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mathematics
college algebra
Intermediate Algebra 13th Edition Margaret Lial, John Hornsby, Terry McGinnis - Solutions
In Problems 115–118, write an equation of each line. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. NORMAL FLOAT AUTO REAL RADIAN MP 3 -2 13
In Problems 115–118, write an equation of each line. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. NORMAL FLOAT AUTO REAL RADIAN MP -2 43 0
In Problems 115–118, write an equation of each line. Express your answer using either the general form or the slope-intercept form of the equation of a line, whichever you prefer. NORMAL FLOAT AUTO REAL RADIAN MP -6 0 16
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.When mineral deposits formed a coating 2 millimeters thick on the inside of a circular pipe, the area
Find an equation of the x-axis.
Find an equation of the y-axis.
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Solve 3x2 + x = 1 by using the quadratic formula.
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Solve x2 - 8x + 4 = 0 by completing the square.
For nonzero constants a and b, find the intercepts of the graph of Then test for symmetry with respect to the x-axis, the y-axis, and the origin. (x² + y² -ax)² = b² (x² + y²)
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.-x + 3y = 6
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.2x - 3y = 6
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.3x + 2y = 6
Problems 94–103 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Find the value of x + y x - y if x = 6 and y = -2.
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.y = -1
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.y = 5
In Problems 79–98, find the slope and y-intercept of each line. Graph the line.x = 2
A truck rental company rents a moving truck for one day by charging $39 plus $0.60 per mile. Write a linear equation that relates the cost C, in dollars, of renting the truck to the number x of miles driven. What is the cost of renting the truck if the truck is driven 110 miles? 230 miles?
The fixed costs of operating a business are the costs incurred regardless of the level of production. Fixed costs include rent, fixed salaries, and costs of leasing machinery. The variable costs of operating a business are the costs that change with the level of output. Variable costs include raw
Dan receives $525 per week for selling new and used cars. He also receives 5% of the profit on any sales. Write a linear equation that represents Dan’s weekly salary S when he has sales that generate a profit of x dollars.
The annual fixed costs of owning a small sedan are $4252, assuming the car is completely paid for. The cost to drive the car is approximately $0.14 per mile. Write a linear equation that relates the cost C and the number x of miles driven annually.
Florida Power & Light Company supplies electricity to residential customers for a monthly customer charge of $8.01 plus 8.89 cents per kilowatt hour (kWh) for up to 1000 kilowatt hours. (a) Write a linear equation that relates the monthly charge C, in dollars, to the number x of kilowatt hours
Ameren Illinois supplies natural gas to residential customers for a monthly customer charge of $21.82 plus 64.9 cents per therm of heat energy.(a) Write a linear equation that relates the monthly charge C, in dollars, to the number x of therms used in a month. (b) What is the monthly charge
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve: x - 5√x + 6 = 0
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Multiply and simplify the result. x²16 x² + 6x + 8 2 x + 2 16 - 4x
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Rationalize the denominator: √x + 1 + √x √x+1=√x
A report showed that Internet ads accounted for 19% of all U.S. advertisement spending when print ads (magazines and newspapers) accounted for 26% of the spending. The report further showed that Internet ads accounted for 35% of all advertisement spending when print ads accounted for 16% of the
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Simplify (1) . Assume x = 0 and y# 0. Express the answer so that all exponents are positive.
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Solve the equation: (x - 3)2 + 25 = 49
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. The lengths of the legs of a right triangle are a = 8 and b = 15. Find the hypotenuse.
