Answer:
The third graph
Step-by-step explanation:
y intecepts at (0, 4) and (0, 12)
the slopes are up 1 over 3 and up 3 over 1
Answer:
That is the solutions are:
,
Step-by-step explanation:
The period of 
or 
is 
.
Let's look at the first rotation to see when 
happens.
This happens at 
and also at 
. (Notice I just looked at the x-coordinates because that is what cosine is. Sine is the y-coordinate.)
Now to find the rest of the solutions we can just make full rotations either way to get back to those points .
That is the solutions are:
Answer:
The correct answer is B, the second option
Step-by-step explanation:
(-2, 5/3)
Solve for the first variable in one of the equations, then substitute the result into the other equation.
After you have multiplied but you have all these numbers, look to see how many decimal places the numbers you have multiplied.
Lets say you multiply:
23.45
x 2.1
= 49.245
Because your first number had 2 decimal places and your second number had 1 decimal place you add that and that is how many decimal places your product has. In this case there is three.
Step-by-step explanation:
We apply the log rule that states that if there is a number multiplied by a log, the number becomes exponent of the argument of the log:
3 = log(8) + log(x^3)
Now we have sum of logs. Another property tells us that 2 logs with the same base a, that are added together, are equal to the log in base a of the product of the arguments:
3 = log(8x^3)
Now for definition of log:
10 ^ 3 = x^3
Therefore:
x = 10
