Describe how to determine the average rate of change between x = 4 and x = 6 for the function f(x) = 2x3 + 4. Include the average rate of change in your answer.

Answers

Answer 1

Answer:

152

ΔY =  436 - 132 =304

Δ X = 6-4 = 2

ΔY/X = 304/2 = 152

Step-by-step explanation:


Related Questions

Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40) (12, 32) and (18, 48) (27, 12) and (72, 32) (45, 15) and (60, 20) (27, 2) and (243, 18) (18, 63) and (24, 84) (63, 9) and (84, 12).

Answers

Answer:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Required

Arrange in increasing order of slope

Slope (m) is calculated using:

[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]

So, we have:

(a) (15, 30) and (20, 40)

[tex]m = \frac{40 -30}{20- 15}[/tex]

[tex]m = \frac{10}{5}[/tex]

[tex]m =2.00[/tex]

(b) (12, 32) and (18, 48)

[tex]m = \frac{48 -32}{18- 12}[/tex]

[tex]m = \frac{16}{6}[/tex]

[tex]m = 2.67[/tex]

(c) (27, 12) and (72, 32)

[tex]m = \frac{32-12}{72- 27}[/tex]

[tex]m = \frac{20}{45}[/tex]

[tex]m = 0.44[/tex]

(d) (45, 15) and (60, 20)

[tex]m = \frac{20-15}{60- 45}[/tex]

[tex]m = \frac{5}{15}[/tex]

[tex]m = 0.33[/tex]

(e) (27, 2) and (243, 18)

[tex]m = \frac{18-2}{243- 27}[/tex]

[tex]m = \frac{16}{216}[/tex]

[tex]m = 0.07[/tex]

(f) (18, 63) and (24, 84)

[tex]m = \frac{84-63}{24- 18}[/tex]

[tex]m = \frac{21}{6}[/tex]

[tex]m = 3.50[/tex]

(g) (63, 9) and (84, 12)

[tex]m = \frac{12 -9}{84- 63}[/tex]

[tex]m = \frac{3}{21}[/tex]

[tex]m = 0.14[/tex]

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Answer:

From least to greatest slope, the pair of points are:

(e) (27, 2) and (243, 18)

(g) (63, 9) and (84, 12)

(d) (45, 15) and (60, 20)

(c) (27, 12) and (72, 32)

(a) (15, 30) and (20, 40)

(b) (12, 32) and (18, 48)

(f) (18, 63) and (24, 84)

Step-by-step explanation:

Which parent function is represented by the graph?

Answers

Reciprocal parent function

What is the difference of the polynomials?

Answers

Answer:

(B) mn+3

Rule of algebra: *INTEGERS*

like sign➡ add

unlike sign➡ subtract

Step-by-step explanation:

Because the m2n2 is got subtract by m and n that's why it bacames a constant mn.

Answer:

[tex](m^{2} n^{2} -7)-(mn+4)[/tex]

[tex]=m^{2} n^{2} -7-mn-4[/tex]

[tex]m^{2} n^{2} -mn-11[/tex]

Option C is your answer

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

Hope it helps...

Have a great day!!

Find the value of x. Round the length to the nearest tenth.

Answers

Answer:

7.9ft

Step-by-step explanation:

Cos44 x 11

= 7.912737804

≈ 7.9 ft

Feel free to mark this as brainliest

which of these is NOT continuous data:

A. number of days it rains in a year
B. height of the grass in a nature preserve each year
C. amount of rainfall in a year
D. level of water in a rain barrel

Answers

Answer:

A. number of days it rains in a year

Step-by-step explanation:

A. number of days it rains in a year - discrete

B. height of the grass in a nature preserve each year-continuous

C. amount of rainfall in a year-continuous

D. level of water in a rain barrel-continuous

The number of days can only be an integer and therefore is discrete data

What is the equation of the graphed line written in
standard form?

Answers

Step-by-step explanation:

You have selected the correct option

Find the BD in the image below

Answers

Answer:

x = 10

The both line crosses with a little hyphen, meaning those are same

Answered by GAUTHMATH

The answer is 10 since angle CAD is cutting the angle in half

12 5/6 - 3 5/12 - 1 1/2 =??

Answers

Answer:47/12

=3.9167

Step-by-step explanation:

Step-by-step explanation:

I hope this will help you

stay safe

When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D

Answers

C. Zeros
This is because you plug 0 into X to get the Y answer which is your x-intercept

Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x

Answers

Answer:  70  and -16

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

Explanation:

For now, we'll assume x is the largest value (aka the max)

Let's sort the values from smallest to largest.

7, 20, 26, 27, 34, 41, 47, x

We see that 7 is the smallest item, so,

range = max - min = x - 7

Set this equal to 63 and solve for x

x-7 = 63

x = 63+7

x = 70

So x could be equal to 70.

