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Lisa [10]
3 years ago
14

How would you "remove the discontinuity" of f ? In other words, how would you define f(3) in order to make f continuous at 3? f(

x) = x2 − 2x − 3 x − 3

Mathematics
1 answer:
Jet001 [13]3 years ago
3 0

Answer:

Since it's a removable discontinuity, we will remove the discontinuity by creating a new function defined by x=3;

So we have;

F(x) = {[x² - 2x - 3]/(x-3); x ≠ 3

         {4, x = 3

Step-by-step explanation:

I have attached my explanation as the system here is not allowing me to save my answer.

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Find the ratio of x to y if 7/x = 5/y. Help me!!!!
MakcuM [25]
7/x = 5/y
Can be changed to:
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So, x = (7/5)y and
y = (5/7)x

6 0
3 years ago
The plan for the Thorne’s backyard play area, shaped like a trapezoid, is shown. The area of the play area is 286.56 square feet
lorasvet [3.4K]

The length of material needed for the border is the perimeter of the backyard play area

<h3>How to calculate the length of material needed </h3>

The area of the play area is given as:

Area = 286.56

The area of a trapezoid is calculated using:

Area = 0.5 * (L1 + L2) * H

Where L1 and L2, are the parallel sides of the trapezoid and H represents the height.

The given parameter is not enough to solve the length of material needed.

So, we make use of the following assumed values.

Assume that the parallel sides are: 25 feet and 31 feet long, respectively.

While the other sides are 10.2 feet and 8.2 feet

The length of material needed would be the sum of the above lengths.

So, we have:

Length = 25 + 31 + 10.2 + 8.2

Length = 74.4

Using the assumed values, the length of material needed for the border is 74.4 feet

Read more about perimeters at:

brainly.com/question/17297081

6 0
2 years ago
Find the circumference of the circle if the square has an area of 144 m. Give your answer to the nearest tenth. Use 3.14 for pie
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Answer:

The circumference is 42.54
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4 years ago
the distant around a track is 1/4 mile. a marathon is 26 1/5 miles. How many laps does it take to run a marathon​
sleet_krkn [62]

Answer:

108 1/8

Step-by-step explanation:

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=>26+0.2=26.2

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A giant hummingbird can flap its wings at a rate of 13 flaps per second, how many times
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Answer:

780 flaps per second

Step-by-step explanation:

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