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    Algebra

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    Real Number

    Write the expression in the form , where a and b are real numbers (5+3i)^2

    Finding the equation of a line.

    Whenever a formula is used, begin by typing the formula you intend to use. Make sure to subscript where appropriate. Find the equation, in slope intercept form, of the line that passes through the points (-7, -2) and (-4, 1).

    Equation of a Line which Passes through a Point

    Write an equation of the line that passes through the given point and is parallel to the given line. Write answer in slope intercept form. (0, 3), 5y-40x =1 a. y= 8x - 3 b. y= -1/8 x + 3 c. y= -1/3 x + 8 d. y= -1/8 x + 8 e. y= 8 x+ 3

    Slope

    What is the slope of the line passing through the points (5, 0) and (7, 6)? a. -3 b. 1/3 c. 3 d. -1/3

    Algebra - Frequency Distribution Concepts

    1. The objective of statistics is best described as: A) To make inferences about a sample based on information we get from a population B) To use population mean, ? as an estimate of the sample mean, C) To make inferences about a population based on information we get from a sample taken from the population D) To make in

    Time Distance Formula

    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: How far have you traveled after 3 hours, 4 hours? How far have you traveled after t hours? i.e. write a linear function that expresses the distance t

    Direct sums

    Equivalent characterizations of a vector space expressible as a direct sum of two subspaces

    Sums of Geometric Sequences : Checkerboard Problem

    A traveling salesman (selling shoes) stops at a farm in the Midwest. Before he could knock on the door, he noticed an old truck on fire. He rushed over and pulled a young lady out of the flaming truck. Farmer Crane came out and gratefully thanked the traveling salesman for saving his daughter's life. Mr. Crane insisted on giving

    Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following

    Use the arithmetic sequence of numbers 1, 3, 5, 7, 9, ..... to find the following: a. What is d, the difference between any 2 terms b. Using the formula for the nth term of an arithmetic sequence, what is 101st term? c. Using the formula for the sum of an arithmetic series, what is the sum of the first 20 term? what is the sum o

    Sums of Geometric Sequences

    Use the geometric sequence of numbers 1, 1/3, 1/9, 1/27...to find the following: What is r, the ration between 2 consecutive terms? a)Answer and Show work : b) Using the formula for the sum of the first n terms of a geometric series, what is the sum of the first terms? Carry all calculations to 6 decimals on all assignments

    Checkerboard Problem: Sums of Geometric Sequences

    Get your checkerboard and place one grain of wheat on the first square. Then place two grains of wheat on the next square. Then place four grains on the third square. Continue this until all 64 squares are covered with grains of wheat." As he had just harvested his wheat, Mr. Crane did not consider this much of an award, but he

    Arithmetic and Geometric Sequences and Series

    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, rational,

    Chinese Remainder Theorem

    Need to prove two parts and must follow the Chinese Remainder Theorem. Let be polynomials with integer coefficients of the same degree d. Let be integers which are relatively prime in pairs (i.e., ( for i j). Use the Chinese Remainder Theorem to prove there exists a polynomial f(x) with integer coefficients and of degre

    Writing and Solving Linear Function

    If the speed of a car is a linear function of time in seconds and 10 is less than or equal to t for time is less than or equal to 30. if after each second the speed of the car increases by 5 feet per second and after 20 seconds the speed feet per second is 80 feet per second how fast is the car going after 30 seconds?

    Algebra Questions: arithmetic sequence, geometric sequence

    Use the arithmetic sequence of numbers 2, 4, 6, 8, 10... to find the following: a) What is d, the difference between any 2 terms? Answer: Show work in this space. b) Using the formula for the nth term of an arithmetic sequence, what is 101st term? Answer: Show work in this space. c) Using the formula

    Parabolas : Vertex, x-intercepts and y-intercept.

    For equation y = - 3x^2 - 4x + 4, find the vertex, x-intercepts, and y-intercept. Do not graph the equation. keywords : find, finding, calculating, calculate, determine, determining, verify, verifying, evaluate, evaluating, calculate, calculating, prove, proving

    Writing Equations from Word Problems - Airplane

    A six-passenger plane cruises at 180 mph in calm air. If the plane flies 7 miles with the wind in the same amount of time as it flies 5 miles against the wind, then what is the wind speed?