If the cost, c(x), for manufacturing x units of a certain product is given by c(x)=x^2-14x+74, find the number of units manufactured at a cost of $9050

So for this, since C(x) is the cost, and we are given the cost of $9050, we will plug 9050 into C(x) and solve for x:

So for this, I will be completing the square. Firstly, subtract 74 on both sides of the equation:

Next, we want to make the right side of the equation a perfect square. To find the constant of this soon-to-be perfect square, you need to divide the x coefficient by 2, square the quotient, then add the result on both sides of the equation. In this case:

-14 ÷ 2 = -7, (-7)² = 49

Next, factor the left side:

Next, square root both sides:

Next, add 7 to both sides:

Next, solve the left side twice. Once with the plus symbol, once with the minus symbol:

Since we cannot have negative units in this context, at the cost of $9050 you can manufacture 102 units.

answer: there are x+184 pages in olivia's book.

step-by-step explanation:

let the total number of pages in the book which olive has already read be x.

then if olive has 184 pages left to read, then the total number of pages are in olive's book= pages she has read+pages she has left to read

therefore, the total number of pages in olivia's book=

hence, there are x+184 pages in olivia's book.

maybe showing the graph would

step-by-step explanation:

-387129 iq