Make Sense? In Exercises 54-57, determine whether each statement makes sense or does not make sense, and explain your reasoning. 54. Solving a system in three variables, I found that x = 3 and y = -1. Because z represents a third variable, z cannot equal 3 or -1. 55. A system of linear equations in three variables, x, y, and z, cannot contain an equation in the form y = mx + b. 56. I'm solving a three-variable system in which one of the given equations has a missing term, so it will not be necessary to use any of the original equations twice when I reduce the system to two equations in two variables. 57. Because the percentage of the U.S. population that was foreign-born decreased from 1910 through 1970 and then increased after that, a quadratic function of the form f(x) = ax? + bx + c, rather than a linear function of the form = mx + b, should be used to model the data. (x)

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Make Sense? In Exercises 54-57, determine whether each
statement makes sense or does not make sense, and explain your
reasoning.
54. Solving a system in three variables, I found that x = 3 and
y = -1. Because z represents a third variable, z cannot
equal 3 or -1.
55. A system of linear equations in three variables, x, y, and z,
cannot contain an equation in the form y = mx + b.
56. I'm solving a three-variable system in which one of the given
equations has a missing term, so it will not be necessary to
use any of the original equations twice when I reduce the
system to two equations in two variables.
57. Because the percentage of the U.S. population that was
foreign-born decreased from 1910 through 1970 and then
increased after that, a quadratic function of the form
f(x) = ax? + bx + c, rather than a linear function of the form
= mx + b, should be used to model the data.
(x)
Transcribed Image Text:Make Sense? In Exercises 54-57, determine whether each statement makes sense or does not make sense, and explain your reasoning. 54. Solving a system in three variables, I found that x = 3 and y = -1. Because z represents a third variable, z cannot equal 3 or -1. 55. A system of linear equations in three variables, x, y, and z, cannot contain an equation in the form y = mx + b. 56. I'm solving a three-variable system in which one of the given equations has a missing term, so it will not be necessary to use any of the original equations twice when I reduce the system to two equations in two variables. 57. Because the percentage of the U.S. population that was foreign-born decreased from 1910 through 1970 and then increased after that, a quadratic function of the form f(x) = ax? + bx + c, rather than a linear function of the form = mx + b, should be used to model the data. (x)
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