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Determine what number should be added to complete the square: r x2 3 -X 4
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam. Solve |2x - 5 + 7 < 10. Express the answer using set notation or interval notation. Graph the solution
Problems 154–162 are based on material learned earlier in the course. The purpose of these problems is to keep the material fresh in your mind so that you are better prepared for the final exam.Determine the domain of the variable x in the expression: 8 2 -X 3
Simplify each expression. √25-5(-1)²
Write an equation of the line passing through the given point(s) and satisfying any given conditions. Give the equation (a) In slope intercept form (b) In standard form (4, -1); m = -5
Solve each equation. 3x - 1 5 + x + 2 2 3 10
Write an equation of the line passing through the given point and satisfying the given condition. (-3, 14); horizontal
Solve each equation. 22 5+32 = 4 (2+2)
Write an equation of the line passing through the given point and satisfying the given condition. (5, -6); vertical
Find the slope of each line. Coordinates of the points shown are integers. -4. y + 0 4 4 H X
Two planes leave the Dallas–Fort Worth airport at the same time. One travels east at 550 mph, and the other travels west at 500 mph. Assuming no wind, how long will it take for the planes to be 2100 mi apart? West Airport East
If each side of a square were increased by 4 in., the perimeter would be 8 in. less than twice the perimeter of the original square. Find the length of a side of the original square. Original square x + 4 New square
Write an equation of the line passing through the given point and satisfying the given condition. (0, 0); horizontal
Find the slope of each line. Coordinates of the points shown are integers. -4.... H y 0 4... F+-+-+-+-+- - X
Find the slope of each line.Perpendicular to 3x - y = 4
Solve each problem. -4
Find the slope of each line.Parallel to 3y = 2x + 5
Find the slope of each line. X -2 -1 0 1 у 6 3 0 -3
Write an equation in slope-intercept form of the line passing through the point (-7, 2) and satisfying the given condition.(a) Parallel to 3x + 5y = 6 (b) Perpendicular to y = 2x
A ticket to a rock concert costs $142.75. An advance parking pass costs $45. Let x represent the number of tickets purchased and y represent the total cost in dollars.(a) Write an equation in slope-intercept form that represents this situation.(b) How much does it cost for 6 tickets and a parking
Solve each problem. -0.3x + 2.1(x-4) ≤ −6.6
Solve each problem. 1 x 2ts > 3 and 1 3 V م | درا
Determine whether the slope of the line is positive, negative, 0, or undefined. (a) y X (b) 0 X (c) X (d) y x
If the pitch of a roof is 1/4, how many feet in the horizontal direction correspond to a rise of 3 ft? -4 ft- 1 ft i
Solve each problem. |2k7| + 4 = 11
Solve each problem. -5x + 1 ≥ 11 or 3x+5 > 26
Which of the following does not define a function? Give its domain and range. A. {(0, 1), (2, 3), (4,8)} B. y = 2x - 6 C. y = √x + 2 D. X 0 3 0 6 y 1 2 2 3
Which of the following is the graph of a function? Give its domain and range. A. C. y X B. D. 0 0 X X
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form (0, -8); slope 3/5
Determine whether each pair of lines is parallel, perpendicular, or neither.3x - y = 6 and x + 3y = 12
Solve each problem. |3x + 6 ≥ 0
Graph each inequality or compound inequality.3x - 2y > 6
Determine whether each pair of lines is parallel, perpendicular, or neither.3x - y = 4 and 6x + 12 = 2y
Graph each inequality or compound inequality.y < 2x - 1 and x - y < 3
In 1980, the median family income in the United States was about $21,000 per year. In 2016, it was about $59,039 per year. Find the average rate of change in median family income per year to the nearest dollar during this period.
Find the x-and y-intercepts of the line with equation 3x + 5y = 12, and graph the line.
For f(x) = -x2 + 2x 1, find f(1) and f(a).
Consider the points A(-2, 1) and B(3, -5).(a) Find the slope of the line AB.(b) Find the slope of a line perpendicular to line AB.
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form H (0, 5); slope - 3
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form (2,-5) and (1,4)
Graph the linear function ƒ(x) = 2/3 x - 1. Give the domain and range.
