Hey :)
The answer is 100.
The overall area will be the length times the width:
200 times 300 = 60000.
If the plot of land doubles in size, then the resulting area will be 120000. To get to 120000, the question is saying that the same number was added to both 200 and 300, which were then multiplied together. The equation will look like this:
(x+200) times (x+300) = 120000
Now, you will multiply these together in a process called FOIL (which means you multiply the first numbers in each parentheses, then the outside numbers, then the inside numbers, then the last numbers):
x^2 (this means x squared, or x times itself) + 300x + 200x + 600 = 120000
Then, you will add together like terms:
x^2 + 500x + 600 = 120000
Next, you will subtract 120000 from both sides to get 0 on one side of the equation:
x^2 + 500x - 6000 = 0
Next, you will essentially perform the opposite of FOIL (now you're trying to get the right side of the equation into two parentheses):
(x + 600) times (x - 100) = 0 (you can check if this is correct by performing FOIL and making sure that product is the previous equation)
Now, set both of the parentheses equal to 0 and solve:
x + 600 = 0 ----> x = -600x - 100 = 0 ----> x = 100
Lastly, you will have to choose which value for x satisfies the initial question. Since the question is asking for a value within the real world, a negative answer will not work (you cannot give someone -600 meters of land). So, the answer is 100.
Hope this helps! :)
Answer:
To evaluate f( -8), substitute x = - 8 into f(x)
f
(
−
8
)
=
(
−
8
)
2
−
3
(
−
8
)
⇒
f
(
−
8
)
=
64
+
24
=
88
Step-by-step explanation:
<h3>Answer: Statistic</h3>
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Explanation:
The fact that we have the phrasing "randomly-selected" in there is a big clue that we are working with a sample, and not a population. If 40 people represented the population, then we wouldn't be randomly selecting anyone. Everyone would be surveyed. No random process needed. We don't need to worry about the order of those surveyed.
However, we are applying a random selection process to form this sample. A <u>statistic</u> is some value that measures a sample. For instance, xbar is the sample mean which is a sample statistic. The xbar value estimates mu, which is a greek letter. Mu is the population mean and a population parameter.
To remember the difference between the two terms parameter and statistic, one useful memory trick is to think of it like this:
- <u>Statistic</u> and sample both start with s
- Population and parameter both start with p
As the name "statistics" implies, it is the study of how to estimate a population based on a sample. After gathering the sample, we compute a statistic, which in turn estimates a parameter. So that explains why your math course and textbook has that label.
Answer:
(-2, 3)
Step-by-step explanation:
The +5 represents shifting 5 units up, so we can add 5 to the y coordinate.
This gives us (-2, -2+5)=(-2, 3)