Answer:
1/4 of the full container remains
Step-by-step explanation:
Step 1: Half the milk is poured out
i.e 1/2 of the milk remains
Step 2: 1/3 of what remains is poured out --> 2/3 of the remaining is not poured out.
Hence amount remaining after step 2 = 2/3 x 1/2 = 1/3 of the total
Step 3: 1/4 of what remains is poured out --> 3/4 of the remaining is not poured out.
Hence amount remaining after step 3 = 3/4 x 1/3 = 1/4 of the full container remains
7/12 all you need to do is figure out the lowest common denominator and multiply it, then simply add them together.
Answer:
Central tendency and standard deviation both require mutual understanding of the proletariat functions of the hypothetical parabola, which in turn creates a non-linear function between both of the various data sets. Also, they create the basis for totalitarian graphing sets because complex theorems are infinite.
Do you need to solve for x?
As the both equal y, they must both equal each other so
-2x+7=5x-7
Add 2x to both sides
7=7x-7
Add 7 to both sides
14=7x
Divide both sides by 7
2=x
X=2
Part A
Either Nathan picked 0, or Sonia picked 0, or both.
This is because multiplying nonzero numbers together gets a nonzero result. So one of them must have picked 0.
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Part B
It's the same idea as part A. It's not clear what the nonzero values are, but one (or more) person picked 0 as their secret number.
If they picked something like 1, 2 and 3, then the product is 1*2*3 = 6 which is nonzero and the product is larger than the three original values. This is because each value is 1 or larger. If someone picked a small decimal value like 0.1 then 0.1*2*3 = 0.6 is the product. It's closer to 0, but not 0 itself.
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Part C
Zero Product Property:
If m*n = 0, then either m = 0 or n = 0 or both.
This idea says that if the product of two numbers is 0, then at least one of the numbers must be 0 itself. It can be extended to three or more numbers.
This idea is useful when it comes to solving factored quadratic equations.
In the case of 2x^2 + 5x - 12, it factors to (2x-3)(x+4)
So using the zero product property, we can solve the quadratic equation like this
2x^2 + 5x - 12 = 0
(2x-3)(x+4) = 0
2x-3 = 0 or x+4 = 0
2x = 3 or x = -4
x = 3/2 = 1.5 or x = -4
The use of the zero product property happens in step 3
