If the hot dog eating champion's goal is to eat 1 hot dog every 13 seconds, how many whole hot dogs does he expect to eat in 12
2 answers:
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For this case we have the following inequality:
3y - 2x> 8
The first thing we should do is to graph the function.
Then, see the set of points that are the solution of the inequality.
The solution set is given by the shaded region.
See attached image.
Answer:
Shaded region.
See attached image.
3y - 2x> 8
The first thing we should do is to graph the function.
Then, see the set of points that are the solution of the inequality.
The solution set is given by the shaded region.
See attached image.
Answer:
Shaded region.
See attached image.
answer:
Step-by-step explanation:
On this question we see that we are given two points on a certain graph that has a maximum point at 57 feet and in 0.76 seconds after it is thrown, we know can say this point is a turning point of a graph of the rock that is thrown as we are told that the function f determines the rocks height above the road (in feet) in terms of the number of seconds t since the rock was thrown therefore this turning point coordinate can be written as (0.76, 57) as we are told the height represents y and x is represented by time in seconds. We are further given another point on the graph where the height is now 0 feet on the road then at this point its after 3.15 seconds in which the rock is thrown in therefore this coordinate is (3.15,0).
now we know if a rock is thrown it moves in a shape of a parabola which we see this equation is quadratic. Now we will use the turning point equation for a quadratic equation to get a equation for the height which the format is , where (p,q) is the turning point. now we substitute the turning point
, now we will substitute the other point on the graph or on the function that we found which is (3.15, 0) then solve for a.
0 = a(3.15 - 0.76)^2 + 57
-57 =a(2.39)^2
-57 = a(5.7121)
-57/5.7121 =a
-9.9788169 = a then we substitute a to get the quadratic equation therefore f is