find any points of discontinuity for the rational function... y=x-3/x^2-3x-10

Answers

Answer 1

Answer:

x = -2 or 5

Step-by-step explanation:

y = (x-3)/((x-5)(x+2))

y is undefined when the denominator is zero.


Related Questions

Find the limits, if they exist lim(x,y)→(0,0) (3x^2/(4x^2+4y^2))

Answers

(1) Along the x-axis, we have y = 0, so that

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2} =\lim_{x\to0}\frac34= \frac34[/tex]

(2) Along the y-axis, we take x = 0, then

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{y\to0} \frac0{4y^2} = 0[/tex]

(3) Along the line y = mx, we have

[tex]\displaystyle\lim_{(x,y)\to(0,0)} \frac{3x^2}{4x^2+4y^2} = \lim_{x\to0} \frac{3x^2}{4x^2+4(mx)^2} = \lim_{x\to0}\frac{3x^2}{4x^2+4m^2x^2} = \frac3{4+4m^2}[/tex]

which means the limit is dependent on the slope of the line m.

(4) nonexistent

find the slope of the line

Answers

Answer:

m = (6-5)/(4-1)

m = 1/3

.............

g(x) = sqr root of x+3

What is the domain of g?

Answers

Answer:

[tex]all \: real \: numbers \: except \: \\ x + 3 < 0 \\ \: \: \: \: x < - 3[/tex]

Answer:

X is the domain and sqr root of X+3 is the range.

20 points if these are correct pls.​

Answers

Answer:

16. 42

21. 18

Step-by-step explanation:

a long distance runner ran 10,000 meters in 28mins.work out his speed in (a)meters/min B. meters/sec​

Answers

answer:

Times it or multiply to get 2800000 then It should be B meter's by seconds.

Step-by-step explanation:

Convert 2 yards to centimeters. Round to the nearest whole
centimeter.

Answers

Answer:

183 centimeters

Step-by-step explanation:

2 multiply the length value by 91.44

1. In order to complete the square on x^2 – 3x, you would…?

Answers

Answer:

(x-1.5)^2 -2.25

Step-by-step explanation:

divide 3 by 2 which is 1.5

(x-1.5)^2 -2.25

a. Divide: 21a3 by 3a? ? 2 b. Multiply: (2x+y) by (x-y) 3. a. Simplify: 3x+2y-2x+y
hellp mee plzz ​

Answers

Answer:

a .

[tex] \frac{21 {a}^{3} }{3 {a}^{2} } = 7a[/tex]

b.

[tex](2x + y)(x - y) \\ = 2 {x}^{2} - 2xy + xy - {y}^{2} \\ = 2 {x}^{2} - xy - {y}^{2} \\ [/tex]

a.

[tex]3x + 2y - 2x + y \\ = x + 3y[/tex]

I hope I helped you^_^

Answer:

a = 7a, b = [tex]2x^2 - yx - y^2[/tex]

Step-by-step explanation:

a. 21 / 3 = 7. [tex]a^3 / a^2 = a[/tex] (exponents are basically subtracted when dividing), creating 7a

b. [tex](2x + y)(x-y)[/tex]

Use FOIL for this or use the distributive property, either way. Then combine like terms

[tex]2x^2 - 2xy + yx - y^2[/tex]

[tex]2x^2 - yx - y^2[/tex]

answer this question pls <3

Answers

Answer:

p = 4a

p = a+a+a+a

Step-by-step explanation:

the first one is shorter

Which would you measure using inches?
height of a flagpole
length of a driveway
length of a cross-country race course
length of a pen

Answers

Answer:

Length of a pen

Step-by-step explanation:

Because it is comparatively smallest than other,

and we use inches method to measure smaller length.

Length of a pen because it’s the smallest object in the list

5. Given the exponential function f(x) = 4(3)*, find f(0) and f(1).
O A. f(0) = 4; f(1) = 12
O B. f(0) = 4; f(1) = 36
O C. f(0) = 12; f(1) = 36
O D. f(0) = 12: f(1) = 4

Answers

Answer:

C

Step-by-step explanation:

The answer is C

Select the best answer for the question.
14. What is the value of 3(-9) +6 |-6|?
A. -63
O B. 27
O C. 9
D. 63
O Mark for review (Will be highlighted on the review

Answers

Answer:

9 is the correct answer

hope that it will help you

Can someone help me with this please?

Answers

The start is that you have the form y = 125 (a)^x for an exponential function.

Since 125 (aka 2008) is your starting year, you can substitute in x=4 and y=145, since 2012 is 4 years after 2008. (2012-2008=4)

145 = 125 a^4

Divide by 125 on both sides:
145/125 = a^4

Take the 4th root of both sides on a calculator and you’ll have your a-value.

