypotenuse of a right triangle is 22m long. The length of one leg is 0m less than the other. Find the lengths of the legs. 26. A turbo-jet flies 50 mph faster than a super-prop plane. If a turbo-jet goes 2000 mi in 3 hr less time than it takes the super-prop to go 2800 mi, find the speed of each plane Quadrati

Graphing inequalities

Graph {x/ x >/ -3} upside down U {x / x >/ 0}. The symbol beside the x should be a straight line, and the less than sign should have a bar under it. I did not know how to key these symbols.

Algebra problems

Simplify the expressions:( 54b4 x4 1/3) ( ___________), (6ax4)2 (2x)-2, 5y 4b 16bx2 ___ + ____ axy2 b

Distance Between Points and Midpoint

Find the distance between each pair of points. If necessary round answers to two decimal places. (2 square root of 3, square root 6) and (- square root of 3, 5 square root of 6) ___________________ Find the midpoint of each line segment with the given endpoints. (-4, -7) and (1, -3)

Basic Algebra : Graphing

3) x -2 -1 0 1 2 y .25 .5 1 2 4 Given the table above, graph the function, identify the graph of the function (line, parabola, hyperbola, or exponential), explain your choice, and give the domain and range as shown in the graph, and also the domain and range of the entire function. Graph Graph Type Explanation D