Answer:
243.01.
Step-by-step explanation:
The first term (a) = 324.
The common ratio (r) = -108/324 = -1/3.
So sum of 9 terms is:
S(9) = 324 * (1 - (-1/3)^9) / ( 1 - (-1/3)
= 324 ( 1 - (-0.00005076)) / 4/3
= 324 * 1.00005076 / 1.33333
= 243.012.
X= 192
Explanation: the circle is 360 in total so subtract 168 from 360
Answer:
x > 56
Step-by-step explanation:
x/8 - 13 > -6
x/8 > 7
x > 56
-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
The radicand of a quadratic is b^2-4ac.
If it is greater than zero, there are two real solutions
If it is equal to zero, there is one real solution
If it is less than zero, there are no real solutions (though there are two imaginary solutions)
In this case the discriminant is 256-2160 so it is less than zero.
Therefore there are no real solutions, though there are two imaginary solutions, specifically (16±i√-1904)/18
