-1 is less than 0, so you use the first equation:
3(-1) +2 = -3+2 = -1
f(-1) = -1
For 0 use the 2nd equation:
3(0) + 4 = 0+4 = 4
f(0) = 4
For 2 use the 2nd equation:
3(2) + 4 = 6+4 = 10
f(2) = 10
Answer:
a
Step-by-step explanation:
Every x or domain is unique and doesn't repeat. Therefor, it will pass the vertical line test. You can not have a repeating x.
The nth term of an arithmetic sequence is found from:
![n_{th}\ term=a+(n-1)d](https://tex.z-dn.net/?f=n_%7Bth%7D%5C%20term%3Da%2B%28n-1%29d)
Plugging in the given values, we get for the 13th term:
-58=14+12d
12d =-58 - 14 = -72
d = -6
So, the 32nd term is:
Answer:
![\tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\where~x~is~an~integer.](https://tex.z-dn.net/?f=%5Ctan%203x%3D%5Cfrac%7B%5Csqrt%7B3%7D%20%7D%7B3%7D%20%3D%5Cfrac%7B1%7D%7B%5Csqrt%7B3%7D%20%7D%20%3Dtan%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%3Dtan%20%28n%5Cpi%20%2B%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%29%5C%5C3x%3Dn%5Cpi%20%2B%5Cfrac%7B%5Cpi%20%7D%7B6%7D%20%3D%5Cfrac%7B%286n%2B1%29%5Cpi%20%7D%7B6%7D%20%5C%5Cx%3D%5Cfrac%7B%286n%2B1%29%5Cpi%20%7D%7B18%7D%20%5C%5Cwhere~x~is~an~integer.)
Step-by-step explanation:
tan 3x=\frac{\sqrt{3} }{3} =\frac{1}{\sqrt{3} } =tan\frac{\pi }{6} =tan (n\pi +\frac{\pi }{6} )\\3x=n\pi +\frac{\pi }{6} =\frac{(6n+1)\pi }{6} \\x=\frac{(6n+1)\pi }{18} \\
where~x~is~an~integer.
Answer:
−
3
Step-by-step explanation:
We can rewrite the equation as: y = − 3 x + 0 This equation is now in the slope-intercept form. The slope-intercept form of a linear equation is: y = m x + b Where m is the slope and b is the y-intercept value. For: y = − 3 x + 0 the slope is: m = − 3