2/9 is the slope
Explanation:
8-4 = 4 over 10-1 = 9
Answer:
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Step-by-step explanation:
Answer:
what, its -9 so it'll be -8?
Step-by-step explanation:
Answer:
7 cookies
Step-by-step explanation:
We have 3 brothers
First , Second, Third
Let the total number cookies be represented by A
1 cookie = 1
Working backwards, we start from the third brother
If we work backwards
It means he gave everything away
We start from the youngest
He was given 1/2 of what was left and 1/2 a cookie
This means,
1/2 + 1/2 = 1
The second brother
He got half of what is left and 1/2 a cookies
Half of what is left from brother
= What the youngest brother got + 1/2 + 1/2 a cookie
= 1 + 1/2 + 1/2
= 1.5 + 1/2
= 2 cookies
For the first brother
He got 1/2 of the cookies + 1/2 cookie
= 1.5 × 2 + 1/2 + 1/2 cookies
= 3 1/2 + 1/2
= 4 cookies
The first brother got 4 cookies
The second brother got 2 cookies
The third broth got 1 cookies
The example for an inconsistent system of equations:
x + 2 y = 10 and x + 2 y = 20. If we try to solve it algebraically:
x = 10 - 2 y; 10 - 2 y + 2 y = 20; 10 = 20 ( not true ). We will with something that is not true. Graph of those equations shows 2 parallel lines. Therefore the system is inconsistent.
The system is dependent when we have equivalent equations. For example:
2 x + y = 5 and 4 x + 2 y = 10. If we try to solve this system, we will end up with: 0 = 0 ( true ). The graph of this system shows the same line. This system is dependent.
Finally, if we have just one solution for the system of equations then the system is independent. For example: x + y = 5 and - x + 2 y = 10. When we add those equations: 3 y = 15; y = 15 : 3; y = 5; x + 5 = 5; x = 0. So we have just one solution ( x , y ) = ( 0, 5 ). The system of equations is independent.