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4 years ago

12

Consider the two groups listed below. Which statement describes the sets?

1 answer:

antoniya [11.8K]4 years ago

6 0

<span><u><em>The correct answer is: </em></u>
D) neither the relation (length, volume) nor the relation (volume, length) is a function.

<u><em>Explanation: </em></u>
A function is a relation in which each element of the domain is mapped to no more than <u>1 element</u> of the range.
For (length, volume), the domain would be length and the range would be volume.
There could possibly be a length value that is mapped to more than one volume value, depending on the height of the pool. This means that (length, volume) is not always a function.
For (volume, length), volume is the domain and length is the range.
There could possibly be a volume that is mapped to more than one length, depending on the height of the pool. This means that (volume, length) is not always a function either.</span>

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Svetradugi [14.3K]

X <span>≤ 10

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3 years ago

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Fill in the y values of the t–table for the function y = RootIndex 3 StartRoot x EndRoot

bulgar [2K]

Answer:

x y

-8 -2

-1 -1

0 0

1 1

8 2

Step-by-step explanation:

The given function is

$y=\sqrt[3]{x}$

We need to find the y-values for the given t-table.

In the given table the x-values are -8, -1, 0, 1, 8.

At x=-8,

$y=\sqrt[3]{-8}=-\sqrt[3]{2^3}=-2$

At x=-1,

$y=\sqrt[3]{-1}=-\sqrt[3]{1^3}=-1$

At x=0,

$y=\sqrt[3]{0}=0$

At x=1,

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At x=-8,

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Therefore, the required table is:

x y

-8 -2

-1 -1

0 0

1 1

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4 years ago

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A box is formed by cutting congruent squares from the corners. Find the maximum volume of a box made out of a 14 inch by 18 inch

kati45 [8]

Answer:

Step-by-step explanation:

V = x(14 - 2x)(18 - 2x)

V = (14x - 2x²)(18 - 2x)

V = (252x - 28x² - 36x² + 4x³)

V = 4x³ - 64x² + 252x

V' = 12x² - 128x + 252

0 = 3x² - 32x + 63

x = (32 ±√(32² - 4(3)(63))) / (2(3)

x = (32 ± √268) / 6

x = 8.06 inches, which we ignore as this would mean we have no material left at all in the 14 inch dimension.

or

x = 2.60488... 2.60 inches

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3 years ago

identify the number as prime, composite, or neither. If the number is composite, write it as the product of prime factor. 343

Ostrovityanka [42]

343 is actually a <em>perfect cube</em> - 7³, specifically, and since 7 itself is prime, 7³ (or 7 × 7 × 7) is its prime factorization

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4 years ago

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posledela

Answer:

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Step-by-step explanation:

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