The amount of a chemical solution is measured to be 2 liters. What is the percent error of the measurement?
2 answers:
The complete question in the attached figure
we know that
2 liters may be 1.5 to 1.9 rounded up to 2
or 2.1 to 2.4 rounded down to 2
the biggest percent error would be between 2 and 1.5, which is a volume error of 0.5 liters
2 - 1.5 = 0.5 liters
percent error = (absolute error / quantity) * 100
percent error = [0.5/2] * 100% = 0.25 * 100% = 25%
the answer is the option C) 25%
we know that
2 liters may be 1.5 to 1.9 rounded up to 2
or 2.1 to 2.4 rounded down to 2
the biggest percent error would be between 2 and 1.5, which is a volume error of 0.5 liters
2 - 1.5 = 0.5 liters
percent error = (absolute error / quantity) * 100
percent error = [0.5/2] * 100% = 0.25 * 100% = 25%
the answer is the option C) 25%
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Answer:
-3, 1, 4 are the x-intercepts
Step-by-step explanation:
The remainder theorem tells you that dividing a polynomial f(x) by (x-a) will result in a remainder that is the value of f(a). That remainder will be zero when (x-a) is a factor of f(x).
In terms of finding x-intercepts, this means we can reduce the degree of the polynomial by factoring out the factor (x-a) we found when we find a value of "a" that makes f(a) = 0.
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For the given polynomial, we notice that the sum of the coefficients is zero:
1 -2 -11 +12 = 0
This means that x=1 is a zero of the polynomial, and we have found the first x-intercept point we can plot on the given number line.
Using synthetic division to find the quotient (and remainder) from division by (x-1), we see that ...
f(x) = (x -1)(x² -x -12)
We know a couple of factors of 12 that differ by 1 are 3 and 4, so we suspect the quadratic factor above can be factored to give ...
f(x) = (x -1)(x -4)(x +3)
Synthetic division confirms that the remainder from division by (x -4) is zero, so x=4 is another x-intercept. The result of the synthetic division confirms that x=-3 is the remaining x-intercept.
The x-intercepts of f(x) are -3, 1, 4. These are the points you want to plot on your number line.
