### Simplifying Expressions

Write each expression in the form quotient + remainder / divisor 2x^2 + 4 / 2x

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Write each expression in the form quotient + remainder / divisor 2x^2 + 4 / 2x

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)

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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

Use Block diagram algebra. See attached file for full problem description.

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

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

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.

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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

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. 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

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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

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

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.

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

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

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

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

Algebra Questions. See attached file for full problem description.

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.

Express the polynomial: (x2-xy) (2x+6y), (_____) 2x Factor the polynomial: x2-5, x2-7x+6, 3x2+4x+1 Evaluate: l-30lxl 1 1 __ -__ l 5 3 Simplify the

Prove that X^n-1+X^n-2+........+X+1 is irreducible over Z iff n is prime.

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

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)

Solve the system: 2x ≡ 1 (mod 3) 3x ≡ 2 (mod 5) 5x ≡ 3 (mod 2)

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

Polynomial Explanation. See attached file for full problem description.