Marks Let f ( x ) = x 3 + 5 x 2 + 17 x − 10. The equation f ( x ) = 0 has only one real root. 4 (i) Show that the root lies between 0 and 2. (ii) Use one application of the ‘halving the interval’ method to find a smaller interval containing the root. (iii) Which end of the smaller interval found in part (ii) is closer to the root? Briefly justify your answer. Consider the equation 4 x 3 + 6 x 2 − x − 30 = 0. One of the roots of this equation is equal to the sum of the other two roots. Find
Words: 849 - Pages: 4
| |FAKULTI EKONOMI DAN PERNIAGAAN | | |UNIVERSITI MALAYSIA SARAWAK | | |94300 KotaSamarahan | | |Sarawak
Words: 552 - Pages: 3
Polynomial functions mc-TY-polynomial-2009-1 Many common functions are polynomial functions. In this unit we describe polynomial functions and look at some of their properties. In order to master the techniques explained here it is vital that you undertake plenty of practice exercises so that they become second nature. After reading this text, and/or viewing the video tutorial on this topic, you should be able to: • recognise when a rule describes a polynomial function, and write down the degree
Words: 2680 - Pages: 11
profit? This is a quadratic equation with a negative coefficient of x2, so I know that the max is on the axis of symmetry. The formula for the axis of symmetry; x = -b/ (2a), in this equation a = -25, b = 300 X = - 300 / 2 • (-25) I will simplify the equation: p = -25x2 + 300x quadratic equation Therefore you can find the max profit by finding the value of x of the axis of symmetry and find the vertex with that: Axis of symmetry formula: x = -b/ (2a) In equation; p = -25x2 + 300x a = -25
Words: 301 - Pages: 2
Learning Targets: A. Find the roots of a quadratic equation using the quadratic formula. B. Show positive attitude in dealing personal problems. I. Concept Notes Quadratic Formula For any quadratic equation of the form are ax 2 + bx + c = 0 , where a ≠ 0 the solutions x= − b ± b 2 − 4ac 2a The quadratic formula gives us another technique to solve a quadratic equation. This method will work regardless of whether the equation is factorable or not factorable. Example: Directions:
Words: 458 - Pages: 2
w = -3 w = 5, -3 (5)2 – 2(5) = 15 25 – 10 = 15 15 = 15 True (-3)2 – 2 (-3) = 15 9 + 6 = 15 15 =15 This is the original quadratic equation. In order to solve it, we will set it equal to zero. Subtract 15 from both sides of the equal sign Now that our trinomial is equal to zero we can start factoring the equation. In order to do that we have to factor the trinomial into two binomials because we cannot use the completing the square method. The reason why I picked
Words: 331 - Pages: 2
|Teachers: | |Karla Meinen and Andrew Geigas | |Accommodations by Dalton Cook | |Student: |Age: |Grade Level: | |“Junior” |15 |Freshman | |Subject:
Words: 1985 - Pages: 8
under water. | | In the equation of a line, ŷ = a + bx, b is the slope. The slope is the amount by which y changes when x increases by one unit. | Points Earned: | 1/1 | Correct Answer: | A | Your Response: | A | 3. | According to the regression line, how long does a typical dive to a depth of 180 meters last? Answer to 3 decimal places. | | Answer | The predicted value of the dive duration (DD) to a depth D = 180 is given by the regression equation DD = 2.69 + 0.0138D = 2.69 +
Words: 5441 - Pages: 22
income = [pic] b) [pic] (c). H Regency offers a better wage. Lecture 2 - Applications of Linear and quadratic functions (1) 1. [pic] 2. S(p) = 5.24p2 – 100 3. [pic] 4. Substituting these data points into the general equation for a quadratic function [pic], and solving the resulting system simultaneously gives the demand function. [pic], where p equals the selling price in dollars and [pic]equals demand stated in thousand of units. Lecture 3 - Applications of
Words: 961 - Pages: 4
Tairkeisha Dunson Mr. Cather 6 November 2014 03.05 Module Three Quiz Assessment 1. four different quadratic functions: · The function f(x) is a difference of squares: * f(x) = (x+3)^2 – (2)^2) *Factored as: f(x) = (x+3+2)(x+3-2) *(x+5)(x+1) *f(x) = (x+1)(x+5) * f(x)=x^2 + 6x + 5 · The
Words: 815 - Pages: 4