All equilateral triangles are congruent. State whether the statement is true or false

True
False​

Answers

Answer:

TRUE

If a triangle has three congruent angles, it is be equiangular. Since congruent angles have congruent sides opposite them, all sides in an equiangular triangle will also be congruent. Therefore, every equiangular triangle is also equilateral

Copyright Reserved
use a net to derive a formula
for the total surface area of
a cube,

Answers

Answer:

formula= 6ssquare

Step-by-step explanation:

where s is the length of the cube on each side

How would you describe the shape of the distribution of the data? How is it skewed?
a.
The distribution is not skewed at all.
b.
The distribution is somewhat skewed to the right.
c.
The distribution is somewhat skewed to the left.
d.
The distribution is symmetrical.

Answers

Answer:

the normal distribution is a symmetric distribution with no skew. ... A left-skewed distribution has a long left tail. Left-skewed distributions are also called negatively-skewed distributions. That's because there is a long tail in the negative direction on the number line.

Answer:

the answer is D

Step-by-step explanation:

because I'm right

Sole the inequality
2w+19<5

Answers

Answer:

21~5

becouse 21 Is bigger than 5w

21. Six more than three times a number is equal to the number itself. Write the equation and find the number.

Answers

Answer:

-3

Step-by-step explanation:

6 + (six more) 3x (3 times a number) = x (is equal to the number)

6 + 3x = x

6 + 2x = 0

2x = -6

x = -3

14.127 divided by 5.1 show work

Answers

9514 1404 393

Answer:

  2.77

Step-by-step explanation:

Usually we like to do long division with the divisor being an integer. Here, that means the decimal points in both numbers are moved one place to the right. This makes the division be 141.27/51 = 2.77. The work is shown in the attachment.

Express the relation(3, 5), (4, 6), (3, 8), (2, 4), (1, 3), as a mapping. Then determine the domain and range​

Answers

Answer:

y

Step-by-step explanation:

order these numbers in ascending order. -11/3, 90%, 89/4, 2​

Answers

Answer:

[tex] - \frac{11}{3} \: \: » \: \: 90\% \: » \: \: 2 \: \: » \: \: \frac{89}{4} [/tex]

I don’t understand this I don’t know if I’m supposed to draw or what ?

Answers

Your supposed to explain.

Please help me with number 1 please help ???

Answers

Answer:

mean: 26

median: 28

mode: 28

range:19

Step-by-step explanation:

hipe this helped hun

f. 40% of students use the Math Lab on a consistent basis. If 1,250 students are
enrolled, about how many use the Math Lab on a consistent basis?

Answers

Hi

it's means multiplicate your number by 40/100 ie : 0.4

have a try. Math is all about method and practice.

please help me it's for today

Answers

Check the pictures attached for the answers.

Select all of the answers that are elements of M = {x | x is a month of the year}

Answers

Step-by-step explanation:

M={January, February, March, April, May, June, July, August, September, October, November, December}

Chris rented a truck for one day. There was a base fee of $19.95, and there was an additional charge of 85 cents for each mile driven. Chris had to pay $183.15
when he returned the truck. For how many miles did he drive the truck?

Answers

Answer:

he drove 192 miles

Step-by-step explanation:

why bc I did 0.85 x 192= 183.15

so that makes 192 the miles Chris drove

Brandy makes $102 for a eight hour shift at a weekend job how much will he get paid for 30 hours

Answers

Answer:

Brandy would be payed $450 for 30 hours

Step-by-step explanation:

102÷8= 15

15×8= 102

15 dollars is what he makes hourly

30 hours× 15= 450

Solve for x: 4 − (x + 2) < −3(x + 4)

Answers

Answer: x < 7  

Step-by-step explanation:

In the Tigers Football Club, there are 9 players to each coach, while in the Eagles Football Club, there are 17 players to every 2 coaches. If the total number of players and coaches in the two clubs is 232, how many players and coaches are in each club?

Answers

9514 1404 393

Answer:

Tigers: 8 coaches, 72 playersEagles: 16 coaches, 136 players

Step-by-step explanation:

We can define a "basic unit" of each team to be the minimum number of players and coaches that can have the given ratio. For the Tigers, that is 1 coach and 9 players, for a total of 10 team members. For the Eagles, that is 2 coaches and 17 players, for a total of 19 team members. If we have t basic units of Tigers and e basic units of Eagles, then we want ...

  10t +19e = 232 . . . . . the total of players and coaches in the two clubs

We want t and e to be integers, so this is a Diophantine equation. It can be solved any of several ways, including use of the Extended Euclidean Algorithm. Here, we'll make some observations based on "number sense."

The value of e must be an even number between 0 and 232/19 = 12. The product of e and 19 must be a number that ends in 2, because 10t will end in 0, and the sum with 19e must end in 2.

The only multiple of 9 that ends in 2 is 9×8 = 72, so the value of e must be a positive number less than 12 that ends in 8. We must have e=8.

Then t=(232 -8×19)/10 = 8. This tells us there are 8 "basic units" of each team.

The Tigers have 8 coaches and 72 players.

The Eagles have 16 coaches and 136 players.

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