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Basic Algebra

Graph and Solve the System of Inequality

See the attached file. CheckPoint 11) Bayside Insurance offers two health plans. Under plan A, Giselle would have to pay the first $190, plus 40% of the rest. Under plan B, Giselle would pay the first $220, but only 30% of the rest. For what amount of medical bills will plan B save Giselle money? Assume she has over $220 in

Find the Solution for Equations

See the attached file. 1) Solve algebraically and check your potential solutions: a) sqrt(t+12)-t=0 b) 3/(x-3)=x/(x-3)-3/2 ? Answer Show your work here: What potential solution did you obtain? Explain why this is not a solution. Answer: 2) a) If y=sqrt(x)-1, fill in the following table for x = 0, 1, 2, 3, 4. Round t

Unit 2 Individual Project 2D

1a) Solve the following quadratic equation by factoring: Answers: Show work here: 1b) Solve the following quadratic equation by using the quadratic formula: Read the information in the assignment list to learn more about how to type math symbols, such as the square root. Answers: Show work here: 1c) Compute the discrimin

Inequalities-Creating a shape with a coordinate plane closed figure

Creating a Shape: You will create a colored in, closed figure on a coordinate plane and then state the inequalities that allow you to create the figure. You may use the link and directions below to help you create your shape or you may use any paint program, power point, or graph the figure by hand, scan, and attach. For h

Multiple algebra questions

1. Traffic signs are regulated by the Manual on Uniform Traffic Control Devices (MUTCD). The perimeter of some traffic signs must be 68 Inches. Also, its length is 6 inches longer than its width. Find the dimensions of this sign. The width of the sign is? The Length of the sign is? 2. A hardw

Properties of Affine Groups over Finite Fields

Let F be a field. The 1-dimensional affine group over F is the set A of all functions f: F -> F of the form f(x) = ax+b where a, b belong to F and a is a unit. Let S and T be subsets of A consisting of the scaling (s(x)=ax) and translations (t(x) = x+b) Are S and T normal subgroups? If p > 3 and F = Z/p consider the subgro

State Review for Elementary Algebra

5. How many feet of fencing should be purchased for a rectangular garden that is 17 ft. long and 16 ft. wide? A) 272 ft. B) 132 ft. C) 66 ft. D) 33 ft. 7. Write 0.000097717 in scientific notation. A) B) C) D) 9. Write 130% as a fraction in simplified form. A) B) C)

Logarithm and Scientific Notation

1. Imagine that every single person in your contact list has the same number of people in their contact list as you. Write this total number of all the contacts in all the phones (ignore the fact that some may repeat) as an exponential. Next, evaluate this exponential. 2. Express the value you calculated in the first problem

Logarithms and Exponents

Exercises 1. Solve the following problems with exponents a. 25 b. 3-3 c. 115 d. 02 e. 223/4 2. Solve the following problems with roots a. (sqrt)169 b. (sqrt)50 c. 3(sqrt)82 (Cube Root of 82) 3. Write the following

Rational Equations, Pythagorean Theorem and Quadratic Equations

1. Explain the five-steps for solving rational equations. Can any of these steps be eliminated? Can the order of these steps be changed? Would you add any steps to make it easier, or to make it easier to understand? Provide an example with your explanation. 2. How might the Pythagorean theorem and distance formula be used in

You are considering the purchase of a computer

You are considering the purchase of a computer and have consulted several computer magazines that contain ratings and prices for the five models you are investigating. You decide to include price, speed, and expansion capabilities as three criteria on which you will judge the models under consideration. The ratings, with 10 bein

What is the greatest common factor?

