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Basic Algebra

Algebra and Logic Word Problems

5. The sign says you are leaving Missoula, Butte is 120 mi away, and Bozeman is 200 mi away. There is a rest stop halfway between Butte and Bozeman. How far is the rest stop from Missoula? 13. Suppose you could spend $10 every minute, night and day. How much could you spend in a year? (Assume there are 365 days in a year

Quadratic Equations: Solve the following problems and provide detail steps. For Project #1, complete all 6 steps (a-f) as shown in the example. For Project #2, please select at least 5 numbers; 0 (zero), 2 even and 2 odd. Make sure you organize your paper into separate projects.

Project # 1 An interesting method for solving quadratic equations came from India. The steps are (a) Move the constant term to the right side of the equation. (b) Multiply each term in the equation by four times the coefficient of the X square term. (c) Square the coefficient of the original X term and add it to

Numbers on the first page of each volume is 1281

A large novel is divided into a three volume set. The pages of the novel are numbered consecutively, beginning with page 1 of volume 1 to the last page of volume 3 (in other words, if the last page of volume 1 is 324, then the first page of volume 2 is 325). There are an equal number of pages in each volume. If the sum of the nu

Evaluate the Limit using Algebraic Manipulation

Assume x -> infinity has all the properties of limits, using algebraic manipulation evaluate the limit lim x -> infinity f(x)= x^4 + 3x / x^4 + 2x5 x^... means to the power of Please show work. Please no power points.

Several problems on quadratic equations

1. Solve by completing the square. x2 - 2x - 63 = 0 A) -9, 7 B) 9, 7 C) -9, -7 D) 9, -7 2. Solve. x2 - 75 = 0 3. Solve by using the quadratic formula. 3x2 = 11x + 4 A) B) C) D) 4. The height h in feet of an object after t seconds is given by the function h = -16t2 + 30t + 8.

Mass of methane that would be emitted from a piece of ground

Explain working "lack of units and inappropriate precision" Please present an alternative version which demonstrates the use of mathematical skills Mass of methane held within container = 0.00734kg Internal volume of the container = 0.011 m3 0.00734 -------- 0.011 = 0.667272727 ????? When permafrost melts it r

Mathematics - Algebra Word Problems

Prob 1: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? Prob 2: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 i

Word problems- help!

Prob 1: Debbie traveled by boat 5 miles upstream to fish in her favorite spot. Because of the 4-mph current, it took her 20 minutes longer to get there than to return. How fast will her boat go in still water? Prob 2: Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 i

Radical expressions-word problems

Problem 1: Find the radius of a spherical tank that has a volume of 32pie /3 cubic meters. Problem 2: An investment of $10k is worth $24,780 in 2006. Find the 5 year average annual return. Problem 3: The width of a rectangular gate is 2 meters larger than it's height. The diagonal brace measures Sqrt of 6m... find the wi

Solving Quadratic Equations: Imaginary Solutions

80. w2__225 = -15 and +15 86. 3v2 + 4v -1 = 0 96. = x + 3 7x + 29 = (x + 3)² = x² + 6x + 9. x² - x - 20 = 0. - 20 = - 5?4, (x- 5)(x + 4) = 0 x = 5 and - 4 . 10 . x2 +4x +3=0 14. -8q2 - 2q + 1 = 0 30. -3x2 - 2x - 5 =0 42. 9m2 + 16 = 24m 48. -3x2 + 7x = 0 64. x2 + x + -2 = 0 70. b4

Making x the subject of the equation.

