Consider the function f(x) = x3 − 4x2 + 2. Calculate the limit of the difference quotient at x0 = 3 for f(x).

Answers

Answer 1
Answer:
The answer is -5
Step-by-step explanation:
i know that because i just did this problem
Answer 2
-5 I just did that problem

Related Questions

15 Points, please help me dude I keep getting troll answers. ​

Answers

64

x=154(vertically opposite angle)

d =p

then mpn =154-90 = 64

angle epm is straight angle

simplify the expression

4x(x + 1) (3x − 8) (x + 4)

Answers

Answer:

4×(x+1)(3x-8)(x+4)= (4x²+4)(3x-8)(x+4)= (12x³-32x²+12x²-32)(x+4)= (12x³-20x²-32)(x+4)= 12x⁴+48x³-20x³-80x²-32x²-128x= 12x⁴+28x³-112x²-128x

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.
(A) Assuming that daily cost and production are linearly related, find the total daily cost, C, of producing x golf clubs.
(B) Graph the total daily cost for 0≤x≤ 200.
(C) Interpret the slope and y intercept of the cost equation.
(A) C =
(Simplify your answer. Use integers or fractions for any numbers in the oxpropion

Answers

The function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

What is linear equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.

We have:

A plant can manufacture 50 golf clubs per day at a total daily cost of $4671 and 70 golf clubs per day for a total cost of $5871.

Let's suppose x is the fixed cost and y is the variable cost.

4671 = 50y + x …(1)

5871 = 70y + x …(2)

1200 = 20y

y = 60

x = 1671

Total cost:

C(g) = 1671 + 60g

g is the number of golf per day.

Slope = 60

y- Intercept = 1671 (from the graph)

Thus, the function C(g) that represents the total daily cost, C, of producing x golf clubs is C = 1671 + 60g

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There is a pair of parallel sides in the following shape 6,4,8 what is the area of the shape?

Answers

The answer to the question is 192

g more than the quotient of b
and f

Answers

The expression: g > b/f

a simple question
1. Why x/∞=0 for x real numbers. can you explain it?
2.why x/0 for x real numbers is infinity (∞)?

STOP COPY PASTE THIS IS NOT A SERIOUS QUESTION BUT BECAUSE I AM CURIOUS!
DON'T ANSWER JUST FOR A POINTS BUT TO HELP PEOPLE!​

Answers

Neither of these statements are true.

x/∞ = 0 is a nonsensical statement. It's more accurate to say

[tex]\displaystyle \lim_{y\to\infty} \frac xy = 0[/tex]

for any real number x. The important bit is that y is an arbitrarily large number as it approaches ∞. To convince yourself that this expression approaches 0 as y gets larger and larger, try fixing x and pick any increasing sequence of numbers for y.

For example, let x = 1 and take y from the sequence of increasing powers of 10, {10, 10², 10³, …}, which grows without bound. Then

1/10 = 0.1

1/10² = 0.01

1/10³ = 0.001

and so on. Naturally, the larger the power of 10 and thus the larger y gets, the closer x/y gets to 0.

Similarly, x/0 is nonsense, but the "limit-ized" version of the claim is also incorrect. For any fixed real number x, the limit

[tex]\displaystyle \lim_{y\to0} \frac xy[/tex]

does not exist. Suppose x > 0. If y approaches 0 from above, then y > 0 and x/y > 0 and

[tex]\displaystyle \lim_{y\to0^+} \frac xy = +\infty[/tex]

which you can convince yourself is true by reversing the example from before. Let x = 1 and take y from the sequence of decreasing powers of 10, {1/10, 1/10², 1/10³, …}, which converges to 0. Then

1/(1/10) = 10

1/(1/10²) = 100

1/(1/10³) = 1000

and so on. The smaller y gets (while still being positive), the larger x/y becomes.

But now suppose y < 0 and that y approaches 0 from below. Then x/y < 0, and

[tex]\displaystyle \lim_{y\to0^-} \frac xy = -\infty[/tex]

The limits from either side do not match, so the limit as y approaches 0 does not exist.

You can use the same reasoning for when x < 0.

The case of x = 0 is special, however. Since y is approaching 0, it's never actually the case that y = 0. 1/y is then some non-zero real number, and multiplying it by x = 0 makes x/y = 0. Then

[tex]\displaystyle \lim_{y\to0} \frac 0y = 0[/tex]

So in general,

[tex]\displaystyle \lim_{y\to0} \frac xy = \begin{cases}0 & \text{if }x = 0 \\ \text{does not exist} & \text{otherwise}\end{cases}[/tex]

Which system of inequalities is shown?
AY
O A. y>x
y> 2
OB. y y<2
OC. y y> 2
OD. y> x
y< 2
119
-5
S

Answers

The correct answer is option C.Which is the inequalities that show the graphs are y < x and y > 2.

What is a graph?

A graph is the representation of the data on the vertical and horizontal coordinates so we can see the trend of the data.

The inequality which is shown in the figure is y < x and y > 2.We can see in the graph when you plot y > 2 then it will cover all the values greater than 2 in the graph.

Similarly, if we plot the inequality y < x on the graph it will cover all the values of y which are less than x and intersect at the point ( 2, 2).

Therefore the correct answer is option C.Which is the inequalities that show the graphs are y < x and y > 2. The graph is attached with the answer below.

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MATH dsjahfdhajspjihfjido

Answers

The interval at which the function decrease is (-2,0) and the number of tulip bulb in the garden is 12.8

The intervals at which the function decrease?

From the table, we can see that the value of the function decreases from 12 to 3 and finally to 0, when the values of x increase from -2 to 0

Hence, the interval at which the function decrease is (-2,0)

The square garden

The square garden has a side length x.

So, the area (A) of the garden is:

A = x²

From the question, we understand that 5 tulip bulbs are to be planted per unit area.

This means that the number of bulb in the garden is:

n = 1/5 * x²

Evaluate

n = 0.2x²

When the side length of the garden is 8, we have:

n = 0.2 * 8²

Evaluate

n = 12.8

Hence, the number of tulip bulb in the garden is 12.8

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Find the solution
a2-b2=9
a.b=3
a+b=?

Answers

Answer:

a

2

=9a+b

2

Step-by-step explanation:

Answer:

Step-by-step explanation:

(a²+b²)²=(a²-b²)²+4a²b²=(a²-b²)²+4(ab)²=9²+4×3²=9²(1+4)

a²+b²=3√5

(a+b)²=a²+b²=2ab=3√5+2(3)=3(2+√5)

a+b=√3√(2+√5)

AABC is reflected across the x-axis and then dilated by a factor of 2 using the
point (-2, 1) as the center of dilation. What is the transformation of A(3, 1)?
6-
C(2,4)
4
B (5, 3)
2+
A (3.1)
4
-2-
OA. A(-6, 2)
B. A (6, -2)
C. A (8,-3)
D. A(3,-1)
-4
-2
N+
746
+00
8
10

Answers

The transformation of A is A' = (8, -3)

How to determine the transformation?

From the graph, we have:

A = (3,1)

The scale factor and the center of dilation are given as:

k = 2

(a,b) = (-2,1)

The rule of reflection across the axis is:

(x,y) ⇒ (x,-y)

So, we have:

A' = (3,-1)

The rule of dilation is represented as:

(x,y) ⇒ (k(x - a) + a, k(y - b) + b)

So, we have:

A' = (2(3 + 2) - 2, 2(-1 - 1) + 1)

Evaluate

A' = (8, -3)

Hence, the transformation of A is A' = (8, -3)

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6^2-4(3-√25)^2/|4-8|
the answer is 5 but im not sure on the steps and how to get 5, please help tysm :)

Answers

I'm going to assume you start with

[tex]\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|}[/tex]

Let's simplify some pieces of this:

[tex]6^2 = 6\times6 = 36[/tex]

[tex]\sqrt{25} = \sqrt{5^2} = 5[/tex]

[tex](3 - \sqrt{25})^2 = (3 - 5)^2 = (-2)^2 = (-2)\times(-2) = 4[/tex]

[tex]|4 - 8| = |-4| = 4[/tex]

So as a first step we can reduce this to

[tex]\dfrac{6^2 - 4 (3 - \sqrt{25})^2}{|4 - 8|} = \dfrac{36-4\times4}4[/tex]

Now,

[tex]36 = 9\times4[/tex]

so every term contains a factor of 4 that we can cancel:

[tex]\dfrac{36-4\times4}4 = \dfrac{9\times4-4\times4}4 = \dfrac{9-4}1 = 9-4 = \boxed{5}[/tex]

as expected.

these box plots show daily low temeratures for a samle of days in two different towns
which statement is the most appropriate comparsion of the centers

Answers

The correct statement about the center of both box plots is the median for Town A, 30° is greater median for Town B, 25°

What is the correct statement?

A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum numbers.

On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.

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Simplify the expression. Write your answer as a power.
((-3)²)⁴
The simplified expression is

Answers

Answer:

this is your answer

[tex] {9}^{4} [/tex]

Answer:

[tex]\large{\sf \boxed{(\sf -3)^8}}[/tex]

Explanation:

[tex]\rightarrow \sf ((-3)^2)^4[/tex]

apply exponent rule: [tex]\sf \bf \left(a^b\right)^c=a^{bc}[/tex]

[tex]\rightarrow \sf (-3)^8[/tex]

What is bigger 1.97x 1.97 × 0.11 inches or 1.89 x 5.42 x 5.2 inches

Answers

Answer:

1.89 x 5.42 x 5.2 inches

Step-by-step explanation:

Use your calculator or multiply it yourself, times all of them together.

1.89 x 5.42 x 5.2 is bigger than 1.97 x 1.97 x 0.11

You wish to take a flight from Nevada to New York. Use the point (-4, 0) to represent Nevada, and the (5, 2) to represent New York. The airline has partitioned the flight so that you have a layover. The flight distance is partitioned in a ratio of 3:1. Determine the ordered pair that represents the location of the layover.

Answers

Using proportions, it is found that the ordered pair that represents the location of the layover is given by: (2.75, 1.5).

What is a proportion?

A proportion is a fraction of a total amount, and the measures are related using a rule of three.

In this problem, the flight distance is partitioned in a ratio of 3:1, hence:

L - Nv = 3/4(Ny - Nv).

This ratio is applied for both coordinates, hence, for the x-coordinate:

[tex]x + 4 = \frac{3}/{4}(5 + 4)[/tex]

[tex]x = \frac{27}{4} - \frac{16}{4}[/tex]

[tex]x = \frac{11}{4}[/tex]

x = 2.75.

For the y-coordinate:

[tex]y = \frac{3}/{4}(2 - 0)[/tex]

[tex]y = \frac{6}{4}[/tex]

x = 1.5.

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Carlita has a swimming pool in her backyard that is rectangular with a length of 24 feet and a width of 14 feet. She wants to install a concrete walkway of width c around the pool. Surrounding the walkway, she wants to have a wood deck that extends w feet on all sides. Find an expression for the perimeter of the wood deck.

Answers

The required, expression for the perimeter of the wood deck is 4w + 76 + 8c.

The length of the rectangular region will be the original length of the pool plus twice the width of the walkway since the walkway will extend out from both sides of the pool:

Length of rectangular region = 24 + 2c

Similarly, the width of the rectangular region will be the original width of the pool plus twice the width of the walkway:

Width of rectangular region = 14 + 2c

Now, to find the perimeter of the wood deck, we need to add up the lengths of all four sides of the rectangular region. Each side will have a length of w, since the wood deck extends w feet on all sides:

Perimeter of wood deck = 2(w + Length of rectangular region) + 2(w + Width of rectangular region)

Substituting the expressions we found for the length and width of the rectangular region, we get:

Perimeter of wood deck = 2(w + 24 + 2c) + 2(w + 14 + 2c)

= 4w + 76 + 8c

Therefore, the expression for the perimeter of the wood deck is 4w + 76 + 8c.

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Two independent random samples of size n1 = 50 and n2 = 75 are drawn from two very large populations: population 1 and population 2. both populations are right skewed. is the use of t procedures still valid?

Answers

Answer:

No

Step-by-step explanation:

You should only use t procedures when the sample sizes are less than 30, as that is when the Central Limit Theorem kicks in.

Essentially, t procedures are good for small samples while z procedures are better for larger samples.

[tex]-2\sqrt{15}(-8+10\sqrt{15}[/tex]

Answers

We simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

To answer the question, we need to know what surds are

What are surds?

Surds are square roots of positive integers.

Since we have  -2√15(-8 + 10√15), we simplify the expression

So, -2√15(-8 + 10√15) = -2√15 × (-8) + 10√15 × √15 (expanding the bracket)

= -2× (-8) × √15 + 10 × √(15 × 15)

=  16 × √15 + 10 × √15²

=  16 × √15 + 10 × 15

=  16√15 + 150

=  150 + 16√15

So, we simplify the expression -2√15(-8 + 10√15) = 150 + 16√15

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A graph shows the number of texts, numbered 10 to 100, on the x-axis, and the total cost in dollars, numbered 3 to 27, on the y-axis. A straight red line with a positive slope, labeled Emilia, begins at (0, 10), and a straight blue line with a positive slope, labeled Hiroto, begins at (0, 20). Both lines intersect at point (50, 22.5).
Hiroto’s texting plan costs $20 per month, plus $0.05 per text message that is sent or received. Emilia’s plan costs $10 per month and $0.25 per text. Using the graph below, which statement is true?

Answers

(50, 22.5) is the solution of the system of equations, therefore, the true statement would be: Both plans cost the same when 50 texts are sent.

What is the Solution of a System of Linear Equations?

A solution to the system of linear equations is the point of intersection where both line of each equation meet.

The solution to the system of linear equations given in the graph attached below is (50, 22.5).

(50, 22.5) implies that both plans will cost the total amount when 50 text are sent.

The true statement using the graph would be: Both plans cost the same when 50 texts are sent.

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Answer:

Both plans cost the same when 22 texts are sent

Step-by-step explanation:

on edge

which expression gives the length of arc ab of the circumference of the circle is 40 cm​

Answers

Answer:

110 / 360  * 40 pi

Step-by-step explanation:

Give circumference = 40 pi     (NOT 40 cm as posted)

AB covers a fraction of 360 complete circle   110/360 ths

  110/360   *  40 pi      units

In a mathematic test 30 students obtained the following scores
3,4,7,2,9,5,2,1,8,2,3,6,9,3,4,3,4,1,5,3,3,1,7,7,7,5,6,4,6,5
a) Prepare a frequency table for the data
b) Draw a pictogram
c) Construct a barchart

Answers

Answer:

a) Prepare a frequency table for the data

Step-by-step explanation:

Given that (a+b√3)(2-√3)= 5√3-4, find the values of a and b

Answers

Answer:

a=π-3/5,B =π-2/5

Step-by-step explanation:

product of roots

sum of roots

answer asap, thanks:)

Answers

Answer: Answer is In the step-by-step EXPLANATION.

Step-by-step explanation: Let's Begin,

Amanda and Ndiba are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and bags of daffodil bulbs. Amanda sold 6 packages of tulip bulbs and 12 bags of daffodil bulbs for a total of $198.

6t + 12d = 198

Ndiba sold 7 packages of tulip bulbs and 6 bags of daffodil bulbs for a total of $127.

7t + 6d = 127

So when you find, the cost of each package of tulips bulbs and one bag of daffodil bulbs.  

