Find gradient of y=x^2-4x+6 at (3,3)

Answers

Answer 1

[tex]y=x^2-4x+6\\y'=2x-4[/tex]

To find the slope/gradient of the curve at the specific point, we use the derivative.

Then substitute x = 3 in y' = 2x-4

[tex]y'=2(3)-4\\y'=6-4\\y'=2[/tex]

Therefore, the slope/gradient of y = x²-4x+6 at (3,3) is 2.


Related Questions

Ahhff DF nfkemebebwjdbbdnsjwjxjdnddf

Answers

Answer:

0 is the surface of the sea

Step-by-step explanation:

Here, we want to know what zero represents

From the question, we are told that jumping 5 ft below the sea surface represents the depth

-5 ft is same as going 5 units below zero

So therefore, we can have zero representing the sea level

The zero in this case is the surface of the sea

Answer:

B. the surface of the sea

Step-by-step explanation:

have nice day

Ben ,Cam and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben some spendsI chopping, c is the number of hours Cam spends chopping and j is the number of hours Justin spends chopping.

Answers

Answer:

26 trees

Step-by-step explanation:

Ben, Cam, and Justin are lumberjacks. The number of trees they chop down is given by b+2c+3j where b is the number of hours Ben spends chopping, c is the number of hours Cam spends chopping, and j is the number of hours Justin spends chopping. How many trees do they chop down after Ben spends 8 hours chopping, Cam spends 3 hours chopping, and Justin spends 4 hours chopping?

Given:

b + 2c + 3j

Where,

b = number of hours Ben spends chopping

c = number of hours Cam spends chopping

j = number of hours Justin spends chopping

Substitute the below into the given expression

b = 8 hours

c = 3 hours

j = 4 hours

b + 2c + 3j

= 8 + 2(3) + 3(4)

= 8 + 6 + 12

= 26 trees

They chopped down 26 trees altogether

An angle measures 130.4° more than the measure of its supplementary angle. What is the measure of each angle?

Answers

Answer: 24.8 and 155.2

Step-by-step explanation:

x+x+130.4=180

2x=49.6

x=24.8

Answer:

155.2

Step-by-step explanation:

let x be the supplimentary angle

then the angle is

130.4+x

we have

 

130.4+x+x=180

2x=49.6

multiply both sides with 2

x=24.8

then the angle is

130.4+24.8

155.2

Find the x- and y-intercepts of the graph of the linear equation 2x+3y=12.

Answers

Answer:

x-intercept= 6

y-intercept= 4

Step-by-step explanation:

Solve for x first then solve for y.

Answer: y= -2/3x+4

The X-Intercept is -2/3

The Y- Intercept is 4

Hope this helps!! Have a wonder day everyone!! (:

Step-by-step explanation:

Step one write out the equation 2x+3y=12

Then move the variable to the right hand side and change the sign. 3y=12-2x

Then divide both sides of the equation by 3. You get y=4-2/3x

Then: Use the Commentative Property to reorder the terms. y= -2/3x+4

PLEASE HELP!!!!!!!!!!!!!!

Answers

Answer:

882-28282=9191

Step-by-step explanation:

Which expression is equivalent to 15x + 3?
15(1x + 1)
5(3x + 1)
3(5x + 1)
2(15x + 3)

Answers

The answer is 3(5x+1)
It is 3(5x + 1). Multiply 3 with 5 and multiply 3 with 1, then you will get 15x + 3

equations with variables on both sides: decimals & fractions, 6d - 11/2 = 2d - 13/2

Answers

Step-by-step explanation:

i work in paper sheet please see it

Final Answer: [tex]d = -\frac{1}{4}[/tex]

Steps/Reasons/Explanation:

Question: Equations with variables on both sides: decimals & fractions, [tex]6d - \frac{11}{2} = 2d - \frac{13}{2}[/tex].

Step 1: Subtract [tex]2d[/tex] from both sides.

[tex]6d - \frac{11}{2} - 2d = -\frac{13}{2}[/tex]

Step 2: Simplify [tex]6d - \frac{11}{2} - 2d[/tex] to [tex]4d - \frac{11}{2}[/tex].

[tex]4d - \frac{11}{2} = -\frac{13}{2}[/tex]

Step 3: Add [tex]\frac{11}{2}[/tex] to both sides.

[tex]4d = -\frac{13}{2} + \frac{11}{2}[/tex]

Step 4: Simplify [tex]-\frac{13}{2} + \frac{11}{2}[/tex] to [tex]-1[/tex].

[tex]4d = -1[/tex]

Step 5: Divide both sides by [tex]4[/tex].

[tex]d = -\frac{1}{4}[/tex]

~I hope I helped you :)~

A new pair of boots is priced at $123.75, plus 6% sales tax. What is the total cost of the boots?

