Answer:
y = 2(x - 1)² - 3
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k) = (1, - 3), thus
y = a(x - 1)² - 3
To find a substitute (- 1, 5) into the equation
5 = a(- 1 - 1)² - 3
5 = (- 2)²a - 3 ( add 3 to both sides )
8 = 4a ( divide both sides by 4 )
a = 2
Thus
y = 2(x - 1)² - 3 ← in vertex form
-4.5
Step-by-step explanation:
the point P is at the midpoint of -4 and -5
Answer:
-4(9d-1)
Step-by-step explanation:
(6d-10d×3+3d×2)-(5d×3+3d-4)
(6d-30d+6d)-(15d+3d-4)
6d-30d+6d-15d-3d+4d
-36d+4
-4(9d-1)
Answer:
P = 0.000000028514
Step-by-step explanation:
First we are going to calculate the probability of correctly choosing exactly 4 of the winning numbers.
Remember that the probability of an event can be calculated thus:

The favorable cases resulting from choosing 4 numbers of the set of 5 winning numbers from the upper section.
The favorable cases can be calculated with a combinatorial thus:

and the total cases are:

Then the probability is:

and the probability of correctly choosing the Mega Ball number is:
= 0.0285714
And how both events are independent the probability of correctly choosing exactly 4 of the winning numbers and the Mega Ball number is:
P = (0.000000998)(0.0285714)
P = 0.000000028514
22.7 repeating does not belong with the other three numbers because it is the only repeating decimal in the data set.