A teacher works for a textbook company during the summer. She makes $35 per page to write the material and $25 per page to type it. The teacher would like to earn at least $3200, but does not want more than 120 pages of work. Let "x" represent the number of pages written and "y" represent the number of pages typed. Write a system of inequalities to represent this situation.

$35 x + $25 y ≥ $3200           x ≤ 120

Step-by-step explanation:

Because she needs to write before type the page, so that y≤x

∴ x≤120

$35 x + $25 y ≥ $3200           x ≤ 120

john earns $14.00 for two hours of work.

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.