The graph of the function f(x) = (x +2)(x + 6) is shown below.

on a coordinate plane, a parabola opens up. it goes through (negative 6, 0), has a vertex at (negative 4, negative 4), and goes through (negative 2, 0).

what is true about the domain and range of the function?

the domain is all real numbers, and the range is all real numbers greater than or equal to –4.
the domain is all real numbers greater than or equal to
–4, and the range is all real numbers.
the domain is all real numbers such that –6 ≤ x ≤ –2, and the range is all real numbers greater than or equal to –4.
the domain is all real numbers greater than or equal to
–4, and the range is all real numbers such that –6 ≤ x ≤ –2.

Ten members of balin's soccer team ran warm ups for practice. each member ran the same distance. their combined distance was 5/6 of a mile. to find the distance that each member ran, balin wrote the expression below.

Amachine that produces a special type of transistor (a component of computers) has a 2% defective rate. the production is considered a random process where each transistor is independent of the others. (a) what is the probability that the 10th transistor produced is the first with a defect? (b) what is the probability that the machine produces no defective transistors in a batch of 100? (c) on average, how many transistors would you expect to be produced before the first with a defect? what is the standard deviation? (d) another machine that also produces transistors has a 5% defective rate where each transistor is produced independent of the others. on average how many transistors would you expect to be produced with this machine before the first with a defect? what is the standard deviation? (e) based on your answers to parts (c) and (d), how does increasing the probability of an event a↵ect the mean and standard deviation of the wait time until success?

If a=0.333333 and b=0.55555, what is the value of a+b