Answer:
It has a minimum and no maximum.
Step-by-step explanation:
This is the graph of a parabola that opens up, so it has a minimum but no maximum.
Simplify the following:5 i/(3 i + 2)^2
(3 i + 2)^2 = 4 + 6 i + 6 i - 9 = -5 + 12 i:(5 i)/12 i - 5
Multiply numerator and denominator of (5 i)/(12 i - 5) by 5 + 12 i:(5 i (12 i + 5))/((12 i - 5) (12 i + 5))
(12 i - 5) (12 i + 5) = -5×5 - 5×12 i + 12 i×5 + 12 i×12 i = -25 - 60 i + 60 i - 144 = -169:(5 i (12 i + 5))/-169
i (12 i + 5) = -12 + 5 i:(5 5 i - 12)/(-169)
Multiply numerator and denominator of (5 (5 i - 12))/(-169) by -1:Answer: (-5 (5 i - 12))/169
Answer:
<h2>
Neither </h2><h2>
</h2>
2y = 3x - 4
y = 2/3x - 3
Step-by-step explanation:
Parallel means the lines never cross. These two lines cross. Perpendicular means they cross and form a 90° angle.
√52 -√13 +√117
= 2√13 -√13 +3√13
= 4√13 . . . . matches selection A
_____
√52 = √(4·13) = (√4)(√13) = 2√13
√117 = √(9·13) = (√9)(√13) = 3√13
Answer:
Rewriting the expression
with a rational exponent as a radical expression we get ![\mathbf{\sqrt[9]{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Csqrt%5B9%5D%7B3%7D%20%7D)
Step-by-step explanation:
We need to rewrite the expression
with a rational exponent as a radical expression.
The expression given is:
![(3^\frac{2}{3})^\frac{1}{6}](https://tex.z-dn.net/?f=%283%5E%5Cfrac%7B2%7D%7B3%7D%29%5E%5Cfrac%7B1%7D%7B6%7D)
First we will simply the expression using exponent rule ![(a^m)^n=a^{mn}](https://tex.z-dn.net/?f=%28a%5Em%29%5En%3Da%5E%7Bmn%7D)
![(3^\frac{2}{3})^\frac{1}{6}\\=(3^\frac{2}{18})](https://tex.z-dn.net/?f=%283%5E%5Cfrac%7B2%7D%7B3%7D%29%5E%5Cfrac%7B1%7D%7B6%7D%5C%5C%3D%283%5E%5Cfrac%7B2%7D%7B18%7D%29)
As we know 2 and 18 are both divisible by 2, we can write
![=(3^\frac{1}{9})](https://tex.z-dn.net/?f=%3D%283%5E%5Cfrac%7B1%7D%7B9%7D%29)
Now we know that ![a^\frac{1}{9}=\sqrt[9]{a}](https://tex.z-dn.net/?f=a%5E%5Cfrac%7B1%7D%7B9%7D%3D%5Csqrt%5B9%5D%7Ba%7D)
Using this we get
![=\sqrt[9]{3}](https://tex.z-dn.net/?f=%3D%5Csqrt%5B9%5D%7B3%7D)
So, rewriting the expression
with a rational exponent as a radical expression we get ![\mathbf{\sqrt[9]{3} }](https://tex.z-dn.net/?f=%5Cmathbf%7B%5Csqrt%5B9%5D%7B3%7D%20%7D)