Making x the subject of the equation. These are two examples, one specific, and one more general, where you are given y as a function of x, and we want to find what x is in terms of y, so we want to make x the subject of the equation. Algebraic operations are used and details shown to solve this question. Question 1: If y=(3

Mathematics - Growth and Decay Problems

Growth and decay problems: 1. GRIDDED ANSWER. A new laptop computer cost $2000. The value of the computer decreases overtime. The value V(in dollars) of the computer after t years is given by the function V=2000(0.82) raise to t. What is the decay rate, written as a decimal, of the value of the computer? 2. OPEN-ENDED. T

Several Algebra problems

Please help me solve these problems 1. Solve. Then graph 9x>27 Choose the correct solution a. {x|x|>3} b. {x|x|<3} c. {x|x|&#8804;3} d. {x|x|&#8805;3} 2. Find the indicated outputs for f(x) =4x2 - 4x F (0) = F (-1) = F (2) = 3. Solve by the elimination method. 3x+4y=1 6x+8y=2 4. Solve the following system of eq

Word problem on rational expression

Barn Painting Problem: Melanie can paint a certain barn by herself in x days. Her helper Melissa can paint the same barn by herself in 2x days. Write a rational expression for the fraction of the barn that they complete in one day by working together. Evaluate the expression for x =5.

Solving Inequalities and Graphing Equations - Landscape Design - Landscape designers often use coordinate geometry and algebra as they help their clients ... [See attachment for Complete description]

Landscape Design Landscape designers often use coordinate geometry and algebra as they help their clients. In many regions, landscape design is a growing field. With the increasing popularity of do-it-yourself television shows, however, many homeowners are becoming amateur landscape artists. Suppose you are a homeowner ge

Step-wise answer to Inequalities

1. Why does the inequality sign change when both sides are multiplied or divided by a negative number? Does this happen with equations? Why or why not? Write an inequality to be solved with the answer. In your inequality, use both the multiplication and addition properties of inequalities. 2. How do you know if a value is

Solving Equations using Matlab and Newton Raphson

1) Solve {exp(-x)}(1 + x^2) - 0.165=0 a) by use bracket root (h=3) from x_0=0, then use false position b) by use Newton-Raphson from x_0=1 and x_0 =0 and x_0=3 2) Solve 0.002x^5 - x^2=120 (it is known that the root is greater than 6.0) a) bracket the root from x_0=6.0 with h=4.0 b) then continue with one use of the

9.1 108 (See attached file for complete description)

9.1 108 9.2 128. Radius of a sphere. The radius of a sphere........ 132. Top bond fund. An investment of $10,000 in the....... 9.3 114. Area of a triangle. Find the exact area of a triangle..... . 9.5 115. Kepler's third law. According to Kepler's third law of.......... 116. Orbit of Venus. If the averag

Real life expressions

We encounter rational expressions all the time in the real world, often without even realizing it. Now it's your turn to come up with a real-world example from your work or personal life of using an equation with a rational expression to solve a real-world problem. Please give the example, setup the problem, th

Injective, surjective, and bijective compositions.

Let f: X--->Y and g: Y--->Z be functions. i. If both f and g are injective prove that g o f is injective. ii. If both f and g are surjective prove that g o f is surjective iii. If both f and g are bijective prove that g o f is bijective iv. If g o f is bijection, prove that f is an injection and g is a surjection.

Equations with Rational Expressions in the Real World

We encounter rational expressions all the time in the real world, often without even realizing it. Now it's your turn to come up with a real-world example from your work or personal life of using an equation with a rational expression to solve a real-world problem. Please give the example, setup the problem, then solve it,

Mathematics - Algebraic Expressions

Question #41 / 50 Solve for ....... where is a real number. (If there is more than one solution, separate them with commas.) Question #42 / 50 Solve the following equation....... Question #43 / 50 For the following right triangle, find....... Question #44 / 50 Compute the following....... Question #4

Solving Proportion Simplified Radical Forms

Question #31 / 50 Solve the following proportion..... Round your answer to the nearest tenth. Question #32 / 50 On the blueprint of a house, millimeters represents meters. The length of the...... Question #33 / 50 Rewrite the following in simplified radical form....... Question #34 / 50 Simplify.......

Several algebra problems

Question #21 / 50 Factor: . Question #22 / 50 Factor: Question #23 / 50 Factor: . Question #24 / 50 Multiply. Write your answer in lowest terms. Question #25 / 50 Express the following compound fraction in lowest terms: Question #26 / 50 Subtract. Write your an