Answer:
see this img
Step-by-step explanation:
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Answer:
P(even) is 1/2.
Step-by-step explanation:
To get the probability of even numbers, you divide the amount of even numbers by the total amount of numbers. You should get 2 (amount of even numbers) /4 (total amount of numbers.) This simplifies to 1/2. I hope this helps and that you have a marvelous day!! Stay safe!!
Answer:
Step-by-step explanation:
Factoring x2-6x-30
The first term is, x2 its coefficient is 1 .
The middle term is, -6x its coefficient is -6 .
The last term, "the constant", is -30
Step-1 : Multiply the coefficient of the first term by the constant 1 • -30 = -30
Step-2 : Find two factors of -30 whose sum equals the coefficient of the middle term, which is -6 .
-30 + 1 = -29
-15 + 2 = -13
-10 + 3 = -7
-6 + 5 = -1
-5 + 6 = 1
-3 + 10 = 7
-2 + 15 = 13
-1 + 30 = 29
Answer:
cos(a + b) = 
Step-by-step explanation:
cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]
cos(a) = 
cos(b) = 
Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.
sin(a) =
[Since, sin(a) =
]
= 
= 
Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be negative.
sin(b) =
= 
= 
By substituting these values in the identity,
cos(a + b) = 
= 
= 
= 
Therefore, cos(a + b) = 
The graph of a function can be sketched by plotting points.
First and foremost, it is to be determined if the function is odd/even or periodic. Next, we find the x and y intercepts. To sketch a graph of a function, one can start by plotting a few points that lie on the graph using the coordinates given by the function. For example, if the function is y = x², then points (0, 0), (1, 1), and (2, 4) can be plotted by substituting the values of x into the function to find the corresponding values of y.
Subsequent to this, one can connect the points with a smooth curve to form the graph of function. If the function is a straight line, the graph will be a straight line. If the function is quadratic, the graph will be a parabola. The graph may take on a more complicated shape for more complex functions.
Read more about the graph of a function on:
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