1. What is the greatest common factor? How do you know when you have found the greatest one? Provide an example and a detailed explanation. 2. Explain how to factor the following trinomials forms: x2 + bx + c and ax2 + bx + c. Is there more than one way to factor this? Use an example in your explanation. Show your answer usin

Apply the quadratic formula

For questions 1-2, apply the quadratic formula to find the roots of the given function, and then graph the function. For questions 3-4, factor the quadratic expression completely, and find the roots of the expression. For question 5, complete the square, and find the roots of the quadratic equation. In questions 6-1

Factor the following expression completely

1. Factor the following expression completely 36x3 - 16x 2. Andrew factored the expression 28x^3-6x^2-10x as 2x(14x^3-3x^2-5x). But when Melissa applied the distributive law and multiplied out 2x(14x^3-3x^2-5x), she got 28x^4-6x^3-10x^2 ; thus, Andrew's solution does not appear to check. Why is that? Please help Andrew to

Perimeter Algebra and Quadratic Equations

1.) A gardener wants to create a triangular garden in the shape of a right triangle with shortest side length x - 2y ft. and the middle length side x + 4y ft. What is an algebraic expression for the area of the garden? Be sure to multiply this out and express in simplest correct mathematical form, including units. 2.) Find th

Equation for Electricity Bill in One Month

A household electricity bill for one month in which 2,494 kWh (kilowatt per hour) were used includes, among other charges, a distribution charge. The bill reads: Current Charges Charges for - UTILITIES Residential Rate: RS for Jun 9 - Jul 12 Distribution Charge: Customer Charge

Math Problems

1. Sketch a graph of the following equations a. b. y = |x| + 2 c. 2. Find the equation (in the form ) of a line through points (1, 7) and (-3,2) 3. The relationship between air temperature T (in ?F) and altitude h (in feet above seal level) is approximately linear up to an altitude of 20,000 feet. If th

Algebra Solutions: Solve using the Addition Principle

1. Solve using the addition principle. m - 3 = 5 A) 2 B) -2 C) 8 D) -8 2. Solve using the addition principle. s + 5 = 8 A) -3 B) 13 C) 3 D) -13 3. Solve using the addition principle. x - = 0 A) - 9 B) 9 C) D) - 4. Solve using the addition principle. 8 = z + 3 A) -11 B) 11 C) 5 D) -5

Proving or Disproving Claims

Please see the attached file for the complete problem description. Note: a) and b) are independent; for each of them it should be separately decided if that combination is an ideal and for the first point of the question all ideals are in Z[sqrt(-5)].

Solving and graphing Quadratic equations

Some homework practice I would like your assistance to prepare for exam. 1. Y^2-6y+9=8 ( exact solutions to three decimal places) Y=_______ 2. Solve 7x+x(x-4) = 0 the solution is x = _________ Find the x intercepts of f(x) = 7x+x(x-4) the x intercepts are _____ 3. F(x) = -1/2x^2 The vertex is _______

Algebra problem

Problem: John and his son are hauling Christmas trees to market. The market is 420 miles from the tree farm. John's truck averages 32 MPH and leaves at 8 am. Owen's truck averages 46 MPH and leaves at 9 am. At what time will the two trucks be in the same location?

Break-even analysis: A look at profit and loss

I recently opened a specialty pizza business. I can sell my specialty pizzas for $15. The cost for making the pizzas includes a fixed cost of $55. And a labor cost of $4.00 per pizza. 1. Create an equation to determine revenue. 2. Create an equation to determine total cost. 3. How many pizzas must be sold to break even (i.e.,

Monetary question

1. Nick is one-forth his grandfatherâ??s age. Five years ago, he was one-fifth his grandfatherâ??s age. How old are Nick and his Grandfather now? 2. Eloise bought new clothes for school. In the first store, she spent half the money she had, plus $10. In the second store, she spent half of what was left, plus $5. In th

Real - World Math Algebra: solving equations and problems

In general, the area of a rectangular shape is found by multiplying the length of the area by the width of the area. This can be represented by the formula area = length x width or A = L x W. If you were to measure the length and width in feet, then the result of this equation will be in square feet (ft^2). The resulting number

Monthly car payments on a loan.

So you're buying a car.You know that interest today is low. But you found a place where you can earn 1% interest per month. You invest $1000 on the 1st of each month. By the end of the month, that $1000 is now $1010. You keep doing this for 4 months, then take that money to use on a down payment for a car that is $22,323 (incl t