Answer:
Step-by-step explanation:
Since given the expression, this represents graphically a parabola with arms pointing up, and a vertical translation of its vertex 5 units up, then the range of the function must be all the y values such that they are greater or equal to 5. This is written as:
Answer:
10 minutes
Step-by-step explanation:
Let the number of minutes = x
It costs Guido $0.20 per minute to forward voicemail messages as texts to his cell phone. He already spent $4 in forwarding messages this month.
For Guido
$4 + 0.20x
His mom has spent $2 forwarding messages. It costs her $0.40 per minute so she can call long distance.
For his mum
$2 + 0.40x
Guido's mom said they have to spend the same amount.
Equating both Equations together
$4 + 0.20x = $2 + 0.40x
$4 - $2 = 0.40x - 0.20x
2 = 0.20x
x = 2/0.20
x = 10 minutes
Guido can talk for 10 minutes
Answer:
The expected volume of the box is 364 cubic inches.
Step-by-step explanation:
Since the die is fair, then P(X=k) = 1/6 for any k in {1,2,3,4,5,6}. Let Y represent the volume of the box in cubic inches. For how the box is formed, Y = X²*24. Thus, the value of Y depends directly on the value of X, and we have
- (When X = 1) Y = 1²*24 = 24, with probability 1/6 (the same than P(X=1)
- (When X = 2) Y = 2²*24 = 96, with probability 1/6 (the same than P(X=2)
- (When X = 3) Y = 3²*24 = 216, with probability 1/6 (the same than P(X=3)
- (When X = 4) Y = 4²*24 = 384, with probability 1/6 (the same than P(X=4)
- (When X = 5) Y = 5²*24 = 600, with probability 1/6 (the same than P(X=5)
- (When X = 6) Y = 6²*24 = 864, with probability 1/6 (the same than P(X=6)
As a consequence, the expected volume of the box in cubic inches is
E(Y) = 1/6 * 24 + 1/6*96 + 1/6*216+ 1/6*384+ 1/6*600+1/6*864 = 364
By using the quadratic equation your answer is y = x^2/4 - x + 5
Answer:
Can u show the whole question
