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

Lines MN and PQ are parallel. Lines RS and TV intersect them. Which statements are true about these lines? Select three options. The slope of line MN is Two-thirds. The slope of line PQ is undefined. The slope of line RS is Negative three-halves. Lines RS and TV are parallel. Line RS is perpendicular to both line MN and line PQ.

Answers

Answer:

hello your question is incomplete attached below is the missing diagram

answer :

RS is perpendicular to line  MN and line PQ  

The slope of line MN is 2/3

The slope of line RS is  -3/2

Step-by-step explanation:

The slope of line MN is 2/3

slope of MN = [tex]\frac{3-(-1)}{3-(-3)}[/tex]  =  4/6 =  2/3

The slope of line RS is  -3/2

slope of RS = [tex]\frac{-2-1}{2-0}[/tex] = -3/2  this shows that Line RS are perpendicular

Lines RS is perpendicular  to MN and PQ

 lines RS is perpendicular to MN and PQ because it's sign is opposite hence it is perpendicular to MN and PQ

Answer:

The slope of line MN is Two-thirds.

The slope of line RS is Negative three-halves.

Line RS is perpendicular to both line MN and line PQ.

Step-by-step explanation:

hope it helps

The value of the digit in the hundreds place in the number 587,349 is 1/10 the value of the digit in the thousands place in which number? *

Answers

Answer:

3000 is your answer

Step-by-step explanation:

The 3 in the hundreds place if the number 587,349 has a value of 300. This 300 is 1/10 the value of the number you're looking for, so if x is the number you're looking for, then

[tex]300 = \frac{1}{10} x[/tex]

[tex]300 \times 10 = \frac{1}{10} x \times 10[/tex]

[tex]3000 = x[/tex]

x is your answer.

How do I solve this equation by completing the square. 4X^2 + 12x +5 = 21

Answers

The Answer is: x1=-4 x2=1.

Which value of x makes the equation x + 7 = 21 true?
O A. 7
O B. 14
O c. 21
OD. 28

Answers

Answer:

b. 14

Step-by-step explanation:

I need help with the question in the attached image.

Answers

Answer:

Third choice

Step-by-step explanation:

We can subtract 4r by r, and that gives 3r. 3 subtracted by negative 3 gives 6 (Remember, 2 negatives is a positive!). This gives 3r+6

Brainlyp pls!

Each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties except the ______.

A. Square
B. Rectangle
C. Trapezoid
D. Parallelogram

Answers

Trapezoid is the correct answer :) good luck

Trapezoid is the quadrilateral with only one pair of opposite parallel sides.

What is Quadrilateral?

A quadrilateral is a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given that, each of the quadrilaterals noted below has two pairs of parallel sides as one of its properties.

Trapezoid is a quadrilateral having base angles equal and one pair of opposite sides are parallel.

Hence, the correct option is Trapezoid.

For more references on Quadrilateral, click;

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PLEASE ANSWER! 15 POINTS

Answers

Answer: 13/15

Step-by-step explanation:

1/5 + 2/3 = 13/15. Since 13/15 can’t be simplified, that’s your answer.

PLEASE I NEED AN ANSWER NOW WILL MARK U BRAINLIEST!!!1!
how do u find y intercept without a graph for systems of equations? (y = x - 6)

Answers

Answer:

-6 is the y intercept.

the number added or subtracted from the x in the slope intercept form is always the y intercept

Step-by-step explanation:

plz mark me brainliest

v=u + at
u= 2
a= -5
t = 1/2
Work out the value of v.

Answers

Answer:

V= -1/2

Step-by-step explanation:

You would have to add U+AT to get V

If A=-5 and T=1/2, then -5*1/2= -2.5 (A*T)

Then, adding U (which is 2), gives -.5, or -1/2

What is this??????????

Answers

Answer:

A drawing. I guess the sky

Step-by-step explanation:

this is a very hard question

What is the value of 2(5b - 7) in terms of y if b = 3y ?

Answers

2(5b-7), you can input b as 3y
2(5(3y)-7) —> 2(15y-7) —> 30y -14
—> 30y = 14 —> y = 14/30 —> y = 4.6667
It’s just 2(5(3y)-7) or 2(15y-7), which is 30y-14.

can someone answer the questions on my page if so ill give all the correct answers brainlist.

Answers

Oh okay that’s a bet

The total cost of renting a banquet hall is a function of the number of hours the
hall is rented. The owner of the banquet hall charges $45 per half hour up to a
maximum of 5 hours and a $50 cleaning fee. The equation used to express the
situation is C = 45h + 50, where h is the number of half hours. What is the
greatest value in the range for this situation?

Answers

9514 1404 393

Answer:

  $500

Step-by-step explanation:

The greatest rental time is 5 hours, which is 10 half-hours. The value of C for h=10 is ...

  C = 45·10 +50 = 450 +50 = 500

The greatest value in the range for this situation is $500.

