Answer: 
This is the same as saying 18*sqrt(2) or you could say 18√2
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Explanation:
We'll be using this square root rule: 
So we could have this as our steps:
Therefore, 
The basic idea is to first combine the roots using that rule. From there, we factor the radicand such that we pull out the largest perfect square factor. This will allow us to break the root apart and fully simplify it.
Answer:
C
Step-by-step explanation:
Multiples of 4: 4,8,16,20,24,28,32,36,40,44,48,52,56,60
Multiples of 15: 15,30,45,60
Th smallest number that they both can multiply to is 60
By definition, we have that the average rate of change is given by:
Substituting values we have:
Rewriting we have:
Therefore, the graph that has an AVR of 1/2 is the graph of the linear function.
Answer:
graph shows a rate of change of 1/2 is the linear function
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
