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3 years ago

Does this table represent a function ? Why or why not

Mathematics

2 answers:

ollegr [7]3 years ago

8 0

The answer should be A

Hope this helps

melamori03 [73]3 years ago

3 0

Answer: D. No, because one x-value corresponds to the two different y-values.

Step-by-step explanation:

A function is a relation from a set of inputs to a set of possible outputs where each input is corresponds to exactly one output.

In the given table , the number 5 corresponds to two different values 2 and 5.

i.e. the one value of x corresponds to two different y-values.

Thus by the definition of function, the given tables does not represent a function.

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5.9 divided by 497.252

romanna [79]

Answer:

0.011865211

Step-by-step explanation:

5.9/497.252 =0.011865211

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3 years ago

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Aleksandr [31]

Answer:

$V =\dfrac{32}{3}\pi$

Step-by-step explanation:

given,

radius of sphere = 3

volume of cone:

$V = \dfrac{1}{3}\pi r^2h$

r is the radius of circular base

h is the height of the cone

here r = x and h = 3 + y

now, volume in term of x and y

$V = \dfrac{1}{3}\pi x^2(3+y)$

Applying Pythagoras theorem

x² + y² = 3²

$x = \sqrt{9-y^2}$

$V = \dfrac{1}{3}\pi ( \sqrt{9-y^2})^2(3+y)$

$V = \dfrac{1}{3}\pi ( 9-y^2)(3+y)$

$V = \dfrac{1}{3}\pi (27 + 9 y - 3 y^2-y^3)$

differentiating both side

$\dfrac{dV}{dy} =\dfrac{1}{3}\pi ( 9-6y- 3y^2)$

for maxima $\dfrac{dV}{dy} = 0$

$\pi ( 3-2 y - y^2)=0$

y² + 2 y - 3 = 0

(y+3)(y-1)=0

y = 1,-3

y cannot be negative so, volume at y = 1

$V = \dfrac{1}{3}\pi (27 + 9 (1)- 3(1)^2-(1)^3)$

$V =\dfrac{32}{3}\pi$

Hence, the largest cone which can be inscribed in the spheres of the radius 3 has volume $V =\dfrac{32}{3}\pi$

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3 years ago

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Answer:

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Step-by-step explanation:

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4 years ago

If a rectangular prism has the volume of 408 ft squared and a width of 3 ft, what is the height and length of the figure?

NeX [460]

There are 4 possible heights and lengths. 1 and 136, 2 and 68, 4 and 34, 8 and 17 are the ones I came up with. Hope this helped.

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4 years ago

Evaluate the expression 4x^2-6x+7 if x = 5

saveliy_v [14]

Answer:

Step-by-step explanation:

4x^2-6x+7

Let x = 5

4* 5^2-6*5+7

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100-30+7

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3 years ago