Hello!
Use the slope formula along with provided points to solve for the slope.
We can use the points (-4, -1) and (0, -3) and plug these values into the equation:
Step-by-step explanation:
step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.
step 2. we "can" use long division but synthetic division is easier!
step 3. 1 4 23 -34 7
4. 4. 27. -7.
4 27. -7. 0 (must get 0)
step 4. so the factors are (x - 1)(4x^2 + 27x - 7).
step 5. please note if you multiply these factors together you will get the original polynomial!
Answer:
6 units long.
Step-by-step explanation:
Given:
A polygon drawn on a graph.
In order to determine the distance of the horizontal line at the top, we find the coordinates of the end points and then use distance formula to find the exact distance.
Let us label the polygon as ABCD as shown below. AB is the length of the horizontal line.
Coordinates of A are 
as seen in the graph.
Coordinates of B are 
as seen in the graph.
Now, distance formula for two points 
is:
Therefore, the horizontal line at the top is 6 units long.
Answer:
- Implied population is all listeners of the radio talk show
- the variable is opinion of a listener
- Yes, bias is voluntary response. Those with the strongest opinions are most likely to call in.
Step-by-step explanation:
Radio talk show host asked listeners to respond therefore the population is all listeners of the radio talk show.
The variable is the response "yes" or "no"
There is voluntary response bias, because the respondents are volunteered to answer, therefore sample is consisted of self-selected listeners.
