100pts: What is the slope of the following curve at x = n, for an arbitrarily chosen integer n?:
y = 3x^2 - 37x + 6

Answers

Answer 1

Answer:

6n -37

Step-by-step explanation:

The slope would be the derivative of the function

dy/dx = 6x - 37  evaluated at the point n

dy/dx = 6n -37

Answer 2

Answer:

6n - 37

Step-by-step explanation:

The derivative of the function f(x) gives the gradient (slope) of the tangent to the graph of y = f(x) at the point (x, y).

Given:

[tex]y=3x^2-37x+6[/tex]

Therefore, the gradient (slope) of the given curve at x is:

[tex]\implies \dfrac{dy}{dx}=2 \cdot 3x^{2-1}-37x^{1-1}+0[/tex]

[tex]\implies \dfrac{dy}{dx}=6x-37[/tex]

To find the slope, simply substitute x for n:

[tex]\implies 6n-37[/tex]


Related Questions

h = -162 +64t +960.
What is the maximum height?

Answers

Answer:

2 seconds to reach maximum height

Step-by-step explanation:

Marie dreamed of chocolate, but it lacked $10. Vaso also dreamed of a chocolate, but he lacked $1. Children decided to buy at least one chocolate for two, but they still need $1. What is the cost of the chocolate?

Answers

Answer:

10$

Step-by-step explanation:

math

Answer:

10

Step-by-step explanation:

because i know

Let a and b be real numbers where a b 0. Which of the following functions could represent the graph below?

Answers

Answer:

C. f(x) = x4(x – a)(x – b)2

Step-by-step explanation:

just took the test on edge

A function which could represent the above graph is: C. f(x) = x⁴(x - a)(x - b)².

How to interpret the graph?

In Mathematics, the nature of the intercept on a polynomial graph highlights the nature of its multiplicity. Also, the polynomial graph has no single zero (factor) but bounced off the x-axis at three (3) different locations.

This ultimately implies that, the polynomial graph has an even multiplicity at these three (3) points:

x⁴x - a(x - b)²

In conclusion, a function which could represent the above graph is f(x) = x⁴(x - a)(x - b)².

Read more on multiplicity here: https://brainly.com/question/3791218

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Solve the inequality for x. –8x + 16 > –72 A) x 7 D) x > 11

Answers

Answer:

x < 11

Step-by-step explanation:

–8x + 16 > –72

Let's transfer the components which do not contain x to the right side and change sign of these components

-8x > -72 - 16

Now, we simplify the right side

-8x > -88

We then multiply both sides by (-1/8) and change the greater symbol to smaller symbol

(-1/8)*(-8)x < (-1/8)*(-88)

Finally, we simplify both sides to solve this inequality

x < 11

Hope this helps!

A function has a discriminant of 25.
How many x-intercepts does it have?

Answers

Answer:

2

Step-by-step explanation:

If the value of the discriminant is positive, there are two real solutions for x, meaning the graph of the solution has two distinct x-intercepts

Here 25 is positive discriminant, hence the function will have 2 x - intercepts

The equations of three lines are given below.
Line 1: 10x - 4y= -4
Line 2: 5y = –2x+3
2
Line 3: y = -7X-4
5
fx-4
For each pair of lines, determine whether they are parallel, perpendicular, or neither.

Answers

Answer:

3

Step-by-step explanation:

Help please with questions 1-2
15 points

Answers

Answer:

1)  C)[tex]\sqrt{149}[/tex]

2) A) Yes

Step-by-step explanation:

Which formula could be used to find the volume of a cube with side length equal to s?

s cubed
(6) (s squared)
s squared
(6) (s cubed)

Answers

Answer:

s cubed

Step-by-step explanation:

Formula for volume of a cube is side ^3

The volume of cube with side length s is s cubed.

What is cube?

A cube is a region of space formed by six identical square faces joined along their edges.

What is the formula for the volume of cube?

The volume of cube is defined as the total number of cubic units occupied by a cube.

The Formula for the volume of cube is given by

[tex]v = a^{3}[/tex]

Where, v is the volume of cube

and, a is the side of cube.

According to the given question we have

The side length of cube is s.

Therefore, the formula for finding the volume of cube is given by

volume of cube = [tex]s^{3}[/tex]

Hence, the volume of cube with side length s is s cubed.

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Solve for X (BRAINLIEST)

Answers

Answer:

x = 24

Step-by-step explanation:

The triangles are similar so we can use ratios to solve

x             6

------ = -----------

x+8         8

Using cross products

8x = 6*(x+8)

8x = 6x+48

Subtract 6x from each side

8x-6x = 48

2x = 48

Divide by 2

2x/2 = 48/2

x = 24

Answer:

x = 24

Step-by-step explanation:

Very similar to the previous problems of this type, these two triangles have a shared angle A and both have a right angle, prove AA similarity.

