lim x>-1 x^2-x-2/x+1

Answers

Answer 1

Answer:

-3

Step-by-step explanation:

If we directly evaluate the function at -1, we get 0/0, meaning we may still have a limit to find.

In this case, factoring the polynomial at the top would be helpful.

The polynomial can be factored to (x+1)(x-2), so the function would now turn out to be (x+1)(x-2)/(x+1)

The (x+1) cancel out, leaving you with (x-2), which you can directly evaluate by plugging in x as -1:

-1-2 = -3

Quick disclaimer: the function is still undefined at -1; it's just that the function gets closer and closer to -3 as you approach -1.

I hope this helped you.


Related Questions

Solve 4,000 ÷ 80 = what

Answers

Answer:

50

Step-by-step explanation:

i asked alexa so yeaaa

A factory makes sheets of metal that are 4 5/8 inches thick. If a worker at the factory makes
a stack of 5 of the sheets, how many inches thick will the stack be?
Write your answer as a fraction or as a whole or mixed number.

Answers

23 1/8

5 (4 + 5/8)
20 +3 1/8
23 1/8

What’s the answer to this question HELP ME !!

Answers

Answer:

x=6

Step-by-step explanation:

The picture is a little unclear but I hope this is true...

To find the perimeter you need to add the sides of the triangles and the question says that the perimeters of the triangles are equal. So,...

(2x+4)+(2x)+(2x+3)=(3x+1)+(2x)+(2x)

2x+4+2x+2x+3=3x+1+2x+2x

4+2x+3=3x+1

7+2x=3x+1

2x-3x=1-7

-x=-6

x=6

the question is in the picture can someone PLSSS answer!!!
i will mark brainliest!!

Answers

Answer:

the third one im pretty sure

Step-by-step explanation:

Finish this for points fractions to decimals

Answers

1:  0.7142857143

2:  0.04761904762

3:  0.2142857143

4:  0.8666666667

5:  0.2727272727

6: 0.3888888889

7:  0.3333333333

8:  0.4444444444

9:  0.3333333333

10:  0.3571428571

11:    0.36

12:  0.8

13:  0.2307692308

14:  0.875

15:  0.8

16:  0.04761904762

3. Select two numbers that have 4 as their greatest
common factor. Mark all that apply.
12
Part
A 2,4
B
4,8
C
8. 12
D 8. 16
E
12. 24
I’m

Answers

Answer:

B and C

Step-by-step explanation:

All others have higher factors than 4

Answer:

B,(4,8) &C,(8,12)

Step-by-step explanation:

A,(2,4)=2=2

4=2^2(GCF of 2&4 is 2)

B,(4,8)=4=2^2

8=2^3(GCF of 4&8 is 4)

C,(8,12)=8=2^3

12=2^2*3(GCF of 8&12 is 4)

D,(8,16)=8=2^3

16=2^4(GCF of 8&16 is 8)

E,(12,24)=12=2^2*3

24=2^3*3(GCF of 12&24 is 12).

i hope it helps you

Please help me this is a big grade for me and I’m very confused on this whole page

Answers

Answer: 5) 2, -8, 32, _,_

I believe that it would be -64, then 128

Step-by-step explanation:

Bc its positive then negative and its being multiplied by -4 each time so when you mutiply a negative to a negative its a positive which is were the positives and negatives come from. :)

URGENT!!!!!!!!!!! 25

Answers

Answer:

Geometry so easy

Step-by-step explanation:

You can do it..

What is StartFraction 5 Over 8 EndFraction divided by One-fourth?

Answers

Answer:

[tex]\frac{5}{2}[/tex] improper fraction or [tex]2\frac{1}{2}[/tex] mixed number

Step-by-step explanation:

To find the answer you would need to do [tex]\frac{5}{8}[/tex] divided by [tex]\frac{1}{4}[/tex]

Hope this helps!

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

What is Algebra?

Algebra is the study of algebraic expressions, while logic is the manipulation of those concepts.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This rule is used to answer the problem correctly and precisely.

The numbers are given below.

5/8 and 1/4

Then the division of the numbers 5/8 and 1/4 will be given by putting a division sign between them. Then we have

⇒ (5/8) ÷ (1/4)

⇒ (5/8) x (4)

⇒ 5/2

⇒ 2.5

The division of the fraction numbers 5/8 and 1/4 in the decimal form will be 2.5.

