The cafeteria staff asked 80 students to name their favorite cafeteria food.
Favorite Cafeteria Food
Main Dish
Number
egg rolls
32
enchiladas
20
pasta
12
vegetable soup
16
Based on this data, what is the probability
that the next student asked will name
vegetable soup as his favorite cafeteria
food?

answer

you start with $5 and save $10 a week until you have at least $45wer

step-by-step explanation:

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.