Answers

Answer:

131.18

Step-by-step explanation:

If you spend 3$ on 6 apples,what is the unit rate (in dollars) per apple?

Answers

Answer

2 apples per $1

Step-by-step explanation:

because 6 apples cost $3, so take 6 divided by 3 so you get 2 apples per dollar

$Ok so there is $6 per apple

Geometry Question:

Find the value of x that makes N the incenter of the triangle (See attached)

Answers

Answer:

.5 or 1/2

Step-by-step explanation:

Y^2x 24^2=25^2

Y=7

7=14x

x=.5

The value of x is 0.5.

The calculation is as follows:

Here we use Pythagoras Theorem

[tex]Y^2 - 24^2=25^2[/tex]

Y=7

Now  

7 = 14x

So, x=.5

Therefore we can conclude that The value of x is 0.5.

Learn more: brainly.com/question/17429689

What is 23/24 as a decimal rounded to the nearest hundredth?

Answers

Answer:

95.80

Step-by-step explanation:

The number 23/24 rounded to the nearest hundredth is 0.96

What is rounding up numbers?

There are basically two rules while rounding up numbers

If the number you are rounding is followed by 0, 1, 2, 3, or 4, round the number down and if the number you are rounding is followed by 5, 6, 7, 8, or 9, round the number up.

Given data ,

Let the number be A = 23/24

So , in order to round the number

First we need to find the decimal for of the number A

And ,

A = 23/24

A = 0.9583

And , rounding the number to its nearest hundredth is rounding the number to two decimal places

So ,

A = 0.9583

A = 0.96

Hence , The number 23/24 rounded to the nearest hundredth is 0.96

To learn more about rounding of numbers click :

https://brainly.com/question/4896544

#SPJ5

A person standing 130 feet away from the foot of a tall building must look up at an angle of 30° to see the top of the building. There is a radio antenna on the top of the building. The angle of elevation of the top of the radio antenna is 45°.

Answers

Answer:

30 angels

Step-by-step explanation:

Which of the tables represents a function?


Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4








Table A
Table B
Table C
Table D

Answers

Answer:

table b i think

Step-by-step explanation:

8 more than a third of a number

Answers

Answer:

8 + 1/3n

Step-by-step explanation:

6th grade math i mark as brainliest​

Answers

Answer:

There are 5 terms

Step-by-step explanation:

each number is its own term

Convert the Following: 5.4 oz=__________ mg

Answers

Answer:

153087 mg

Step-by-step explanation:

The numbers 22 and 35 are relatively prime. TrueFalse

Answers

Answer: True

Step-by-step explanation:

Answer:

False They are coprime numbers

Step-by-step explanation:

I hope it helps ❤❤

There are 4,389 dogwood trees in the state park. The park workers are going to plant 342 more trees. How many trees will there be when they are done?

Answers

Answer:

4731

Step-by-step explanation:

4,389+342=4,731

The vertices of the triangle in the diagram below are A(7,9), B(3,3), and C(11,3).


What are the coordinates of the centroid of triangle ABC?

Please Answer with work shown! I know that the answer is (7,5) But can some one show the work for it?
If you answer it and show the work for me then I will give you the brainiest question reward!
Please Help!

Answers

Answer:

(7 , 5)

Step-by-step explanation:

Add all the x-axis then divide by 3

7 + 3 + 11 = 21

21/3 = 7

Add all the y-axis then divide by 3

9 + 3 + 3 = 15

15/3 = 5

So answer will be (7,5)

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum o

The coordinates of the centroid is (7, 5).

What is a triangle?

It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.

We have,

The vertices of the triangle in the diagram below are:

A(7,9), B(3,3), and C(11,3).

Now,

The coordinates of the centroid of triangle ABC.

(x, y)

Where,

x = Sum all the x-coordinates of the vertices ÷ 3

y = Sum of the y-coordinates of the vertices ÷ 3

Now,

x = 7 + 3 + 11 / 3 = 21/3 = 7

y = 9 + 3 + 3 / 3 = 15/3 = 5

Now,

The coordinates of the centroid is (7, 5).

Learn more about triangles here:

https://brainly.com/question/25950519

#SPJ2

7 chocolate bars cost 19 dollars determine the cost per chocolate bar.

Answers

Answer: .368

Step-by-step explanation:

Answer:

$2.71

Step-by-step explanation:

to find the cost of each chocolate bar you must divide the total cost by the number of chocolate bars

19/7

= 2.714

≈ $2.71

using the elimination method to solve the system of equations.

