What is the equation, in standard form, of a parabola that contains the following points? (-2,18),(0,4),(4,24)

1 answer:

6 0

Y=ax² + bx + c and A(-2,18), B(0.4), C(4,24) given

1)Let's determine 1st the value of c in using the pair of B
4= a(0)² + b(0) + c , c=4 and y=ax²+bx+4

2) Use the pair of A: 18 = 4a -2b + 4===> 4a-2b=14

3) Use C pair: 24 = 16a+4b+4 ==> 16a+4b=20

4) solve the system equation in 2) and 3) and you'll find a=2 and b=-3

Hence the equation is y =2x²-3x+4

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The Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging

kirza4 [7]

Answer:

Step-by-step explanation:

given that the Chocolate House specializes in hand-dipped chocolates for special occasions. Three employees do all of the product packaging

Clerk I II III total

Pack 0.33 0.23 0.44 1

Defective 0.02 0.025 0.015

Pack&def 0.0066 0.00575 0.0066 0.01895

a) probability that a randomly selected box of chocolates was packed by Clerk 2 and does not contain any defective chocolate

= P(II clerk) -P(II clerk and defective) = $0.23-0.00575=0.22425$