Use elimination here, multiply the 2nd equation by 2, subtract the 1st equation

14t + 12d = 254

Then, 6t + 12d = 198 -subtraction eliminates d, find t

8t + 0 = 56

t = 56/8

t = $7 for tulips

Find d using the 1st equation, t=7

6(7) + 12d = 198

42 + 12 d = 198

12d = 198 - 42

d = 156/12

d = $13 for daffodils

And I think that's it.

If UW = 9x – 9, what is UW in units?

Answers

Answer

36 units

Step-by-step explanation:

UW = UV + VW

9x-9 = 2x - 4 + 4x + 10

9x - 9 = 6x + 6

3x = 15

x = 5

UW = 9(5) - 9 = 45 - 9 = 36

answer is  36 units

The first term in an arithmetic sequence is -3. If the sequence has a common difference of 8, what is the 30th term in the sequence?

Will give brainliest to right answer :))

Answers

Answer:

229

Step-by-step explanation:

(my work for the problem is in the photo I attached)

(I also wrote this step-by-step in the photo because I can explain things better as I do them)

This will be a little bit confusing without me writing out the numbers, so mainly this is if you can't read my handwriting

  -3       + 8         =      5    ;  5       + 8    =     13

(1st term)                   (2nd term)            (3rd term)

Instead of adding 8 repeatedly (repeated addition), we can use multiplication.

To get the 3rd term in this sequence, we had to add 8 twice, which could also be done by multiplying 8 twice (8 x 2)

13 + 8 = 21

         (4th term)

to get the 4th term, we added 8 three times (or, 8 x 3)

So, if we are looking for the 30th term in a sequence, we will have to add 8, 29 times (8 x 29) to our original term.

8 x 29 = 232

-3 + 232 = 229

This means that the 30th term of the sequence will be 229.

Help which one is right?

Answers

Hope this helps! If it does please rate it the brainliest answer!

Answer:

I think it is c

Step-by-step explanation:

I graphed it


The figure, polygon ABCD is dilated by a factor of 2 to produce A B C D with the origin as the center of dilation

Answers

In the polygon ABCD, the production of point A' and point D' is (-2,-2)  and (4,-2) respectively.

What is the transformation rule?

In coordinate planes, the rule of transformation involves interchanging the x and y values on the plane such that:

[tex]\mathbf{(x,y) \to (k_x, k_y)}[/tex]

where;

k = scale factor

From the given information:

The scale factor = 2the origin as a center of dilation for image vertices = (0, 0)

Now, using the coordinate vertices:

A = (-1, -1)D = (2, -1)

The corresponding coordinate of the image vertices is as follows:

A(-1,-1) → A'(2 × (-1), 2 × (-1))

A' = (-2,-2)

D(2,-1) → A'(2 × (2), 2 × (-1))

D' = (4,-2)

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find the mode 4,4,3,9,5

Answers

Answer:

4

Step-by-step explanation:

The mode is most common, so it is 4.

mode - most common number
therefore the mode is 4

Which method correctly solves the equation using the multiplication property of equality and the reciprocal of one-third? one-third (x 9) = negative 12 one-third (x 9 = negative 12. one-third x 3 = negative 4. one-third x = negative 7. x = negative 27. one-third (x 9) = negative 12. x 9 = negative 4. x = negative 13. one-third (x 9) = negative 12. x 3 = negative 12. x = negative 15. one-third (x 9) = negative 12. x 9 = negative 36. x = negative 45.

Answers

The solution to the equation one-third (x + 9) = negative 12 is  x = -45

How to solve the equation?

The equation is given as:

one-third (x + 9) = negative 12

Rewrite properly as:

1/3 (x + 9) = -12

Multiply both sides by 3

x + 9 = -36

Subtract 9 from both sides

x = -45

Hence, the solution to the equation one-third (x + 9) = negative 12 is  x = -45

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if A squared plus B squared = C squared, what would it be if you timesd it by 2 waht would u get? ​

Answers

I’m not sure that can be answered without a given value to begin with.
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