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3 years ago

#3 find domain and range using interval notation

Mathematics

1 answer:

kkurt [141]3 years ago

6 0

Hey there! :)

Answer:

D : [-4, ∞)

R: [-2, ∞)

Step-by-step explanation:

Notice that one end of the graphed function has a closed circle, and one end is a line. We must use specific brackets accordingly:

[ is used for closed points.

( is used for arrows or open circles.

Therefore:

This graph goes from x = -4 towards x ⇒∞. Therefore:

D : [-4, ∞)

The range of this function goes from x = -2 towards y⇒ ∞. Therefore:

R: [-2, ∞)

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Answer:

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Step-by-step explanation:

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#Volume of the golf ball:

$V=\frac{4}{3}\pi r^3\\\\=\frac{4}{3}\pi \times 4^3\\\\\approx 268.08\ cm^3$

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We then equate the two volumes to the glass' volume to determine the new height of the water:

$V=\pi r^2h\\\\(206.08+50.27)=\pi r^2 h\\\\h=318.35/(\pi \times 4^2)\\\\=6.33\ cm$

Hence, the glass will not overflow since the new height of the water is less than the height of the glass(6.33 cm<10cm).

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Step-by-step explanation:

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