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3 years ago

Give an example of a function with both a removable and a non-removable discontinuity.

Mathematics

1 answer:

LekaFEV [45]3 years ago

6 0

Answer:

(x+5) (x=3)

(X+5) (x+1)

Step-by-step explanation:

A removeable discontinuity is always found in the denominator of a rational function and is one that can be reduced away with an identical term in the numerator. It is still, however, a problem because it causes the denominator to equal 0 if filled in with the necessary value of x. In my function above, the terms (x + 5) in the numerator and denominator can cancel each other out, leaving a hole in your graph at -5 since x doesn't exist at -5, but the x + 1 doesn't have anything to cancel out with, so this will present as a vertical asymptote in your graph at x = -1, a nonremoveable discontinuity.

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X over 2 - x over 3 = 4

Leviafan [203]

x would equal 24
24/2 - 24/3 = 4

3 0

3 years ago

The points (3, 9) and (–3, –9) are plotted on the coordinate plane using the equation y = a • x.

marysya [2.9K]

The answer would be a=3

7 0

2 years ago

Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of the flag pole at an angle of el

7nadin3 [17]

Answer:

15.2 m

Step-by-step explanation:

You need to draw a figure. Start by drawing a horizontal segment approximately 10 cm long; that is the ground. Label the left end point A and the right endpoint B. On the right endpoint, B, go up a short 1 cm vertically. That is 1.5 m, the height of Zaheer. Label that point C. Now from that point draw a horizontal line that ends up above point A. Label that point D. Now go back to point C. Draw a segment up to the left at a 30 deg angle with CD. End the segment vertically above point D. Label that point E. That is the top of the flagpole. Draw a vertical segment down from point E through point D ending at point A. Segment AE is the flagpole. Go back to point C. Move 3 cm to the left on segment CD, and draw a point there and label it F. That is where Zaheer moved to. Now connect point F to point E. That is a 45-deg elevation to point E, the top of the flagpole.

m<EFD = 45 deg

m<EFC = 135 deg

m<FEC = 15 deg

m<ECD = 30 deg

We now use the law of sines to find EC

(sin 15)/10 = (sin 135)/EC

EC = 27.32

Because of the 30-60-90 triangle, ED = EC/2

ED = 13.66

Now we add the height of Zaheer to find AE.

13.66 + 1.5 = 15.16

Answer: 15.2 m

7 0

3 years ago

a knitted hat pattern comes in 4 styles with 4 stich options and 3 sizes and there are 7 yerans appropriate for the hart, disreg

Gwar [14]

112 let me explain

4 styles times 4 stitch options times 7 equals 112

7 0

3 years ago

Assuming that the value of x is 4, and the value of y is 6, what is the value of the following expression? (x - y)**2 > y Typ

DochEvi [55]

Considering the given expression and the numerical values, it is found that it's value is False.

<h3>What is the expression given?</h3>

The expression used in this question is given as follows:

$(x - y) \times 2 > y$

The values considered are x = 4 and y = 6, hence:

$(6 - 4) \times 2 > 6$

$4 > 6$

Hence, it is a False expression, as 4 is less than 6.

More can be learned about expressions at brainly.com/question/25537936

5 0

2 years ago