Answer:
4π
Step-by-step explanation:
This is a sinusoidal function.
The period of the function is basically the length from one wave crest to the next crest. We can take any 2 subsequent crests.
Lets take our first crest to be at 3π
The next one will be at 7π, as we can see
So, the length from one crest to the next is the period, which is:
7π - 3π
= 4π
Third answer choice is right, 4π is the period.
Quadratic formula is x = -b+ or- sq rt b^2-4ac / 2a
a=2 b=5 c=-3
-5 +or- sqrt 5^2-4(2)(-3) / 2(2)
-5 +or- sqrt 49/ 4
-5 + 7 /4 = 2/4 = 1/2
-5 - 7 /4 = -12/4 = -3
Factoring a*c is 2*-3 =-6
Factors of -6 that add to 5 are 6 and -1
Split 5x into +6x-1x
2x^2+6x-1x-3 and group
2x(x+3)-1(x+3)
(x+3)(2x-1)=0
x+3=0 gives x=-3
2x-1=0 gives x=1/2
Answer:
-6 ≤ x ≤ 16
Step-by-step explanation:
First, apply absolute value rule:
x - 5 ≤ 11 and x - 5 ≥ -11
Then, we add 5 on both sides with both inequalities:
x ≤ 16 and x ≥ -6
Finally, combine the inequalities:
-6 ≤ x ≤ 16
And we're done ^^
Answer: 473.4
Step-by-step explanation: if you can't solve it, break the first number apart, multiply both numbers, then add them together. That way there not such big numbers :)
You can see that the function is graphed for every number x that is greater than or equal to zero.
So we write that the domain is
.
