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

Solve.
12.25 = 2.5 =
4.9
4.5
6.5
0.49

Answers

(If this is the correct symbol)
12.25 divided by 2.5= 4.9

Hope this helps

Have a great day/night

Which point represents 2?

Answers

Answer:

The answer is simple

Step-by-step explanation:

The answer is B, on a line graph the order goes from 0, 1, 2, 3 and so on without this order you can't use negative terms without a equation  

2x + 5 = 13
What is the answer and the steps for this equation

Answers

Answer: 4
Subtract 5 from both sides
You end up with 8
Divide 2 by 8
You end up with x=4

2x + 5 = 13

2x = 13 - 5

2x = 8

*divide both sides by 2*

x = 4

how do you do this , i need help!!

Answers

Answer:

i dont know

Step-by-step explanation:

Answer:

112º

Step-by-step explanation:

(you may need a calculator for this)

first let's start with what we know, we know a triangle has 180º. We also know a line has 180º. if you know the line has 180º, then ? + 126 º = 180º. so if you subtract 126 from 180, you get 54. now lets look at the triangle, we know the triangle has 180º in total. we already know one angle is 58º, and we just figured out the other is 54º. if you do 54+58, you get 112. remember, the triangle has 180 degrees in total, and two of them equal 112º, so 180 - 112 is 68. almost there! now we have to do the line trick again, because on the line, 68 + x = 180. 180- 68 is 112, so the answer is 112º. Hope this helps :D

Ap ex: What is the solution to this system of equation?
y = x - 4 y = -0.5x + 8
a. (4,2)
b. (8,4)
c. (4,8)
d. (2,4)

Answers

Answer:

x = 8, y = 4

Step-by-step explanation:

y = x - 4

y = -0.5x + 8

y = y

x - 4 = -0.5x + 8

x + 0.5x = 8 + 4

1.5x = 12

x = 12/1.5

x = 8

To get "y" substitute the 8 for the "x" value in any of the two equations (they will both give the same answer.)

y = (8) - 4

y = 4

OR

y = -0.5(8) + 8

y = -4 + 8

y = 4

The answer is B, because the answer is (8,4)

90 Points! Select the correct answer. (Screenshot attached)

Answers

[tex]\\ \rm\Rrightarrow \sqrt[3]{686x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{343(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow \sqrt[3]{7^3(2)x^4y^7}[/tex]

[tex]\\ \rm\Rrightarrow 7xy^2\sqrt[3]{2xy^2}[/tex]

Option C

Michael reads 12 pages of a book in 18 minutes, 8 pages in 12 minutes, and 20 pages in 30 minutes. I’d this a proportional relationship? What does it represent? Write an equation to represent this situation.

Answers

Answer:

Y= 1.5x

Step-by-step explanation:

What you would do is divide all of the minutes by the amount of pages to find how long for each rate for one page. (ex. 18/12, Michael reads 1 page in 1.5 minutes. 12/8, Michael reads 1 page in 1.5 minutes. 30/20, Michael reads one page in 1.5 minutes) Therefore, yes it is proportional, and the equation is y=1.5x (there is no y intercept)

I hope this will help

Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of .5 m/s2. What is her final velocity?​

Answers

the answer to your question is .5 x 25 over 20

If Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s². then 12.25 m/s is the final velocity.

What is Velocity?

Velocity is the distance covered by an object in unit time.

Given that,

Summer (starting from rest) runs from the 20 m mark to the 35 m mark with an acceleration of 5 m/s²

a=0.5 m/s²

s is distance=35-20=15

We have a formula with velocity, acceleration and distance

Now v²=2as

Here v is velocity=2

a is acceleration=5

s is the distance.=15

v²=2×5×15

The multiplication value of 2×5×15 is 150.

v²=150

Take square root on both sides

v=√150

v=12.25 m/s

Therefore final velocity is 12.25m/s.

To learn more on velocity click:

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What happens to a figure that is dilated by a factor of ½ .

Answers

Answer:

i really dont know

Step-by-step explanation:

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!