3x+6y =36
3x-6y=0


a. 3,6
b. 6,-3
c. 6,3
d. 3,-6

Answers

Answer:

c. (6, 3)

Step-by-step explanation:

subtract

3x + 6y = 36

3x - 6y =  0

12y = 36, y = 3

3x + 6(3) = 36

3x + 18 = 36

3x = 18, x = 6

x = 6, y = 3

Answer:

the answer is b good luck

A recipe requires 4 cups of
flour to make 3 dozen
cookies. How many cups of
flour are needed for 10
dozen cookies?

Answers

Answer:

13 1/3 cups

Step-by-step explanation:

The ratio of flour to dozens of cookies is 4:3 or 1 1/3:1

1 1/3 x 10 = 13 1/3

Answer:

13 1/3

Step-by-step explanation:

12 cups cover the first 9 cookies and than just divide 4 by 3 and you will get 1.3 which is 1 1/3 of a cup

I don’t understand so please HELPPPPPPPPPPPPPP

Answers

Answer:

C

Step-by-step explanation:

Okay so im going to gudie you thru So what it is asking you is to Count all the cubic squares looking things so what i can see is that You circled 169 aka C that would be correct because it cant be 11 cause it dosent look like 11 square units  lol you get what im saying so the answer is C hope this HELPSS!!

By the way follow my insta. exotic. jaliyah if you need anymore help

C i believe the answer is C

In a basketball game, the home team was down by 9 points at the end of the game. They only scored 6 points for every 7 points the visiting team scored. What was the final score of the game? Type both answers with a comma inbetween. Show your work below.

Answers

The final score of the basketball game is  (54, 63).

What is a numerical expression?

A numerical expression is a mathematical statement written in the form of numbers and unknown variables. We can form numerical expressions from statements.

Given, They only scored 6 points for every 7 points the visiting team scored

and they differ by a total of 9 points.

Therefore, The final score would be 6×9, 7×9.

= (54, 63).

If we take the difference between 63 and 54 it would be 9.

learn more about numerical expressions here :

https://brainly.com/question/29199574

#SPJ1

SOLVING SYSTEMS:
I just need the work for each equation.

Answers

S. 2x - 6 = x + 8
+ 6 + 6
2x = x + 14
-x -x
x = 14

y = (14) + 8
y = 22

(14 , 22)

I. 2x - 5y = 16
-2x + 20y = -16
15y = 0
/15 /15
y = 0

x - 10(0) = 8
x = 8

(8 , 0)

F. 10x + 6y = -4
2x - 6y = -8
12x = -12
/12 /12
x = -1

2(-1) - 6y = -8
-2 - 6y = -8
+2 +2
-6y = -6
/-6 /-6
y = 1

(-1 , 1)

N. 24x - 3y = 15
2x + 3y = 11
26x = 26
/26 /26
x = 1

2(1) + 3y = 11
2 + 3y = 11
-2 -2
3y = 9
/3 /3
y = 3

(1 , 3)

T. 3x - 2y = -2
6x + 2y = 2
9x = 0
/9 /9
x = 0

-3(0) + 2y = 2
2y = 2
/2 /2
y = 1

(0 , 1)

O. -8x - 4y = 6
5x + 4y = -3
3x = -3
/3 /3
x = -1

-4(-1) - 2y = 3
4 - 2y = 3
-4 -4
-2y = -1
/-2 /-2
y = 1/2

(-1 , 1/2)

I. 8x - 9 = -2x - 4
+2x +2x
10x - 9 = -4
+9 +9
10x = 5
/10 /10
x = 1/2

y = -2(1/2) - 4
y = -1 - 4
y = -5

(1/2 , -5)

D. -6x - 4 = -3x + 5
+3x +3x
-3x - 4 = 5
+4 +4
-3x = 9
/-3 /-3
x = -3

y= -3(-3) + 5
y = 9 + 5
y = 14

(-3 , 14)

S. -9 = -3x - 3y
8 = 4x + 3y
-1 = x

3 = -1 + y
+1 +1
4 = y

(-1 , 4)

R. -5x - 5y = 25
5x - 4y = 2
-9y = 27
/-9 /-9
y = 3

-x - (-3) = 5
-x + 3 = 5
-3 -3
-x = 2
/-1 /-1
x = -2

(-2 , -3)

A. 8y + 3 = 3x
- 3 - 3
8y = 3x - 3
-3x -3x
-3x + 8y = -3
-3x + 8y = -3

Same equation = infinite solutions

K. 8x - 6y = -4
3x + 6y = 4
11x = 0
/11 /11
x = 0

4(0) - 3y = -2
-3y = -2
/-3 /-3
y = 2/3

(0 , 2/3)

T. -5x - 8y = 0
12x + 8y = 56
7x = 56
/7 /7
x = 8

3(8) + 2y = 14
24 + 2y = 14
-24 -24
2y = -10
/2 /2
y = -5

(8 , -5)

