Find the equation of the normal to the curve in y=mx+b format : p(t) = 3t^2 - 8t + 3 at t = 3

Answers

Answer 1

Answer:

[tex]y=10x+24[/tex]

Step-by-step explanation:

Find the derivative of the function

[tex]p'(t)=\frac{d[p(t)]}{dt}=\frac{d}{dt}(3t^2-8t+3)=6t-8[/tex]

Determine the slope of p(t) at t=3:

[tex]p'(3)=6(3)-8=18-8=10[/tex]

Find p(3):

[tex]p(3)=3(3)^2-8(3)+3=3(9)-24+3=27-21=6[/tex]

Determine y-intercept:

[tex]y=mx+b[/tex]

[tex]6=10(3)+b[/tex]

[tex]6=30+b[/tex]

[tex]-24=b[/tex]

Final equation:

[tex]y=10x-24[/tex]

Find The Equation Of The Normal To The Curve In Y=mx+b Format : P(t) = 3t^2 - 8t + 3 At T = 3

Related Questions

A business woman bought a stove for $1209.calculate the selling price of the stove if she made a profit of 11%. (B) the stove was damage in transporting it to the customer . determine the selling price of the stove if she incurred a loss of 8% on the cost price​

Answers

Answer: Look below

Step-by-step explanation:

10% = $120.90

1% = $12.09

11% = $132.99

$1,209 + $132.99 = $1,341.99

She made a $132.99 profit or $1,341.99

—————————————————————

8% = 96.72

$1,341.99 - $96.72 = $1245.27

————————————————

Or if it is $96.72 off the price she bought it then it would be

$1,209 - $96.72 = $1,112.28

Can u help me with these plss

Answers

Answer: 40BC and 766AD

Step-by-step explanation:

Which expression is equivalent to 7 − 9 ?

Answers

Answer:

Try subtracting 9 from 7 to find the value.

Step-by-step explanation:

Fawzia has two summer jobs. During the week she works in the grocery store, and on the weekend she works at a nursery. She gets paid $19 per hour to work at the grocery store and $21 per hour to work at the nursery. How many total hours does she work if she does 15 hours at the grocery store and 6 hours at the nursery? How many total hours does she work if she does g hours at the grocery store and n hours at the nursery?

Answers

Answer:

In total she works 21 hours and for the equation its gn=g+n

Step-by-step explanation:

got the equation i just put gn but that can be replaced with 21 since g and n both represent the number of hours fawzia works

In the equation, 6x - 2y = 11, what is the slope?

Answers

The slop of tge equation is 3

PLEASE HELP ME!!! GIVING BRAINLIEST

Answers

Hi there! I am here to help with your question.

I believe the answer is A, 39°, 57 minutes 23.76 seconds.

Thank you and I hope this helped.

Answer:

The correct answer is A

Step-by-step explanation:

hope it will help you

(50 x 40 / 4 + 20) + (50 / 2 + 25) =

Answers

Answer:

= 570

Step-by-step explanation:

Priority in order:

BracketX and /+ and -

    (50 x 40 / 4 + 20) + (50 / 2 + 25)

=   (2000 / 4 + 20) + ( 25 + 25)

=   ( 500 + 20) + ( 50 )

=   ( 520 ) + 50

=   520 + 50

=   570

If a=-4xa=−4x and b=5ib=5i, then find the value of ab^2ab 2 in fully simplified form.

Answers

The value of ab^2 in simplified form is -1

Given the following expressions:

a = 4xb = 5i

We are to evaluate the expression [tex]ab^2[/tex]

Substitute the given parameters into the formula to have:

[tex]ab^2 =4x(5i)^2\\ab^2 = 4x(25i^2)\\ab^2=4x(50(-1))\\ab^2=-100x[/tex]

Hence the value of ab^2 in simplified form is -100x

Learn more on exponential functions here: https://brainly.com/question/12940982

12x(8x-20)÷4(2x-5) please solve it​

Answers

Answer: 48[tex]x^{3}[/tex]-240[tex]x^{2}[/tex]+300x

hopes this helps

i need help with this!!!!

Answers

Answer: 2. 5.

