For Exercises 75-76, the given function values satisfy a function defined by f ( x ) = a x 2 + b x + c . a. Set up a system of equations to solve for a , b , and c . b. Use a graphing utility to find the reduced row-echelon form of the augment matrix. c. Write a function of the form f ( x ) = a x 2 + b x + c that fits the data. f ( − 3 ) = − 7.28 f ( − 1 ) = 3.68 f ( 10 ) = 18.2
For Exercises 75-76, the given function values satisfy a function defined by f ( x ) = a x 2 + b x + c . a. Set up a system of equations to solve for a , b , and c . b. Use a graphing utility to find the reduced row-echelon form of the augment matrix. c. Write a function of the form f ( x ) = a x 2 + b x + c that fits the data. f ( − 3 ) = − 7.28 f ( − 1 ) = 3.68 f ( 10 ) = 18.2
Solution Summary: The author explains the linear system of equations to solve for a, b, and c.
1) Express these large and small numbers from the Read and Study section in scientific
notation:
(a) 239,000 miles
(b) 3,800,000,000,000 sheets of paper
(c) 0.0000000000000000000000167 grams
2) Find all values for the variable x that make these equations true.
(a) 5x = 1
(b) 3x = 1/1
9
(c) 4* = 11/
4
(e) 4* = 64
(g) 10x = 1,000,000
(d) 3x=-3
(f) 2x =
=
8
(h) 10x = 0.001
(b)
4) Find an equation to fit each of the following graphs:
(a)
20
20
18
16
14
12
10
8
6
4
2
24
22
20
18
16
14
12
10
8
16
A
2
-3 -2
-1-0
2
3
4.
-1
0
1
2
3.
-2
-2
3) Which of the following are equivalent to 3? (There may be more than one that is
equivalent!)
-1
(a) (9)¯¹
3.
(b) (-3)-1
(c) (-3)
-1
(d) -(¯3)
(e) 11
3-1
(f) 3-4
Chapter 6 Solutions
Aleks 360 Access Card (18 Weeks) for College Algebra
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