If a number is odd, then it has a remainder of 1 when divided by 2.
1 answer:
Answer:
The hypothesis of the conditional is "<em>A number is odd</em>".
Step-by-step explanation:
The statement can be represented by the following proposition:
(Eq. 1)
Where:
is the hypothesis of the proposition.
is the conclusion of the proposition.
- Binary connector, which means "If...., then...."
In this case, we present what each propostion represents:
P = A number is odd.
Q = It has a remainder of 1 when divided by 2.
In consequence, the hypothesis of the conditional is "<em>A number is odd</em>".
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Answer:
See attached pictures.
Step-by-step explanation:
The sine and cosine functions have the forms: and
. A is the amplitude for each function. The period is found by dividing 2π the absolute value of B or
. C shifts the function up and down.
The sine function always starts and ends on the x-axis.
The cosine function always starts and ends at the y=A.
6.) The sine function starts at (0,0) then peaks at 5. Comes down to 0 and down to -5 before returning to 0.
The amplitude is 5.
The period is
7.) Here A=3 so the amplitude is 3, B is 1/2 so the period is 4π. Start at (3,0) and descend down to (2π, 0). Go back up to (4π, 3).
8.) Here A = 2 so the amplitude is A. B is 2π so the period is 1. C is 1 so the graph is shifted up a unit.
Start the graph at (0,1) and go up to (0.25,3) and down to (0.5,1) and continue downward to (0.75, -3) then back up to (1,1).
Answer:
Step-by-step explanation:
The given function are;
f(x) = x² - 3·x - 12, and g(x) = -x - 12
Therefore;
g(-8) = -(-8) - 12 = 8 - 12 = -4
∴ f(g(-8)) = f(-4) = (-4)² - 3×(-4) - 12 = 16
Therefore;