From there, we can set up a ratio:

(x+8)/x = 8/6

Multiply both sides by x:

x+8 = 8x/6

Multiply both sides by 6:

6x+48 = 8x

Move the 6x to the right:

48 = 2x

Divide both sides by 2:

x = 24

B-CR-SLHv2
How many ideas should be on each note card in the index-card method of note-taking?
zero
one
two
as many as you can fit

Answers

Answer:

1 or 2

Step-by-step explanation:

2 if you write really small but otherwise 1 idea on 1 side of a notecard.

A Student takes exam containing 18 true or false questions What is the probability that he will get exactly 14 questions right?

Answers

Answer:

1.5442%

Step-by-step explanation:

90°
30
==
Help me please

Answers

Answer:

90

Step-by-step explanation:

If there is a straight line and 1 angle is 90 degrees, the angle next to it is also 90 degrees.

Answer:

x = 90°

Step-by-step explanation:

Since x and 90° share the same straight line, they are supplementary, meaning they must add up to 180°. Hence x must be 180-90 = 90.

Which equation matches the following graph?


Options:

y = x^2

y = -x^2

x = y^2

x = -y^2

Answers

The answer is: [tex]y=-x^2[/tex].

Hope this helps.

Tia measured the daily high temperature in Kats, Colorado for each of the 30 days in April. She then created both a dot plot and a box plot to display the same data (both diagrams are shown below). Which display makes it easier to see that the third quartile is 14 degrees C

Answers

Answer:

A box plot would make it easier to see that the third quartile is 14 degrees C.

Step-by-step explanation:

On a box plot, the right end of the box gives the exact value of the third quartile. On a dot plot, you would have to identify the value based on the number of dots shown.

Answer:

Box plot and dot plot

Step-by-step explanation:

Because I checked.

Follow me

get me to brainliest

Peace out

Please help with this

Answers

Answer:

The answer would be D

Step-by-step explanation:

Answer:

D

The triangle moved 6 units right and one unit up.

The pieces on a chessboard are either white or black. Of the pieces remaining on a chessboard, the probability of randomly picking a white piece is 5/12 What is the probability of randomly picking a black piece?

A. 5/12
B. 1/2
C. 7/12
D. 2/3

Answers

7/12

12/12 is the total

So 12/12 minus 5/12 is 7/12

Correct me if I am wrong

If 40 people buy lemonade while at the
food stand, what percent of the people
bought lemonade? Illustrate on the
number line.

Answers

Answer: transforms

Step-by-step explanation:

Given: 22 and 24 are vertical angles
Prove: Z2 Z4

Answers

Answer:

Where is the picture?  Also, Im kinda confused

Step-by-step explanation:

(1.3 x 10-2) (0.05) = ?

Answers

Answer:

=0.065x10−0.1

Step-by-step explanation:

(1.3x10−2)(0.05)

=(1.3x10+−2)(0.05)

=(1.3x10)(0.05)+(−2)(0.05)

=0.065x10−0.1

Answer: 0.55

Step-by-step explanation:

1.3 x 10= 13

13-2= 11

11  x 0.05= 0.55

BOOM! math.


Al uses a box in the shape of a rectangular prism as shown in the diagram to for his coin collection.

What is the volume of the box?

192in³
275in³
37512 in³
425in³

Answers

425 cubic inches

Multiple the base (12.5) by the width (8.5) by the height (4)

Answer:

425 in.^3

Step-by-step explanation:

volume = length * width * height

Change all mixed numerals into decimals.

volume = 12.5 in. * 8.5 in. * 4 in.

Now use a calculator to multiply the three numbers together.

volume = 425 in.^3

HI CAN I PLEASE GET SOME HELP PLEASE THANK YOU I WOULD APPRECIATE IT HOW MANY SOLUTIONS ARE THERE TO THIS NONLINEAR SYSTEM!!!! A)no solutions B)one solution C)two solutions

Answers

Answer:

B) one solution

Step-by-step explanation:

The blue line and the red line cross at only one point so there is one solution. It would be no solution if the blue line never crossed the red line and it would be two or possibly more solutions if the lines crossed more than once.

What is being constructed based on the markings in the following diagram?

Line AB with two points C and D on each side of the line; a circle is created with center C passing through point D, and the intersection of circle C with line AB creates points E and F such that point A is between points E and F and point F is between points A and B. Point G is not located on line AB and is on the same side as point D. A circle is created with center F and a radius of FG, and another circle is created with the same radius from point E. Points H and I are intersecting points of circles E and F, and a line is drawn through points H and I.

