Answer:
Substitute –3 for x and 5 for h in the difference quotient.
Step-by-step explanation:
The difference quotient for the function f(x) is 21x² + 21xh + 7h² + 2. Now, we know that the difference quotient equal f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. The change in x is h = x₂ - x₁. So, if x changes from x = -3 to x = 2, where x₁ = -3 and x₂ = 2, h = x₂ - x₁ = 2 - (-3) = 2 + 3 = 5.
So to find the average rate of change of f(x) from x = -3 to x = 2, we substitute x = -3 and h = 5 into the difference equation f(x + h) - f(x) = 21x² + 21xh + 7h² + 2. Since, x starts at x = -3 and increases by 5 units to x = 2.
Answer:
24.76 mine
Step-by-step explanation:
The first thing is to calculate the area of the region, which we can calculate since we have the density and the population. The area would be the quotient between population and density:
260000/135 = 1925.93
The area would be 1925.93 square mine
We know that the area is given by:
A = pi * r ^ 2
we solve to r
r ^ 2 = A / pi
r ^ 2 = 1925.92 / 3.14
r ^ 2 = 613.3
r = 24.76
the radius is equal to 24.76 mine
Given:
Consider the given equation is
To find:
The solution of the equation for l.
Solution:
We have,
Substract 2W from both sides.
Divide both sides by 2.
Therefore, the correct option is 3.
Answer:
The bias most likely to be present in the survey results is;
Option A; This is question wording bias because the survey question attempts to influence subjects’ responses.
Step-by-step explanation:
A bias occurs when a group or outcome is intentionally or unintentionally favored over another group or outcome in the a general population.
There are two main types which are;
- Selection bias which includes; Non - response bias, non representative sample and voluntary bias
- Response Bias which includes wording bias, extreme responses, neutral responses e.t.c
Let's look at each of the options;
Option A; This is correct because what occurred is that the concerned student by telling the adults adverse effect of plastics in our environment, he is indirectly influencing the adults to have a bad mindset about the plastics. He is leading them on by the way he phrased the word to ask the question.
Option B; This is not the reason why it is a response bias. The reason it is a response bias is because he led them on with his wording of the question.
Option C; Like said in Option A & B above, the scenario is that of a response bias since they are giving answers.
Option D; Voluntary response bias is a type of non-response bias and so it is not correct here
