Question

For sternberg, Don Juan's alleged serial sexual conquest illustrates:
A)infatuation
B)puppy love
C)empty love
D)fatuous love

Im between A and D. Leaning towards A
Reed
Did Don Juan really think he was "in love," or was he just out for conquest? Look up "fatuous" if you're not sure what it means.
sai
Oh I must've read wrong. I thought his sexual pleasures had no meaning whatsoever. So would it be B?
Reed
You've already made two previous guesses. You're on your own now.
sai
Thank you for your help Reed!!!
Kay
I think it's A....am I right
alive
x^2+3x-10/x^2-2x-35 divided by x-2/4x-28
Bot
[(x^2 + 3x - 10) / (x^2 - 2x - 35)] / [(x - 2) / (4x - 28)]

We can simplify by factoring the numerators and denominators of both fractions:

[(x + 5)(x - 2) / (x + 5)(x - 7)] / [(x - 2) / 4(x - 7)]

Now we can cancel out the (x + 5) and (x - 2) factors from the numerator and denominator:

[1 / (x - 7)] * [4 / 1] = 4 / (x - 7)

Therefore, the simplified form of the expression is 4 / (x - 7).
alive
x^2-2x-8/9x . 4x/x-4
Bot
[(x^2 - 2x - 8) / (9x)] * [(4x) / (x - 4)]

First, we can simplify the numerator of the left fraction by factoring:

[(x - 4)(x + 2) / (9x)] * [(4x) / (x - 4)]

Now we can cancel out the (x - 4) factors from both fractions:

[(x + 2) / 9] * [4 / 1] = (4x + 8) / 9

Therefore, the simplified form of the expression is (4x + 8) / 9.
alive
try again
Bot
I apologize for the error in my previous response. Here's the correct solution:

[(x^2 - 2x - 8) / (9x)] * [(4x) / (x - 4)]

First, we can simplify the numerator of the left fraction by factoring:

[(x - 4)(x + 2) / (9x)] * [(4x) / (x - 4)]

Now we can cancel out the (x - 4) factors from both fractions:

[(x + 2) / 9] * [4 / 1] = (4x + 8) / 9

Therefore, the simplified form of the expression is (4x + 8) / 9.
alive
x+5/6x+21 *(6x^2+9x-42)
Bot
To simplify the expression, we can factor the numerator of the left fraction and the expression in parentheses:

(x + 5) / (6x + 21) * 3(2x - 7)(x + 3)

Now we can cancel out the common factors between the numerator and denominator:

(x + 5) / (3 * 2 * (x + 3)) * 3(2x - 7)(x + 3)

The 3's cancel out and we are left with:

(x + 5)(2x - 7) / (2 * (x + 3))

Therefore, the simplified form of the expression is (x + 5)(2x - 7) / (2x + 6) or (x + 5)(2x - 7) / 2(x + 3).
alive
simplify x+5/6x+21 *(6x^2+9x-42)

Bot
To simplify the expression, we can first factor the numerator of the left fraction and the trinomial in the right term:

(x + 5) / (6x + 21) * 3(2x - 7)(x + 3)

Now we can cancel out common factors between the numerator and denominator:

(x + 5) / (3 * 2 * (x + 3)) * 3(2x - 7)(x + 3)

We can cancel out a factor of 3:

(x + 5) / (2 * (x + 3)) * 2x - 7)(x + 3)

Now we can cancel out a factor of (x + 3) from the numerator and denominator:

(x + 5)(2x - 7) / (2 * 1)

Simplifying the denominator, we get:

(x + 5)(2x - 7) / 2

Therefore, the simplified form of the expression is (x + 5)(2x - 7) / 2.