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Basic Algebra

Factoring Trinomials

Factor the trinomial: -x^2-3x+10. If the lead coefficient is negative, begin by factoring out -1.

20 algebra problems about quadratic equations

Solve: 1. (4s + 9)^2 = 36 2. f(x) = x^2 + 18x 3. z^2 + 18z + 64 = 0 5. 7n^2 = 10n - 2 6. 5r^2 + 20r = -18 7. -7x^2 - 5x = 9 8. f(x) = 3x^2 - 5x - 1 Find the vertex: 13. f(x) = (x + 6)^2 - 2 Graph: 12. f(x) = -4(x + 7)^2 + 4 15. f(x) = -x^2 + 2x - 7 Find the x and y intercepts: 16. f(x) = 2x^2 + 6x + 1 S

Written Expression for a Circuit an a Simplified Karnaugh Map

2. Write the expression for this circuit: Line A enters an OR Gate, exits, then enters the final AND Gate. Likewise, Line B enters the same OR Gate, exits, and enters the same final AND Gate. Line C goes directly to the final AND Gate. 3. Simplify the following Karnaugh Map: C Bar D Bar C Bar D CD C D

Basic Algebra

Please see the attached file for the fully formatted problems. Find the value of c ( formula ) if p = 220. Find the perimeter of a triangular postage stamp with sides 2.3, 2.6, and 2.1 centimeters long. Choose from the following. Choose "<", "=", or ">" symbol to make a true statement. Evaluate the expression.

Simplifying Expressions

Do the addition: 7a^3 + 8a^2 + 3 + -2a^3 + 9a - 6 4a^3 - 3a^2 + 3a + 6 ___________________________

FOIL

Multiply: (x2 + 5x - 4)(x2 - x + 2)

FOIL

Use FOIL to multiply: (3x - 4)(3x - 5)

Simplifying Expressions

Simplify the expression. Assume a and b are positive real numbers and m and n are rational numbers. See attached file for full problem description.

GCF

Factor out the GCF in the expression -6h^5 t^2 +3h^3 t^6

GCF

Find the GCF 45m^2n^5, 56a^4b^8

Logarithms explained in this solution

10 Problems Please see the attached file for the fully formatted problems. 1. Find the value of x: . Choose the correct answer from the following: 2. Evaluate the expression . 3. Write the equation in logarithmic form. 4. Evaluate the expression log 2 1. 5. Fill in the blank to make a true statement.

20 algebra problems involving square roots

See attached file for full problem description. 1. for g(x) = sqrt(x^2 - 20), find g(5) 2. find the domain of f(x) = sqrt(x) + 6 3. the cost of making clocks is c = 121sqrt(n + 36). what is c when no clocks are made? 4. find the following: sqrt((14y)^2) 5. simplify: y^(4/3)/y^(5/6) 6. graph: f(x) = -sqrt(2 - x)

Abstract Algebra

Determine the degree of the extension. See attached file for full problem description.

Completing the square

1.Solve by completing the square: x2 + 4x + 2 = 0 2. Solve using the square root property: (x + 3)2 = 36 3.Solve by factoring: x2 - 9x = -8

Quadratic Equations

1. 8x^2 - 24x = 9 2. choose from the following a quadratic with solutions of 9 and 3 a. x^2 - 10x + 27 = 0 b. x^2 - 12x + 27 = 0 c. x^2 - 14x + 25 = 0 d. x^2 - 12x + 29 = 0 3. The height h (in feet) of and object is dropped from the height of s fe

Quadratic Formula and Vertex Form

Using the quadratic equation x2 - 4x - 5 = 0, perform the following assignment; Solve by factoring and solve by using the quadratic formula 2) For the function y = x2 - 4x - 5, Put the function in the form y = a(x - h)2 + k.

Logarithmic and Exponential Functions

I need clear solutions to problems d,e, and f on the attached PDF. I also need help with this problem: The number of e-coli present in a given culture after t hours is given by the formula: N=1000e^(.69t) The doubling time is five hours a. What is the continuous growth rate? b. What is the annual growth rate?

Four questions about systems of inequalities

18. match the system of inequalities to a region in the picture x + 2y <= 8 3x - 2y <= 0 22. solve the system of linear inequalities graphically 3x + 4y <= 12 y >= -3 32. solve the system of linear inequalities graphically, find the coordinates of each corner points, and indicate whether the solution region is bo