Hey there!
In order to find the additive inverse of any number, regardless if it is real or not, you can simply multiply the number by -1 or negate it.
This should look like this:
-(6-3i)
=-6+3i
Therefore, the additive inverse of 6-3i is -6+3i.
**Note: Keep in mind, when the additive inverse of a number is added to the number, the number equals 0:
(6-3i)+(-6+3i)=0
Hope this helps and have a marvelous day! :)
Answer:
x = 9 5/11
Step-by-step explanation:
22x + 7 = 215
22x = 215-7
22x = 208
x = 208/22
x = 9 5/11
Answer:
Washing cars= 4 hours
Walking dogs= 10 hours
Step-by-step explanation:
You want to start by creating equations. So one thing we know is that he makes $9 an hour washing cars(x) and $8 walking dogs(y).
$9x+$8y=$116
The second Equation is based off of the hours worked. We know that he worked 6 hours more walking the dogs than he did washing cars, so we can take x(being the washing hours) and add 6 to it to equal y (the number of dog hours).
y=x+6
Now You plug what y equals into the first equation to solve for x.
9x+8(x+6)=116 Next distribute the 8 to each term.
9x+8(x)+8(6)=116
9x+8x+48=116 Add the like terms together (9x+8x)
17x+48=116 Subtract the 48 from both sides
-48 -48
17x=68 Now divide by 17 on both sides.
______
17 17
x=4 Finally we can take x and plug it back in to one of the equations in order to solve for y. I'm going to choose the second equation.
y=(4)+6
y=10
1.55 / 1 = x / 3.5....$ 1.55 to 1 lb = $ x to 3.5 lbs
first one <==
it could have also been : 1 / 1.55 = 3.5 / x...but that is not an answer choice
