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555-605 (Medium)|   Geometry|      
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AbdurRakib
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches Updated on: 10 Jun 2016, 15:24
Originally posted by AbdurRakib on 10 Jun 2016, 04:14.
Last edited by AbdurRakib on 10 Jun 2016, 15:24, edited 3 times in total.
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!

Difficulty:

35% (medium)

Question Stats:

64% (01:11) correct 36% (01:10) wrong based on 173 sessions

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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches the x-axis in how many places?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4
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C
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches 10 Jun 2016, 06:14
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AbdurRakib
On a two-dimensional coordinate plane, the line y = touches the x-axis in how many places?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4
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Please edit the stem and provide the missing info. Thank you.
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AbdurRakib
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches 10 Jun 2016, 10:38
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Bunuel
AbdurRakib
On a two-dimensional coordinate plane, the line y = touches the x-axis in how many places?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4

Please edit the stem and provide the missing info. Thank you.
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Edited already..Thank you
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches 10 Jun 2016, 15:19
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AbdurRakib
On a two-dimensional coordinate plane, the line y = x^2 - y^3 touches the x-axis in how many places?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4
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x-intercept of y = x^2 - y^3 is at (0,0). The answer must be B. Also, y = x^2 - y^3 is NOT a line. The question is flawed.
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches 10 Jun 2016, 15:39
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AbdurRakib
On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches the x-axis in how many places?

(A) 0

(B) 1

(C) 2

(D) 3

(E) 4
Show more

Apparently it's y = x^2 - x^3 instead of y = x^2 - y^3.

In this case: the x-intercept is the value(s) of x for y = 0.

0 = x^2 - x^3;
0 = x^2(1 - x);
x = 0 or x = 1.

Answer: C.
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On a two-dimensional coordinate plane, the line y = x^2 - x^3 touches 25 Dec 2022, 13:12
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