For lawn mowing, Jeremy charges a flat fee of $5 plus $10 per hour. Write an equation for cost and hours of lawn mowing. What is the slope?

Answers

Answer:

y = 10x+5

Slope is 10 dollars per hour

Step-by-step explanation:

y = mx+b where m is the slope and b is the y-intercept or flat fee, here.

b = 5

10 per hour means m = 10

what is the equation of the line given the table

Answers

Answer:

y=3x-1

Step-by-step explanation:

A store offers four different brands of a product. It decides to eliminate one
brand based on the likelihood a customer will return that brand. The table
shows the number of items of each brand that were returned over the past
year and the total sold.
Returns
Total sold
Brand A
28
594
Brand B
15
426
Brand C
27
664
Brand D
25
313
Which brand should the store consider eliminating?
I

Answers

Answer:

28/594 X 100= 4.7 %

15/426 X 100 =3.5%

27/664 X 100=4.1%

25/313 X 100=8%

they should eliminate brand d

Simplify (2/3)^3 (1/5 *2/3)^-3 (1/5)^4

Answers

Answer:

1/5

Step-by-step explanation:

im pretty sure thats it! and have a great day!

Answer:1/5 or 0.2

by-step explanation:

solve the square root of 2x-5=x-4​

Answers

Answer:

Simplifying
2x + -5 = x + -4

Reorder the terms:
-5 + 2x = x + -4

Reorder the terms:
-5 + 2x = -4 + x

Solving
-5 + 2x = -4 + x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-1x' to each side of the equation.
-5 + 2x + -1x = -4 + x + -1x

Combine like terms: 2x + -1x = 1x
-5 + 1x = -4 + x + -1x

Combine like terms: x + -1x = 0
-5 + 1x = -4 + 0
-5 + 1x = -4

Add '5' to each side of the equation.
-5 + 5 + 1x = -4 + 5

Combine like terms: -5 + 5 = 0
0 + 1x = -4 + 5
1x = -4 + 5

Combine like terms: -4 + 5 = 1
1x = 1

Divide each side by '1'.
x = 1

Simplifying
x = 1

Write the inequality this number line represents.

Answers

Answer:

[tex]x\leq 2[/tex]

Step-by-step explanation:

Since the bot is filled in it is going to include [tex]\leq[/tex] or [tex]\geq[/tex]

Since the arrow is pointing to numbers below 2, 2 must be bigger. This is the answer:

[tex]x\leq 2[/tex]

look at this please it would really help

Answers

i don’t know the answer to all but hopefully this will help u out a little bit:
0 hours would be 0 dollars of course
0.5 hours would be $2.50
1 hour would be $5
2 hours would be $10

please help, precalculus will report false answers

Answers

ExplanationGiven the equation.

[tex]f(x) = \frac{ {2}^{x} }{x} [/tex]

Consider each terms for both numerator and denominator.

Numerator

[tex]y = {2}^{x} [/tex]

The function family is exponential when separating the denominator out of numerator.

Exponential family have the equation of

[tex]y = {a}^{x} [/tex]

Denominator

[tex]y = x[/tex]

The function family is linear when separating the numerator. The equation for linear family is only

[tex]y = mx + b[/tex]

We combine both exponential and linear by dividing the exponential with linear.

AnswerWe divide the exponential function by a linear function.

what expression is equivalent to h + 5 + 3 - 2h​

Answers

8 - h is equivalent to h+5+3-2h

We want to combine like terms. So 5+3=8, and -2h + 1h = -1h. We can rewrite the expression as 8 - h.

The equivalent expression of h + 5 + 3 - 2h​ is -h+8.

What are the equivalent expressions?

Expressions that are equivalent to the same thing, even when they have distinct appearances. When we enter the same value(s) for the variable, two algebraic expressions that are equivalent have the same value (s).

We have the expression:

h + 5 + 3 - 2h​

To find the equivalent expression:

We simplify the expression,

h + 5 + 3 - 2h​

= h -2h +5+ 3

= -h +8

-h+8 is the equivalent expression of h + 5 + 3 - 2h​.

