Answer:
Step-by-step explanation:
y = mx + b
m = slope
so far what we know is
y = 1/2x + b
to find b we’ll plug in the point (2, 6)
6 = 1/2(2) + b
6 = 1 + b
b = 5
so now we plug in b to the equation to get
y = 1/2x + 5
The part D is the correct one...
Answer:
2x + 4y = 4
-8x + 8y = -16.
Step-by-step explanation:
We can find an equivalent system by multiply the 2 equations by 2.
x + 2y = 2 multiplied by 2 is 2x + 4y = 4.
Answer:
6 Chickens
Step-by-step explanation:
Let H represent the number of horses and C represent the number of chickens. Since there are 32 legs altogether this means that on equation to use would be given by:
2C + 4 H = 32 (Eq. 1)
Another equation can be made from the fact that there are 11 heads or 11 animals altogether which can be written as:
C + H = 11 (Eq. 2)
From Eq. 2, solve for the number of chickens:
C + H = 11
C = 11 - H (Eq. 3)
Substituting Eq. 3 in Eq. 1, the number of horses can be determined:
2 C + 4 H = 32
2 ( 11 − H ) + 4 H = 32
22 − 2 H + 4 H = 32
2H = 32 − 22
2 H = 10
H = 5 Eq.4
Putting Eq.4 in Eq.1
2C + 4*5 = 32
2C = 32 - 20
2C = 12
C = 12/2
C = 6
