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# Basic Algebra

### Algebra Problems - 1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project. [See the attached questions file.]

1. You are planning to spend no less than \$6,000 and no more than \$10,000 on your landscaping project. a) Write an inequality that demonstrates how much money you will be willing to spend on the project. b) Suppose you want to cover the backyard with decorative rock and plant some trees as the first phase of the project. You

### Algebraic exercises Related to exponents and radicals

Please refer to attached file for complete description of problems. Short description of problems is given below 1) Converting Exponents into radicals and vice versa. 2) Simplification of radicals in fraction forms 3) Converting the expressions into exponents with no negative exponents 4) Factorize the expressions

### Difference Between Simplification & Evaluation of Expression

1. What is the difference between evaluation and simplification of an expression? Explain with examples.

### Exponential growth function - Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following: ...

Human populations can be modeled using an exponential growth function. Use the Library for research or other resources to find the following: current world population current U.S. population current growth rate of the world population current growth rate of the U.S. population Starting in the current year, determine th

### Algebra - Graphing Equations and Quadrants

1. Plot (5,6) on the coordinate axes. ... 2. In which quadrants are the signs of the first and second coordinate the same? ... 3. find the coordinates of the point shown on the graph. ... 4. Graph the equation and identify the y-intercept. ... [See the attached questions file.]

### Depreciation schedule examined

Make a depreciation schedule. 1. A \$1,200 postage printing system depreciated using the straight-line method over 4 years. In your depreciation schedule, give the following information for each year: the year's depreciation, the accumulated depreciation, and the year's end-of-book value. 2. Office furniture for a set of

### The level of a prescription drug in the human body over time

Concept Exercise 5 Problem: The level of a prescription drug in the human body over time can be found using the formula L = D 1-( ) Where D is the amount taken every n hours and H is the drugs half-life in hours. 1) If 2.5 milligrams of Lorazepam with a half-life of 14 hours is taken every 24 hours then to wha

### Exponential and logarithmic functions

Many different kinds of data can be modeled using exponential and logarithmic functions. For example, exponential functions have been used by Thomas Malthus to describe the growth of human populations. Exponential growth has also been used to indicate how property values grow in strong real estate markets. For this Discussion

### Exponential functions

Please see attached: 1. Do exponential functions only model phenomena that grow, or can they also model phenomena that decay? Explain what is different in the form of the function in each case. 2. True or false: The function "f(x) = 3x" grows three times faster than the function "g(x) = x". Explain. 3. What are the

### Explain three rules for exponents - 1. Explain three rules for exponents listed in the chart on page 239. Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression to solve that uses scientific notation and at least one of the rules for exponents you have described. ... [See the attached questions file.]

1. Explain three rules for exponents listed in the chart on page 239. Do not explain the first two definitions listed in the table (Exponent of 1 or 0). Create an expression to solve that uses scientific notation and at least one of the rules for exponents you have described. 2. How is dividing a polynomial by a binomial simi

### Algebra - College Mathematics

Look what stress does. I submitted the wrong problems to you for help. Please help me with the following 18 problems - I submitted the incorrect problems. #17) 2x + 3 -------- x^2 - 16 #33) w^2 - 49 --------- w + 7 #77) 2x^12 ------- 4x^3 #87) -2x - 4 ----------- x^2 - 5

### Algebra - Polynomials - Practice Problems

1. Simplify the following. (-3x2y-3)3 (x-3y2) 2. Simplify the following. 2x4 - 2x2 + 4x - x4 + 4x2 - 2x + 5 3. Find the following product. ( 3x - 4 ) ( x2 - 2x + 3 ) 4. Find the following product. ( 0.3x + 0.2 ) ( 0.3x - 0.2 ) 5. The speed o

### Algebra: simplifying exponents and radical expressions

(see attached file for full description) Simplifying the folllowing expressions 3. (sqrt(x^3) + 3x)^2 5. The sixth term in the expansion of (2x - y)^8 is 6. Factor completely: x^4 - 3x^3 + 8x - 24 10. Rationalize the denominator: (x - 2)/(x - sqrt(x + 2)) 11. solve for x: (3x + 4)/2 = 1 - x/3 12. solve for x(x - 3)

### Equations - 1. Solve. Then graph x+7>2 The solution set is Which of the following is the graph of the solution? -7 -6 -5 -4 -3 -7 -6 -5 -4 -3 -7 -6 -5 -4 -3 -7 -6 -5 -4 -3 ... [See the attached questions file.]

