Using these results for a given ratio, compute the median. 14%, 13.5 % , 13 % , 11.8% , 10.5 9.5%, 9.3%, 9%, 7% % , question not yet answered points out of 1.00 p flag question i using these results for a given ratio, compute the upper quartile. 14%, 13.5 % , 11.8 % , 13 % , 10.5%, 9.5 % , 9.3%, 9% , 7 % question 2 not yet answered points out of 1.00 p flag question using these results for a given ratio, compute the lower quartile. 14% , 13.5% , 13 % , 11.8 %, 10.5%, 9.5 % , 9.3 % , 9 % , 7% question 3 not yet answered points out of 1.00 p flag question
question 4 -which of the following statements is incorrect? not yet answered select one: ponts out of a, a very long list of meaningful ratios can be derived 1.00 b. comparison of income statement and balance sheet numbers, in the form of ratios, should not be done flag question c. a ratio can be computed from any pair of numbers d. there is one standard list of ratios e. ratios are fractions expressed in percent or times per year question 5 a figure from this year's statement is compared with a base selected from the current year not yet answered select one: points out of a. funds statement 1.00 b. absolute figures p flag question c. balance sheet d. horizontal common size statement e. vertical common size statement
question 6 industry ratios should not be considered as absolute norms for a given industry because of all but which of the following? not yet answered points out of select one: 1.00 a. the financial services may be private idependent firms p flag question b. companies within the s ame industry may differ in the method of operations c. many companies have varied product lines d. the firms have different accounting methods e. the fiscal year-ends of the companios may differ question 7 which analysis compares each amount with a base amount for a selected base year? not yet answered select one: points out of a. common size statement 1.00 p flag b. vertical common size question c. horizontal common size d. funds statement e. none of the answers are correct
question 8 suppose you are comparing two firms in the coal industry. which type of numbers would be not yet most meaningful for statement analysis? answered points out of select one: 1 00 a. it is not meaningful to compare two firms flag question b. relative numbers would be most meaningful for both firms, especially for interfirm comparisons c. absolute numbers would be most meaningful d. absolute numbers are not relevant e. relative numbers are not meaningful question 9 management is a user of financial analysis. which of the following comments does not represent a fair statement as to the management perspective? not yet answered ponts out of select one: 1.00 a. management is interested in the debt position p flag question b. management is interested in profitability c. managoment is interested in liquidity d. management is not interested in the view of investors in the financial structure of the entity nt nt

answer: learning objective(s)

·         describe the creation and use of systems of equations.

·         graph a system of linear equations on the coordinate plane and identify its solution.

introduction

sometimes graphing a single linear equation is all it takes to solve a mathematical problem. other times, one line just doesn’t do it, and a second equation is needed to model the situation. this is often the case when a problem involves two variables. solving these kinds of problems requires working with a system of equations, which is a set of two or more equations containing the same unknowns.

let’s take a look at systems of equations, and see what the graphs of individual equations within a system reveal about the mathematical relationship of the variables.

systems of equations

a system of equations contains two or more linear equations that share two or more unknowns. to find a solution for a system of equations, we must find a value (or range of values) that is true for all equations in the system.

the graphs of equations within a system can tell us how many solutions exist for that system. look at the images below. each show two lines that make up a system of equations (in the graph on the right the two lines are superimposed and look like a single line). how many points in common does each system of lines reveal?

one solution

no solutions

infinite solutions

if the graphs of the equations intersect, then there is one solution that is true for both equations.

if the graphs of the equations do not intersect (for example, if they are parallel), then there are no solutions that are true for both equations.

if the graphs of the equations are the same, then there are an infinite number of solutions that are true for both equations.

remember, the graph of a line represents every point that is a possible solution for the equation of that line. so when the graphs of two equations cross, the point of intersection lies on both lines, meaning that it is a possible solution for both equations. when the graphs of two equations never touch, there are no shared points and there are no possible solutions for the system. when the graphs of two equations lie on top of one another, they share all their points and every one is a possible solution.

graphing as a solution method

graphing equations in order to identify a specific point of intersection is usually not a precise way to solve systems because it is often difficult to see exactly where two lines intersect (unless you are using a computer-based graphing program that allows you to zoom in on a point). however, the graph of a system of equations can still give a good idea of what type of solution, if any, exists. let’s graph a system, and see how it works.

graph the system y = 3x and x + 2y = 4. how many solutions does this system have?

a graph of the two lines y = 3x and x + 2y = 4 shows us that the lines intersect, meaning that there is a single (x, y) value that satisfies both equations. looking at the graph does not tell us exactly where that point is, but we don’t need to know that information here, because the question only asks for the number of solutions.

so a system made of two intersecting lines has one solution. now let’s look at a different situation:

how many solutions exist for the system y -0.5x = 7 and 2y = x − 3?

plotting both equations, it looks like there is no solution—the lines are parallel. to check this finding, we can compare the slopes of the equations. to make that easy, we’ll rearrange the equations into slope-intercept form, or y = mx + b.   that gives us the equations y = 0.5x + 7 and y = 0.5x − 1.5.   yes, the slope of both lines is 0.5, which means the lines really are parallel. they never intersect, so there is no point that lies on both lines, and no solution to the system.

step-by-step explanation:

5

step-by-step explanation:

the car was traveling 40 mph before it started skidding. ( 2 points ) 17. was the driver were her brakes working at 75% efficiency or better? ( 2 points ) yes 29.

step-by-step explanation: