Answer:
6y=42-9x
y=42/6 - (9/6)x
y=7 - (3/2)x
where slope, m= -3/2 and intercept, c = 7
Answer:
Step-by-step explanation:
Let 
be the number of bags with 8 onions and let 
be the number of bags with 3 onions. We have the following system of equations:
Subtracting from both sides of the first equation, we get 
. Substitute this into the second equation:
Therefore, the number of 8-onion bags is:
Thus, the chef got 4 8-onion bags and 3 3-onion bags.
The distance between the two points will be given by:
d=√[(x-x1)^2+(y-y1)^2]
point z1=(3-2i) has the coordinates of (3,-2)
point z2=(5-8i) has the coordinates of (5,-8)
thus the distance between them will be:
d=√[(-8-(-2)²+(5-3)²)]
d=√[(-6)²+2²]
d=√(36+4)
d=√40
d=2√10
Answer:
60%
Step-by-step explanation:
$600 as a percentage of $1000
= (600/1000) x 100%
= 60%
Hope this helps!
Find rates of change until you find a constant.
dy/dx=1,2,3,4,5,6
d2y/dx2=1,1,1,1,1
So the acceleration, d2y/d2x, is constant. This means that this is a quadratic sequence of the form a(n)=an^2+bn+c. So we can set up a system of equations to solve for the values of a,b, and c. Using the first three points, (1,1), (2,2), and (3,4) we have:
9a+3b+c=4, 4a+2b+c=2, and a+b+c=1 getting the differences...
5a+b=2 and 3a+b=1 and getting this difference...
2a=1, so a=1/2 making 5a+b=2 become:
2.5+b=2, so b=-1/2, making a+b+c=1 become:
1/2-1/2+c=1, so c=1 so the rule is:
a(n)=0.5x^2-0.5x+1 or if you prefer to not have decimals
a(n)=(x^2-x+2)/2
