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Answer:
The vertex of the parabola is (-2,0)
Step-by-step explanation:
The given function is:
Now, in order to find the vertex for the parabola, that is v(h,k), comparing the above equation with the standard form of equation that is , we get
a=-3, b=-6 and c=0
We know, and
, therefore
and
Thus, the vertex is given as:(h,k)=(-2,0).
The maximum number of adults is 8 and children is 32 .
Step-by-step explanation:
Let the number of adults be-----------x, where x>0
Let the number of children be---------y, where y>0
Charges for an adult per trip = $18
Charges for a child per trip = $8
Total number of people a bus can carry = 40
The inequality for total number of people a bus can carry will be;
x+y ≤ 40 ...............(i)
The school can only spend $400 on the trip, thus the inequality for cost of trip will be;
$18 x + $8 y ≤ $400
18 x + 8 y ≤ 400 -----------(ii)
Using a graph tool to plot the inequalities and view the results gives the attached graph
From the graph, x= 8 and y=32
The maximum number of adults is 8 and children is 32 .
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Inequalities solutions by graph:brainly.com/question/13334731
Keywords: company, bus trips, events, adults, children, charges, maximum capacity, system of equations
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