Jemma and Gareth are playing a board game on a 7 X 7 square grid. They take turns to place a black counter in an empty square on the grid. The winner is the person who completes a line of three counters. * * * * * In this game, Win
1. If f(x)=2x-3 and g(x)=x2+1, find each of the following: a) f(g(2)) b) g(f(3)) 2. Let f(x)=x2+2 and g(x)=square root of 1-x2. a) Find the domain and range of f and g. b) Are the functions of f g and g f defined? 3. Given F(x)=cubed root of x+5, find functions f and g such that F=f g. Explain the answer.
See attached file for full problem description. 1. Write each intervals in absolute value notation. a) xE(0,9) The midpoint of the interval (0+9)/2. Since 9-4.5=4.5, each point in the interval is 4.5 units or less from the number 4.5. Thus the interval can be described as: I x-4.5I less than or equal to 4.5. b) xE(-
A. How many integers are there between 5 and 14? B. How Many rational numbers are there between 5 and 14? C. One eighth of the square root of 7 less than a number is 2. What is the number? D. x varies directly as the square of s and inversely as t. How does x change when s is doubled? When both s and t are doubled?
1. Convert 0.58 to a fraction and write your answer in lowest terms. 2. Evaluate. | 16 | - | -11 | A) -27 B) -5 C) 5 D) 27 3. Simplify: -(-(-27)). 4. Determine the maximum and minimum values for the following set. 5, -50, 30, 20, -18, -6 5. Express 76% as a fraction. 6. Subtract. 14.318 - 10
1. Find the solution sets for the following: |5x - 7| > 12 2. Find the equation of the line satisfying the following: The line with x-intercept 7 and y-intercept -5. 3. Graph the functions L(x) = -3x + 17 and Q(x) = 2x2 + 7x - 22 on the same set of axes. 4. Determine the x-intercepts of g(x) = x2 - x - 20 5. De
1. Divide, then write the result as a division statement. a) (x3-3x2+5x-4)/(x-2) X not equal to 2 ___________ x-2)x3-3x2+5x-4 x3-2x2 -x2+5x -x2+2x 3x-4 3x b) (x3-3x-2)/(x+3) 2. Use the Remainder Theorem to determine the remainders ( do not divide). a) (x3-7x2+2x-4)/(x+2)
The attached is a tables where you have to figure out the missing numbers. For the table, you can only use 0-9 numbers once (not including the given numbers). See attached file for full problem description. keywords: checker-tiles
Solve the quadratic equations in questions 1 - 5 by factoring. 1. x2 - 49 = 0 2. 3x3 - 12x = 0 3. 12x2 + 14x + 12 = 18 4. -x3 + 22x2 - 121x = 0 5. x2 - 4x = 5 In questions 6 - 10, solve the quadratic equation by graphing. 11. Write a quadratic equation that will have solutions of x = 3 and x = -7. 12. Write a quadr
See attached file for full problem description. prove that
Please discuss the following equation: Determine the domain and range of y = -2x + 1. Show all work that is required.
Thomas is going to make an open-top box by cutting equal squares from the four corners of an 11 inch by 14 inch sheet of cardboard and folding up the sides. If the area of the base is to be 80 square inches, then what size square should be cut from each corner?
A company uses the formula C(x) = 0.02x^2 - 3.4x + 150 to model the unit cost in dollars for producing x stabilizer bars. For what number of bars is the unit cost at its minimum? What is the unit cost at that level of production?
The total profit (in dollars) for sales of x rowing machines is given by P(x) = -0.2x^2 + 300x - 200. What is the profit if 500 are sold? For what value of x will the profit be at a maximum?
Find the complex solution to this quadratic equation: x^2 + 6x + 10 = 0. keywords: imaginary solutions
For the equation y = x^2 - 6x + 3, what is the domain and the range?
For problems #5 and #6, solve each inequality without graphing 5. x^2 + 3x < 18 6. 2/(a - 2) < 3/(a + 1)
The formula h(s) = -32s2 + 400s + 8 models a rocket's height, h, in feet, s seconds after launching. Find the height, h(s), five seconds after launch.
Solve by any method: x - 2 - 8√(x - 2) + 15 = 0.
The rule-of-70 provides a simple way to calculate the approximate number of years it takes for the level of a variable growing at a constant rate to double. The rule states that if the constant growth rate is r, the variable will double after approximately n years when n = 70/ r. a) Explain how this rule can be derived. b)
12x^(5/3)(4x^(2)-9)^-1 +2x^(-1/3) -3(2x^(1/3)+3x^(-2/3))^-1 = (7x-6) / (x^(1/3)(2x-3))
15. A mathematics instructor asked her students to keep track of how much time each spent studying the chapter on percent notation in her basic mathematics course. She collected the information, together with test scores from that chapter's test, in the table below. a). Use the two points reporting data for 9 hours of study
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 the 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. b) Graph this function
Math Puzzle. See attached file for full problem description. 3 - 4(2 - 1)=? For y = -2x - 6 slope = ? y-intercept = ? Solve this system of equations: x + y=5 and 3x - 5y= -9 X=? Y = ? For x/3 - y/6 = 5, what is the Lowest Common Multiple, that is, what do you multiply all terms by to eliminate the denominators?
9x4 + 4x3 - 27x2 + 12x <------ Factor by finding the GCF x2 + 2x - 15 <--------Factor by grouping For these problems, identify which of the methods from this lesson (GCF, grouping, difference of squares, or perfect squares) could be used to factor the polynomial. 17. x2 + 2x + 1 A This polynomial could b
The intensity level of an earthquake is based on the Richter scale. Using logarithms, the Richter scale measures an earthquake relative to (as a ratio of) the weakest possible tremor. What is the formula for measuring earthquakes? Why is a 7.0 earthquake ten times stronger than a 6.0 earthquake? Pick an earthquake in you
A geologist you spoke with is concerned about the rate of land erosion around the base of a dam. Another geologist is studying the magma activity within the earth in an area of New Zealand known for its volcanic activity. One of the shortcuts they apply when doing calculations in the field is to use synthetic division. After the
4 (i) Let C be a linear code in IF. Explain what is meant when we say that C is cyclic. Give also the algebraic characterisation of cyclic codes using the ring .... (ii) Explain why the cyclic codes in R are in 1-1 correspondence with the monic polynomials in IFq[xJ that divide ? 1. Give the definition of the generator polynom
Smith bicycled 45 miles going east from Durango, and Jones bicycled 70 miles. Jones averaged 5 miles per hour more than Smith, and his trip took one-half hour longer than Smith's. How fast was each one traveling?
Solve by the method of your choice: (5x - 1)^2 = 24