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.
The angle of elevation is 18. 43 degrees
<h3>What is angle of elevation?</h3>
Angle of elevation can be described as an angle formed between a horizontal line and the line of sight above the line.
From the information given, we have that;
- Length of opposite side = 1 meter
- Length of adjacent side = 3 meters
- Angle of elevation = θ
Using the tangent identity, we have;
tan θ = opposite/ adjacent
tan θ = 1/ 3
Divide the values
tan θ =0. 3333
Find the tan inverse of the value to determine θ
θ = tan^-1(0. 3333)
θ = 18. 43 degrees
Hence, the value is 18. 43 degrees
Learn more about angle of elevation here:
brainly.com/question/88158
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Answer:
(x + 4)(x + 1)(x + 1) or (x + 4)(x + 1)²
Step-by-step explanation:
Factor both denominators and see what you are missing between them
(x^4)/[(x + 1)(x + 1) -8/[x + 4)(x + 1)]
So in order to get a common denominator, we need
(x + 4)(x + 1)(x + 1) as a denominator, or (x +4)(x + 1)²
For a better understanding of the answer please find the diagram in the attachment.
As can be clearly seen from the diagram that the distance, "d" (shown in dark blue) of 100 feet which is covered on the sloped/inclined road is actually making an angle of only 30 degrees with the force of 200 pounds which is being applied on the road. That angle of 30 degrees is what matters.
So, the force, F=200 pounds
distance, d=100 feet
And the angle between the force, F and the distance, d is:
Therefore, as per formula, the work, W, done will be:
This, when applied to the question we have will give us: