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krek1111 [17]
3 years ago
15

Which functions have removable discontinuities (holes)? Check all of the boxes that apply.

Mathematics
2 answers:
Naya [18.7K]3 years ago
4 0

Answer:

a b d

Step-by-step explanation:

Zolol [24]3 years ago
3 0

Answer:

Option A,B,D

Step-by-step explanation:

For f(x) = (x-1)/(x²-1)

f(x) = (x-1)/(x-1)(x+1)

Therefore hole at x = 1

For f(x) = (x²-9)/(x²+7x+12) = (x-3)(x+3)/(x²+4x+3x+12) = (x-3)(x+3)/(x+3)(x+4)

Common factor (x+3) in numerator and denominator so

Function has hole at x = -3

For f(x) = (x² + 4x + 4)/(x² + 2x - 8) = (x+2)²/(x² +4x -2x -8) = (x+2)²/(x+4)(x-2)

This function has no discontinuity.

For f(x) = (x +7)/(x²+5x-14) = (x+7)/(x² + 7x -2x -14) = (x+7)/(x-2)(x+7)

This function has a hole at x = -7

Option A,B,D have the removable discontinuity.

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Answer: H- hot dogs

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6h+4j=16.70

3h+4j=10.85

Elimination:

-6h-4j=-16.70

3h+4j=10.85

-3h=-5.85

H= 1.95

3(1.95)+4j=10.85

5.85+4j=10.85

4j=5

J=1.25

1.95 dollars for a hotdog and 1.25 dollars for a juice box

Step-by-step explanation:

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2 years ago
the room charge for a hotel is 230$ each day. the estevez family spends 4 days on vacation at the hotel . at the end of their st
DochEvi [55]
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3 years ago
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Ayumi plans to go blueberry piking before school, which starts at 8:00 am the amount of blueberries B, in cups that alum picks g
Trava [24]

Answer:

M(t) = M(16 - 2·t)

Step-by-step explanation:

The function is just formed by using the concept of composite functions.

B is cups of blueberries, and n is cups of blueberries,

So by substituting values the required equations formed are given by :

B(t) = 2·(8 - t)  

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n = B(t)  

M(t) = M(n)

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3 years ago
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kicyunya [14]

Answer:

16.9 m

Step-by-step explanation:

Start with a half a circle. The central angle of a semicircle is 180 deg.

Now subtract 21 deg on each side.

180 - 21 - 21 = 138

The central angle is 138 deg.

The radius is 7 m.

Now we use the formula for the length of an arc of a circle given the radius of the circle and the central angle of the arc.

s = \dfrac{n}{360^\circ}2 \pi r

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s = 16.9~m

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