One cupcake weighs 3 1/2 ounces how many cupcakes are there in 28 ounce package
1 answer:
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Answer:
x = 1/(a-b)
Step-by-step explanation:
The given equation is ax = bx + 1
Collecting like terms:
ax - bx = 1
Factorizing x out of the equation:
x(a - b) = 1
Dividing both sides by (a - b):
Therefore, x is related to the difference of a and be by the equation
x = 1/(a-b) where a - b is the difference of a and b
The first limit is known as a left-hand limit. We're approaching x = 3 from the left. This means we start with values smaller than x = 3, say x = 2.5 and move closer to x = 3.
Because x is starting off smaller than 3, we use the first piece of the piecewise function. This is the piece that corresponds to x < 3. So we plug x = 3 into that piece to get
2x^2 - x = 2(3)^2 - 3 = 2(9) - 3 = 18 - 3 = 15
So the result for the left-hand limit is 15.
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The right hand limit will have us start on the other side of x = 3. We start at x = 3.5 and move closer to x = 3. So we'll use the
portion.
Plug x = 3 into the second piece to get
3 - x = 3 - 3 = 0
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The result of the left-hand limit was 15
The result of the right-hand limit was 0
The fact that the results do not match up means that the overall limit at x = 3 does NOT exist.
Because x is starting off smaller than 3, we use the first piece of the piecewise function. This is the piece that corresponds to x < 3. So we plug x = 3 into that piece to get
2x^2 - x = 2(3)^2 - 3 = 2(9) - 3 = 18 - 3 = 15
So the result for the left-hand limit is 15.
----------------------------------------------------------
The right hand limit will have us start on the other side of x = 3. We start at x = 3.5 and move closer to x = 3. So we'll use the
Plug x = 3 into the second piece to get
3 - x = 3 - 3 = 0
--------------------------------------------------------------------------
The result of the left-hand limit was 15
The result of the right-hand limit was 0
The fact that the results do not match up means that the overall limit at x = 3 does NOT exist.