Open-Ended Write a cubic monomial and a fourth-degree trinomial. Then find their product and write it in standard form. Prentice Hall Foundations Algebra 1 • Teaching Resources Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved. 26 Name Class Date 8-4 1.
Given any input (a0,a1,a2,…a2n-1 describe the permutation of the leaves of the recursion tree. (Hint: write indices in binary and see what the relationship is of the bits of the ith element of the original sequence and the ith element of the resulting permutation of elements as they appear on the leaves on the recursion tree.) 3) Timing Problem in VLSI chips. Consider a complete balanced binary tree with n = 2k leaves. Each edge has an associate positive number that we call the length of this edge (see picture below).
2 4. (a) Factorise x2 + x – 6. 2 (b) Multiply out the brackets and collect like terms. (3x + 2)( x2 + 5x – 1) 3 [ X100/201] Page four Marks 5. The diagram below shows the graph of y = –x .
{ b = 2 + a } b) Multiplies b by 4 and stores the result in a. { a = b * 4} c) Divides a by 3.14 and stores the result in b. { b = a MOD 3.14 } d) Subtracts 8 from b and stores the result in a { a = 8 – b } 4. Assume the variables result, w, x, y and z are all integers, and that w=5, x=4, y=8 and z=2. What value will be stored in result in each of the following statements?
Geometry and trigonometry Topic assessment 1. Describe fully the curve whose equation is [pic]. [2] 2. Show that the line y = 3x – 10 is a tangent to the circle [pic]. [4] 3.
Radicals Tips 1. Make sure that one of the two factors of the radicand (expression under the radical) is the largest perfect square: Example: Simplify 72 Correct 72 = 36 ∙ 2 = 62 Incorrect 72 = 9 ∙ 8 = 38 2. To be able to add or subtract radicals, the radicands must be the same. Example 1: Add 32 + 52 Answer: Since radicands are the same, (3 + 5)2 = 82 Example 2: Subtract 73 - 3 Answer: (7 – 1)3 = 63 Example 3: 318 - 52 (Must simplify first) 39 2 - 52 3 ∙ 3 ∙ 2 - 52 92 - 520 Answer: 42
Find the next three terms in each geometric sequence. 5. 10, 20, 40, 80, … SOLUTION: eSolutions Manual - Powered by Cognero Page 1 7-7 Geometric Sequences as Exponential Functions Since the ratios are constant, the sequence is geometric. The common ratio is –1. Find the next three terms in each geometric sequence.
Miranda Pesci Essay #1 Sue Smith (Towaco Post Office) Dear Sue, As per our phone conversation I am sending you the information we discussed in greater detail. Like I stated previously a tour that starts at a vertex of a graph and visits each vertex once and only once, returning to where it started, is called a Hamiltonian Circuit. A circuit that covers each edge of a graph once and only once is called an Euler Circuit. It is much easier to determine if a graph has an Euler circuit as opposed to a Hamiltonian circuit. For our purposes your route has an Euler circuit and I will now explain how I came to that conclusion.
18. How many solutions to a system of equation is represented by each graph? a. b. c. d. 19. Determine the domains of the piecewise functions. Put your answer in interval
Identify if the order triple (1, 2,3) is a solution of the given system of equations. 3x 5 y z 16 7 x y 3z 4 x 5 y 7 z 10 4. Identify if the system of equations given below has unique solution, infinitely many solutions, or no solution. 2 x 5 y 16 3x 7.5 y 24 5. Given is the augmented matrix of a system of equations: 1 5 6 2 7 1 3 5 1 5 7 13 Write the new form of the augmented matrix after the following row operations.