More about the Algebra link is given below.

https://brainly.com/question/953809

#SPJ2

Jamier buys a bus pass for $30. Every time he rides the bus, money is deducted from the value of the pass. He rode 12 times and $24 was deducted from the value of the pass. How much does each bus ride cost?

Answers

Each bus ride costs $2

Answer:

each bus has cost $2 thats it

The Jayden family eats at a restaurant that is having a 15% discount promotion. Their meal costs $78.74
before the discount, and they leave a 20% tip. If the tip applies to the cost of the meal before the
discount, what is the total cost of the meal? Round your intermediate calculations and answer to thenearest cent.

Answers

Answer:

it is 82.53 round to 82.50 ithink

A class of 28 students has four more than two times as many
boys as girls. How many of the students are girls?

Answers

Answer:

there are 8 girl students

Step-by-step explanation:

28-4= 24

28 divided by 3 is 8

8x2=16

16+4=20

20+8= 28

therefore... there are 8 girls in the class

7. In January, a small business had a profit of $6. In
February, the company lost $9. What was the
company's total profit or loss for January and February?

Answers

Answer:

The company lost 3 dollars

9-6= (-3)

Step-by-step explanation:

Can someone please help me

Answers

Problem 1

Answer:  Choice B) x = -2

------------------

Explanation:

Add the equations straight down.

The x terms add to 5x+(-3x) = 2x

The y terms cancel out since 3y+(-3y) = 0y = 0

The right hand sides add to -7+3 = -3

After adding the equations you should get 2x = -4 which solves to x = -2

=====================================================

Problem 2

Answer:  y = 4

------------------

Explanation:

Since 5x = 0, this means x = 0 after dividing both sides by 5.

Use this to find y

y = -4x+4

y = -4(0)+4

y = 4

If you want the value of z, then

x = -3y+z+6

0 = -3(4)+z+6

0 = z-6

6 = z

z = 6

The width of a rectangle is 5 times the length. If the perimeter is 72, find the dimensions of the rectangle.

Answers

Answer:

l=6

b=30

Step-by-step explanation:

b=5l

perimeter= 72

2(l+b)= 72

l+b= 36

l+5l= 36

6l= 36

l= 6

b=5l= 6*6= 30

How can i use multiplication/division to calculate a percent of a number?

Answers

Answer:

for example you are given a percentage and numbers you cross multiply

Step-by-step explanation:

hope it helps cause I don't know how to explain the answer

what do you mean by '^' next to everything?

Answers

Answer:

power of for example 4 to the power of 2. 2 means square

someone please help me with this !! Put it in order !! will mark as brainlest!!

Answers

Answer:

i dont no hindi ko alam eh

Step-by-step explanation:

-Given

-4

-Divison Property Of Equality

-3

Helpppppppp againnnnnn

Answers

Answer:

100.40

Step-by-step explanation:

if 6 members has paid, then the remaining 8 will be 8 x 12.55 = 100.4

Answer:

The answer is $100.40

Step-by-step explanation:

ok. their are 14 members. 6 members payed their dues in week 1. so, subtract 6 from 14.    14 - 6 = 8.    Now, the due is $12.55. 8 members payed their dues in week 2, so multiply 8 by 12.55.     8 x 12.55 = 100.50    the answer SHOULD be $100.50 i would think, but there is not an option for that. so, i would pick option 4, because that is .10 off from 100.50. Good luck!!

1.) 15 — 2y = Зу Help!!!​

Answers

Answer:

y=3 the answer is 9 to the equation

Please help me i don’t understand it :(

Answers

Answer:

Step-by-step explanation:

Explaining the Basic Concept:

This is a piecewise function, which means that it is made up of several different functions which all have different domains

In this question, we have 3 'pieces' in our piecewise function

the domain of each piece is:

1.   x < -1

2.  -1 ≤ x ≤ 2

3.  x > 2

we will use the function related with the respective domain

Finding the values of the function:

h(-4)

Here, our input value is -4

we notice that -4 is in part of the first domain

therefore, -4 is in the domain of the first function

So, we will use the first function

h(x) = -(x/4) + 2           (for x < -1)

replacing x with -4

h(-4) = -(-4/4) + 2

h(-4) = 1 + 2

h(-4) = 3

h(1):

