Ms. smith has decided to open a hot dog stand. she has found that her daily costs are approximated by the following equation: c(x) = x2 – 40x + 610. c(x) is the cost in dollars to sell x hot dogs.
a) find the number of hot dogs she must sell to minimize her cost.
b) find that minimum cost.
c) what is ms. smith’s beginning cost each day for the hot dog stand?

Pj is decorating pupcakes for rocky's birthday party. her color scheme is black, purple, and green. she will use this spinner to determine the color of sprinkles on each pupcake. which model shows the probability of randomly landing on each color?

Find the domain of the following expression: 1/(√x)-2

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem