Answer:
given you are asked to simplify
Step-by-step explanation:
You have to multiply the numerator and denominator by the denominator's conjugate.
The conjugate of a+bi is a-bi.
When you multiply conjugates, you just have to multiply first and last.
(a+bi)(a-bi)
a^2-abi+abi-b^2i^2
a^2+0 -b^2(-1)
a^2+-b^2(-1)
a^2+b^2
See no need to use the whole foil method; the middle terms cancel.
So we are multiplying top and bottom of your fraction by (-3+4i):
So you will have to use the complete foil method for the numerator. Let's do that:
(-3+5i)(-3+4i)
First: (-3)(-3)=9
Outer:: (-3)(4i)=-12i
Inner: (5i)(-3)=-15i
Last: (5i)(4i)=20i^2=20(-1)=-20
--------------------------------------------Combine like terms:
9-20-12i-15i
Simplify:
-11-27i
Now the bottom (-3-4i)(-3+4i):
F(OI)L (we are skipping OI)
First:-3(-3)=9
Last: -4i(4i)=-16i^2=-16(-1)=16
---------------------------------------------Combine like terms:
9+16=25
So our answer is ![\frac{-11-27i}{25}{/tex] unless you want to seprate the fraction too:[tex]\frac{-11}{25}+\frac{-27}{25}i](https://tex.z-dn.net/?f=%5Cfrac%7B-11-27i%7D%7B25%7D%7B%2Ftex%5D%20unless%20you%20want%20to%20seprate%20the%20fraction%20too%3A%3C%2Fp%3E%3Cp%3E%5Btex%5D%5Cfrac%7B-11%7D%7B25%7D%2B%5Cfrac%7B-27%7D%7B25%7Di)
We have been given that during one period extreme cold, the average daily temperature decreased 
degree F each day. We are asked to find number of days it will take for the temperature to decrease by 9 degree F.
First of all we will convert our mixed fraction into improper fraction.
Now we will divide total temperature change (9) by average daily temperature change (
) to find number of days.
Dividing a number by a fraction is same as multiplying the number by reciprocal of the fraction.
Therefore, it will take 6 days for the temperature to decrease by 9 degree F.
In this case, i think you just need to divide the amount of telephone subscription and divide it among 100 people
For example, let's say that there is around 2,000,000 subscription for 100,000 users.
The amount would be : 2,000,000 / 1,000
= 2,000 number of mobile per 100 people
hope this helps
Answer:
You should know how to integrate both sides
Step-by-step explanation:
<h3>
Answer: n - 10 which is choice C</h3>
Let's use an example. If Nathaniel earned $15 on Tuesday, and earned $10 less on Wednesday, then 15-10 = 5 dollars is the amount he earns on Wednesday.
Now let's say he earned $27 on Tuesday, and still earned $10 less the next day, meaning that he earns 27-10 = 17
Whatever he earns on Tuesday, subtract off 10. That's the rule to follow for this problem.
(amount earned on Tuesday) - 10 = amount earned on Wednesday
If n reprsesent the placeholder for "amount earned on Tuesday", then we can rewrite that equation as
amount earned on Wednesday = n - 10
In short, whatever 'n' is, subtract 10 off it. In the examples above, I used n = 15 and n = 27.
note: the order of subtraction matters. The expression n-10 is not the same as 10 - n. If you subtract in the wrong order you may get a negative value (eg: 10 - 17 = -7), but he can't earn a negative amount of dollars.
