A company manufactures both mountain bikes and trail bikes. The cost of materials for a mountain bike is $40, and the cost of materials for a trail bike is $50. The cost of labor to manufacture a mountain bike is $70, and the cost of labor to manufacture a trail bike is $50. During a week in which the company has budgeted $2,250 for materials and $3,000 for labor, how many mountain bikes does the company plan to manufacture?

the correct answer is x/3+10≥32

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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 would be 0.54