Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN: 9780134463216
Author: Robert F. Blitzer
Publisher: PEARSON
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Question

please solve the wrong answers on the paper

Entered
Answer Preview
Result
15
9.
(15/2)*(x^2)+(9/2)*x+1
+
-x + 1
correct
2
(-3/2)*(x^2)-(43/2)*x+8
-3
2
43
-x + 8
incorrect
2
-3
3
(-3/2)*(x^2)-(3/2)*x
correct
-
2
9с — 43b — За
+ x
15с — 3b — За
(x^2)*[(15*c-3*b-3*a)/2]+x*[(9*c-43*b-3*a)/2]+8*b+c
+ 86 + c
incorrect
At least one of the answers above is NOT correct.
Let T: P3 → P3 be the linear transformation such that
T(-2а?) %— За? + Зӕ, Т(-0.5х + 3) — За2 + 4аг — 1, T(5а? + 1) —- 32 +1.
%3D
Find T(1), T(x), T(x2), and T(ax? + bx + c), where a, b, and c are arbitrary real numbers.
T(1) = 15/2x^2 + 9/2 x + 1
T(x) = -3/2 x^2 - 43/2x + 8
T(a² :
-3/2 х^2 - 3/2х
T(ax? + bx + c) =
х^2(15с-3b-За)/2) + x(9с - 43b - 3а)/2) + (8b +с)
expand button
Transcribed Image Text:Entered Answer Preview Result 15 9. (15/2)*(x^2)+(9/2)*x+1 + -x + 1 correct 2 (-3/2)*(x^2)-(43/2)*x+8 -3 2 43 -x + 8 incorrect 2 -3 3 (-3/2)*(x^2)-(3/2)*x correct - 2 9с — 43b — За + x 15с — 3b — За (x^2)*[(15*c-3*b-3*a)/2]+x*[(9*c-43*b-3*a)/2]+8*b+c + 86 + c incorrect At least one of the answers above is NOT correct. Let T: P3 → P3 be the linear transformation such that T(-2а?) %— За? + Зӕ, Т(-0.5х + 3) — За2 + 4аг — 1, T(5а? + 1) —- 32 +1. %3D Find T(1), T(x), T(x2), and T(ax? + bx + c), where a, b, and c are arbitrary real numbers. T(1) = 15/2x^2 + 9/2 x + 1 T(x) = -3/2 x^2 - 43/2x + 8 T(a² : -3/2 х^2 - 3/2х T(ax? + bx + c) = х^2(15с-3b-За)/2) + x(9с - 43b - 3а)/2) + (8b +с)
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