+x: 4 units of a and 5 units of b per hour
y: 3 units of a and 10 units of b per hour
- cost to run machine x $22/hr
cost to run machine y $25/hr
4x + 3y 90
5x + 10y = 150
x20
y20
x=number of hours machine x runs
y=number of hours machine y runs
the objective function is c =
x
done
intro

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

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.

the answer is 21%.