Solve each equation in Exercises 73-81 by the method of your choice. One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.) Source: State Higher Education Executive Others Association The mathematical model G = − 82 x 2 + 410 x + 7079 Describes government aid per college student, G, x years after 2005. a. Does the model underestimate or overestimate aid per student in 2011? By how much? b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Solve each equation in Exercises 73-81 by the method of your choice. One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.) Source: State Higher Education Executive Others Association The mathematical model G = − 82 x 2 + 410 x + 7079 Describes government aid per college student, G, x years after 2005. a. Does the model underestimate or overestimate aid per student in 2011? By how much? b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
Solution Summary: The author explains how the model overestimates or underestimates aid per student in 2011 and by underset_13.
Solve each equation in Exercises 73-81 by the method of your choice.
One possible reason for the explosion of college tuition involves the decrease in government aid per student. In 2001, higher-education revenues per student averaged $8500. The bar graph shows government aid per U.S. college student from 2005 through 2012. (All figures are adjusted for inflation and expressed in 2012 dollars.)
Source: State Higher Education Executive Others Association
The mathematical model
G
=
−
82
x
2
+
410
x
+
7079
Describes government aid per college student, G, x years after 2005.
a. Does the model underestimate or overestimate aid per student in 2011? By how much?
b. If we project the model past 2012, determine in which year government aid per student decreased to $4127.
. Given the function f: XY (with X and Y as above) defined as
f(2) = 2, f(4) = 1,
ƒ(6)=3, ƒ(8) = 2,
answer the following questions. Justify your answers.
(a) [4 points] Is f injective?
(b) [4 points] Is f surjective?
(c) [2 points] Is f bijective?
1. Let
15 -14
A
= -10
9
13-12
-8 7
11
15
-14 13 -12
-6 and B =
-10 9 -8 7 -6
5
-4
3 -2
E
5 -4 3 -2 1
Explicitly give the values of A2,3, A1,5, and B1,4-
Is A a 5 x 3 matrix? Explain your answer.
Are A and B (mathematically) equal? Explain your answer.
Given the following set
X = {2, 4, 6, 8} and Y = {1, 2, 3},
explicitly give (e.g., write down the sets with numerical entries) of the outputs of the
following requested set operations:
(a) [2 points] XUY (Union)
(b) [2 points] XY (Intersection)
(c) [3 points] X\Y (Difference)
(d) [3 points] XAY (Symmetric Difference)
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