2
3
B)
3
5
C)
8
15
D)
8
225
Answer:
Option B
Step-by-step explanation:
Given that the 15 cards are numbered 1 to 15.
A card is picked at random. We have to find the probability that the card is odd or two
Let A - selected card is odd
B - selected card is 2
A and B are mutually exclusive
Hence P(AUB) = P(A)+P(B)
Since there are 1,3....15 i.e. 8 odd numbered cards
P(A) = 8/15
P(B) = 1/15 (since there is only one two)
Thus required prob = P(AUB) = 8/15+1/15
=9/15
=3/5
Hence option B
For the function f defined by f(x) = 2x^2 – 3x, evaluate: f(x+3)
Answer:
2x² + 9x + 9
Step-by-step explanation:
To evaluate f(x + 3) substitute x = x + 3 into f(x), that is
f(x + 3) = 2(x + 3)² - 3(x + 3) ← expand (x + 3)² using FOIL
= 2(x² + 6x + 9) - 3(x + 3) ← distribute both parenthesis
= 2x² + 12x + 18 - 3x - 9 ← collect like terms
= 2x² + 9x + 9
B) 30min
C) 45min
D) 1hr
Please explain step by step and how you got the answer. Thank you
Answer:
B) 30min
Step-by-step explanation:
Start with 2 and continue to multiply that by 2 until you get 128
2 x 2 = 4
4 x 2 = 8
8 x 2 = 16
16 x 2 = 32
32 x 2 = 64
64 x 2 = 128
Then start with what you think could be the right answer based on how many intervals there are.
You know it can't be 15 because there definitely isn't enough and you know its not 1hr because theres way more than 3.
So you're left with either B) 30min or C) 45min
It has to be B) 30min because there are 6 intervals and 30min goes into an hour twice, meaning that if every 2 intervals is an hour there are 3 hours.
Answer:
(0,3)
Step-by-step explanation:
So we have the equation:
Recall what the y-intercept is. The y-intercept is when the graph crosses the y-axis. Therefore, at that point, the x-value is 0. So, to find the y-intercept, substitute 0 for x. Thus:
Subtract:
Square:
Add:
So, the y-intercept is at (0,3).
And we're done!