What is a rational exponent? How are rational exponents related to radicals? Give an example of how an expression with a rational exponent can be rewritten as a radical, using the following as an example: (-25)^13
By 2004 this glacier had melted to only 1 acre. (a) Assume that this glacier melted at a constant rate each year. Find the yearly rate. (b) Use your answer from part (a) to write a linear equation that gives the acreage A of this glacier t years past 1920. The yearly rate of change is ___ acres/year. (type an integer
In regards to the example that I included, can we cancel out the x's? I guess the big question here is how to we identify whether we are dealing with factors or with terms? Answer: When simplifying the rational expression, it is improper to cancel out the x's in general. For instance, (x^2-x)/(x^2+x+1). We cannot cancel x
When simplifying the rational expression, explain why it is improper to cancel out the x's? State a general rule for canceling factors in a rational expression and give an example of how this rule would be used. Use the following: 3a^2+5ab-2b^2/3a^2+8ab-3b^2.
When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process? Give an example use the following to explain. p/p^2-3p+2+4/p-1
When is it necessary to find the least common denominator (LCD) of two rational expressions? Describe, in your own words, the process for finding the LCD of two rational expressions. How is factoring related to this process? Give an example. use the following. 4x-5/x-4+1-3x/4-x
A2. Inverse Function The correct inverse for the function f(x)=2x is not x/2. A3. Domain and Range Please revise the domain and range for the function and its inverse after identifying the correct inverse for the function f(x)=2x. A4. Graph A graph for the functions f(x)=2x and f-1=x/2 has been provided but the corre
In 1990, the life expectancy of females was 78.8 years. In 1997, it was 79.5 years. Let E(t) represent the life expectancy, and let t represent the number of years since 1990. a) Find a linear function that fits the data: ________________________________________ b) Use the function to predict the life expectancy of female
A projectile is fired with an initial velocity of 230 feet per second at an angle of 45 degrees with the horizontal. The parametric equations describing its motions are x = 115 - SQR(2)*t y = 115- SQR(2)*t-16t². Find the time when the projectile hits the ground, and the range of the projective (the horizontal distanc
1. Anthony leaving Kingston at 2:00pm and drives to Queensville, 160 mi distant, at 45mi/h. At 2:15pm Helen leaves Queensville and drives to Kingston at 40mi/h. At what time do they pass each other? 2. The hypotenuse of a right triangle has a length of 20cm. The sum of the lengths of the other two sides is 28cm. Find the
What is a binomial factor? In your own words, describe the process of factoring by grouping. Explain how the distributive property is used in this process. Give a detailed example of this process. Example: 15xy-9yz+20xz-12z^2
Imagine that every single person in your contact list (268) has the same number of people in their contact list (268) 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. How do I write this as an exponential?
Discuss how the expressions "quote to cash" and "procure to pay" relate to enterprise contract management.
If the nine letters A, S, S, E, M, B, L, E, D are arranged in a row such that the two letters S, S, are together and the other vowels A, E, E, are separated by one or more letters, how many different such arrangements are possible?
Like terms are terms that are equal, which may be grouped together using the distributive property. Here are some examples: 2*3 + 2*5 = 2*(3+5) = 2*8 = 16. (Here the like terms are 2.) 3*4 + 6*4 = (3+6)*4 = 9*4 = 36. (Here the like terms are 4.) x*y + x*z = x*(y+z). (Here the like terms are x.)
Use the earthquake magnitude scale to answer the question. 1.) how much energy, in joules, is released by an earthquake of magnitude 5? A) 7.9 x 10(13) joules B) 2.5 x 10(9)joules C) 7.9 x 10(11)joules D) 7.6 x 10(11)joules 2.) how much energy, in joules, is released by an earthquake of magnitude 3.4? A) 7.9 x 10(13)
What are the steps for simplifying radicals? Can either step be deleted? If you could add a step that might make simplifying radicals easier or easier to understand, what step would you add?
1. Two of the top-grossing concert tours were by a jazz and a rock band. Together the two tours visited 185 cities. The jazz band visited 99 cities more than the rock band. How many cities did the jazz band visit? how many cities did the rock band visit? 2. A baseball team has home games on Friday and Saturday. The two games
An inequality is a statement that is of one of the four forms: 1) ax+b<0; 2) ax+b<=0; 3) ax+b>0 and 4) ax+b>=0. To solve a linear inequality such as "ax+b<0", we need to find all values of x so that ax+b<0 holds. Explain how the solution to the inequality 2x-5<25 differs from the solution to the equation 2x-
I would be grateful for the help of someone used to algebraic manipulations to explain how to go from one equation to another. Please see attachment.
Imagine your younger relative, of middle school age, was taking an algebra course and asked for your help, how would you teach the multiplication of polynomials to him/her?
1. What quantity of a 60% acid solution must be mixed with a 30% solution to produce 300 mL of a 50% solution? 2. A pot contains 6L of brine at a concentration of 120g/L. How much of the water should be boiled off to increase the concentration to 200 g/L? 3. A merchant blends tea that sells for $3.00 a pound with tea tha
Suppose $1000000.00 will be recieved after 25 years. Find the value 5 years from now (t=5), V(5), assuming continuous compounding at the rate r(t) = 0.05 + t/1000 if t<=10 and 0.06 t >10. I know the answer is 304982.77, but can not get it to work out. Please show all of your work.
Solve and graph the inequality -8 < x + 3 < 6 What is the solution set? Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The solution set is ________
How would you explain to a seventh grader the difference between the domains of an odd root radical function and an even root radical function? How would you change your explanation for someone who had taken high school algebra?
What law of radicals allows you to treat radical expressions as exponential expressions? How would you explain this to someone else and how would you explain adding like radicals? Include an example with your explanation. Use the following notation for square root: sqrt(3).
Please explain in details the steps to solve the problem below: Find the equation in standard form of the straight line that passes through the point midway between (-7, -12) and (-5, 2) and has a slope of 3.
What is the best method for solving absolute value inequalities? The first most important part about solving absolute value inequalities is to understand that there are two types of inequalities. These are |ax+b|<c and |ax+b|>c. These inequalities have totally different solutions. This is because of the difference between the t
What are the similarities and differences between the procedures needed to solve each of the following problems? Show your work and include a verbal breakdown of each step. 2/x + 5/6 and 2/x + 5/6 =2
Choose three integers a, b, and c? Feel free to choose negative numbers. Use a, b, and c to create a trinomial ax2 + bx + c. Can you factor this trinomial? How would you create a trinomial that will factor?