In Exercises 24–29 , solve by Cramer’s rule, where it applies − x 1 − 4 x 2 + 2 x 3 + x 4 = − 32 2 x 1 − x 2 + 7 x 3 + 9 x 4 = 14 - x 1 + x 2 + 3 x 3 + x 4 = 11 x 1 − 2 x 2 + x 3 − 4 x 4 = − 4
In Exercises 24–29 , solve by Cramer’s rule, where it applies − x 1 − 4 x 2 + 2 x 3 + x 4 = − 32 2 x 1 − x 2 + 7 x 3 + 9 x 4 = 14 - x 1 + x 2 + 3 x 3 + x 4 = 11 x 1 − 2 x 2 + x 3 − 4 x 4 = − 4
Exercises 38–40 will help you prepare for the material covered in
the first section of the next chapter.
In Exercises 38-39, simplify each algebraic expression.
38. (-9x³ + 7x? - 5x + 3) + (13x + 2r? – &x – 6)
39. (7x3 – 8x? + 9x – 6) – (2x – 6x? – 3x + 9)
40. The figures show the graphs of two functions.
y
y
201
10-
....
-20-
flx) = x³
glx) = -0.3x + 4x + 2
Classify the quadratic forms in Exercises 9–18. Then make a
change of variable, x = Py, that transforms the quadratic form
into one with no cross-product term. Write the new quadratic
form. Construct P using the methods of Section 7.1.
11. 2x² + 10x1x2 + 2x3
In Exercises 20–21, solve each rational equation.
11
20.
x + 4
+ 2
x2 – 16
-
x + 1
21.
x? + 2x – 3
1
1
x + 3
x - 1
||
Algebra and Trigonometry: Structure and Method, Book 2
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