Here, our input value is 1

we notice that 1 is a part of the second domain

Hence, 1 is in the domain of the second function

So, we will use the second function

h(x) = -(x-1)² + 2            (for -1 ≤ x ≤ 2)

replacing x with 1

h(1) = -(1-1)² + 2

h(1) = -(0)² + 2

h(1) = 2

h(2):

Here, out input value is 2

We notice that 2 is a part of the second domain

Hence, 2 is a part of the domain of the second function

So, we will use the second function

h(x) = -(x-1)² + 2            (for -1 ≤ x ≤ 2)

replacing x with 2

h(2) = -(2-1)² + 2

h(2) = -(1)² + 2

h(2) = - 1 + 2

h(2) = 1

Therefore:

h(-4) = 3

h(1) = 2

h(2) = 1

which of the following describes controlled variables
A what you change for testing
B what you keep the same
C what you measure

Answers

Answer:

b, controlled variables are constant and unchanged

Answer: B) What you keep the same

A controlled variable is what is held constant. When doing an experiment, it is ideal to only focus on one variable at a time while keeping everything else in check. This way you can compare two items effectively.

In contrast, a manipulated variable is one that is intentionally changed to see how it affects the subject. For example, if you're testing various fertilizers, then the fertilizer brand would be the manipulated variable. The soil, moisture, amount of sunlight, and other environmental factors are kept the same (each subject gets the same about of each) making them to be controlled variables.

What is the prime number?​

Answers

Answer:

In math, prime numbers are whole numbers greater than 1, which have only two factors – 1 and the number itself. Prime numbers are divisible only by the number 1 or itself. For example, 2, 3, 5, 7, and 11 are the first few prime numbers.

Step-by-step explanation:

hope this helps :)

A mixture requires 4 cups of water for every 7 cups of flour used. How many cups of water should be used with 28 cups of flour

Answers

Answer:

16 cups of water

Which equation has no solution

Answers

The answer is C because the variables sum up equally on both sides

Answer:

d

Step-by-step explanation:

what is three times three

Answers

Answer:

9

Step-by-step explanation:

3x3=9

its nine bruhhhhhhhhhhhhh

3 times 3 = 9

( that was simple lol )

4 1/3 x 3/5 express your awnser in simplest form.

Answers

Answer:

2 3/5

Step-by-step explanation:

Which answer choices fit in the pattern below? Select all that apply.

18, 28, 38, ___, ___, ___
BTW I DONT WANT TO DO THIS SO TY FOR WHOEVER DOES IT

Answers

Answer:

18,28,38,48,58,68

Step-by-step explanation:

You are adding by 10 every time

Determine the range of the function.
y=1/4x^2 - 5



a.All real numbers.

b.All integers less than or equal to -5.

c.All integers greater than or equal to -5.

d.All real numbers greater than or equal to -5.

Answers

Answer:

[tex]Solution: f(x)\ge-5\\Interval:[-5,\infty)[/tex]

Step-by-step explanation:

Equation: [tex]\frac{1}{4} x^2-5 = y[/tex]

1). [tex]\frac{1}{4} x^2-5 = y[/tex] →[tex]\frac{x^2}{4}-5=y[/tex]

2). [tex]\frac{x^2}{4}-5=y[/tex] ∴ [tex]a=\frac{1}{4}, b=0, c=-5[/tex]

3). [tex]x_v=-\frac{b}{2a}[/tex]

         [tex]=-\frac{0}{2(\frac{1}{4})}[/tex]

         [tex]=0[/tex]

4). now plug [tex]x_v[/tex] into [tex]y_v[/tex]

[tex]y_v=\frac{0^2}{4}-5[/tex]

    [tex]=-5[/tex]

5). Minimum (0,-5) ∴ [tex]f(x)\ge-5[/tex]

PLEASE HELP!!!!!




A line passes through the point (-8, -9) and has a slope of -
5
4
Write an equation in slope-intercept form for this line.

Answers

Answer:

  y = -5/4x -19

Step-by-step explanation:

It is often convenient to simplify a point-slope form of the equation.

  y = m(x -h) +k . . . . . line with slope m through (h, k)

  y = -5/4(x -(-8)) -9 . . . . fill in given values

  y = -5/4x -10 -9

  y = -5/4x -19

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