Use the quadratic equation y = x^2 – 6x + 9.Where does the vertex of the parabola lie?

A.below the x-axis

B.on the x-axis

C.on the y-axis

D.above the x-axis

Calculate the discriminant to determine the number of real roots.
y = x^2 + 3x + 9

How many real roots does the equation have?

A.one real root

B.no real roots

C.two real roots

D.no solution to the equation

Answers

Answer 1

Answer: Part 1- B, on the X axis.
Part B- A, the answer is one real root, and one non-real root.

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A charity is selling raffle tickets at $10 apiece. Ten third-place winners will be drawn, each winning $20. Five second-place winners will be drawn, each winning $50. Finally, one grand prize of $200 will be awarded. If 100 tickets are sold, what is the expected value of one ticket?

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In order to find the expected value, we must calculate the average returns on each ticket. So After doing this, we can say that each ticket will cost $6.50. I hope this is what you were looking for

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Answers

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The school that Brenda goes to is selling tickets to the annual talent show. On the first day of the ticket sales the school sold 2 adult tickets and 14 child tickets for a total of $96. The school took in $120 on the second day by selling 12 adult tickets and 8 child tickets. find the price of an adult ticket and the price of a child ticket.

Answers

a=cost er adult ticket
c=cost per child ticket

2a+14c=96
12a+8c=120

solve

simplify by dividing firs equation by 2 and 2nd by 4

a+7c=48
3a+2c=30

multiply first equaiton by -3 and add to second
-3a-21c=-144
3a+2c=30 +
0a-19c=-114

-19c=-114
divide both sides by -19
x=6

sub back

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The vertices of a feasible region are (14, 2), (0, 9), (6, 8), and (10, 3). What is the maximum value of P if P = 180x + 250y?

Answers

For this problem, we must first plot of each point using the given points. Assume that each coordinate given is in the (x,y) form. To get the maximum value, we can plus in each coordinate set to the equation to see which P comes out to be the largest. For (14,2), P=3020. For (0,9), P=2250. For (6,8), P=3080. For (10,3), P=2550. The maximum value for P would be P=3080.

Answer:

It’s C

Step-by-step explanation:

There are 5 red balls,6 white balls and 7 green balls in a box.If one ball is taken without looking,what is the probability that it is white?

Answers

5 + 6 + 7 = 18

6/18
1/3

1/3 chance

Probability = No. of favourable outcomes / no. of outcomes.
Thus,

$\alpha = (6)/(13)\n \alpha = 0.46 \n \n Probability = 0.46$

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