The company sells lawnmowers for $895 each. The variable cost per lawnmower is $520. The company's monthly fixed costs are $84,500. Using the C-V-P equation, compute the amount of profit the company will have for a month in which the company sells 375 lawnmowers.
1. Determine the automorphisms of the extension Q 2^(1/4) / Q^(1/2) explicitly.
I am trying to factor the polynomial f(x) = 2x^3 - 5x^2 - 4x + 3. I think it is (x-3)(x+1)(x- 1/2). Am I right? (See work below.) Once I factor f(x), how do I use that to find the answers to the following questions? a) f(x) = 0 b) f(x+2) = 0 c) f(2x) = 0 This is the work that I used to factor f(x):
Give an example using either completing the square or the quadratic formula and explain each step as if you were teaching someone who had never used the method before.
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.
Solve using the quadratic formula: x2 - 5x - 3 = -7 Radicands must be enclosed within [ ].
1. Solve by factoring: Radicands must be enclosed within [ ]. x2 - 9x = -8
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
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
Multiply:show all factoring (√ + 2√)(6√ - √)
Perform the indicated operations: Show all factoring 3√ + 7√ -√
3. Simplify:Show all factoring √[81x^8 y^12 z^20]
2. Divide: x^2 - 9x + 20/ 6x -4 ÷ x^2 - 25/2x +10
Simplify the rational expression: Show all factoring x^2 - 6x + 8/ x^2 - 4
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.
Factor Polynominal if possible 2x^2 - 6x
Factor the trinomial: -x^2-3x+10. If the lead coefficient is negative, begin by factoring out -1.
1. logb a = log a / log b , where log = log base 10 Use this formula to fing log2 10000.
2x^2 - 18y^2
Factor completely: x^3 - 2x^2 - 4x -8
1. Factor completely: x^7 * y^2 - 4x^ 5 * y^2 - 21x^ 3 * y^2
Solve: 1. (4s + 9)^2 = 36 2. f(x) = x^2 + 18x 3. z^2 + 18z + 64 = 0 5. 7n^2 = 10n - 2 6. 5r^2 + 20r = -18 7. -7x^2 - 5x = 9 8. f(x) = 3x^2 - 5x - 1 Find the vertex: 13. f(x) = (x + 6)^2 - 2 Graph: 12. f(x) = -4(x + 7)^2 + 4 15. f(x) = -x^2 + 2x - 7 Find the x and y intercepts: 16. f(x) = 2x^2 + 6x + 1 S