In the diagram, mAngleFLI is 106°, mAngleFLG = (2x – 1)°,
mAngleGLH = (x + 17)°, and mAngleHLI = (4x – 15)°.

Four lines extend from point L. They are lines L F, L G, L H, and L I.
What is the measure of the smallest angle in the diagram?

15°
29°
32°
45°

Answers

Answer:

b. 29°

Step-by-step explanation:

In the given diagram, the smallest angle in the diagram is ∠FLG = 29°.

What is an angle?

When to lines are meeting at a point, then the geometrical figure is formed called an angle.

Given, four lines extend from point L.

They are lines LF, LG, LH, and LI.

∠FLI = 106°, ∠FLG = (2x - 1)°, ∠GLH = (x + 17)°, ∠HLI = (4x - 15)°

Here, ∠FLI = ∠FLG + ∠GLH + ∠HLI

106°  = (2x - 1)° + (x + 17)° + (4x - 15)°

⇒ (2x - 1)° + (x + 17)° + (4x - 15)° = 106°

⇒ (7x + 1)° = 106°

⇒ 7x = 105

⇒ x = 15

Now, ∠FLG = (2x - 1)° = (2 × 15 - 1)° = 29°

GLH = (x + 17)° = (15 + 17)° = 32°

∠HLI = (4x - 15)° = (4 × 15 - 15)° = 45°

Therefore, the smallest angle in the diagram is ∠FLG = 29°.

Learn more about an angle here:

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quick!! write an equation in slope intercept form using points (-3,0) (3,-4) !

Answers

Answer:

i dunno but the slope is -4/6

Step-by-step explanation:

y=-2/3x -2 this is the slips intercept form
You do y1-y2/x2-x1 and then find the rest using y=mx+b

What is the solution of 52(4m+3)−(1−2m)=72[3(3+2m)−(3−m)] ?

Answers

Answer:

56cm -x=43

Step-by-step explanation:


write each percent as a fraction in simplest form
60%​

Answers

Answer: 3/5 i hope this helps god bless

Step-by-step explanation:

please help me i don’t understand how to do this

Answers

what do u need help with?

transversals angles​

Answers

B. 2 because it is inside and on the same side as 1

Pls help fast will give brainliest

Answers

Answer:

23

Step-by-step explanation:

6×3+5(3-2)

6×3+5×1

18+5

23

Which table does NOT show y as a function of x?

Answers

Answer:

C

Step-by-step explanation:

I don’t really know what to say haha, it’s easy

can you please help me with this​

Answers

Answer:

Dot plot

Step-by-step explanation:

Each dot on on 0.84 represents each plane. 5 planes had a average cruising speed of 0.84.

Even if you don’t think it is an independent variable, _____ is usually always plotted on the “x” axis.


Help?

Answers

Answer:

Y axis is dependent

Step-by-step explanation:

and x axis is independent, so if its on the x axis, its alwasy a independent variable, hope it helped Lol

Find two numbers with sum 82 and difference 30.

Answers

Answer: I think it would be 112.

Step-by-step explanation:

Use the sine rule to calculate BC :)

Answers

Answer:

BC≈12.2

Step-by-step explanation:

As we know

24/sin(100°)=BC/sin(30°)

BC=sin(30°)×24/sin(100°)

BC=1/2×24/sin(100°)

BC=12/sin(100°)

BC=12.2 (approximately)

Answer:

BC≈12.2

Step-by-step explanation:

Hope this helped have an amazing day!

I need help with this​

Answers

Answer:

24.3470022334

Step-by-step explanation:

I hope this helps. It really isn’t too hard. All you need to do is find the multiples of 24

someone please solve and find the corresponding angles thanks

Answers

the correct option is b

What is 149/15 as a mixed number?

Answers

Answer:

its an improper

mixed : 9 14/15

Step-by-step explanation:

its a mixed number if the number at the tops in the limit and there is a number at the side that represents whole number(s)

Answer:

the answer is 9 14/15

Step-by-step explanation:

Step 1 - Find Whole Number

Calculate out how many times the denominator goes into the numerator. To do that, divide 149 by 15 and keep only what is to the left of the decimal point:

149 / 15 = 9.9333 = 9

Step 2 - Find New Numerator

Multiply the answer from Step 1 by the denominator and deduct that from the original numerator.

149 - (15 x 9) = 14

Step 3 - Get Solution

Keep the original denominator and use the answers from Step 1 and Step 2 to get the answer. 149/15 as a mixed number is:

I need help one this question.

Answers

Answer:

-2

Step-by-step explanation:

the y-intercept is -2

Answer:

y=2x-2

Step-by-step explanation:

Find the slope.

y1-y2/x1-x2

2-(-2)/2-0

That gives you 4/2 or a slope of 2.

The y intercept is at -2.

Y=2x-2

y = m + mnp
Solve for n.
pls help me

Answers

Answer:

n = y - m/mp

Step-by-step explanation:

y = m + mnp

y - m = mnp

y - m/mp = mnp/mp

y - m/mp = n

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