The simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2
<h3>How to simplify the radical?</h3>
The expression is given as:
(√12+6)(-√8-√2)
Factor out -1
(√12+6)(-√8-√2) = -(√12+6)(√8+√2)
Expand the expression
(√12+6)(-√8-√2) = -(√96 + 6√8 + √24 + 6√2)
Evaluate the radicals
(√12+6)(-√8-√2) = -(4√6 + 12√2 + 2√6 + 6√2)
Evaluate the like terms
(√12+6)(-√8-√2) = -(6√6 + 18√2)
Open the bracket
(√12+6)(-√8-√2) = -6√6 - 18√2
Hence, the simplified expression of (√12+6)(-√8-√2) is -6√6 - 18√2
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Answer:
Domain: -∞<x<∞
range: -2≤y<∞
Step-by-step explanation:
domain is basically all the x values of the set. The parabola is facing up, meaning that it extends forever upward and out. This would mean the x values of the graph reach from neg to positive infinity
range is basically all the y values of the graph. The lowest y value, as shown by the vertex is -2. As said earlier, the parabola is facing upward, extending forever upward meaning that the highest y value is positive infinity
for infinity, always use these < or >
for numbers that are included in the graph such as -2 in this case, use ≤ or≥
First, you need to find the amount of rate of change/slope of this equation of minutes, which is 2/3 of a ton.
We will then multiply 2/3 by 60, because we need to find how much in an hour. (60 minutes = 1 hour)
2/3 x 60 = 40
We will then multiply 40 by 24, because we need to find approximately what rate the recycling plant processes glass in a full day. (24 hours = 1 day)
40 x 24 = 960
We now have our answer:
The recycling plant processes 960 tons of glass in a whole day.
Hope this helps! :)
Answer:
283=97/u U=2.917
Step-by-step explanation:
if you have choices and more information, it would be helpful when answering questions