Algebra Word Problem Dimensions
A rectangle is five feet longer than it is wide and it's area is 36 square feet, find it's dimensions.
A rectangle is five feet longer than it is wide and it's area is 36 square feet, find it's dimensions.
A stunt man fell a distance of 369 feet into an airbag. The distance (d) in feet traveled by a freefalling object in (t) seconds is given by the formula d=16t^2. To the nearest tenth of a second, how long did the stuntman's fall last?
Write the equation x(x-7)+12=0 in quadratic form and then solve it by factoring.
Using the index of a series as the domain and the value of the series as the range, is a series a function? Include the following in your answer: Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic series? Which one of the basic functions (linear, quadratic, rat
1) An open-top box is to be constructed from a 4 foot by 6 foot rectangular cardboard by cutting out equal squares at each corner and folding up the flaps. Let x denote the length of each side of the square to be cut out. a) Find the function V that represents the volume of the box in terms of x. Answer: b) Graph this
(1) Suppose a baseball is shot up from the ground straight up with an initial velocity of 32 feet per second. A function can be created by expressing distance above the ground, s, as a function of time, t. This function is s = -16t2 + v0t + s0 ?16 represents ½g, the gravitational pull due to gravity (measured in feet per seco
X/5 - 3 = 17
Solve using the quadratic formula: x2 - 5x - 3 = -7 Radicands must be enclosed within [ ].
2. Solve using the square root property: Radicands must be enclosed within [ ]. 2x2 - 5 = 45
1. Solve by factoring: Radicands must be enclosed within [ ]. x2 - 9x = -8.
Radical and rational exponent notation are two ways to show the same process. Explain the similarities between radicals and rational exponent notation. Provide at least two other examples of mathematical notation or wording denoting the same process.
Let p(n) be the statement that: 1^3 + 2^3 + ... + n^3 = (n (n + 1) /2)^2 for the positive integer n. a) What is the statement P(1)? b) Show that P(1) is true, completing the basis step of the proof. c) What is the inductive hypothesis? d) What do you need to prove in the inductive step? e) Complete the inductive
1. Sketch the graphs of y=5x and y=-5x+2-1 on the same set of axes. Identify the following properties of each graph: a) the domains b) the ranges c) any asymptotes d) the y-intercepts 2. The population of the U.S. doubles approximately every 100 years. In 1980 the population of the U.S. was 200 million. Find the projec
Find the polynomial f(x) of degree three that has zeroes at 1, 2, and 4 such that f(0) = -16. a. f (x) = x3 − 7x2 +14x −16 b . f (x) = 2x3 −14x 2 + 28x −16 c . f (x) = 2x3 −14x 2 +14x −16 d . f (x) = 2x3 + 7x2 +14x +16 Find the third degree polynomial whose graph is shown in the figure
What are the similarities between dividing two fractions and dividing two rational expressions?
Algebra Exercises. See attached file for full problem description. 1. Evaluate , if possible. 2. Determine whether is rational or irrational. A) Rational B) Irrational 3. Simplify. A) 54 B) C) D) 4. Simplify. Assume all variables represents positive numbers. A) B) C) D)
Sam wrote a best-selling novel. His publisher gives him 5% commission on the sales of his novel sold. He received a check for 5,000 U.S. A. How many novels were sold? B. What were the total sales on the novel?
It is approximately 300 miles from Chicago, Illinois, to St. Louis, Missouri. allowing for various traffic conditions, a driver can average approximately 60 miles per hour. a) How far have you traveled after 3 hours? b) How far have you traveled after 4 hours? c) How far have you traveled after 1 hour? ie. write a line
Simplify the expression by rationalizing the denominator ______ √ 10/2
5___ 5__ Simplify and combine like radicals 4√3y - 7√3y . All variables represent positive numbers.
Simplify the cube root: 3 _________ √8a^27 b^24
Fay Ling is not going to pass her second semester math class unless she can supply the missing addends and sums in the following grid. Please help her by filling in the missing information (please see attached).
Simplify the cube root 3√1000
Multiply: Show all factoring. (√[3] + 2√5])(6√[3] - √[5])
Perform the indicated operations: Show all factoring 3√[48] + 7√[12] -√[75]
3. Simplify:Show all factoring √[81x^8 y^12 z^20]
Simplify the rational expression: Show all factoring x^2 - 6x + 8/ x^2 - 4
Using the index of a sequence as the domain and the value of the sequence as the range, is a sequence a function? Which one of the basic functions (linear, quadratic, rational, or exponential) is related to the arithmetic sequence? Which one of the basic functions (linear, quadratic, rational, or exponential) is related
Fit a polynomial of optimal degree to these points: s 1.1 1.6 11.4 4.1 5.3 17.5 9.4 11.5 12.1 f(x) 7.9 24.8 -28.8 42.6 29.6 -34.6 -3.1 -28.7 -39.6 Use "polyfit" function using MATLAB. See the attached file.
Factor Polynominal if possible 2x^2 - 6x