Inscribed regular hexagon
Inscribed equilateral triangle
Perpendicular line through a point off a line
Perpendicular line through a point on a line

Answers

Answer:

The correct option is;

Perpendicular line through a point off a line

Step-by-step explanation:

Based on the markings in the diagram, we have;

Marking points E and F along AB extended forms two points equidistant from the point C on the line AB

Construction of the line HI by using equal arc lengths from E and F creates two points equidistant from E and F on either side of the line AB such that HI passes through C forming a perpendicular bisector from C to AB.

Therefore, a perpendicular line has been constructed from the point C off the line AB to the line AB

Hence the correct option is the construction of a perpendicular line through a point off a line.

Which of the following are solutions to the equation below?
Check all that apply.
6x2 - 2x + 36 = 5x2 + 10x
O A. 18
B. 4
C. 6
D. -6
O E. -3
F. -4

Answers

Answer:

B. 4

Step-by-step explanation:

Rearrange the equation so that is in the form (ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

Now, factor the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

The solutions to the equation are 4 and 9.  The correct answer choice is B.

Answer:

The answer B.4

Step-by-step explanation:

Arrange the equation so that is in the form

(ax² + bx + c = 0).

6x² - 3x + 36 = 5x² + 10x

x² - 3x + 36 = 10x

x² - 13x + 36 = 0

the equation and solve for x.

x² - 13x + 36 = 0

(x - 4)(x - 9) = 0

x - 4 = 0

x = 4

x - 9 = 0

x = 9

Zoe and Hannah share tips in the ratio 3:7 . Last week Zoe received £24 . How much did Hannah receive last week?

Answers

Answer:

56 euros

Step-by-step explanation:

3=24

7=x

7 x 24=56

NEED ASAP !!! helppppp

Answers

Answer: 960

Step-by-step explanation: all you have to do to find the volume is 10*8*12, which would be 960, so the cubic volume is 960.

Which expression can be used to convert 100 USD to Japanese yen?

100usd[99.30487yen/1usd]


100usd[1usd/99.30487yen]


100usd[0.01007yen/1usd


100usd[99.30487usd/1yen]


Answers

Answer:

a. 100usd{99.30487yen/1usd}

Is (0,0) a solution to this system?

Answers

0,0 is not a solution to the system

Answer:

D.

Step-by-step explanation:

If you substitute (0,0) then the inequality is not true in both cases. This accounts for answer D.

Please use a system of equations to solve this problem. I already know how to solve this, but I want to know how to solve it using a system of equations!!! A writing workshop enrolls novelists and poets in a ratio of 5:3. There are 24 people at the workshop. How many novelists are there and how many poets are there?

Answers

Answer:

[tex]\boxed{\sf \ \ \ 15 \ \ novelists \ \ and \ \ 9 \ \ poets \ \ \ }[/tex]

Step-by-step explanation:

hello,

let's note a the number of novelists and

b the number of poets.

we know that a = 5/3 b as "enrolls novelits and poets in a ratio of 5:3"

it comes 3a=5b which is the first equation

and we know that a + b = 24 "there are 24 people"

we we have two equations

(1) 3a - 5b = 0

(2) a + b = 24

let's multiply (2) by 3 it comes 3a + 3b = 24*3 = 72

let's do 3*(2) - (1) it comes

3a + 3b -3a + 5b = 72 - 0 = 72

so 8b = 72

so b = 9

and then we replace b in (2) it comes

a = 24-9 = 15

hope this helps

At a cafe

2 teas + 1 coffee​ cost= £3.40

1 tea and 4 coffees cost=£7.30

Work out the cost of 1 tea and the cost of 1 coffee?


Step by step explanation​, pleaseeeee

Answers

Answer:

cost of 1 tea= £1.08

cost of 1 coffee= £1.24

Step-by-step explanation:

Please see the attached picture for full solution

Complete each step in the following solution.
10x + 8 = 3(x – 2)

10x + 8 = 3x ___
7x = ___
x = -2

Answers

A:  10x + 8 = 3(x – 2)

     10x + 8 = 3x – 6

     7x =  – 14

     x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

What is an equation?

"An equation is a formula that expresses the equality of two expressions, by connecting them with the equal sign. Solving an equation containing variable consists of determining which values of the variables make the equality true."

Given equation

10x + 8 = 3(x – 2)

In this step by multiplying 3 with -2, we get -6

10x + 8 = 3x - 6

Subtract the variables

Subtract -6 and 8 , we get -14

7x = -6 - 8

7x = -14

Divide with 7 on both sides, we get

x = -2

Hence these are the following steps to get x = -2

Step 1 : Multiplying 3 with -2, we get -6

Step 2 : Subtract -6 and 8 , we get -14

Step 3 : We get x = -2

Learn more about equation here

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