find the holes
[tex]f(x)=\frac{x+3}{(x+1)(x-2)}[/tex]

Answers

Answer 1

Answer:

          x=-1 and x=2

Step-by-step explanation:

The "holes" are the x-es where function doesn't exist.

one must not divide by 0, so given function doesn't exis if the denominator is equal 0

The product {(x+1)×(x-2)} is equal 0 if any of factors  {(x+1),(x-2)} is 0, so

x + 1 = 0    or    x - 2 = 0

x = - 1      or    x = 2


Related Questions

Mr Martin has 120 CDs. The ratio of indie CDs to dance CDs is 5:7. How many of each type of CDs does he have.

Answers

Answer

Martin has 50 indie CDs and 70 dance CDs

Step-by-step explanation:

5+7=12 120/12 =10 10x5=50 and 10x7=70 So Martin has 50 indie cds and 70 dance CDs

PLz help i dont want to fail

Answers

Answer:

D

Step-by-step explanation:

Pattern A start at 20 and has the rule subtract 2. Pattern b starts at 20 and has the rule subtract 1. Which shows the first several terms of patterns A and b

Answers

Answer:

c.

Pattern A: 20, 18, 16, 14, 12, 10

Pattern B: 20, 19, 18, 17, 16, 15

Step-by-step explanation:

Pattern A starts at 20 and the rule is to subtract 2. The terms will therefore be:

= 20, 18, 16, 14, 12, 10

The numbers above were gotten by subtracting 2 from each term for the next term.

Pattern B starts at 20 and the rule is to subtract 1. The terms will be:

=  20, 19, 18, 17, 16, 15

Correct option is therefore option C.

I need help with this plz

Answers

The answer is b sense it’s asking I’m simplest form

what is the missing term of ..9, __ , 19

Answers

Answer:

The answer could be anything, but if it's an arithmetical sequence, then it's 14.

Step-by-step explanation:

I'm assuming that the added numbers always stay the same, meaning it's linear. If you add 5 to 9, you get 14. If you add 5 again, you get 19. Another way of doing this is (19-9)/2 = 5, then 9+5=14.

Select ALL that apply.​

Answers

Answer:

your picture is not loading for me

The slope is -4 so A, B, D is not the answer
The answer is C and E

On a number line point x is located at 2 / 3 on a second number line point y is the same distance from zero as point x what has a numerator of 8 what is the in denominator of y

Answers

Answer:

12

Step-by-step explanation:

Given that :

Point X on number line 1 from 0= 2/3

Point Y on number line 2 from 0 = same distance as point X on number line

Point Y has a denominator of 8 ; the numerator is thus;°

Let denominator = d ; Fraction becomes 8/d

Thus `

Point X on 1 = point Y

2/3 = 8/ d

2d = 3 * 8

2d = 24

d = 12

I WILL GIVE BRAINLIEST TO RIGHT ANSWER
write an equation of the line in a slope intercept form has a slope of -1/2 and passes through the point (2, 3)

Answers

Answer:

        y = -¹/₂ x + 4

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -¹/₂

(2, 3)    ⇒   x₀ = 2,  y₀ = 3

The point-slope form of the equation:

y - 3 = -¹/₂ (x - 2)

So:

y - 3 = -¹/₂ x + 1         {add 3 to both sides}

y = -¹/₂ x + 4            ←  the slope-intercept form of the equation

A train travelled 300 kilometres in 5 hours. Find it's rate of speed

Answers

Answer:

The train traveled 60 kilometers per hour.

Step-by-step explanation:

300/5=60

Answer:

60 km/hours

Step-by-step explanation:

in the picture above.

write the number 100 as a product of it's prime factor in the same way write the factors in order from smallest to largest

Answers

Answer:

Thx for my points back

Step-by-step explanation:

Answer:

Thx

Step-by-step explanation:

for free points.....

What is the first step in solving the inequality. 32≥5−3x

Answers

Answer: Simplify

Step-by-step explanation:

Which expression is equivalent to 1/4 - 3/4x

Answers

Answer:

-3/4x + 1/4

Step-by-step explanation:

19/10 equals x - 23/6


Please help me quickly!!!

Answers

Answer:

7 17/60

Step-by-step explanation:

you do 6x10 witch is 60 then you do 19 x 23 witch is 437 then divide that by 60 and that is 7 and you have 17 leftover

Solve:
8x-5y=11 4x-3y=5

Answers

Answer:

y is 1 and x is 2

Step-by-step explanation:

please mark me as brainliest!!<3

Pls AWNSER this one question thanks!

Answers

9514 1404 393

Answer:

  2)  y = kx

Step-by-step explanation:

Direct variation is described by the formula ...

  y = kx

where 'k' is the constant of proportionality.

True or False: If there are multiple operations inside a parentheses, you do not need to complete these in the order of PEMDAS.

