f(x)=3x^2-18x+10
a = 3, b = -18 and c = 10
The vertex of a parabola is in form a(x+d)^2 + e
d = b/2a = -18/2(3) = -18/6 = -3
e = c-b^2/4a = 10 - -18^2/4(3) = 10-27 = -17
Now the vertex form of the parabola becomes 3(x-3)^2 -17
Use the vertex form of the parabola in the vertex form of y = a(x-h)^2 +k
Where a = 3, h = -3 and k = -17
Now you have y = 3(x-(-3))^2 +(-17)
Simplify: y = 3(x+3)^2 -17
The vertex becomes the h and k values of (3,-17)
<span>120 is 75% of 160
i hope that helped =D
</span>
Answer:
Step-by-step explanation:
It usually works well to let a variable represent quantity of the highest-value contributor. Here, that is the quantity of adult tickets.
Let "a" represent the number of adult tickets sold. Then (324-a) is the number of admission fees for children. The total revenue is ...
5.40a +2.50(324 -a) = 1390
2.90a +810 = 1390 . . . . eliminate parentheses
2.90a = 580 . . . . . . . . . subtract 810
a = 200 . . . . . . . . . . . . . .divide by 2.90
The number of children admitted was 124; the number of adults admitted was 200.
Answer:
14
Step-by-step explanation:
