What is Limit of StartFraction x cubed minus 1 Over x minus 1 EndFraction as x approaches 1? 0 1 3 DNE

Answers

Answer 1

Answer:

D.

(DNE)

Step-by-step explanation:

when you plug in 1 to the denominator, 1 minus 1 becomes 0. a fraction with 0 as the denominator does not exist.

Answer 2

The limit of the function f(x)=[tex]x^{3}-1[/tex]/x-1 as x approaches 1 is 3.

What is limit?

Limit is the value that a function approaches as the value of variable approaches some value. They are essential to calculas and mathematical analysis and are use to define continuity , derivatives and integrals. It can change value of function at different values of x.

How to find limit?

We have been given a function f(x)=[tex]x^{3}-1[/tex]/x-1 and we have to find the limit of function.

F(x)=[tex]x^{3} -1[/tex] /(x-1) [[tex]x^{3} -y^{3} =x^{2} +y^{2} +xy[/tex]]

[tex]\lim_{x \to \0}x^{3}-1/x-1[/tex]

[tex]\lim_{x \to \0} (x-1)(x^{2} +1+x)[/tex]/x-1

[tex]\lim_{x \to \0} x^{2} +x+1[/tex]

change limit by putting x=1-h

[tex]\lim_{h \to \0} (1-h)^{2} +1+1-h[/tex]

Put the value of h=0.

=1+1+1

=3

Hence the limit of the function [tex]x^{3}-1/x-1[/tex] is 3.

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Related Questions

determine equation (help please )

Answers

Answer: C

Step-by-step explanation:

Find the area of a square with a length of 3.5 centimeter​

Answers

Answer:

12.25 cm²

Step-by-step explanation:

(3.5 cm)² = 12.25 cm²

Oscar rides his skateboard 58

5

8

mile in 14

1

4

hour. How fast, in miles per hour, does he ride his skateboard?

Answers

Answer:

speed = distance ÷ time

58 ÷ 14

speed = 4.142

NO LINKS the picture below shows six quarters and two pennies. If this was broken
down into two separate groups, what would be the equivalent ratio to six-
seconds?

Answers

Answer:

B i took the quiz

Step-by-step explanation:

Just trust me bro

Here is a equation find x. (Please help this is due in 30 minutes!!)
-3x+7=1

Answers

Answer:
X=2
Explain:
-3x+7=1
-3x=-6
X=2

Answer:

the answer is 2

-3x+7=1 x=2

Which of the expressions below are equivalent? 8x - 4 4x 4(2x - 1)

Answers

8x-4 and 4(2x-1)




4(2x-1) the four needs to be distributed in the parentheses.

4*2x=8x
4*(-1)=(-4)

8x-4=8x-4

What is the value of v if 11 +v= 44 ?

Answers

Answer:

Hi! answer: v = 33

Step-by-step explanation:

44 - 11 = 33 11 + 33 = 44 so v = 33

Determine the center and radius of the following circle equation:
x2 + y2 – 10x + 8y + 40 = 0

Answers

Answer:

The center of this circle is (5, -4) and the radius is 1.

Step-by-step explanation:

First regroup these terms according to x and y :

x^2 - 10x + y^2 + 8y = -40

Next, complete the square for x^2 - 10x:  x^2 - 10x + 5^2 - 5^2.

and the same for y^2 + 8y:  y^2 + 8y + 16 - 16

Substituting these results into x^2 - 10x + y^2 + 8y = -40, we get:

x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40.

Next, rewrite x^2 - 10x + 25 and y^2 + 8y + 16 as squares of binomials:

Then x^2 - 10x + 5^2 - 5^2 y^2 + 8y + 16 - 16 = -40 becomes:

(x - 5)^2 + (y + 4)^2 - 25 - 16 = -40, or:

(x - 5)^2 + (y + 4)^2 = 1

This equation has the form (x - h)^2 + (y - k)^2 = r^2, where (h, k) is the center and r is the radius.  Matching like terms, we get h = 5, k = -4 and r = 1.

The center of this circle is (5, -4) and the radius is 1.

Answer:

Center (5,-4) Radius = 1

Step-by-step explanation:

Put it in the form of the standard circle equation after dividing everything by 2. (-10x/2=-5x) (8y/2=4y) Since the radius wasn't given, it's just going to be a 1.

(x-5)^2+y(-(-4))^2 = 1^2

Hence, center (5, -4) and radius 1.

help me please!!!! asap Tia​

Answers

Answer:

All of them should be marked sicne they are all less than 12.

Step-by-step explanation:

Answer:

m = 6, m = 1, m = 5, m = 7

Step-by-step explanation:

All the options are solutions of m < 12.

Math Tutor Pay: $11.44 per hour
they work 13 hours
how much do they get paid in a-
per week
per month
per year​

Answers

Answer:

Per week: $1041.04Per month: $4610.32Per year: 55323.84

Answer:

1041$/1W(M-Sun)

892$/1W(M-SAT)

744$/1W(M-Fri)

Step-by-step explanation:

Go to sleep stoo naughty

Which of the scatter plots below shows the most accurate line of best fit?


W.
X.

Y.
Z.
A.
X
B.
Y
C.
Z
D.
W

Answers

The answer should be the first image.

What can the answer be?​

Answers

Answer:

35

Step-by-step explanation:

Trust me. The two triangles are equivalent, so 90+55=145

180-145=35

What is the solution to the system of linear equations represented by the matrix equations below. Please help!!!!!

Answers

Answer: c no solution
Explanation I did the test and got it right

The system of equations has infinite solutions.

Option D is correct.

What is matrix multiplication?

Matrix multiplication is a binary operation whose output is also a matrix when two matrices are multiplied.

To multiply one matrix with another, we need to check first, if the number of columns of the first matrix is equal to the number of rows of the second matrix. Now multiply each element of the column of the first matrix with each element of rows of the second matrix and add them all.

Given

Matrix equations

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

L.H.S:

Using Matrix multiplication

[tex]\left[\begin{array}{ccc}2&4\\1&2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right][/tex]

R.H.S:

[tex]\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

[tex]\left[\begin{array}{ccc}2x+4y\\x+2y\end{array}\right]=\left[\begin{array}{ccc}6\\3\end{array}\right][/tex]

Writing equation from above matrix

2x + 4y = 6

x + 2y = 3

or

2x + 4y = 6

2x + 4y = 6

Because there are two unknown number, but the two equations are consistent.

So, the system of equations has infinite solutions.

Option D is correct.

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HELP ASAPPPP, FIRST PERSON TO HAVE THE CORRECT ANSWER WILL HAVE BRAINLIEST

What is the distance between points (8,3) and (3, 1) on the coordinate plane?


OA. 3 units
OB. 21 units
OC.29 units
OD. 7 units

Answers

Answer:

√29

Step-by-step explanation:

You would use the distance formula in this case to solve the problem:

(8-3)^2+(1-3)^2=29

Now square root 29, leaving you with √29.

Answer:

5.39

Step-by-step explanation:

√(x2 - x1)² + (y2 - y1)²

√(3 - 8)² + (1 - 3)²

√(-5)² + (-2)²

√25 + 4

√29

= 5.39

plz help me understand this question thankyou

Answers

Answer:

The mistakes were on points C and D

Step-by-step explanation:

Point C was graphed on (5,8) when it's supposed to be plotted on (5,7). Point D was on (-3,-4) but was supposed to be on (-4,-3?

Answer:

The mistakes are Point C and D

What is the slope of the line?

Answers

Answer:

7/4

Step-by-step explanation:

the slope rises 7 units then goes to the right of 4 units

what is the value of A

Answers

I think the answer is a = 4.5

81 ÷ 6 ÷ 3 = 4.5

I hope this helps, have a wonderful day!

i guess it might be right or wrong.the answer will be x value is 20.

David is planning to attend a public university after he graduates from high school in 3 years. He is devising a plan to save money each month to help with the expenses of attending the university. The cost of attending the public university for one-year is $53,600. His family has promised to contribute $32,000 each year he is in school. What is the minimum amount of money David must contribute to his savings per month for the next 3 years to have enough money to pay for his first year of tuition?

a
$450
b
$600
c
$575
d
$725

Answers

Answer:

b. 600

Step-by-step explanation:

subtract money from parents from tuition

divide by months

There are eight boys and eight girls in a
class. The teacher randomly selects one
student to answer a question. Later, the
teacher randomly selects a different student
to answer another question. The first
student is a boy and the second student is a
girl.

Answers

Answer:

Independent events - Random selection of  one

student - Selection of one boy to answer first question

Dependent Event - Selection of a girl student

Probability = 13.33 %

Step-by-step explanation:

The complete question is

Determine whether the scenario involves independent or dependent events. Then find the  probability

There are eight boys and eight girls in a

class. The teacher randomly selects one

student to answer a question. Later, the

teacher randomly selects a different student

to answer another question. The first

student is a boy and the second student is a

girl.

Solution

Independent events - Random selection of  one

student - Selection of one boy to answer first question

Dependent Event - Selection of a girl student

Probability

8C1 + 8C1/16C2

(8+8) /(8*15)

13.33 %

What is the missing length?
8
Х
17
ОА. 15
ОВ. 30
o o o
С. 8
0 D. 7

Answers

Answer:

[tex]A)15[/tex]

Step-by-step explanation:

[tex](17)^{2} =8^{2}+x[/tex]

[tex]x^2=17^2-8[/tex]

[tex]x^2=225[/tex]

[tex]x=15[/tex]

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

hope it helps...

have a great day!!

10.
Complete.

y^2 + 15y + 56 = (y + 7)(y + )

A. 8

B. –7

C. –8

D. 7

Answers

The answer to this question is A

Answer:

I would go with letter B. -7

Step-by-step explanation:

The two factors of a quadratic equation can be multiplied to form the original equation. Let the missing term be a:

y² + 15y + 56 = (y + 7)(y + a)

y² + 15y + 56 = y² + (7 + a)y + 7a

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

Step by Step Solution

More Icon

Reformatting the input :

Changes made to your input should not affect the solution:

Step by step solution :

STEP  1 :

Trying to factor by splitting the middle term

1.1     Factoring  y2+14y+49  

The first term is,  y2  its coefficient is  1 .

The middle term is,  +14y  its coefficient is  14 .

The last term, "the constant", is  +49  

Step-1 : Multiply the coefficient of the first term by the constant   1 • 49 = 49  

Step-2 : Find two factors of  49  whose sum equals the coefficient of the middle term, which is   14 .

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  7  and  7  

                    y2 + 7y + 7y + 49

Step-4 : Add up the first 2 terms, pulling out like factors :

                   y • (y+7)

             Add up the last 2 terms, pulling out common factors :

                   7 • (y+7)

Step-5 : Add up the four terms of step 4 :

                   (y+7)  •  (y+7)

           

The solution is:

  y  =  -7  

 The solution is:

 y = -14 / 2 = -7

help please!!!! thank you in advance. asap too​

Answers

You can check the following
C=4
C=5
C=11

A soda company spends $1200 per day on business expenses plus $1.10 per bottle.
They charge $2.50 for each bottle of soda they produce. How many bottles of soda
must the company sell in one day in order to equal its daily costs?

Answers

Answer: Hi

Step-by-step explanation:

Cost Price per bottle : $1.10

Selling price per bottle : $2.50

2.50 - 1.10 = 1.40

$1200=1.40B

B=858

The company must sell 858 Soda´s in order to equal it daily cost.

Hope this help. Be safe

Carlos bought 6.5 pounds of bananas for $5.20.