Write an equation of the line passing through the given point(s) and satisfying any given conditions. Give the equation (a) In slope-intercept form(b) In standard form (0, -1); slope 3 4
Give the domain and range of the relation. Does it define a function? 14- 91 75 23 :9 -70 -56 5
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form (-3,-1) and (2,6)
Write an equation of the line passing through the given point(s) and satisfying any given conditions. Give the equation (a) In slope-intercept form(b) In standard form (4, -3) and (1, 1)
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form (6, -2); parallel to 4x - y = 3
Write an equation of the line passing through the given point(s) and satisfying any given condition. Give the equation (a) In slope intercept form (b) In standard form (0, 1); perpendicular to 2x - 5y = 7
Average annual charges for tuition, fees, room, and board (in dollars) at private nonprofit 4-year universities in the United States are shown in the graph.(a) Use the information given for the years 2013 and 2017, letting x = 13 represent 2013 and x = 17 represent 2017, and letting y represent
Complete the table of ordered pairs for the equation 2x - 3y = 12. X 1 3 y -4
The graph shows per capita consumption of potatoes (in pounds) in the United States from 2008 to 2016.Use the given ordered pairs to find and interpret the average rate of change in per capita potato consumption per year to the nearest tenth during this period. U.S. Potato Consumption Per Capita
Complete the given table of ordered pairs for each equation, and then graph the equation. x - y = 8 Х X У 2 3 -3 -2
Complete the given table of ordered pairs for each equation, and then graph the equation. 3x + 2y = 10 X У 0 2 0 -2
Write an equation of the line passing through the given point and satisfying the given condition.(0, 12); slope 0
Write an equation of the line passing through the given point and satisfying the given condition.(2, 7); undefined slope
Complete the table of fraction, decimal, and percent equivalents. (a) (b) (c) (d) Fraction in Lowest Terms (or Whole Number) 1 100 Decimal 0.5 1.0 Percent 75%
Write an equation of the line passing through the given point and satisfying the given condition.(0.3, 0.6); vertical
The graph shows per capita consumption of potatoes (in pounds) in the United States from 2008 to 2016.Write an equation in slope-intercept form that models per capita consumption of potatoes y (in pounds) in year x, where x = 0 represents 2008. U.S. Potato Consumption Per Capita Consumption (spunod
Multiply or divide as indicated. (a) 6 ÷ 3 4 (b) 1.5 × 100 (c) 1.25 10
Write an equation of the line passing through the given point and satisfying the given condition.(-1, 4); horizontal
A lease on a 2018 Chevrolet Sonic LT hatchback costs $2829 at signing, plus $229 per month. Let x represent the number of months since the signing and y represent the amount paid (in dollars).(a) Write an equation in slope-intercept form that represents this situation.(b) How much will be paid over
Determine whether each pair of lines is parallel, perpendicular, or neither.4x + 3y = 8 and 6y = 7 - 8x
Write an equation of a line (in the form specified, if given) passing through the given point(s) and satisfying any given conditions. (0, 0); m = 3 (slope-intercept form)
To emphasize that “y is a function of x” for a given function ƒ, we use function notation and write y = _______ . Here, ƒ is the name of the _______ , x is a value from the _______ , and ƒ(x) is the function value (or y-value) that corresponds to _______ . We read ƒ(x) as “_______ .”
Write an equation of a line (in the form specified, if given) passing through the given point(s) and satisfying any given conditions. (0, 3) and (-2,4) (standard form)
Determine whether each pair of lines is parallel, perpendicular, or neither.3x + y = 4 and 3y = x - 6
Find the x-and y-intercepts. Then graph each equation.4x - 3y = -12
Find the x-and y-intercepts. Then graph each equation.x = 2
Find the midpoint of each segment with the given endpoints. (-8, -12) and (8, 16)
Find the x-and y-intercepts. Then graph each equation.4x - 3y = 12
Perform each operation. -|-2| -4+|-3|
Write an equation of a line (in the form specified, if given) passing through the given point(s) and satisfying any given conditions. (2, -3); perpendicular to x = 2
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