Answer:
Step-by-step explanation:
Given
Required
Determine the type of roots
Represent Discriminant with D; such that
D is calculated as thus
And it has the following sequence of results
When 
then the roots of the quadratic equation are real but not equal
When 
then the roots of the quadratic equation are real and equal
When 
then the roots of the quadratic equation are complex or imaginary
Given that ; This means that and base on the above analysis, we can conclude that the roots of the quadratic equation are complex or imaginary
If the cylinder is closed at both ends the formula is
πdh + 2π(d/2)^2 where h = height and d = diameter
Answer:
1/20 or 0.05
Step-by-step explanation:
Assuming that all five posters are different, the number of ways to randomly place those posters is given by:
If we want the largest to be in the center and the next largest to be on its left, two poster will have a set position and only three could be randomized:
Therefore, the probability is:
The probability is 1/20 or 0.05.
The rate of change which is also the ratio of the rise to the run value of a graph.
- Rate of change = 7.5
- Steeper slope if rate of change = $10
- Steeper slope if amount owed = $40
Rate of change :
Rise / Run
From the graph :
y2 = - 60 ; y1 = 0 ; x2 = 0 ; x1 = 8
Rise = y2 - y1 = (-60 - 0) = - 60
Run = x2 - x1 = (0 - 8) = - 8
Rate of change = - 60 ÷ - 8 = 7.5
Hence, Devon's debt changes by 7.5 with respect to x
B.).
If Devon paid $10 every week instead of $7.5
- He would be able to pay his debt more quickly
- Hence, leading to a steeper slope on the graph
C.)
If Devon only had owed $40
- Debt will be lesser, meaning that repayment time will be lower
- At the same number of weeks, the graph will have a steeper slope.
Therefore, rate of change gives information about the slope of a graph, higher rate of change values results in steeper slopes.
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