1) You must add 4 to each side to complete the square.
2) You must add 16 to each side to complete the square.
3) You must add 27 to each side to complete the square.
Explanation:
1) x²-4x=0
To find the number that we add to both sides, we look at b, the cofficient of x. It is -4. We divide it by 2 and square it; -4/2 = -2; (-2)² = 4. This is the value that we add to both sides.
2) x²-8x=6
-8/2 = -4; (-4)²=16
We add 16 to each side to complete the square.
3) 3x²+18x=24
First we can factor a 3 out of the left side:
3(x²+6x) = 24
Our b value is now 6. 6/2 = 3; 3²=9. The 9 would, however, go in the parentheses, so it would be multiplied by 3, which makes 27; this means we would add 27 to both sides.
Given mapping is a function.
Domain: 
Range: 
Step-by-step explanation:
By observing Marco's mapping diagram we can see that every value in time is mapped to only one value in the cost. This means that there will be no repetition or same output to two different outputs so given mapping is a function.
<u>Domain:</u>
Domain is the set of all inputs of a function. Here time is input so domain of function is:

<u>Range:</u>
Range is the set of all outputs of the function on domain so the range of the given function is:

Hence,
Given mapping is a function.
Domain: 
Range: 
Keywords: Domain, range, function
Learn more about function at:
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Answer:
<u>$7000</u> of his salary is put into this account each quarter.
Step-by-step explanation:
Given:
An investment broker puts 1/12 of his paycheck into a retirement account every quarter.
His salary is $84,000.
Now, to find how much is put into this account each quarter.
As given salary = $84,000.
So, amount to put into this account every quarter =




Therefore, $7000 of his salary is put into this account each quarter.
1=-3x-12
13=-3x
3x=-13
X=-4.33333
Brainliest please? Thanks!