Explanation:
Quadratic Zeros: One Only
Priya Ravindran
What are the zeros of f(x) = x² - 10x+25?
OA. x= -5 and x = 5
O B. x = 5 only
OC. x = -5 and x = 10
O D. x = -5 only
We can find the zeros of the quadratic function f(x) = x² - 10x + 25 by setting f(x) equal to zero and solving for x:
x² - 10x + 25 = 0
This quadratic equation can be factored as:
(x - 5)² = 0
Using the zero product property, we can see that this equation is true when:
x - 5 = 0
So the only zero of f(x) is x = 5.
Therefore, the correct answer is option B: x = 5 only.
Priya Ravindran
In a newspaper, it was reported that the number of yearly robberies in Springfield in 2013 was 100, and then went down by 11% in 2014. How many robberies were there in Springfield in 2014?
If there were 100 robberies in Springfield in 2013 and the number of robberies went down by 11% in 2014, we can calculate the number of robberies in 2014 as follows:
Number of robberies in 2014 = Number of robberies in 2013 - 11% of Number of robberies in 2013
Using this formula, we get:
Number of robberies in 2014 = 100 - 0.11(100)
Number of robberies in 2014 = 100 - 11
Number of robberies in 2014 = 89
Therefore, there were 89 robberies in Springfield in 2014.