Answers

Answer:

False

Step-by-step explanation:

I would say false. The operations inside should always go by PEMDAS unless instructed otherwise

Answer:

FALSE

Step-by-step explanation:

Within a set of parentheses, the order of operations should be followed. This is because you will get the wrong answer if you don't.

evaluate the following by writing it as a difference of two squares first : 104^2 - 96^2

Answers

Answer:

(502)2 - (498)2

Step-by-step explanation:

(502)2 - (498)2

Solution:

(502)2 -(498)2

Since the given algebraic expression is in the form of a2 – b2 so, here we will directly apply the formula a2 - b2 = (a + b) (a – b) to evaluate the difference of two squares.

HOPE IT HELPS YOU!!!

The difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

Recall:

The difference of two squares, i.e. x² - y², can be expressed and evaluated as;

x² - y² = (x - y)(x + y)

Given:

104² - 96²

The difference can be expressed and evaluated as shown below:

104² - 96² = (104 - 96)(104 + 96)

104² - 96² = (8)(200)

104² - 96² = 1,600

Therefore, the difference of the squares of, 104² - 96², can be written as: (104 - 96)(104 + 96).

It is evaluated as: 104² - 96² = 1,600

Learn more here:

https://brainly.com/question/17018316

1. Identify whether this equation has a solution that is positive, negative, or zero:
3x - 5= -3
1. positive
2.negative
3.Zero

Answers

x=2/3
Which is positive

Aileen has a total debt of $45. She is trying to pay back $6 each week for the next 4 weeks. If Aileen is successful, which amount will represent the change in the amount of her debt?​

Answers

Answer:

$-21

Step-by-step explanation:

Since she is paying $6 for 4 weeks, in total she will pay:

6 x 4 = $24

She has an initial balance of $-45 Because she is in debt

Therefore you just need to add it all up

-45 + 24 = $-21

Answer:

-24

Step-by-step explanation:

6 x (-4) = 24

Hector spent $41.75 for 2 DVDs that cost the same amount. The sales tax on his purchase was $3.15. Hector also used a coupon for $1.00 off his purchase. How much did each DVD cost?

Answers

Given:

Amount spent on 2 DVDs = $41.75

Sales tax = $3.15

Coupon = $1.00 off

To find:

The cost of each DVD.

Solution:

Let x be the cost of each DVD.

Then, cost of two DVDs = 2x

Amount spent of 2 DVDs = Cost of 2 DVDs + Sales tax - Coupon discount

[tex]41.75=2x+3.15-1.00[/tex]

[tex]41.75=2x+2.15[/tex]

[tex]41.75-2.15=2x[/tex]

[tex]39.6=2x[/tex]

Divide both sides by 2.

[tex]\dfrac{39.6}{2}=x[/tex]

[tex]19.8=x[/tex]

Therefore, the cost of each DVD is $19.8.

10. What is the value of xin the equation below?
4
2
+
7
2

Answers

2/x + 1/7 = 4/x

2/x + 4/x = -1/7 move the terms

Transform the expression

-2/x =-1/7 change the signs

2/x = 1/7 cross multiply

Final answer X= 14

what is this equation simplified as?

Answers

Answer:

-14/25

Step-by-step explanation:

:D

When Nancy started middle school, she was 60 inches tall. When she started high school, she was 66 inches tall. What was the percent change in her height?

A. 6 percent increase
B. 9 percent increase
C. 10 percent increase
D. 90 percent increase

Answers

C it was a 10 percent increase

Answer:

C.

Step-by-step explanation:

HELP HELP HELP pleaseesjnsnsns

Answers

Answer:

C.

Step-by-step explanation:

12x+3 add them together

It’s B ! 7+4 is 11 not 12

Graph the solutions of the linear inequality 3x + 3y > 6 .

Answers

here you go, i didn’t know what other way to graph it. but i used desmos!



Write a story that could represent this math problem.

Answers

Answer:

Every year, my aunt Yannah makes 4 Pumpkin Pies for thanksgiving. She always cuts them into 8th's for all of us and for me and my family to share. This year, only 3/8 was eaten of each Pumpkin Pie. I want to know how much of the Pumpkin Pie was eaten, and if my aunt Yannah should make less pie next year? 

That is the story ^

                           |

ANSWER: 12/8

Tanya bought a new television for $1,200. The deal was attractive to her because she was required to make interest payments on the $1,200 purchase for the first year. After one year of interest-only payments, how much did Tanya owe on the television?

Answers

Answer:

1,200

Step-by-step explanation:

How many times dose 3/4 go into 7 1/2

Answers

3/4 goes into to 7 1/4 6 times
His right or she’s right

3+(7-5)to the power of 2 x 6

Answers

Answer:

27

Step-by-step explanation:

PEMDAS

That is the order that you should solve complex equations

You first do equations in Parentheses

Then exponents

Then Multiplication or Division (whichever comes first in the equation)

Then Addition or Subtraction (again, whichever comes first in the equation)

So we first do the equation in parentheses, 7 - 5

7 - 5 = 2

Then we do the exponent (to the power of 2)

2 to the power of 2 is 4 (fun fact. 2 + 2 is the only equation that is the same in addition form and multiplication form)

Next, we multiply 4 by 6

4 x 6 = 24

And finally addition

3 + 24 = 27

3 which number line best represents 2÷1/4​

Answers

Answer:

the second choice

Step-by-step explanation:

2 has to be divided into 8 parts in total which is shown by option B

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