For Exercises 9-32, solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. (See Examples 2-5) 3 x = 5 y − z + 13 − x − y − z = x − 3 5 x + y = 3 y − 3 z − 4
For Exercises 9-32, solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. (See Examples 2-5) 3 x = 5 y − z + 13 − x − y − z = x − 3 5 x + y = 3 y − 3 z − 4
Solution Summary: The author calculates the solution of the system of equations. The ordered triplet (-2,-3,4) is a solution.
For Exercises 9-32, solve the system. If a system has one unique solution, write the solution set. Otherwise, determine the number of solutions to the system, and determine whether the system is inconsistent, or the equations are dependent. (See Examples 2-5)
3
x
=
5
y
−
z
+
13
−
x
−
y
−
z
=
x
−
3
5
x
+
y
=
3
y
−
3
z
−
4
16. Solve each of the following equations for x.
(a) 42x+1 = 64
(b) 27-3815
(c) 92. 27² = 3-1
(d) log x + log(x - 21) = 2
(e) 3 = 14
(f) 2x+1 = 51-2x
11. Find the composition fog and gof for the following functions.
2
(a) f(x) = 2x+5, g(x) = x²
2
(b) f(x) = x²+x, g(x) = √√x
1
(c) f(x) = -1/2)
9
9(x) =
х
=
-
X
Elementary Statistics: Picturing the World (7th Edition)
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