College Algebra
1st Edition
ISBN: 9781938168383
Author: Jay Abramson
Publisher: OpenStax
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Textbook Question
Chapter 4.1, Problem 77SE
For the following exercises, sketch the graph of each equation.
77.
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Chapter 4 Solutions
College Algebra
Ch. 4.1 - If f(x) is a linear function, and (2,3) and (0,4)...Ch. 4.1 - The population of a small town increased from...Ch. 4.1 - If f(x) is a linear function, with f(2)=11, and...Ch. 4.1 - A new plant food was introduced to a young tree to...Ch. 4.1 - Graph f(x)=34x+6 by plotting points.Ch. 4.1 - Find a point on the graph we drew in Example 12...Ch. 4.1 - Graph f(x)=4+2x, using transformations.Ch. 4.1 - Find the x-intercept of f(x)=14x4.Ch. 4.1 - Given the function h(x)=2x4, write an equation for...Ch. 4.1 - A line passes through the points, (2,15) and...
Ch. 4.1 - Terry is skiing down a steep hill. Terry’s...Ch. 4.1 - Jessica is walking home from a friend’s...Ch. 4.1 - A boat is 100 miles away from the marina,...Ch. 4.1 - If the graphs of two linear functions...Ch. 4.1 - Ifa horizontal line has the equation f(x)=a and...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, determine whether...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, given each set of...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, determine whether the...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x- and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, find the x-and...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, use the descriptions...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, find the slope of the...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, write an equation for...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, match the given...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch a line with...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, sketch the graph of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, write the equation of...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, which of the tables...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - For the following exercises, use a calculator or...Ch. 4.1 - Find the value ofx if a linear function goes...Ch. 4.1 - Find the value ofy if a linear function goes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line that passes...Ch. 4.1 - Find the equation of the line parallel to the line...Ch. 4.1 - Find the equation of the line perpendicular to the...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - For the following exercises, use the functions...Ch. 4.1 - At noon, a barista notices that she has 20 in...Ch. 4.1 - A gym membership with two personal...Ch. 4.1 - A clothing business finds there is a...Ch. 4.1 - A phone company charges for service accordingto...Ch. 4.1 - A farmer finds there is a linear relationship...Ch. 4.1 - A city’s population in the year 1960 was...Ch. 4.1 - A town’s population has been growing linearly.In...Ch. 4.1 - Suppose that average annual income (in dollars)...Ch. 4.1 - When temperature is 0 degrees Celsius,...Ch. 4.2 - A company sells doughnuts. They incur a fixed cost...Ch. 4.2 - A city’s population has been growing linearly. In...Ch. 4.2 - Try it #3 There is a straight road leading from...Ch. 4.2 - Explain how to find the input variable in a word...Ch. 4.2 - Explain how to find the output variable in a wordp...Ch. 4.2 - Explain how to interpret the initial value in a...Ch. 4.2 - Explain how to determine the slope in a...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a triangle bounded by the...Ch. 4.2 - Find the area of a parallelogram bounded by...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, consider this...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the graph in...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - NUMERIC For the following exercises, use the...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - For the following exercises, use the median home...Ch. 4.2 - In 2004, a school population was 1,001. By 2008the...Ch. 4.2 - In 2003, a town’s population was 1,431. By 2007the...Ch. 4.2 - A phone company has a monthly cellular plan where...Ch. 4.2 - A phone company has a monthly cellular data plan...Ch. 4.2 - In 1991, the moose population in a park...Ch. 4.2 - In 2003, the owl population in a park was measured...Ch. 4.2 - The Federal Helium Reserve held about 16...Ch. 4.2 - Suppose the world’s oil reserves in 2014 are 1,820...Ch. 4.2 - You are choosing between two different prepaid...Ch. 4.2 - You are choosing between two different...Ch. 4.2 - When hired at a new job selling jewelry, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.2 - When hired at a new job selling electronics, you...Ch. 4.3 - According to the data from Table 1, what...Ch. 4.3 - Use the model we created using technology in...Ch. 4.3 - Describe what it means if there is a model...Ch. 4.3 - What is interpolation when using a linear model?Ch. 4.3 - What is extrapolation when using a linear model?Ch. 4.3 - Explain the difference between a positive and...Ch. 4.3 - Explain how to interpret the absolute value of...Ch. 4.3 - A regression was run to determine whether there...Ch. 4.3 - A regression was run to determine whether there is...