F(x) = g(x) when the values in the two table columns are equal. That is the case for x=0 and x=1, the two correct choices from your answer list.
Answer:
(x - 5)² = 41
Step-by-step explanation:
* Lets revise the completing square form
- the form x² ± bx + c is a completing square if it can be put in the form
(x ± h)² , where b = 2h and c = h²
# The completing square is x² ± bx + c = (x ± h)²
# Remember c must be positive because it is = h²
* Lets use this form to solve the problem
∵ x² - 10x = 16
- Lets equate 2h by -10
∵ 2h = -10 ⇒ divide both sides by 2
∴ h = -5
∴ h² = (-5)² = 25
∵ c = h²
∴ c = 25
- The completing square is x² - 10x + 25
∵ The equation is x² - 10x = 16
- We will add 25 and subtract 25 to the equation to make the
completing square without change the terms of the equation
∴ x² - 10x + 25 - 25 = 16
∴ (x² - 10x + 25) - 25 = 16 ⇒ add 25 to both sides
∴ (x² - 10x + 25) = 41
* Use the rule of the completing square above
- Let (x² - 10x + 25) = (x - 5)²
∴ (x - 5)² = 41
Answer:
Step-by-step explanation:
Data sets are a collection of numbers related by a topic. The three ways to work with data sets include mean, median, and mode. The mean is the average of the data set, the median is the middle of the data set, and the mode is the number or value that occurs most often in the data set.
Answer:
Independent
Step-by-step explanation:
Dependent Sampling:
Dependent sampling is one in which the individuals in one sample are used to determine the individuals in the other sample.
But the third dash graders are divided into two groups independent of each other.
So the sampling is independent.
It is qualitative because it is showing quality irrespective of the number of students .
Quantitative Sampling is one in which the results change with the number of the individuals / tests etc. But in this experiment the number of the students is fixed so it is showing quality rather than quantity.
Answer:
The direct distance between the birds is 12.64 miles.
Step-by-step explanation:
We have, one bird flew 12 miles west and another bird flew 4 miles north. It is required to find the direct distance between the birds. It means we need to find the resultant of two displacement. It can be given by :
So, the direct distance between the birds is 12.64 miles.