Step-by-step explanation:

How does a domain restriction placed on a non-invertible function affect its inverse? Drag a function or an interval into each box to correctly complete the statement. When the domain of the non-invertible function f(x)=(x+1)^2−3 is [−1,∞), the inverse of the function is Response area, and the domain of the inverse function is

Answers

Using inverse function concepts, it is found that:

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A function will have an inverse if for each output, there is only one respective input.The domain of the inverse is the range of the original function.

The function given is:

[tex]f(x) = (x + 1)^2 - 3[/tex]

It's range is [tex][-3, \infty][/tex], which will be the domain of the inverse.

To find the inverse, we exchange x and y, and isolate y, then:

[tex]y = (x + 1)^2 - 3[/tex]

[tex]x = (y + 1)^2 - 3[/tex]

[tex](y + 1)^2 = x + 3[/tex]

[tex]\sqrt{(y + 1)^2} = \sqrt{x + 3}[/tex]

[tex]y + 1 = \sqrt{x + 3}[/tex]

[tex]y = \sqrt{x + 3} - 1[/tex]

The inverse of the function is [tex]y = \sqrt{x + 3} - 1[/tex], and the domain of the inverse function is [tex][-3, \infty][/tex].

A similar problem is given at https://brainly.com/question/13160937

Answer:

Step-by-step explanation:

Rewrite this equation below into Slope-intercept form
y-10=2/3(x-3)

Answers

Answer:

y= 2/3x+8

Step-by-step explanation:

you add 10 to both sides then combine -2 with 10 to get 8

then 1x times 2/3 is 2/3x and -3 times 2/3 is -2

Find the solution
Y = -3x - 5

Answers

Answer:
-5/3

Explanation:

what’s the distance between 4 and 20

Answers

Answer:

16

Step-by-step explanation:

The distance is 16 because when 4 and 20 are on a number line the distance can be measured by subtracting. So 20 minus 4 = 16. :)

16 is the answer because 20-4=16

1 – 2x + 3y for when X = – 2 and y = – 5

Answers

Answer:

-12

Step-by-step explanation:

1-2x+3y

1-2(-2)+ 3(-5)

1-4-9

= -12

write the number twenty-nine million sixty thousand​

Answers

29,060,000

When writing this out, it is important to make sure you include the commas and the exact amount of zero's by the way.

Answer:29,060,000

Step-by-step explanation:

with every three zeros your number grows bigger 100,00= One hundred thousand. 29,000,000 = thwenty-nine million

find the slope of the line that contains each pair of points -9,-5 and 6,-5​

Answers

The slope will be -5-(-5) divided by 6-(-9) which will give you 0 (zero)

y = 5x + 1
Table down below
Help!

Answers

Answer:

Answers below

Step-by-step explanation:

-32 -> -7.4

0 -> 1

20 -> 5

#1

Data se about speed dating include like ratings of male dates made by the female dates the summary statistics are n - 197


Please help will mark as brainliest

Will report if any links

Answers

Answer:

= 188, x = 7.89, s = 2.23

Step-by-step explanation:

= 188, x = 7.89, s = 2.23

i was wondering if u convert 38 inches to centimeters what would it be i told my teacher there is no correct answer for it

Answers

Answer:

96.52 cm

Step-by-step explanation:

Your teacher is incorrect, probably telling you this to avoid you wasting time

Answer:

96.52 cm

Step-by-step explanation:

1 inch is 2.54 cm

so 38 inch will be 2.54*38

96.52 cm

PLEASE HELP THIS IS A FINAL AND IM SO CONFUSED!!!!

Answers

Answer:

C

Step-by-step explanation:

yeah-ya............... right?

help, please!! please have a small explanation

Answers

Answer:

18

Step-by-step explanation:

63/7 = 9

Reduction factor is 9

2x9 = 18

x = 18

Hope that helps

Answer:

x = 18

Step-by-step explanation:

63 divided by 7 equals 9, so 7 is 9 times smaller, meaning 2 must be too

2 times 9 is 18

x=18

Rationalize the denominator and simplify. I will give brainliest
(\sqrt(a+1)-2)/(\sqrt(a+1)+2)

Answers

Answer:

(\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

Step-by-step explanation:

To rationalize the denominator, you have to multiply the denominator and the numerator by (\sqrt(a+1)-2) (which doesn't change the value of the fraction)

You get: (\sqrt(a+1)-2)^2/a+1-4=[a+5-4(\sqrt(a+1)]/(a-3)

What is 7.15-0.274???

