All categories

2 years ago

Where is the point of discontinuity of y = -4x+81/x-2 ?

Mathematics

1 answer:

Genrish500 [490]2 years ago

4 0

Answer:

x = 2

Step-by-step explanation:

y = $\frac{-4x+81}{x-2}$

If the denominator is equal to zero , then y is undefined.

this discontinuity can be found by equating the denominator to zero and solving for x.

x - 2 = 0 ⇒ x = 2 is the point of discontinuity

You might be interested in

Find the area of the circle. Use 3.14 for . 80 yd The area of the circle is about yd2?

Aleksandr [31]

Step-by-step explanation:

A =nr²

=3.14 × (80/2)

=3.14 × 40

= 125.6yd²

5 0

3 years ago

Read 2 more answers

Consider the sequence

AlladinOne [14]

12/1331

that is the answer. too lazy to explain

8 0

3 years ago

4+8= 2 x (6-3) Can somebody help me ASAP

kupik [55]

Answer: 12≠6

False

Step-by-step explanation:

8 0

3 years ago

Write each of the following as a function of theta. 1.) sin(pi/4 - theta) 2.) tan(theta+30°)

Paladinen [302]

Step-by-step explanation:

Let x represent theta.

$\sin( \frac{\pi}{4} - x )$

Using the angle addition trig formula,

$\sin(x - y) = \sin(x) \cos(y) - \cos(x) \sin(y)$

$\sin( \frac{\pi}{4} ) \cos(x) - \cos( \frac{\pi}{4} ) \sin(x)$

$( \frac{ \sqrt{2} }{2}) \cos(x) - (\frac{ \sqrt{2} }{2} )\sin(x)$

Multiply one side at a time

Replace theta with x , the answer is

$\frac{ \sqrt{2} \cos(x) }{2} - \frac{ \sin(x) \sqrt{2} }{2}$

2. Convert 30 degrees into radian

$\frac{30}{1} \times \frac{\pi}{180} = \frac{\pi}{6}$

Using tangent formula,

$\tan(x + y) = \frac{ \tan(x) + \tan(y) }{1 - \tan(x) \tan(y) }$

$\frac{ \tan(x) + \tan( \frac{\pi}{6} ) }{1 - \tan(x) \tan( \frac{\pi}{6} ) }$

Tan if pi/6 is sqr root of 3/3

$\frac{ \tan(x) + ( \frac{ \sqrt{3} }{3} ) }{1 - \tan(x) (\frac{ \sqrt{3} }{3} ) }$

Since my phone about to die if you later simplify that,

you'll get

$\frac{(3 \tan(x) + \sqrt{3} )(3 + \sqrt{3} \tan(x) }{3(3 - \tan {}^{2} (x) }$

Replace theta with X.

4 0

2 years ago

Kevin filled up his 14-gallon gas tank for $29.26. What was the price per gallon?

Pachacha [2.7K]

Answer:

Step-by-step explanation: You just divide 29.26 dollars by 14 and get the unit rate of ..

2.09

7 0

3 years ago