The area of a square is (4a2 − 20a + 25) square units. determine the length of each side of the square by factoring the area expression completely. show your work. (5 points)
part b: the area of a rectangle is (9a2 − 16b2) square units. determine the dimensions of the rectangle by factoring the area expression completely. show your work. (5 points)

question 2:
an expression is shown below:

f(x) = 5x2 + 2x − 3

part a: what are the x-intercepts of the graph of f(x)? show your work. (2 points)

part b: is the vertex of the graph of f(x) going to be a maximum or minimum? what are the coordinates of the vertex? justify your answers and show your work. (3 points)

part c: what are the steps you would use to graph f(x)? justify that you can use the answers obtained in part a and part b to draw the graph. (5 points)

Option B) 0.797

Step-by-step explanation:

we know that

The probability of an event is the ratio of the size of the event space to the size of the sample space.  

The size of the sample space is the total number of possible outcomes  

The event space is the number of outcomes in the event you are interested in.  

so  

Let

x------> size of the event space

y-----> size of the sample space  

so

step 1

Find the  probability that a randomly selected person was female

In this problem we have

 ----> total females

 ---> total males plus total females

substitute

step 2

Find the  probability that a randomly selected person was was wearing brown shoes

In this problem we have

 ----> total brown shoes

 ---> total shoes

substitute

step 3

Find the  probability that a randomly selected person was either female or was wearing brown shoes

Adds the probabilities