Q: The distance between two cities is ninety miles, and a woman drives from one city to the other at a rate of 45 mph. At what rate must she return if the total travel time is three hours and forty

minutes?
27 mph
45 mph
54 mph

A: 1st leg DATA:
distance = 90 mi ; rate = 45 mph ; time = d/r = 2 hrs.
- -
2nd leg DATA:
distance = 90 mi ; time = [3 2/3 - 2] = 1 2/3 hrs; rate = 90/(5/3) = 54 mph
- - - -
Ans: 54 mph
======================
Cheers,
Stan H.

manimic|Points 140|

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Asked 8/9/2013 3:06:58 PM

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What is the solution set of (x - 2)(x - 3) = 2?
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Question

Not Answered

Updated 7/2/2014 3:02:34 AM

5 Answers/Comments

(x - 2)(x - 3) = 2

x^2 - 3x - 2x + 6 = 2

x^2 - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1 or x = 4

The solution set of (x - 2)(x - 3) = 2 is {1, 4}

x^2 - 3x - 2x + 6 = 2

x^2 - 5x + 4 = 0

(x - 1)(x - 4) = 0

x = 1 or x = 4

The solution set of (x - 2)(x - 3) = 2 is {1, 4}

Added 7/2/2014 2:45:51 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by jeifunk [7/2/2014 3:24:17 AM]

2x(x - 1) = 3

2x^2 - 2x - 3 = 0

a = 2, b = -2, c = -3

b^2 - 4ac = (-2)^2 - 4(2)(-3) = 4 + 24 = 28

x = (2 ± sqrt 28)/4

= (2 ± 2 sqrt 7)/4

= (1 ± sqrt 7)/2

2x^2 - 2x - 3 = 0

a = 2, b = -2, c = -3

b^2 - 4ac = (-2)^2 - 4(2)(-3) = 4 + 24 = 28

x = (2 ± sqrt 28)/4

= (2 ± 2 sqrt 7)/4

= (1 ± sqrt 7)/2

Added 7/2/2014 2:49:08 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by jeifunk [7/2/2014 3:24:40 AM]

y(y + 4)(y - 6) = 0 is a quadratic equation. FALSE.

y(y + 4)(y - 6) = 0

y(y^2 - 2y - 24) = 0

y^3 - 2y^3 - 24y = 0 which is not a quadratic equation.

y(y + 4)(y - 6) = 0

y(y^2 - 2y - 24) = 0

y^3 - 2y^3 - 24y = 0 which is not a quadratic equation.

Added 7/2/2014 2:52:25 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by jeifunk [7/2/2014 3:24:48 AM]

The radius of the circle whose equation is x^2 + y^2 = 9 is 3.

Added 7/2/2014 3:01:16 AM

This answer has been confirmed as correct, not copied, and helpful.

Confirmed by jeifunk [7/2/2014 3:25:06 AM]

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