Answer:
{1, 5}
Step-by-step explanation:
the union is all the values in both sets. The only shared numbers in these two sets are 1, and 5. therefore, the union of the sets is {1, 5}
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Answer:
k = -2
Step-by-step explanation:
1. Substitute the point (2,-1) into the given equation 5x+ky=12. The first number is 2, the x-value. The second number is -1, the y-value.
5x + ky = 12
5(2) + k(-1) = 12
2. Simplify
5(2) + k(-1) = 12
10 + (-k) = 12
10 - k = 12
2. Isolate k
10 - k = 12
-k = 12-10
-k = 2 <= here multiply both sides by (-1)
k = -2
Answer:
Convert cenimeters to inches, then inches to feet, then feet to yards
Step-by-step explanation:
Let
x--------> volume of 50% fertilizer
y--------> volume of 30% fertilizer
we know that
x+y=160-----> x=160-y-----> equation 1
x*0.5+y*0.3=160*0.4-----> equation 2
substitute equation 1 in equation 2
[160-y]*0.5+0.3*y=63.8----> 77-0.35*y+0.25*y=63.8
0.10*y=13.2------> y=13.2/0.10----> y=132 gal
x=220-y----> x=220-132----> x=88 gal
the answer is
88 gal of 50% fertilizer
132 gal 30% fertilizer
2x + 3y = 18
3y = 18 -2x
y = (18/3) - (2/3)x
y = 6 - 2/3x
y =-2/3x + 6