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, draw a scatter plot...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, match each...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - For the following exercises, draw a best-fit line...Ch. 4.3 - The U.S. Census tracks the percentage of persons...Ch. 4.3 - The US. import of wine (in hectoliters) for...Ch. 4.3 - Table 6 shows the year and the number ofpeople...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - For the following exercises, use each set of data...Ch. 4.3 - Graph f(x)=0.5x+10. Pick a set of 5 orderedpairs...Ch. 4.3 - Graph f(x)=2x10. Picka set of5 ordered pairs using...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4.3 - For the following exercises, consider this...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the algebraic equation is...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Determine whether the function is increasing...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Given each set of information, find a linear...Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Find the slope of the line shown in the graph.Ch. 4 - Write an equation in slope-intercept form for the...Ch. 4 - Does the following table represent a linear...Ch. 4 - Does the following table represent a linear...Ch. 4 - On June 1st, a company has $4,000,000 profit.If...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, find the x-and...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - For the following exercises, use the descriptions...Ch. 4 - Find the area of a triangle bounded by the y-axis,...Ch. 4 - A town’s population increases at a constant rate....Ch. 4 - The number of people afflicted with the common...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercise, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Draw a scatter plot for the data in Table 2. Then...Ch. 4 - Draw a scatter plot for the data in Table 3. If we...Ch. 4 - Eight students were asked to estimate their score...Ch. 4 - Draw a best-fit line for the plotted data.Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider the data in...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - Determine whether the following algebraic...Ch. 4 - Determine whether the following function...Ch. 4 - Determine whether the following function...Ch. 4 - Given the following set of information, find a...Ch. 4 - Given the following set of information. find a...Ch. 4 - Find the slope ofthe line in Figure l.Ch. 4 - Write an equation for line in Figure 2.Ch. 4 - Does Table 1 represent a linear function? If so,...Ch. 4 - Does Table 2 represent a linear function? If so,...Ch. 4 - At 6 am, an online company has sold 120 items that...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, determine whether the...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use the graph in...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, use Table 4 which...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...Ch. 4 - For the following exercises, consider this...
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- Select the best statement. A. If a set of vectors includes the zero vector 0, then the set of vectors can span R^ as long as the other vectors are distinct. n B. If a set of vectors includes the zero vector 0, then the set of vectors spans R precisely when the set with 0 excluded spans Rª. ○ C. If a set of vectors includes the zero vector 0, then the set of vectors can span Rn as long as it contains n vectors. ○ D. If a set of vectors includes the zero vector 0, then there is no reasonable way to determine if the set of vectors spans Rn. E. If a set of vectors includes the zero vector 0, then the set of vectors cannot span Rn. F. none of the abovearrow_forwardWhich of the following sets of vectors are linearly independent? (Check the boxes for linearly independent sets.) ☐ A. { 7 4 3 13 -9 8 -17 7 ☐ B. 0 -8 3 ☐ C. 0 ☐ D. -5 ☐ E. 3 ☐ F. 4 THarrow_forward3 and = 5 3 ---8--8--8 Let = 3 U2 = 1 Select all of the vectors that are in the span of {u₁, u2, u3}. (Check every statement that is correct.) 3 ☐ A. The vector 3 is in the span. -1 3 ☐ B. The vector -5 75°1 is in the span. ГОЛ ☐ C. The vector 0 is in the span. 3 -4 is in the span. OD. The vector 0 3 ☐ E. All vectors in R³ are in the span. 3 F. The vector 9 -4 5 3 is in the span. 0 ☐ G. We cannot tell which vectors are i the span.arrow_forward
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