Which of the following function is graphed?
1 answer:
Answer:
D
Step-by-step explanation:
Try to remember this formula.
Where a is the vertical multiplier, b is the horizontal multiplier, c is the x coordinate of the vertex, and d is the y coordinate of the vertex.
Since the vertex on the graph is (2,3), c and d have to be 2 and 3.
Also, there are no vertical/horizontal stretches so the a and b values stay at 1.
The final equation would come out to
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Answer:
Volume of the cone = 130.83 cubic units
Step-by-step explanation:
The question us incomplete without the diagram of the cone and it's dimensions as this would enable us get the exact answer.
Find attached the diagram used in solving the solution.
Volume of cone = ⅓ πr²h
Radius = r = 5 unit
Height = h = 5 unit
π = 3.14
By inserting the values of each variables, we have:
Volume of cone = ⅓ × 3.14× (5)² × 5
= ⅓ × 3.14× 25×5 = ⅓ × 3.14×125
Volume of cone = (392.5)/3
Volume of cone = 130.8333
Volume of cone = 130.83 cubic units (to the nearest hundredth)
Volume of cone = 130.83 unit³
9514 1404 393
Answer:
D.
Step-by-step explanation:
The wording "when x is an appropriate value" is irrelevant to this question. That phrase should be ignored. (You may want to report this to your teacher.)
When you look at the answer choices, you see that all of them are negative except the last one (D). When you look at the problem fraction, you see that it is positive.
The only reasonable choice is D.
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Your calculator can check this for you.
√12/(√3 +3) ≈ 3.4641/(1.7321 +3)
= 3.4641/4.7321 ≈ 0.7321 = -1 +√3
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If you want to "rationalize the denominator", then multiply numerator and denominator by the conjugate of the denominator. The conjugate is formed by switching the sign between terms.
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<em>Additional comment</em>
We "rationalize the denominator" in this way to take advantage of the relation ...
(a -b)(a +b) = a² -b²
Using this gets rid of the irrational root in the denominator, hence "rationalizes" the denominator.
We could also have multiplied by (3 -√3)/(3 -√3). This would have made the denominator positive, instead of negative. However, I chose to use (√3 -3) so you could see that all we did was change the sign from (√3 +3).