derivative of y=(3x+5)^3​

Answers

Answer 1

[tex]\\ \sf\longmapsto \dfrac{dy}{dt}[/tex]

[tex]\\ \sf\longmapsto \dfrac{d}{dt}(3x+5)^3[/tex]

[tex]\\ \sf\longmapsto \{3(3x+5)\}^2[/tex]

[tex]\\ \sf\longmapsto (9x+15)^2[/tex]

[tex]\\ \sf\longmapsto 9x^2+2(9x)(15)+(15)^2[/tex]

[tex]\\ \sf\longmapsto 81x^2+270x+225[/tex]

Answer 2
[tex]\sf{81x^{2}+270x+225 }[/tex]

Step-by-step explanation:

[tex]y=(3x+5)^3\\\\\dfrac{dy}{dx}=\dfrac{d}{dx}(3x+5)^3\\\\\dfrac{dy}{dx}=3(3x+5)^2×\dfrac{d}{dx}(3x+5)\\\\\dfrac{dy}{dx}=3(3x+5)^2×\dfrac{d}{dx}3x+\dfrac{d}{dx}5\\\\\dfrac{dy}{dx}=3(3x+5)^2×3+0\\\\\dfrac{dy}{dx}=9(3x+5)^2\\\\\dfrac{dy}{dx}=9(9x^2+25+30x)\\\\\dfrac{dy}{dx}=81x^2+270x+225[/tex]


Related Questions

PLS HELP ME WITH THIS QUESTION

Answers

Answer:

-0.88

Step-by-step explanation:

(w^2/x - 3)÷ 10.z

(-6/1.2 - 3)÷ 10. -6/7

(-5-3)÷ 9.14

(-8)÷ 9.14

-8/9.14

= -0.88

PLEASE HELP ITS MATH THANK YOUUUU HURRY

Answers

Answer:

3 miles

Step-by-step explanation:

2 divided by 2 is 1 and 6 divided by 2 is 3.

Which of the following is an example of a linear inequality? *

a. 2x - 4 = 6

b. 7x > 3

c. 2x^2 + 3 = 4x

d. x^3 + x^2 - 3 = 0​

Answers

Answer:

It would be B because that is the only answer that contains a inequality symbol.

Step-by-step explanation:

Answer:

Option A is a Linear Pair

Step-by-step explanation:

A linear equation is an equation of a straight line, which means that the degree of a linear equation must be 0 or 1 for each of its variables. In this case, the degree of variable x is 1.

Hope it is helpful....

How do you do
24 divided by 0.012

Answers

Answer:

24 ÷ 0.012 =2000

Step-by-step explanation:

24 ÷ 0.012

= 2000

solve pls brainliest

Answers

Answer:

2n-61

twice a number means 2 x n

61 less is just subtracting 61

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

[tex]2n - 61[/tex]

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

Twice a number means that a number would be multiplied two times. '61 less than XYZ' means that 61 would be taken away from XYZ.

⸻⸻⸻⸻

"61 less than twice a number" would be: 2n - 61

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Estimate -4 2/3 x (2 1/4) + 3 5/6

Answers

Step-by-step explanation:

[tex] \tt{} - 4 \frac{2}{3} \times (2 \frac{1}{4} ) + 3 \frac{5}{6} [/tex]

[tex]\tt{} - \frac{14}{3} \times \frac{9}{4} + \frac{23}{6} [/tex]

[tex]\tt{} - 7 \times \frac{3}{2} + \frac{23}6[/tex]

[tex]\tt{} - \frac{21}{2} + \frac{23}{6} [/tex]

[tex]\tt{} - \frac{20}{3} [/tex]

[tex]\tt{} - 6 \frac{2}{3} [/tex]

Find F2 if FX equals X +1 squared

Answers

Answer:

9

Step-by-step explanation:

f(x) = (x+1) ^2

f(2) = (2+1)^2

f(2) = 3^2 = 9

multiplacation of fractions
c solve (3/9) (-2/3) =

explain​

Answers

Step-by-step explanation:

(3/9) × (-2/3

=> {3×(-2)}/(9×3)

=> (-6/27). Ans.

Or

(3/9) × (-2/3)

=> -2/9 Ans.

Holly buys a $22 shirt for 20% off. The tax rate in her city is 6.5%. What is the total amount she paid for the shirt? Round to the nearest cent.

A.$2
B.$18.74
C.$24.10
D.$8.50

Answers

The total amount Holla paid for the shirt is: B. $18.74

Given the following data:

Cost of shirt =  $22Discount = 20% Tax rate = 6.5%

To find the total amount she paid for the shirt:

First of all, we would determine the discount on the shirt:

[tex]Discount = \frac{20}{100} \times 22\\\\Discount = 0.2 \times 22[/tex]

Discount cost = $4.4

[tex]Selling\; price = Cost\;price - Discount \\\\Selling\; price = 22 - 4.4[/tex]

Selling price = $17.6

Next, we would determine how much tax is to be paid:

[tex]Tax \;cost = \frac{6.5}{100} \times 17.6\\\\Tax \;cost = 0.065 \times 17.6[/tex]

Tax cost = $1.444

[tex]Total\;amount = selling \;price + tax\;cost\\\\Total\;amount = 17.6 + 1.444[/tex]

Total amount = $18.74

Read more: https://brainly.com/question/13282374

Find the measure of side IJ

Answers

Answer:

IJ units

Step-by-step explanation:

What else is there..?

Good Stuff is giving away free pens to each of the first 500 people who come in the store today. In the first hour, they gave away 30% of the pens. How many is this?

Answers

Answer:

150 pens given away

Step-by-step explanation:

10% of 500 is 50

50x3=150

500-150=350

What is the slope of the line represented in the table of values?


