College Algebra
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College Algebra
Circled problems on attachment: rate of change
Algebra - Truth Table
Choose the correct conclusion and why. Choose the one alternate that best completes the statement or answers the question. 1. As a special promotion, the Green Thumb organic foods chain said that everyone who came to one of their stores between noon and 1pm on January 4 would be offered a free loaf of 23-grain bread. They di
graph the inequality between hip and waist sizes
A study concluded that waist to hip ratios are a better predictor of 5-year survival than more traditional height-to-weight ratios. The study concluded that for good health the waist size f a woman aged 50-69 should be less than or equal to 80% of her hip size, w<_ 0.80h. Make a graph showing possible waist and hip sizes for goo
solving inequality to find the range of IQ score
Jude's IQ score is more than 15 points away from Sherry's. f Sherry scored 110, then in what range is Judes score?
solving compound inequality
The number of senior citizens (65 and older) in the US in millions n years after 1990 can be estimated using the formula s=0.38n+31.2 The percentage of senior citizens living below the poverty level n years after 1990 can be estimated using the formula p= -0.25n+12.2 a) How many senior citizens were there in 2000?
Factoring - How do I factor x^2-81?
How do I factor x^2-81?
Revenue - 1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how ...
1. In this problem, we will analyze the profit found for sales of decorative tiles. A demand equation (sometimes called a demand curve) shows how much money people would pay for a product depending on how much of that product is available on the open market. Often, the demand equation is found empirically (through experiment, or
Graphs, Equations, inequalities and Algebraic operations. Twenty problems in all.
1. Find the domain of the function. 8 G(x)= _____ 4 - 3X Choose the correct domain below. (a) {x | x does no equal 43} (b) (b) {x | x does not equal 8} (c) {x | x does not equal 0} (d) {x | x >_ 4/3} (>-_) means grater than or equal to *
Review examples 2, 3, and 4 in section 8.4 of the text - Blending Flower Seeds. Tara's website, Garden Edibles, specializes in the sale of herbs and flowers for colorful meals and garnishes. Tara ...
Review examples 2, 3, and 4 in section 8.4 of the text. How does the author determine what the first equation should be? What about the second equation? How are these examples similar? How are they different? Find a problem in the text that is similar to examples 2, 3, and 4. EXAMPLE 2 Blending Flower Seeds. Tara's website
Algebra Multi-Step Word Problem
Problem: In 1960 the United States generated 87.1 million tons of municipal solid waste and recovered (recycled) only 4.3% of it. The amount of municipal solid waste generated in the United States can be modeled by the formula w=3.14n + 87.1 while the amount recovered can be modeled by the formula w=0.567n + 3.78 where w is in m
Integer operations, basic algebra problems
See attached for formatting: 1. Which of the following numbers are integers? 2. Place the following set of numbers in ascending order. A) B) C) D) 3. Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 h? A) $158.10 B) $173.60 C) $
Algebra - Order of Operation
1. What are the steps of the order of operations? 2. Why is it important that you follow the steps rather than solve the problem from left to right? 3. Write an expression for your classmates to simplify usingat least three of the following Groupings (parenthesis, brackets, or braces) Exponents Multiplication or divisi
Adjusting Antifreeze through Algebra
Adjusting Antifreeze. Angela needs 20 quarts of 50% antifreeze solution in her radiator. She plans to obtain this by mixing some pure antifreeze with an appropriate amount of a 40% antifreeze solution. How many quarts of each should she use? Building a ski ramp. Write an inequality in the variable x for the degree measure
Algebra equations - 1. Determine whether the graphs of the two lines are parallel Y+1=6x; 3x-y= -1 ... [See the attached Question File.]
1. Determine whether the graphs of the two lines are parallel Y+1=6x 3x-y= -1 2.Find an equation of the line having the given slope and containing the given point express your answer in the form x=a, y=b, or y=mx+b m=-4 (2,0) 3.Find an equation of the line containing the given pair of points (1,5) (3,6) 4.Graph
Two Laws of Exponents and its example
Reference section 10.2 attached. -Describe two laws of exponents and provide an example illustrating each law. Explain how to simplify each expression. -Explain how the laws work with rational exponents. -Provide a third expression to simplify that includes rational (fractional) exponents.
Solving Quadratic Equations by Stated Methods
Solve the given quadratic equations by the method stated. [See the attached Questions File.]
Algebra - Numbers and Integers
1 Which of the following numbers are integers? 3,2/3 -3,101.1, -5/7 2.Place the following set of numbers in ascending order. -2/5,1/6,7/8,-5/9,3/4 3.Carlos works 8.25 h and receives $102.30 pay. What will he receive at the same rate if he works if he works 14 h? 4.Evaluate |-14]- 5.Subtract 7/9-(-1
The solution to algebra equations
1. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. x+y=10 x-y=4 2. solve the system of equations by graphing. Then classify the system as consistent or inconsistent and the equations as dependent or independent. 2x-y=19 2x+3
Algebra - Compound Statements
Convert the symbolic compound statement into words. a. p represents the statement " It's raining in Chicago." q represents the statement " It's windy in Boston." Translate the following compound statement into words. p v q b.p represents the statement " It's Monday." q represents the statement" It's raining toda
Algebra Practice Problems
Determine whether the sentence is statement. Please justify. a. Does she always act like that in public/ b. 7+8 =16 c. Pick up a paper on the way home. d. No professional hockey player has ever gone on to become a news announcer. e. This test is too hard. Form the negation of the statement. f. Today is June 11. g.O
Algebra - Truth Statements
Please tell whether the statement is true or false. Please justify answers. 1. (11, 9) = (9,11) 2. (2-12,7-9) = (-10, -2) 3.(10 + 13, 2 + 13) = (10,2) Find the cartesian product 4. A= {0} B={11, 21, 31} Find B x A Find the indicated cardinal number. Show work. 5. Find n (G), given that n (D x G)=20 and D ={7,
Solving Inequalites - Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lbs mixture. ...
6. Soybean meal is 12% protein, cornmeal is 6% protein. How many pounds of each should be mixed together in order to get 240lbs mixture. How many pounds of the cornmeal should be in the mixture? ____Pounds How many pounds of soybean meal should be in the mixture? _____Pounds 16. The perimeter of a rectangle is 15
Calculus Problem Set - Graph the function. Describe briefly in words the interesting features of the graph including the location of critical points and where the function is increasing/decreasing. Then use derivative and algebra to explain the shape of the graph. ... [See the attached Question File.]
#1 Graph the function. Describe briefly in words the interesting features of the graph including the location of critical points and where the function is increasing/decreasing. Then use derivative and algebra to explain the shape of the graph. f(x) = x3 - 6x +1 The graph is increasing crossing the x-axis at about x=-2.
Circus Games - Quadratic Equations
A circus clown at the top of a 60-foot platform is playing catch with another clown on the ground. The clown on the platform drops a ball at the same time as the one on the ground tosses a ball upward at 80 ft/sec. For what length of time is the distance between the balls less than or equal to 10 feet? Hint: the initial velocity
Solving Basic Algebra Word Problem
Solve the problem using algebra. 1 Find the Celsius temperature(to the nearest degree when Fahrenheit temperature is 9 degrees by solving the equation 59= 9/5 C +32, where F is the Fahrenheit temperature (in degrees and C is the Celsius temperature. 2. A square plywood platform has a perimeter which is 7 times the length of
How can you tell what are the solutions of a quadratic equation by looking at its graph?
How can you tell what are the solutions of a quadratic equation by looking at its graph? Explain.
Real Numbers re-check
Math real number system 1. Place the following set of numbers in ascending order. -2/5,1/6,7/8 -5/9,3/4 2. Which of the following numbers are integers? 11/3,9.7,-163,-3/8,1 3. Determine the maximum and minimum values of the following set of numbers. 36/7,-1,-2/3,-5,26/9 4. Evaluate [-14]
Solution to Polynomial Equations
-2(x-b)-(5a-x) = a+b 3x-2(a-3) = 4x-6-a 2/3a+1 = 2 3/4t = 1/2.
Algebra - Equivalent Expression
1) Find an equivalent expression using the distributive law. ... 2) Find the distance on the number line between -12 and -10. ... 3) Simplify using the laws of exponents. ... 4) Evaluate the expression using the order of operations. ... ... [See the attached question file].