Solution:
The domain of all step functions is all real numbers
:True
As we know that the domin of a function is defined as the set of values of the variable for which the given function is defined.
Irrespective of the kind of function, domain will be always real numbers.
Hence in our case of step function, the domain will be real numbers only.
Hence the domain of the all the steps functions is all real numbers only.
One sixth of an hour is 10 minutes.
That means it costs 5,700 every 10 minutes.
Costs 5,700 = 10 minutes
Dive 10 on both sides.
Costs 570 = 1 minute
Lets convert the minute into seconds.
Costs 570 = 60 seconds
Divide both sides by 60.
Costs 9.5 cents = 1 second
Round it off since you can't pay 9.5 cents.
Costs 10 cents = 1 second
This means that every second they pay 10 cents for the hotel. :D
Answer:
17576000 different possible license plates
Step-by-step explanation:
Note that in the question, repetition is allowed for both the letters and digits.
For the first letter, there are 26 choices to make. For the each of the letters, there are 26 choices for the second letter, and for each of the letters, there are another 26 choices for the third letter.
Therefore, this gives us 26x26x26 = 17576 possible pairs of letters.
For the three numbers, we have ten possibilities for the first digit, ten possibilities for the second digit, and ten possibilities for the third digit.
Therefore, this gives us 10x10x10 =1000 possible numbers.
The combined possibility of the license plates in both three letters and three numbers is 17576 x 1000 = 17576000 different possible license plates.
Answer:
15/56
Step-by-step explanation:
5 people have a license
3 people don't
? = Probability that first person has a license and second does not
We can divide the problem into two sections, the first being the probability of the first person having a license, and the second section is the probability that the second person doesn't have a license.
P1 = Probability of the first person having a license, there are 5 out of 8 person having a license, thus P1 = 5/8.
P2 = Probability of the second person having a license. There are 3 people not having a license, out of 8-1 = 7 persons available, since one is taken already from the first choice, therefore P2 = 3/7.
P1 and P2 are dependent events, thus P(1,2) = P1 * P2.
P(1,2) = P1 * P1 = 5/8 * 3/7 = 15/56
Answer:
Below in bold.
Step-by-step explanation:
A. −16x2 + 24x + 16 = 0
-8(2x2 - 3x - 2) = 0
-8(2x + 1 )(x - 2) = 0
x = -0.5, 2.
So the x-intercepts are (-0/5, 0) and (2, 0).
B. As the leading coefficients is negative (-16) the vertex of the graph will be a Maximum.
To find its coordinates we convert the function to vertex form:
f(x) = −16x2 + 24x + 16
= -16(x^2 - 1.5x) + 16
Completing the square on contents of the parentheses:
= -16 [(x - 0.75)^2 - 0.75^2] + 16
= -16(x - 0.75)^2 - 16 * -0.75^2 + 16
= -16(x - 0.75)^2 + 9 + 16
= -16(x - 0.75)^2 + 25.
So the coordinates of the vertex are (0.75, 25)
