Answer
Find out the percent error in Annie's estimate .
To prove
Formula
![Percentage\ error = \frac{error\times 100}{exact\ value}](https://tex.z-dn.net/?f=Percentage%5C%20error%20%3D%20%5Cfrac%7Berror%5Ctimes%20100%7D%7Bexact%5C%20value%7D)
As error = approx value - exact value
As given
Annie estimates that the height of a bookcase is 78.25 in.
The actual height is 75.50 in.
approx value = 78.25 in.
actual value = 75.50 in.
error = 78 .25 - 75 .50
= 2.75
put in the formula
![Percentage\ error = \frac{2.75\times 100}{75.50}](https://tex.z-dn.net/?f=Percentage%5C%20error%20%3D%20%5Cfrac%7B2.75%5Ctimes%20100%7D%7B75.50%7D)
![Percentage\ error = \frac{27500}{7550}](https://tex.z-dn.net/?f=Percentage%5C%20error%20%3D%20%5Cfrac%7B27500%7D%7B7550%7D)
Percentage error = 3.64 % (approx)
Therefore the Percentage error be 3.64 % (approx).
Answer:
- Plan: separate the variable term from the constant term; divide by the coefficient of the variable.
- Steps: add 4 to both sides; collect terms; divide both sides by 3.
Step-by-step explanation:
The first step is to look a the equation to see where the variable is in relation to the equal sign, and whether there are any constants on that same side of the equal sign.
Here, the variable terms are on the left, and there is a constant there, as well. The plan for solving the equation is to eliminate the constant that is on the same side of the equation as the variable, then divide by the coefficient of the variable. To find that coefficient, we need to collect terms. In summary, the plan is to ...
- add 4 to both sides of the equation
- collect terms
- divide by the coefficient of the variable (3)
Executing that plan, the steps are ...
-2x -4 +5x +4 = 8 +4 . . . . add 4
3x = 12 . . . . . . . . . . . . . . . collect terms
x = 4 . . . . . . . . . divide by 3
Answer:
The discriminant of f is 92, and it has no real zeros
Step-by-step explanation:
The discriminant of a quadratic is
, where the quadratic is in the form
. The discriminant of this one is therefore:
![2^2-4(4)(6)=4-96=-92](https://tex.z-dn.net/?f=2%5E2-4%284%29%286%29%3D4-96%3D-92)
Since the square root of a negative number is imaginary, this quadratic has no real number zeros. Hope this helps!