Answers

Answer: the answer is 6.876

Step-by-step explanation:

7.15-0.274=6.876

7.500-0.274=6.876

I hope this helps.

BRAINEST PLEASE

if shan has rupees 4800 left after spending 40% of his salary how much did he have in the beginning ​

Answers

Step-by-step explanation:

I think that's clear enough

Is the figure shown in the xy- plane a parallelogram? Why or why not. use the coordinates to history your answer.
Please help!!! Due in 15 mins !!

Answers

Answer:

Step-by-step explanation:

It is a parrallelogram, the two lines are Parallel to each other meaning they will never cross each other

The given xy- plane is a parallelogram.

When a plane figure is called a parallelogram?

A plane figure is called a parallelogram when it have four sides, in which opposite sides are parallel to each other and each side is equal in length to its opposite side.

How to find the distance between two points?

If [tex](x_{1},y_{1} })[/tex] and [tex](x_{2},y_{2})[/tex] are the two points then the distance between these points is given by

[tex]d=\sqrt{(x_{2}-x_{1}) ^{2} +(y_{2}-y_{1} ) ^{2} }[/tex]

Where, d is the distance between two points.

According to the given question

We have a plane figure PSTO

And the coordinates of points P, S, T, and O are (a, b), (a + c, b), (c, 0) and (0,0) respectively.

Now, the length of the sides by distance formula

PS = [tex]\sqrt{(a-a-c)^{2}+(b-b)^{2} }[/tex]

PS = [tex]\sqrt{c^{2}+0 }[/tex]

PS = c

Similarly,

ST =[tex]\sqrt{(a+c-c)^{2}+(b-0)^{2} }[/tex]

ST = [tex]\sqrt{a^{2} +b^{2} }[/tex]

TO = [tex]\sqrt{(c-0)^{2}+(0-0)^{2} }[/tex]

TO = [tex]\sqrt{c^{2} }[/tex]

TO = c

And, PO = [tex]\sqrt{(a-0)^{2}+(b-0)^{2} }[/tex]

PO = [tex]\sqrt{a^{2} +b^{2} }[/tex]

From the above calculation we found that

PS = TO

PO = ST

⇒ Length of the  opposite sides of the plane figure are equals.

And from the given figure we can see that the opposite sides are also parallel to each other.

Therefore, the given xy- plane is a parallelogram.

Learn more about parallelogram here:

https://brainly.com/question/11220936

#SPJ2

An alternating current i in amperes in a certain circuit can be found after t seconds using i= 3 (sin 150)t , where 150 is a degree measure. Rewrite the formula in terms of sum of two angle measures.
Group of answer choices

a 3[sin (130 + 15)] t

b 3[sin (45 + 45)] t

c 3[sin (180 - 45)] t

d 3[sin (90 + 60)] t

Answers

The formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Since the alternating current i in amperes after t seconds is i = 3(sin150)t.

We want to write 150 as the sum of two angles measures.

So, 150 = 90 + 60.

So, the current i = 3(sin150)t

i = 3[sin(90 + 60)]t

So, the formula in terms of sum of two angle measures is c 3[sin(90 + 60)]t

Learn more about sum of two angles here:

https://brainly.com/question/16560125

guyssss please help me with this maths problem it's from coordinates I hope you will help me I literally need this one pls will give 8 points​

Answers

Answer:

find the perpendicular of the angle of pole

find the measure of each variable

Answers

Answer:

m∡r = 35°

m∡t = 145°

m∡u = 35°

m∡v = 90°

m∡w = 125°

Step-by-step explanation:

m∡r = 180-(134+11)

= 180 - 145

m∡r = 35°

m∡r + m∡t = 180°

35 + t = 180

m∡t = 145°

m∡t + m∡u = 180°

145 + u = 180

m∡u = 35°

m∡u + m∡v + 55° = 180°

35 + 55 + m∡v = 180

m∡v = 90°

m∡w + 55° = 180°

m∡w  = 125°

Solve for X Enter the answer only with no spaces between numbers, symbols, and or variables

Answers

Answer:

x=-23

Step-by-step explanation:

Since 180° is a straight line you must find a way to get 180 by adding 97°,106°, and x.

Therefore, x must be equal to -23.

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