Answer:
The area of the region is 25,351 
.
Step-by-step explanation:
The Fundamental Theorem of Calculus:<em> if </em>
<em> is a continuous function on </em>![[a,b]](https://tex.z-dn.net/?f=%5Ba%2Cb%5D)
<em>, then</em>
where 
is an antiderivative of .
A function is an antiderivative of the function if
The theorem relates differential and integral calculus, and tells us how we can find the area under a curve using antidifferentiation.
To find the area of the region between the graph of the function 
and the x-axis on the interval [-6, 6] you must:
Apply the Fundamental Theorem of Calculus
#2
2x - 4y = -2
2x + 3y = -16
------------------subtract
-7y = 14
y = 14/-7
y = -2
2x - 4y = -2
2x - 4(-2) = -2
2x + 8 = -2
2x = -2 -8
2x = -10
x = -10/2
x = -5
answer x = -2 and y = -5
check:
2(-5)- 4(-2) = -2
-10 +8 = -2
-2 = -2.....true
2x + 3y = -16
2(-5)+3(-2) = -16
-10 + (-6) = -16
-16 = -16...true
You can see that if the small rectangle is 2/3 of the big triangle by the 4 and 6 that it gives you. If you divide 10 by 2 and multiply it by 3, you get the answer you need. which is 15.
Answer:
x^2 - 30 + 224 ≥ 0
the amount of cookies Jessica has more than Martha is at least two
Step-by-step explanation:
J + M = 30
x - 12 < 80
Answer:
(4,-3)
Step-by-step explanation:
If you graph this point, then it will be in the 3rd quadrant.
A 180 degree rotation will put it in the 1st quadrant.
And the extra 90 degrees will put in in the 4th quadrant, so we know that in (x,y), x is positive, and y is negative. then if you theoretically rotate it, since you are rotating it 90 degrees, 3 times, you will have to switch the x and y, since 3 is an odd number. so the final answer is (4,-3).
