Abotanist is using two types of plants for an experiment. she writes inequalities to model the constraints on the number of each type of plant she can use. she uses linear programming to find the vertex of the feasible region that results in the minimum value, in dollars, of the cost function. if that vertex is (5, 39), what do the coordinates represent?
buying five of one type of plant and 39 of the other type of plant results in the lowest cost.
buying five of each type of plant costs $39, which is the lowest possible cost.
the lowest possible cost of the plants is $5, which occurs when 39 of each type of plant are bought.
the lowest possible cost of the plants is $5, which occurs when a total of 39 plants are bought.

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

In tossing one coin 10 times, what are your chances for tossing a head? a tail? 2. in tossing one coin 100 times, what are your chances for tossing a head? a tail? 3. in tossing one coin 200 times, what are your chances for tossing a head? a tail? deviation = ((absolute value of the difference between expected heads and observed heads) + (absolute value of the difference between expected tails and observed tails)) divided by total number of tosses. this value should always be positive. 4. what is the deviation for 10 tosses? 5. what is the deviation for the 100 tosses? 6. what is the deviation for 200 tosses? 7. how does increasing the total number of coin tosses from 10 to 100 affect the deviation? 8. how does increasing the total number of tosses from 100 to 200 affect the deviation? 9. what two important probability principles were established in this exercise? 10. the percent of occurrence is the obtained results divided by the total tosses and multiplied by 100%. toss the coins 100 times and record your results. calculate the percent occurrence for each combination. percent head-head occurrence: percent tail-tail occurrence: percent head-tail occurrence:

What is x and y intercepts for y=x+7