Ros is trying to find the solution(s) to the system {f(x)=βx3+2x2+xβ2g(x)=x2βxβ2.
roz wan...
Mathematics, 25.01.2020 12:31 marialion5278
Ros is trying to find the solution(s) to the system {f(x)=βx3+2x2+xβ2g(x)=x2βxβ2.
roz wants to find the solution(s) to this system. after analyzing the graph of the functions, roz comes up with the following list ordered pairs as possible solutions: (0,β2), (2,0), and (β1,0).
which work correctly verifies whether each of rozβs ordered pairs is a solution?
a. a solution to the system will be the intersection of f(x) and g(x) such that f(x)=g(y). roz must verify one of the following: f(0)=g(β2) and f(β2)=g(0); f(2)=g(0) and f(0)=g(2), or f(β1)=g(0) and f(0)=g(β1).
1. f(0)=β03+2(02)+0β2=β2; g(β2)=(β2)2β2β2=0 thus, (0,β2) is a solution.
2. f(2)=β23+2(22)+2β2=0; g(0)=02β0β2=2 thus, (2,0) is a solution.
3. f(β1)=β(β1)3+2(β1)2+(β1)β2=0; g(0)=02β0β2=2 thus, (β1,0) is not a solution.
b. a solution to the system will be the intersection of f(x) and g(x) such that f(x)=g(x). roz must verify that f(0)=g(0)=β2, f(2)=g(2)=0, and f(β1)=g(β1)=0 as follows:
1. f(0)=β03+2(02)+0β2=β2; g(0)=02β0β2=β2 thus, (0,β2) is a solution.
2. f(2)=β23+2(22)+2β2=0; g(2)=22β2β2=0 thus, (2,0) is a solution.
3. f(β1)=β(β1)3+2(β1)2+(β1)β2=0; g(β1)=(β1)2β(β1)β2=0 thus, (β1,0) is a solution.
c. a solution to the system will be the intersection of f(x) and g(x) such that f(x)=g(x). roz must verify that f(β2)=g(β2)=0, and f(0)=g(0)=2 or f(0)=g(0)=β1 as follows:
1. f(β2)=β23+2(22)+2β2=0; g(β2)=(β2)2β2β2=0 thus, (0,β2) is a solution.
2. f(0)=β03+2(02)β0+2=2; g(0)=02β0β2=2 thus, (2,0) is a solution.
3. since f(0)=g(0)=2, f(0) and g(0) cannot equal β1. thus, (β1,0) is not a solution.
d. a solution to the system will be the intersection of f(x) and g(x) such that f(x)=g(x). roz must verify that f(β2)=g(β2)=0, and f(0)=g(0)=2 or f(0)=g(0)=β1 as follows:
1. f(β2)=β23+2(22)+2β2=0; g(β2)=(β2)2β2β2=0 thus, (0,β2) is a solution.
2. f(0)=β03+2(02)β0+2=2; g(0)=02β0β2=2 thus, (2,0) is a solution.
since f(0)=g(0)=2, f(0) and g(0) cannot equal β1. thus, (β1,0) is not a solution.
Answers: 2
Mathematics, 21.06.2019 15:30
Which equation represents the line that passes through the points and (4, 10) and (2, 7)? y = 3/2x - 11y = 3/2x +4y = - 3/2x + 19y = - 3/2x + 16
Answers: 2
Mathematics, 21.06.2019 17:00
Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation
Answers: 1
Mathematics, 21.06.2019 21:20
Find the least common denominator for thesetvo rational expressions.n^2/n^2+4n+4 -3/n^2+7n+10
Answers: 2
Mathematics, 22.06.2019 00:30
Tyler reads 2/5 of a book on monday, 1/3 of it on tuesday, 2/9 of it on wednesday, and 3/4 of the remainder on thursday. if he still has 14 pages left to read on friday, how many pages are there in the book?
Answers: 3
Mathematics, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
History, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
Biology, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50
Mathematics, 06.05.2021 16:50