● What is the price per pound of the bananas that Carlos bought?


What quantity of bananas would one dollar buy?

Answers

Answer:

Each banana cost $0.80.

Step-by-step explanation:

5.20 divided by 6.5 is 0.80

Please help ASAP thank you!

Answers

Answer:

y < 3

Step-by-step explanation:

If you put the equation on a graphing calculator it shows that.

    Please give me BRAINLIEST and THANKS <( ̄︶ ̄)>

Can help me with this?

Answers

Answer:I’m sorry this is hard I don’t think I have the right answer chose C

Step-by-step explanation:

What is the numerator called in a percent problem? What is the denominator called in a percent problem ?




PLEASE I NEED HELP NOW!!!

Answers

Answer:

A percentage or percent for short is a fraction; a fraction that always has the denominator as 100. Because the denominator of a percent is always a 100, no matter what the numerator is, we replace 100 with the percent symbol % after the number. By definition, for any number x, x% = x100.

Step-by-step explanation:

Find the axis of symmetry and the vertex of the graph of f (x) = x^2 - 16 + 55

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

Vertex: (0, 39)

Axis of Symmetry: x = 0  

»»————- ★ ————-««  

Here’s why:

 I have graphed the equation on a program. When graphed, the the lowest point lies on the point (0, 39). This makes (0, 39) the vertex.

⸻⸻⸻⸻

The axis of symmetry is a vertical line that intercepts the vertex. The vertical line makes the parabola seem 'symmetrical'. The 'x' value of the vertex is usually the line of symmetry as well.

⸻⸻⸻⸻

The 'x' value of the vertex is '0', so the axis of symmetry is [tex]x = 0[/tex].

⸻⸻⸻⸻

See the graph that I have attached.

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

For equation:

[tex]f(x)=x^2-16x+55[/tex]

Vertex: [tex](8,-9)[/tex]

Axis of symmetry, ([tex]x=8[/tex])

For equation,

[tex]f(x)=x^2-16+55[/tex]

Vertex:[tex](0,39)[/tex]

Axis of symmetry, ([tex]x=0[/tex])

Step-by-step explanation:

The x-coordinate of the vertex of a parabola indicates the line of symmetry of the parabola. Thus, to solve this problem, one must find the vertex of the parabola. This can be done through a process called completing the square.

Completing the square is a process that converts a quadratic equation in standard form into vertex form. The first step is to group the linear and quadratic terms. Then factor out the coefficient of the quadratic term. After doing so, add a term to make the group a perfect square trinomial, then balance the equation.

Possibility 1

If the given equation is the following,

[tex]f(x)=x^2-16x+55[/tex]

Group,

[tex]=(x^2-16x)+55[/tex]

There is no quadratic term, thus, complete the square,

[tex]=(x^2-16x+64)+55-64[/tex]

Simplify,

[tex]=(x-8)^2-9[/tex]

Vertex: [tex](8,-9)[/tex]

Axis of symmetry, ([tex]x=8[/tex])

Possibility 2

If the given equation is the following,

[tex]f(x)=x^2-16+55[/tex]

Combine like terms,

[tex]=x^2+39[/tex]

Put in vertex form,

[tex]=(x)^2+39[/tex]

Vertex:[tex](0,39)[/tex]

Axis of symmetry, ([tex]x=0[/tex])

Please help ASAP

1.
Three times a number equals 40 more than five times the number what is the number


2.
A number equals four less than three times the number what is the number?

Answers

Answer:

Step-by-step explanation:

Martin is driving to his uncle’s farm, which is 240 mi. from home. If he drives at a constant rate of 60 mph, how long will it take Martin to get to the farm? A. 2 hr. B. 4 hr. C. 5 hr. D. 6 hr.

Answers

Answer:

4 hours

Step-by-step explanation:

240 divided by 40

Answer:

4 hours

240 divided by 60

Step-by-step explanation:

Hope it helps

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