The points where the 2 graphs intersect is where x = 0 and x = 2.
- 2 2
x = INT x dA / INT dA
0 0
INT dA = INT -x^2 + 4x + 3 - (x^2 + 3 ) dx = INT -2x^2 + 4x
= -2 x^3/3 + 2x^2
= 2.667 between 0 and 2
xdA = -2x^3 + 4x^2 INT xdA = -x^4/2 + 4x^3/3 = 2.667
centroid = 2.667 / 2.667 = 1 (x = 1)
D and B are both the answers
Answer:
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Step-by-step explanation:
<u><em>The correct question is </em></u>
Two friends are collecting cards. Frank has 6 more than half the number of cards as his friend. Together they have 42 cards. How many cards does each friend have?
Let
x ----> the number of cards that Frank has
y ----> the number of cards that his friend has
we know that
Together they have 42 cards
----> equation A
Frank has 6 more than half the number of cards as his friend
---> equation B
Solve the system by substitution
Substitute equation B in equation A
![\frac{y}{2} +6+y=42](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B2%7D%20%2B6%2By%3D42)
solve for y
![\frac{3}{2}y=42-6\\\\\frac{3}{2}y=36\\\\y=36(2)/3=24](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7Dy%3D42-6%5C%5C%5C%5C%5Cfrac%7B3%7D%7B2%7Dy%3D36%5C%5C%5C%5Cy%3D36%282%29%2F3%3D24)
<em>Find the value of x</em>
![x=\frac{24}{2} +6=18](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B24%7D%7B2%7D%20%2B6%3D18)
therefore
The number of cards Frank has is 18 and the number of cards his friend has is 24.
Answer:
it is 54
Step-by-step explanation:
i took the test and checked the answer
Answer:
greatest 9776410 smallest 1046779
Step-by-step explanation:
in smallest we cannot write 0 first because 0 has no units