1. Solve. Then graph x+7>2 The solution set is Which of the following is the graph of the solution? -7 -6 -5 -4 -3 -7 -6 -5 -4 -3 -7 -6 -5 -4 -3

### Discussing Common Factors: Example Problems

1. How do you determine the common factor in an expression? Please give some concrete examples. 2. What is a common factor? Where do you use the common factor in an expression consisting of various terms? give examples

### Average cost per unit

Need assistance in solving equation; If the average cost per unit C(x) to produced x units is gievn by: 900 C(x)= ----- x+30 What do 600 units costs? round to round to the nearest cent.. \$857.14 \$899.95 \$180.00 \$18,000.00

### Polygons

Find the area of the shaded region. Answer to the nearest tenth. Picture a square. The arcs have their centers at opposite vertices of the square and that is the region that is shaded . The base says 4 yds.

### Practical application of quadratic equations

Show your work: 1. A rectangular garden has dimensions of 18 feet by 13 feet. A gravel path of uniform width is to be built around the garden. How wide can the path be if there is enough gravel for 516 square feet? 2. A business invests \$10,000 in a savings account for two years. At the beginning of the second year, an

### Solutions of Quadratic Equations and Their Applications

1. Determine whether the following equations have a solution or not? Justify your answer. a) x^2+6x-7=0 b) z^2+z+1=0 c) (3)^1/2y^2-4y-7(3)^1/2=0 d) 2x^2-10x+25=0 e) 2x^2-6x+5=0 f) s^2-4s+4=0 g) 5/6x^2-7x-6/5=0 h) 7a^2+8a+2=0 2. If x=1 and x=-8, then form a quadratic equation. 3. What type of solution do

### Algebra expressions: Total of 56 questions on Algebra

See attached for formatting 1. use the intercepts to graph the equation. Please use a graph like the attached x+3y=6 2. Determine the slope of the line shown below.m=? 3. Solve then graph. 6x&#8805;30 Choose the correct solution a. {xlx&#8805;5} b. {xlx>5} c. {xlx<5} d. {xlx&#8804;5} also grap

### The solution to Algebra - Equations

Part 1: Using the Library, web resources, and/or other materials, find a record-breaking temperature (in degrees Celsius) for a town or city in a country other than the United States. Include the name of the town and country along with the temperature, and what record was broken. Give the formula for converting degrees Celsius t

### Determine Number of Solutions to a Quadratic Equation

1. How many solutions exist for a quadratic equation? How do we determine whether the solutions are real or complex? 2. Translate the following into a quadratic equation, and solve it, showing your work: The length of a rectangular garden is three tiems its width; if the area of the garden is 75 square meters, what are

### Graphing and solving Quadratic Equations

Step by step solution is provided to all the problems.

### Height function - If an object is propelled upward from ground level, its height in meters after t seconds is given by h=-9.8t^2+88.2t During what interval of time will the rocket be height than 176.4m.

If an object is propelled upward from ground level, its height in meters after t seconds is given by h=-9.8t^2+88.2t During what interval of time will the rocket be height than 176.4m.

### Algebra - Practice Problems and Solutions for Equations

See the attached file. 2. Simplify. Type an integer or a fraction 3. Divide if possible. Type N if the answer is undefined. 4. Simplify. - 5. College students took different course loads. Many colleges determine the number of Full-time equivalent students, F, by using the formula F=n/15. Where is the tota

### Economics - Starting a Business - 1. You have recently found a location for your bakery and have begun implementing the first phases of your business plan. Your budget consists of an \$80,000 loan from your family and a \$38,250 small business loan. These loans must be repaid in full within 10 years. ...

Starting a Business Starting your own business can be exciting and daunting at the same time. Businesses use math when managing finances, determining production levels, designing products and packaging, and monitoring labor. A bakery can be a highly profitable and rewarding business. Initial Budget

### Practice Problems and Solving the Solutions of Equations

Determine whether 28 is a solution of the Is 28 a solution? equation x - 15 = 11. ! ----Yes ----No Determine whether 3 is a solution of the equation Is 3 a solution 7x=7=30 ----Yes

### Algebra - 1. A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d=rt mi. How far will a driver travel at a speed of 59 mph for 8 hr? The distance travelled is ___mi. ... [See the attached Questions File.]

1. A driver who drives at a speed of r mph for t hr will travel a distance d mi given by d=rt mi. How far will a driver travel at a speed of 59 mph for 8 hr? The distance travelled is ___mi. 2. Translate to an algebraic expression. 5 less than q The translation is ____ 3. Tra

### Need help solving inequalities

X^2-1.01x-83.19< 0, round to the nearest tenth.. 1. (-00,-8.63) (9.64, 00) 2. (9.64, -8.63) 3. (-00, -9.64) (8.63, 00) 4. (-9.64, 8.63)

### Algebra - Word Problem Equation

Set up the equation needed to solve the problem. 1. A rectangular garden has dimensions of 25 feet by 19 feet . A gravel path of equal width is to be built around the garden. How wide can the path be if there is enough gravel for 672 square feet? 2. The area of a square is 81 square centimeters . If the same amount is add