Answer:
Let
- p : this triangle has two 45 degree angles
- q : it is a right triangle
Step-by-step explanation:
Denote
- r : if this triangle has two 45 degree angles then it is a right triangle
Then, r can be written as follows
Since
is a tautology, you get
and given that
it follows that the negation of r is
- " this triangle has two 45 degree angles and it is not a right triangle".
Then, the correct answer is C.
(60/30)(x^20/x^10)(y^24/y^12)
(2)(x^10)(y^12)
2x^10y^12
ANSWER
$28
EXPLANATION
The profit function is given as:

where x is the price of the T-shirt in dollars.
To find the profit on a T-shirt whose price is $15, we substitute x=15 into the function and simplify.

We simplify to get:



A parabola, a graph of a quadratic function, cannot have a maximum vertex and a minimum vertex at the same time because of the shape of the graph. A parabola is a u-shaped graph. The vertex of the parabola is the point where the u changes direction; if it was increasing, it starts to decrease, and if it was decreasing, it starts to increase. Since a parabola only changes direction once, there will either be a minimum or a maximum, not both.