The profit that the vendor makes per day by selling x pretzels is given by the function Upper P (x )equals negative 4 x squared plus 2 comma 400 x minus 400. Find the number of pretzels that must be sold to maximize profit.

The number of pretzels that must be sold to maximize profit is 300.

Step-by-step explanation:

The daily profit of selling x pretzels is given by the following equation:

Vertex of a quadratic function:

Suppose we have a quadratic function in the following format:

It's vertex is the point

In which

If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is

Find the number of pretzels that must be sold to maximize profit.

This is the x of the vertex.

We have that:

So

Then

The number of pretzels that must be sold to maximize profit is 300.

hello! just here for points! though i wish i knew!

(a) common ratio in the given sequence is, 3

(b) push ups will do kendall do on the 20th week

step-by-step explanation:

geometric sequence is a sequence of numbers that follows a pattern were the next term is found by multiplying by a constant called the common ratio(r)

(a)

given the sequence: 6 , 18 , 54 , 162 ,

this sequence is geometric sequence where each term is 3 times the previous term.

therefore,

common ratio(r) = 3.

(b)

a formula for nth term of geometric sequence is given by;

,   where r is the common ratio between the successive terms and is the first term,

to find how many push ups will kendall do on the 20th week.

here. n = 20th term.

in the given sequence first term

then;

simplify:

therefore, push ups will do kendall do on the 20th week