### Simplifying Expressions with Some Brackets

Simplify the following expression - 4(2y + w) + 5(4w - 2y)

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Simplify the following expression - 4(2y + w) + 5(4w - 2y)

The Farr-Kroger Classic is a women's professional golf tournament played each year in Ohio. Listed below are the total purse winnings (the amount of money that is distributed to the top golfers) and the prize for the winner for the 15 years from 1987 through 2001. The operators of this golf tournament believe that there is a r

Find the integers that have a product of ac and a sum of b. Don't factor the trinomial. 15t^2 -17t - 4

Factor each trinomial using Trial and Error. See attached file for full problem description.

Using the zero factor property. Solve the equation. 2w(4w+1) = 1

Polynomials with two variables. Factor the polynomial. See attached file for full problem description.

Simplifying Expressions with Negative exponents. See attached file for full problem description.

Product of the sum & difference. Find the product. See attached file for full problem description. (3y^2 + 1) (3y^2 - 1)

Use the foil method to find the product: (5y^3w^2 + 2)(2y^3w^2 + 3z)

Find an expression for x such that: sqrt(2)*sin(x+pi/4)-1-x+(x^2)/2 = -epsilon/6, Where epsilon is very small. Do not need the exact value of x, but an approximation using Taylor expansion.

19. The value of the expression (x + 3)(x - 2) + 2 when x=3 is a) 0 b) 3 c) 5 d) -6 20. The value of the expression (x^2 - 4) for x=2 is a) 0 b) 1 c) 2 d) inf

The solution to the inequality |x| < 0 is a) 0 b) (-inf, 0) c) (-inf, 0] d) NULL

10. The inequality 2x + 3y < 5 has the same solution as that of -6x-9y < -15 a) True b) False 11. The inequalities 2x+3y < 5 and x+1.5y > 2.5 together represent the whole coordinate plane a) True b) False

The function s(t) = ut + 1/2 gt^2 represents the distance traveled s meters in time t seconds when the initial velocity is u m/s and acceleration is g m/s^2. What is the distance traveled in 5 seconds, if the initial velocity is zero and acceleration is 10 m/s^2? a) 1000 m b) 500 m c) 250 m d) 125 m

The compound inequality x > 3 and x > 0 has the solution a) (0, inf) b) (3, inf) c) (0, 3) d) [0, 3]

4. If it takes 4 hours to cover x miles and 5 hours to cover y miles, what is the average speed? a) 9 b) x/4 + y/5 c) (x+y)/9 d) 4/x + 5/y 5. If you can make 100 cups of coffee and 125 cups of tea from a gallon milk, how many gallons of milk would you need to make 20 cups of coffee and 25 cups of tea? a) 0.1 b) 0.2

1. 16m)^2 / (8n)^3 can be simplified as a) (m^2)/(2n^3) b) 2(m^2)/(n^3) c) 2/n d) 2m/24n 2. (14n)^3 / (28n)^2 can be simplified as a) 7n b) 7/n c) 1/(2n) d) none of the above

A yearbook page is to be designed so that there are 24 square inches available for print or pictures with margins of 1.5 inches on the top and bottom, and 1 inch on the left and right sides. Find the minimum total page area that can meet these requirements. (Also state the length and width that gave this result)

See attached file for full problem description. Add/subtract and simplify: 1. 5 -4 ___ + ________ c2d3 7cd2 36. 3x + 2 x - 2 _______ + ______ 3x + 6 x2 - 4 50. 3(x - 2) 5(2x + 1) 3(x + 1) _______ +

See attached file for full problem description. Solve by factoring and using the principle of zero products. Remember to check. 2 30. - 9x + 14 = 0 2 34. x + 16x = 0 2 46. 3x - 7x = 20 2. The length of a rectangle garden is 4m greater than the width. The

Mechanics 3121: Test 1 Problem 1: (24 pts total) Consider a two-dimensional problem in the xy-plane. There are two points in space, labeled as P and Q, as shown in the figure to the right a) (5 pts) Using polar coordinates, sketch on the figure at points P and Q the radial and azimuthal unit vectors. b) (7 pts) Write d

This is probably an algebra question but it is occurring while I am trying to solve a calculus problem. During the solution I was given there is a step that goes from: lnC (-R/V)*t + a e = e to (-R/V)*t a C = e * e How was the right side of the equation arrived

Derive the formula for the entropy of an ideal monoatomic gas using the microcanonical ensemble. This formula is known as the Sackur-Tetrode equation.

Solve for y: |-9y+4|=|3y+3|

See attached file for full problem description.

See attached file for full problem description.

3x(-2)-(1-1^2)^2

Graph, on the number line, all points X for which |x-4| < 2

Graph the solution to the system of inequalities. See attached file for full problem description.

Graph the inequality x ≥ 7