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3 years ago

WILL GIVE BRAINLIEST: Which function has a removable discontinuity?

Mathematics

1 answer:

elena55 [62]3 years ago

8 0

Answer:

First choice

Step-by-step explanation:

The discontinuity is removable if by reducing the fraction that discontinuity doesn't continue to exist as a discontinuity.

Example of, (x-1)/(x-1) has a a discontinuity at x=1 and it's removable because the fraction reduces to 1 which doesn't have a discontinuity at x=1.

Example not of, (x-1)/(x-2) has a discontinuity at x=2 and it is not removable because we can't get rid of the x-2 factor in the denominator.

The first choice has a discontinuity at x=-1 and it is removable because x^2-x-2=(x-2)(x+1) and the x+1's will cancel on top and bottom making the point at x=-1 a removable discontinuity.

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For the following problem state the objective function and the constraints. DO NOT solve:

Mama L [17]

Answer:

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit P can be expressed as:

$P=3S+5H$

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

Step-by-step explanation:

We have an objective function that, in this case, we want ot maximize.

This function is the Profit (P).

If we define S as the number Sprinkle's umbrellas, and H as the Hurricane's umbrellas, the profit can be expressed as:

$P=3S+5H$

We have 3 restrictions, plus the condition that both S and H are positive.

The restriction for cloth can be written as:

$S+2H\leq500$

The restriction for metal can be written as:

$2S+3H\leq600$

The restriction for wood can be written as:

$4S+7H\leq800$

The condition for S and H to be positive is:

$S, H \geq0$

5 0

3 years ago

Write the ratio of dogs to cats in simplest form.

vlada-n [284]

12/16 becomes 6/8 which later becomes 3/4.

So,

The ratio of dogs to cats in simplest form is 3:4 [Option 4]

Hope it helps!

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3 years ago

A student claims that only one operation is needed to calculate the length of the subtended arc when given the measure of a cent

Debora [2.8K]

Having the angle in radians and the diameter of the circle we can easily calculate the length using the following expression

Length = angle(radians)*diameter/2

With this expression we can easily deduce the perimeter of a circle (length of the full arc)

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There is only one operation involved in this process

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3 years ago

The store paid $2.70 for a book and sold it for $6.20. What is the profit as a percent?

Alenkinab [10]

Answer:

129.6% profit

Step-by-step explanation:

1)Firstly in order to find the overall profit you take away $2.70 from $6.20 = $3.50

2)The next step is to put the profit over the amount paid = 3.50/2.70 = 35/27.

3)In order to find the percentaage you multiply 35/27 by 100 = 129.629 recurring. This rounded to 1 decimal place is 129.6%

Thank you for reading, please let me know if I've missed anything out!

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2 years ago

Multiplying Polynomials <br> -(2x – 9)?

olchik [2.2K]

-2x+9. just distribute a -1

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3 years ago

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