Pg. 317 Factor out the GCF in the equation: #66. 15x^2 y^2 - 9xy^2 + 6x^2 y Pg. 324. Use grouping to factor the polynomial completely: # 78. x^3 + ax + 3a + 3x^2 Pg. 332. Area of a sail. A triangular sail has an area of x^2 + 5x +6 square meters and a height of x + 3 meters. Find the length of the sail's base. Area
(1) Create a set of data that can be modeled as a polynomial function. Please provide a reference to the data. Plot the data using Microsoft Excel including the equation for the fit. Discuss how closely the data seem to match to the best fit line. (2) Do the same for data that can be modeled using a rational function. Includ
Please see the attached file for the complete list of problems (25 in all) 1. Find the greatest common factor for the following sets of terms. 12a^3b^2 , 18a ^2b^3, 6a^4b^4 2. Factor the following polynomial. 4s + 6st - 14st ^4 3. Find the GCF of (6y^2 - 3y)(y + 7) 4. Geometry: The area of a rectangle of length x is give
1) Evaluate 6*5+2-24 divided by4*2 2) Given f(x)=3x+3, find f(a+1) 3) Use your calculator to evaluate the following expression if x=9.69, and y= -8.02 x-5y Round your answer to the nearest tenth 4) A bus leaves a station at 1P.M., traveling west at an average rate of 44 mi/h. At 2P.M. on the same day a second bus leav
Express the following product of powers of as a single power of : Simplify the following: . Simplify: Without using negative exponents Write in scientific notation Simplify the following: (-3y^2+3y-3)-(8y^2+2y+8)+(y^2-5y) Write the product below in simplest form without paren
Express the following compound fraction in lowest terms.
Solve the following quadratic equations by factoring and name the techniques used Example : completing the square, quadratic formula, square root method, factoring. See attached file for full problem description.
What type of Algebra problems covered in an Algebra 1 course do you find to be the most challenging? Why? What did you learn from the experience of an Algebra 1 course and how did you overcome this challenge? If you could provide some tips or advice to new Algebra 1 students, what would you share with them?
Show all steps. Explain each step as much as you can. Find the prime factorization for each integer. #6. 200 Find the greatest common factor for each group. #10. 6a2b, 9ab2, 15a2b2 Complete the factorization of each binomial. #14. a2 - a = - a( ) Factor each polynomial by factoring out the GCF. #20. 2a2 -
These data represent the number of students attending a high school. Year Number of Students 1985 212 1986 295 1987 352 1988 401 1989 473 1990 519 1991 602 (a) Draw a line graph for the
Write a system of inequalities representing this situation. Then draw a graph of the feasible region given these conditions, in which x is the number of AM radios and y is the number of AM/FM radios. The equations for this system are: AM Radios: AM/FM Radios: Plant's Capacity: A small firm produces both AM and AM/FM car r
Graph the inequality 8 x + 7y < -32
Please see the attached file for the fully formatted problems. Write 54 as a product of prime factors. Evaluate the six expressions below. Write each response as an integer or as a fraction. (-8)^2 (-2)^4 (1/5)^3 4^2/5 (-1/2)^2 -6^2 Evaluate. Evaluate the expression when and
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadrati
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadrati
Write the following expression in simplified radical form. Assume that all variables represent positive real numbers. Rewrite the following without an exponent: Write without parentheses: Solve where is a real number. Simplify your answer as much as possible.
Simplify the attached expression as much as possible.
How to get from Eq(1) to Eq (2)? See attached file for full problem description.
Solve the following equation for x by using the quadratic formula: (with and without decimal points) 5x^2 + 9x + 1 =0
1. Reduce if possible: (p^2 + 5p + 6)/(p^2 + 2p - 3) 2. Multiply: (x^2 - 3x + 2)/(x^2 - 4x + 4) times (x^2 + x - 6)/(x^2 - 1) 3. For what values of p is #1 undefined? 4. For what values of x is #2 undefined? 5. Find the LCD of the following: 1/(x + 2) and 1/(x^2 + 2x). 6. Find the LCD of the following: 1/(x^2 +
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadra
The chapter in question is about Iteration.(x2 means x squared). It talks about the Fixed point rule. It describes a fixed opint equation as x2 + 1/8 = x; that is x2 - x + 1/8 = 0 It then gives another example: Determine the fixed points of the function f(x) = -1/8x2 + 11/8x + 1/2 and states that the fixed point equation
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
Practice skills- 16 Problems Each correct answer is worth 6-1/4 points 1. Write in simplest form. A) -2r3s2t B) C) D) 2. Write in simplest form. A) B) C) 4a4b D) 3. Multiply. A) B) C) D) 4. Multiply. A) B) C) -n2 +
Practice exercise 5.1 Solve and check each of the following equations for x. ..... 6. Number problem. If one-half of one integer is subtracted from three-fifths of the next consecutive integer, the difference is 3. What are the two integers? 18. Science and medicine. A passenger train can travel 325 mi in the same time a fre
While the radical symbol is widely used, converting to rational exponents has advantages. Explain an advantage of rational exponents over the radical sign. Include in your answer an example of an equation easier to solve as a rational exponent rather then a radical sign.
The equation for the distance of the room is: d=20+5t and the equation for the distance of Peter is d=vt =10t Such that setting the two equations together we see that at t=4 seconds, the distance that Peter travelled is the same as the distance of the room 40ft. However, here he only drops of one paper and he must go back
1. Decide whether each of the following is a quadratic equation or not. a. 3 - X^2 = 9x b. X^3 - 8 = 0 c. 2X^2 - 7X + 1 d. -5 - X^2 + 8X = 0 e. 6 + 5X - X^2 2. Find f(-3) if f(x) = -2x^3-8x^2+2x-1 3. Do the math and express without negative exponents: x^(-7) * x^3 4. Do the math and express without negative expon
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
Which of the following functions is an even function? Please see the attached file for the fully formatted problems.