Answer:
-12
Step-by-step explanation:
2(6a-2b)-8(-2)
=2[6(-1)-2(4)]+16
=2[-6-8]+16
=2[-14]+16
=-28+16
=-12
The given statement is false because it isn't an empty set!
<u>Step-by-step explanation:</u>
We have following sets of inequalities:

From
we get ,

Therefore solution set is x=2.
Now, for
we get ,

Therefore solution set is x>2.
For
we get ,

Therefore solution set is x<2.
Now, the union of x=2, x<2 & x>2 is -∞<x<∞. i.e. all possible values of x. And so above statement is false because it isn't an empty set!
Answer:
(x^3+2x^2)/(3x-9)
Step-by-step explanation:
Answer:
a straight line i think is always 180 so i think the answer is A. 81
Step-by-step explanation:
Answer:
(a) y = 9/4x -1/4
(b) (-2, -2), (-2, 2)
(c) see below
Step-by-step explanation:
(a) The derivative can be found from ...
2y·y' = 3x² +6x
At (x, y) = (1, 2), this is ...
4y' = 9
y' = 9/4
so the equation of the tangent is ...
y = (9/4)(x -1) +2
y = (9/4)x -1/4
__
(b) At y' = 0, we have ...
0 = 3x² +6x = 3x(x +2)
This says y' = 0 at x=0 or x=-2. (x = 0 is an extraneous solution.)
At x = -2, we have ...
y² = (-2)³ +3(-2)² = -8+12 = 4
y = ±2
So, the horizontal tangent points are (x, y) = (-2, ±2).