Therefore, -h +8 is the equivalent expression.

To learn more about the equivalent expression;

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25 members, Each student must pay an entry fee of $7.25 for a helmet fee. the total cost for the roller skate trip is $443.75. What is the entrance fee for one student?

Answers

Answer:

I believe the answer is $10.1 each

Step-by-step explanation:

Well if u multiply 7.25 by 25 you get 181.25 so you can subtract that by 443.75 you will get 252.5 after that divide it by 25 and u get 10.1.

I hope it help's

I need help with these 2.

Answers

I believe question two is 15 and I don’t know about the top one
The first one is 60cm and the bottom one is 21 I just took the test

Population density is the number of people per unit of area. The population density of a certain region is 50 people per square kilometer. If the region covers 25 square​ kilometers, what is the population of the​ region?

Answers

Answer:

1250 people

Step-by-step explanation:

Population density = total population / land area

Population density = 50

total population = x

land area 25

50 = x / 25

x = total population = 50 x 25 = 1250 people

roberts mom gave him $9 to buy groceries. she told him to buy a loaf of bread and as many quarts of milk as he could with the money she gave him. a loaf of bread costs $2.20 and a quart of milk costs 1.20. if x represents the number of quarts of milk robert buys, which inequality represents this situation

Answers

Answer:

he can buy 5 quarts of milk

Step-by-step explanation:

12. Which explains whether the relation shown is a function?

A) The relation is a function since it is continuous.

B) The relation is not a function since it is not symmetrical

C) The relation is a function since it passes the vertical line test

D) The relation is not a function since it does not pass the horizontal line test.

Answers

Answer:

C

Step-by-step explanation:

the vertical line test is when you check to see if a point of the graph is passed twice. in this case it does pass the vertical line test. therefore, it is a function.

Answer C final answer: C

Measure of angle CXF

Answers

50°

angle CXF and DXF are complementary which means they add to 90°

to 40° + x = 90
x = 50

Colin invests £1100 into his bank account. He receives 5% per year simple interest. How much will Colin have after 6 years?

Answers

Answer:

£1430

Step-by-step explanation:

Given data

Principal =£1100

Rate= 5%

time = 6 years

The simple interest formula is

A=P(1+rt)

substitute

A=1100(1+0.05*6)

A=1100(1+0.3)

A=1100(1.3)

A=1100*1.3

A=£1430

Hence the balance is £1430

I REALLYYYYY NEED HELP PLSSSS NO DUM ANSWERS I SERIOUSLY NEED HELP

Answers

Answer:

First blank: 869x

Second blank: 17,575

D

Step-by-step explanation:

Men (f): 389x + 7500

Women (g): 480x + 10075

Equation: (f + g)

Equation: 389x + 7500 + 480x + 10075

Combine like terms

869x + 17575

Equation: 869x + 17,575

Match each graph to its equation below.

Answers

The correct matching will be given as A-1, B-3, and C-2.

What is the parabola?

It's the locus of a moving point that keeps the same distance between a stationary point and a specified line. The focus is a non-movable point, while the directrix is a non-movable line.

The general equation is given below.

y = ax²

If the value of a is negative then downward parabola and if the value of a is positive then upward parabola.

If the value of a is less than one then parabola shrinks and if the value of a is more than one then parabola spreads.

Graph A is upward and shrinks parabolas so the equation will be y = x⁸.

Graph B is downward parabolas so the equation will be y = -3x⁸.

Graph C is upward and wider parabolas so the equation will be y = 0.25x⁸.  

Then the correct matching will be given as A-1, B-3, and C-2.

More about the parabola link is given below.

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It's due today pls help me out

Answers

Answer: 6(5w+2)

Step-by-step explanation: Factor 30w+12

She ran 13.04 seconds per 100 meters, how fast was she running in meters per hour?

Answers

Answer:

27607.3619632 meters per hour

Step-by-step explanation:

She was running 7.6 m/s 3600 seconds in a hour

3600x7.6=27607.36

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