Answer: B) Infinitely many solutions; both equations are equivalent
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Work Shown:
x+y = 4 ... start with the first equation
x + (-x+4) = 4 ... replace y with (-x+4)
x-x+4 = 4
0x+4 = 4
0+4 = 4
4 = 4 ... this is a true statement regardless of what x you pick
So there are infinitely many solutions. Each solution (x,y) is of the form (x,-x+4). All solutions fall on the line y = -x+4 which is equivalent to x+y = 4. Note how we add x to both sides.
Or you could start with x+y = 4 and subtract x from both sides to get y = -x+4. Either way, we're dealing with the same equation which is why they both graph out the same line.
Answer:
Step-by-step explanation:
hello :
the n-ieme term is : An=A1×r^(n-1)
A1 the first term r : the common ratio
in this exercice : A1 =15 r = 1/3 n = 4
A4=15×(1/3)^(4) =15×4^4 =3840
Answer:
I believe the last answer is correct
Step-by-step explanation:
Both runners are gaining money
Answer:
Step-by-step explanation:
we know that
1) Sheila had 1 gallon of milk
2) she used 1/4 of a gallon of milk ------> 1-1/4-----> 3/4 gallon left
3) she used 1/6 of a gallon of milk------> 3/4-1/6---> (6*3-4*1)/24---> 14/24
14/24-----> 7/12 gallon