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

Next, we'll assume that x is the smallest value

That means the min is x and 47 is now the max

max - min = range

47 - x = 63

-x = 63-47

-x = 16

x = -16

So if x is the smallest value, then it must be -16

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

Finally, we'll let x be somewhere between 7 and 47

Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.

If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.

what is the probability of flipping a coin 7 times and getting heads 6 times

Answers

Answer:

7/128 or 5.46875%

Step-by-step explanation:

There are 2^7, or 128 combinations and only 7 of them have 6 heads. So the probability is 7/128, or 5.46875%.

Answer:

5.5%

Step-by-step explanation:

Find nCx=7C6=7

Then find (nCx)(P^x)(Q^n-x)=(7)(0.5^6)(0.5^1)=0.0546=5.5%

Answer the following

Answers

ii)(-8/7)=(x/21)
x=-24
(x/21)=(16/y)
(-24/21)=(16/y)
y=-14

If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0

Answers

Answer:

[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]

By factorization :

[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]

Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):

[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]

What expression is equal to (3 x 5) x 4

Answers

Answer:

60

Step-by-step explanation:

Step 1:

3 x 5 = 15

Step 2:

15 x 4 = 60

Answer:

well 3. x 5 is 15, then multiply by 4 to get 60.

Step-by-step explanation:

Ivan sabe que pir su salud debe tomar agua hervida , lleno 3 botellas de agua hervida para empezar los lleno de 7,2 L usando 3 botellas grandes y 5 botellas pequeñas , no lleno otra botella ya que le faltaba 0,5L pero lleno una pequeña mas y le quedaron 0,3L de ahua hervida para tomar ¿Cuanta agua hervida tenia al inicio ivan?

Answers

Answer:

Al inicio Iván tenía 8.1 litros de agua hervida.

Step-by-step explanation:

Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:

Botella grande = -0.5 litros

Botella chica = +0.3 litros

0.5 + 0.3 = 0.8

Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.

3X + 5(X - 0.8) = 7.2

3X + 5X - 4 = 7.2

8X = 7.2 + 4

X = 11.2 / 8

X = 1.4

3 x 1.4 + 5 x 0.6 = 7.2

7.2 + 0.6 + 0.3 = 8.1

Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.

what is the measure of arc MP

Answers

Answer: arc MP= 62 degrees

Answer:

[tex]m\widehat{MP}=118^{\circ}[/tex]

Step-by-step explanation:

In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:

[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]

Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.

Therefore, we have:

[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]

On 1 st March, 2020 Mr. Mohit started a Furniture business in GANDHI NAGAR Mr. Mohit invested Rs 50,00,000.

Answers

Answer:

Answer to the following question is as follows;

Step-by-step explanation:

Given:

Amount invested by Mr. Mohit = Rs. 50,00,000

Computation:

Books of (...... LTD)

Journal entries

Date                         Particular                        Debit        Credit

March 1         Cash                     A/C Dr.     50,00,000

                     To Capital            A/C Cr.                         50,00,000

(Being Amount invested in new business)

Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25​

Answers

from completing the square, x = 5.52 and -4.52

Answer:

[tex]x1 = - 4.525[/tex]

[tex]x2 = 5.525[/tex]

Step-by-step explanation:

[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]

[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]

What is the sum of the interior angles of the polygon shown below?

Answers

Answer:

n = 5

(n-2) X 180

3 x 180

540 degrees

pls mark as brainliest

Help solve 4 and 5 please

Answers

Answer:

Step-by-step explanation:

4). a). If the diagonals of a parallelogram are congruent, then it must be a RECTANGLE.

b). If the diagonals of a parallelogram are perpendicular, then it must be a SQUARE.

c). If the diagonals of a parallelogram bisect the angles of the parallelogram, then it must be a RHOMBUS.

d). If the diagonals of a parallelogram are perpendicular and congruent, then it must be a SQUARE.

e). If a parallelogram has four congruent sides, then it must be a SQUARE.

5). Given quadrilateral SELF is a rhombus.

a). All sides of a rhombus are equal,

   Therefore, ES = EL = 25

b). Diagonals of a rhombus bisects the opposite angles,

   Therefore, m∠ELS = m∠FLS

    3x - 2 = 2x + 7

    3x - 2x = 7 + 2

    x = 9

c). Diagonals of the rhombus bisect the opposite angles, and adjacent angles are supplementary.

m∠ELF = 2(m∠ELS) = 2(2y - 9)

m∠LES = 2(m∠LEF) = 2(3y + 9)

And 2(2y - 9) + 2(3y + 9) = 180

(2y - 9) + (3y + 9) = 90

5y = 90

y = 18  

Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (6,0) 0 (0, -2)
Plz Hurry​

Answers

Answer:

x:-4,-3,-2,-1,0,1

f(x):-10,0,0,-4,-6,0

from the table we can see when x=0, y=-6

Therefore the y-intercept will be (0,-6)

OAmalOHopeO

The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6

What is a function rule?

The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.

A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Given data ,

Let the function be represented as A

Now , the value of A is

Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }

Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }

Now , the y intercept of the function is when the value of x = 0

So , when x = 0 , the value of y = -6

And , f ( 0 ) = -6

Therefore , the y intercept is ( 0 , -6 )

Hence , the y intercept of the function is ( 0 , -6 )

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help is highly appreciated <3

Answers

Answer:

5(5r - 6)

Step-by-step explanation:

25r - 30

we can factor out a 5 since 25 and 30 are both multiples of 5

so we get 5(5r - 6)

hope this helps!

ps i love ur pfp

The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.

Answers

Answer:

Step-by-step explanation:

Hello!

(x +x+7)*2 = 50

(2x+7)*2 = 50

4x+14= 50

4x= 50-14

4x= 36

x= 36/4

x= 9

9 et 16cm

Can someone explain to me by steps on how to do this?

Answers

Answer:

h = 8 sqrt(2)

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hyp

sin 45 = 8 / h

h sin 45 = 8

h = 8 / sin 45

h = 8 / (1 sqrt(2)

h = 8 sqrt(2)

Answer:

right answer is option D

Step-by-step explanation:

tan 45 = BC/8. ; BC - Lower side

BC = 8

h = 8sq. + 8sq = √128 = 8√2

The Y-intercept (b0) represents the a. variation around the sample regression line. b. change in estimated Y per unit change in X. c. predicted value of Y when X = 0. d. predicted value of Y.

Answers

Answer: I don’t honestly know. I just need points

Explanation:

The predicted value of Y when X = 0. Therefore, option D is the correct answer.

What is Regression analysis?

Regression analysis is one of the sophisticated statistical modeling techniques in which we try and establish a relationship between variables, the dependent or response variable, and one or more independent or explanatory variables.

The linear regression equation of a single variable can be written down as: Y=a+bX

According to the definition of the equation of regression analysis, the Y-intercept represents the predicted value of Y when X = 0.

The Y-intercept, as the name suggests, is the point when the regression line crosses the y axis. This happens only when the value of the x variable is zero:

Y-intercept = Y(0)=a+b(0)

Y-intercept=a

Therefore, option D is the correct answer.

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ASAP PLEASE HELP MEEEEEEEEEEEEEEEEEEEEEEEEEE

Answers

Answer:

the answer is -9/16.....

Answer:

2/18

Step-by-step explanation:

anyone help me please​

Answers

assuming you are solving for x...

the shape of a quadratic equation is called a...?

Answers

Answer:

If you mean graphing its called a parabola

Step-by-step explanation:

The shape of a quadratic equation is called a Parabola.

The graph of a quadratic equation is a curve known as a parabola. The shape of a parabola can vary depending on the values of "a," "b," and "c" in the quadratic equation.

If "a" is positive, the parabola opens upwards, forming a U-shape.If "a" is negative, the parabola opens downwards, forming an inverted U-shape.The point where the parabola intersects the x-axis is called the vertex. The axis of symmetry is a vertical line passing through the vertex, dividing the parabola into two symmetrical halves.The x-intercepts are the points where the parabola intersects the x-axis. The y-intercept is the point where the parabola intersects the y-axis. It represents the value of the quadratic equation when "x" is equal to zero.

Therefore, the shape is parabola.

Learn more about Quadratic equation here:

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Which of the following is most likely the next step in the series?
| || H
Oat И
O B. #
och
#
D.

Answers

Answer:

D makes sense. I think the answer is D.

Find the sum. Write your answer in standard form. (2x3+4x2+3)+(3x3−3x−4)

Answers

Answer:

5x³ + 4x² - 3x - 1

General Formulas and Concepts:

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

(2x³ + 4x² + 3) + (3x³ - 3x - 4)

Step 2: Simplify

Combine like terms:                                                                                         5x³ + 4x² - 3x - 1

Answer:

[tex]3.8*10^1[/tex]

Step-by-step explanation:

So we'll be using PEMDAS, which is an acronym used to explain order of operations. It stands for P- Parentheses, E- Exponents, M- Multiplication, D- Division, A- Addition, and S- Subtraction.

P- Parentheses:

(2x3+4x2+3)+(3x3−(3x−4))

M- Multiplication (within Parentheses):

(6+8+3)+(9−(-12))

A- Addition (within Parentheses):

(6+8+3)+(9−(-12))

17 + 21

A- Addition:

38

Now, we'll take that number and put it in standard form, which is the number with only one number outside of the decimal times ten to the however many times it can be divided by ten.

So,

38/10 = 3.8

So,

3.8 * 10^1 is your answer.

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