Which relation is a function?

Mathematics

1 answer:

Oksanka [162]2 years ago

5 0

It’s B because the domain(x) doesn’t repeat like the other options.

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Two square pyramids have the same volume. For the first pyramid, the side length of the base is 20 in. and the height is 21 in.

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The volume of the pyramid is calculated by multiplying the area of the base by the height of the figure. For this item, for the figures to have the same volume,
V = B1H1 = B2H2
Then, we substitute the given values, and since we are not given the shape of the base and the volume of the entire figure, we can just solve it through the way below.
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bixtya [17]

Each of them need to work 105 minutes more in order to have packed the same number of boxes.

Explanation

Suppose, they need to work for $x$ minutes more in order to have packed the same number of boxes.

Selma packs one box in 5 minutes and Trudy packs one box in 7 minutes.

So, the number of boxes packed by Selma in that $x$ minutes $=\frac{x}{5}$ and the number of boxes packed by Trudy in $x$ minutes $=\frac{x}{7}$

Given that, Selma and Trudy have already packed 12 and 18 boxes.

Now if each of them packed the same number of boxes, then the equation will be......

$12+\frac{x}{5}=18+\frac{x}{7}\\ \\ \frac{x}{5}-\frac{x}{7}= 18-12\\ \\ \frac{7x-5x}{35}=6\\ \\ \frac{2x}{35}=6\\ \\ 2x= 210\\ \\ x= \frac{210}{2}=105$

So, each of them need to work 105 minutes more in order to have packed the same number of boxes.

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son4ous [18]

Domain is (-10, infinity) and range is negative infinity, positive infinity.

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