Aquadratic equation is shown below:

x2 − 8x + 13 = 0

which of the following is the first correct step to write the above equation in the form (x − p)2 = q, where p and q are integers?
subtract 5 from both sides of the equation

add 3 to both sides of the equation

add 5 to both sides of the equation

subtract 3 from both sides of the equation

The number of hours per week that the television is turned on is determined for each family in a sample. the mean of the data is 37 hours and the median is 33.2 hours. twenty-four of the families in the sample turned on the television for 22 hours or less for the week. the 13th percentile of the data is 22 hours. approximately how many families are in the sample? round your answer to the nearest integer.

Rewrite the following quadratic functions in intercept or factored form. show your work. y = x^2 + 7x + 10

Abucket of paint has spilled on a tile floor. the paint flow can be expressed with the function p(t) = 6(t), where t represents time in minutes and p represents how far the paint is spreading. the flowing paint is creating a circular pattern on the tile. the area of the pattern can be expressed as a(p) = 3.14(p)^2 part a: find the area of the circle of spilled paint as a function of time, or a[p(t)]. show your work. part b: how large is the area of spilled paint after 8 minutes? you may use 3.14 to approximate pi in this problem.