Exercises 67-74: Solve the linear equation with thex-intercept method. Check your answer. Approximate thesolution to the nearest thousandth whenever appropriate.67. 2x – 4 = 068. -1–69. 2x = -(3 – x)70. 3x = -(x – 4)71. –2(3 – 2x) = 4x – (1 – x)72. x - 3(x – 4) =-(-3 – x)73.374. (x – V2) = 1.07.x – 6

67). To solve the equation 2x-4=0 with the x-intercept method. Solution: x-intercept is point where…

Answered: Exercises 67-74: Solve the linear…

Elementary Algebra

17th Edition

ISBN:9780998625713

Author:Lynn Marecek, MaryAnne Anthony-Smith

Publisher:Lynn Marecek, MaryAnne Anthony-Smith

Chapter5: Systems Of Linear Equations

Section5.4: Solve Applications With Systems Of Equations

Problem 238E: Write a uniform motion problem similar to Example 5.42 that relates to where you live with your...

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Write a uniform motion problem similar to Example 5.42 that relates to where you live with your friends or family members. Then translate to a system of equations and solve it.
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Crude Oil Using data for the years from 2010 andprojected to 2030, the U.S. Crude Oil production isgiven by y = 0.0154x + 1.85 billions of barrels,with x equal to the number of years after 2010. Inwhat year does the model predict the crude oil production will be 2.158 billion barrels?
The date of the first sighting of robins has been occurring earlier each spring over the past 25 years at a certain laboratory. Scientists from this laboratory have developed two linear equations, shown below, that estimate the date of the first sighting of robins, where x is the year and y is the estimated number of days into the year when a robin can be expected. Complete parts a and b.(Hint: 2000 was a leap year.) y=711-0.314x Y=1568-0.745x a. Compare the date of first sighting in 2000 for each of these equations. b. Solve this system of equations to find the year in which the two estimates agree.
The date of the first sighting of robins has been occurring earlier each spring over the past 25 years at a certain laboratory. Scientists from this laboratory have developed two linear equations, shown below, that estimate the date of the first sighting of robins, where x is the year and y is the estimated number of days into the year when a robin can be expected. Complete parts a and b. (Hint: 2000 was a leap year.) y=725-0.321x y=1558-0.735x A. Compare the date of first sighting in 2000 for each of these equations. March 23, March 28 B. Solve this system of equations to find the year in which the two estimates agree. Therefore, the year in which the two estimates agree is________.
Seek a linear equation satisfying the condition, is it possible? It passes through (-2,7) and (1,16)
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A thief steals a number of plants from a nursery. On the way out, the thief meets three security guards, one after another. To each security guard, the thief is forced to give one-half the plants that he still has, plus 2 more. Finally, the thief leaves the nursery with 1 lone plant. How many plants were originally stolen? Develop a model to show a general solution. The model should be in the form of a linear equation. Use the model to show the number of plants originally stolen if the thief has x plants left. Test your model with several ( at least 2 more )example values.

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