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

Oh I must've read wrong. I thought his sexual pleasures had no meaning whatsoever. So would it be B?

Thank you for your help Reed!!!

x^2+3x-10/x^2-2x-35 divided by x-2/4x-28

[(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).

x^2-2x-8/9x . 4x/x-4

[(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.

try again

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.

x+5/6x+21 *(6x^2+9x-42)

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).