The table below represents a linear function f(x) and the equation represents a function g(x):



Part A: Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x). (6 points)

Part B: Which function has a greater y-intercept? Justify your answer. (4 points)

(10 points)

Answers

Answer:

Step-by-step explanation:

Part A

for f(x) slope between points (-1,-6) and (1,0)

m= y2-y1/x2-x1 = -6-0/-1-1 = -6/-2= 3

for g(x) slope m=4 because we compare to equation y=mx+b the given equation g(x)=4x-5

The slope of f(x) is 3 and the slope g(x) is 4 so the line of g(x) is steeper

part B

The y intercept for g(x) is  (0, -5)

The equation of f(x) can be found

y-y1 =m(x-x1) take any point for example point (1,0)

y-1 =3(x-0)

y=3x+1 so the y-intercept is at (0,1)

The y-intercept for f(x) is greater at y=1 then the one of g(x) at y=-5

Sara bought 12 apples, 24 oranges, and 18 bananas for fruit baskets. If Sara wants to create the greatest number of fruit baskets that all have the same amount of fruit without any left over, how many baskets can she create?

Answers

Answer:

Step-by-step explanation:

Apples- 2

Oranges-4

Bananas- 3

In each basket

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• -3 1/2

[Image: Vertical number line ranging from negative 5 to 5.]

On this number line, zero represents sea level. Plot the following points based on the description provided.

• opposite of –5

Answers

Answer:

Positive 5.

Step-by-step explanation:

Opposite of negative 5 is positive 5.

The point will be on the positive side, which is above sea level. So it will be on 5 above the zero.

Answer:positive 5

Step-by-step explanation:

A.) what is the domain?
B.) what is the range?
C.) is this relation a function?

Answers

Answer:

The Domain is the set of all points over which a function is defined.

The range is the set of values the function takes on as output.

A Sweater That normally costs $25.00 is on sale for 10 percent Off.
What will the Discount be?
what will the cost of the Sweater be?
Can Someone Please PLEASE help me??

Answers

Answer:

15.00

Step-by-step explanati

the discount is 15% because you need to subtract it

Other Questions
Whats the area? Please help :) Which statement best completes the diagram? Cause= The Monroe Doctrine; Effect=? A. Europe loses power in the Americas. B. Russia gains territory in North America. C. The United States gains new colonies. D. Spain declares war in the United States. The following information was available from the inventory records of Sheffield Corp. for January: Units Unit Cost Total Cost Balance at January 1 9200 $9.73 $89516 Purchases: January 6 6400 10.31 65984 January 26 7900 10.71 84609 Sales January 7 (7700 ) January 31 (11300 ) Balance at January 31 4500 Assuming that Sheffield does not maintain perpetual inventory records, what should be the inventory at January 31, using the weighted-average inventory method, rounded to the nearest dollar There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up Question 6: please help me out here :((( A spinner can land on either red, blue, green, or yellow. You spin once. Find the number of possible outcomes in the sample space. Please show me how to solve this. Write an essay about the adventuruos activity Think about a time when you were a member of a team. It could be a sports team, a school project team, a volunteer committee, or some other time you worked with a group to achieve a goal.what would you do differently if you could go back in time? How would you be a better team member? What contributions would you make now that you were unwilling or unable to make then? What team role(s) would you fill?(Be sure to provide reasons and examples to support your answer.) Brad has walked 4/9 of his goal distance this month. If his goal is 27 miles, how many miles has Brad walked After a careful analysis of the map above which title would best represent the map ? what is the cost of 1 pound of pears? If you would like to compare information on two different Web pages, you should _____.scroll through the pagesthe home pageuse tabsorganize bookmarks Calculate the change in entropy of 0.020 kg of ice when it melts at 0.0C. The heat of fusion of ice is 3.36 x 10'J/kg. How many grams are in 2.3 x 1024 formula units of KNO3? What is the constant of proportionality in the equation y=0.72x What is the phenomenon that takes place at the level of the green leaves of the carrot Ryan is a manager who maintains an official record of the events that happen in his company. At the end of the day, he writes about the events that took place. The words that he frequently mentions in his record are today, client, and meeting. The moment he types the first two letter of these words, they appear as a suggestion. Which feature of the word processing program makes these suggestions a squirrel runs at a speed of 9.9 m/s with 25 J of kinetic energyWhat is the squirrels mass Why do some people struggle with water scarcity?A.Freshwater resources are not evenly distributed across the Earths surface.B.The polar ice caps are melting.C.There is no freshwater available in desert areas.D.People who live near the coast have more access to freshwater than people who live inland.Please select the best answer from the choices providedABCD Help me on this please