The answer is $12,052.5. youd divide 800 into 1500 then you multiply the answer you get by 6400 then add (1500/100) x 3.5 to get your answer.
Answer: Choice A
g(x) = sqrt(2x)
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Explanation:
"sqrt(x)" is shorthand for "square root of x"
f(x) = 3x^2 is given
g( f(x) ) = x*sqrt(6) is also given
One way to find the answer is through trial and error. This would only apply of course if we're given a list of multiple choice answers.
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Let's start with choice A
g(x) = sqrt(2x)
g( f(x) ) = sqrt(2 * f(x) ) .... replace every x with f(x)
g( f(x) ) = sqrt(2 * 3x^2 ) .... plug in f(x) = 3x^2
g( f(x) ) = sqrt(6x^2 )
g( f(x) ) = sqrt(x^2 * 6)
g( f(x) ) = sqrt(x^2)*sqrt(6)
g( f(x) ) = x*sqrt(6)
We found the answer on the first try. So we don't need to check the others.
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But let's try choice B to see one where it doesn't work out
g(x) = sqrt(x + 3)
g( f(x) ) = sqrt( f(x) + 3)
g( f(x) ) = sqrt(3x^2 + 3)
and we can't go any further other than maybe to factor 3x^2+3 into 3(x^2+1), but that doesn't help things much to be able to break up the root into anything useful. We can graph y = x*sqrt(6) and y = sqrt(3x^2 + 3) to see they are two different curves, so there's no way they are equivalent expressions.
Answer:
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Step-by-step explanation:
Parent function given in the graph attached is,
f(x) = ![\sqrt[3]{x}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D)
Function 'f' passes through a point (1, 1).
If the parent function is stretched vertically by 'k' unit,
Transformed function will be,
g(x) = k.f(x)
Therefore, the image of the parent function will be,
g(x) = ![k(\sqrt[3]{x})](https://tex.z-dn.net/?f=k%28%5Csqrt%5B3%5D%7Bx%7D%29)
Since, the given function passes through (1, 2)
g(1) =
= 2
⇒ k = 2
Therefore, image of the function 'f' will be,
g(x) = ![2(\sqrt[3]{x})](https://tex.z-dn.net/?f=2%28%5Csqrt%5B3%5D%7Bx%7D%29)
Answer:
Extrapolation
Step-by-step explanation:
Given the data:
Distance (mi): 2 2.5 3 3.5 4
Time (min): 23 28 34 34 40
Line of best fit for the data:
y = 8x + 8
Making use of the best fit equation to make prediction of time is an example of extrapolation. This is because our result will be based in the fact that further prediction of the time it takes for any predicted distance will follow the same trend. Hence, it is important to note that a best fit line or regression model uses extrapolation techniques to make predictions.
Hence,
For the above ; estimate for X =5 will be ;
y = 8(5) + 8
y = 40 + 8
y = 48 minutes