A.)9


B.)118


C.)19


D.)18
(PLEASE HELP)

Answers

Answer:

Slope = 9

Step-by-step explanation:

Point (3,27) and (5,45)

m = (45-27)/(5-3)

18/2 = 9

Answer:

9

Step-by-step explanation:

To find the slope of a line, one of the methods is to look for the rise over run, or the change in y over the change in x. If we just look at the first few numbers on the chart, we can see that the change in y (for the first two numbers) is 18, and the change in x (for the first two numbers) is 2. So our slope is 18/2, or 9.

I think this is correct, I hope it helped!! :3

convert the following numbers from base 10 to base 2
1256
10988

Answers

Answer:

Steps To Convert From Base 10 to Base 2-

Divide the given number (in base 10) with 2 until the result finally left is less than 2.

Traverse the remainders from bottom to top to get the required number in base 2.

Hope this helps you get the answers!

6+(-4 3/4)+(-2 1/8)
Fraction in simplest form

Answers

Answer:

6-43/4-21/8

6(-68-21/8)

48-107/8

-59/8

Write an equation that expresses the relationship. Use k as the constant of variation.

x varies inversely as m.

Answers

Step-by-step explanation:

x = k/m

hope this helps. good luck!

PLEASE HELP
will mark brainliest

Answers

Answer:

f(x) = x - 2

Step-by-step explanation:

If you notice, the f(x) or y value is 2 less than the x value for every x value listed. This means that x - 2 = y. Just by rearranging this equation, you are given an equation in the linear form y = mx + b:

y = x - 2

Since the y coordinate is being represented by f(x) in the equation, as it is a function, the answer would be:

f(x) = x - 2

write (4y^4)^2 without exponents ​

Answers

Answer:

(16y)^2

16y^2

--> 256y

Step-by-step explanation:

16y^2

=256y

hope this helped :)

(x^2 + kx + 10) ÷ (x - 1) has a remainder of 4.
I have no idea how to do this, I've tried Synthetic division, remainder theorem etc. and cant figure it out.

Answers

9514 1404 393

Answer:

  k = -7

Step-by-step explanation:

Attached are both synthetic division and remainder theorem solutions. Either way, you find the remainder is k+11, which you want to have a value of 4.

  k +11 = 4

  k = -7 . . . . . subtract 11 from both sides

_____

The second attachment shows the long division that validates this result.

Given the function
7x + 6 x < 0
f(x)
7x + 12 x > 0
Calculate the following values:
f(-1) =
f(0) =
f(2)=
Hanum

Answers

[tex]\left \{ {{7x+6\:\:\:\:\:\:x<0} \atop {7x+12\:\:\:\:x\geq 0}} \right.[/tex]

[tex]f(-1)[/tex]

Solve

[tex]-7\cdot \:1+6x<0[/tex]                          Swap the negative sign

[tex]-7+6x<0[/tex]                               Multiply the numbers

[tex]-7+6x+7<0+7[/tex]                  Add 7 to both sides

[tex]6x<7[/tex]                                       Simplify

[tex]\frac{6x}{6}<\frac{7}{6}[/tex]                                       Divide both sides by 6

[tex]x<\frac{7}{6}[/tex]                                        Simplify

[tex]-7\cdot \:1+12x<0[/tex]                     Swap the negative sign

[tex]-7+12x<0[/tex]                          Multiply the numbers

[tex]-7+12x+7<0+7[/tex]              Add 7 to both sides

[tex]12x<7[/tex]                                   Simplify

[tex]\frac{12x}{12}<\frac{7}{12}[/tex]                                  Divide both sides by 12

[tex]x<\frac{7}{6}[/tex]                                      Simplify

Provide the missing statement and reasons for the following proof: Given: 9(x−6)+41=75Prove: x=889

Answers

Answer:

Reason 1 ) Subtraction Property of Equality

Reason 2 ) Substitution Property of Equality

Statement 3 ) 9x - 54 = 34

Reason 4 )  Addition Property of Equality

Reason 5 )  Division Property of Equality

Step-by-step explanation:

how do you write the equation 5x-7y=2x-7

Answers

Answer:

I suppose you want the answers for x and y, so here they are. x=-7/3, while y=1.

Step-by-step explanation: I just factored depending on the variable I mainly focused on.

f(5)-f(3) = x^2+7x-22

Answers

Answer:

your answer is going to be -158

Step-by-step explanation:

(5)-(3)^2+7×-22=-158

How would I solve 3 - 1 3/8 = ?

Answers

[tex] \begin{cases}{{ \large{ \blue{ \rm{{↬}}}}}} \: \rm \large \: \: 3 \: - \: 1 \times \frac{3}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{3}{1} \: - \: \frac{11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{24 \: - \: 11}{8} \\ \\ {{ \large{ \blue{ \rm{{↬}}}}}} \rm \large \: \: \frac{13}{8} \end{cases}[/tex]

Step-by-step explanation:

you first change the mixed fraction into improper fraction after that you find the LCM .1 * 8 will give you 8 so you multiply 8 * 3 to get 24 8 will divide its self once so you will multiply 1 and11 to get 11 and subtract it from 24to get 13/8 and divide.

Which expression is equivalent to −3(−56) Group of answer choices −157 156 −87 157

Answers

Answer:

D.15r7

Step-by-step explanation:

multiplying two negatives equals a positive: (-)x(-)=(+)

-3rx(-5r^6)

simplifing to

3rx5r^6

then combime like terms to get

15r7

20x^{2} +124x+24[/tex]

Answers

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

[tex]20x^{2} +124x+24[/tex]

To find:

solve the given problem

Solution:

[tex]\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \ and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\[/tex]

Therefore, the final answer is "[tex]\bold{4((x+6)(5x+1))}[/tex]".

Learn more:

brainly.com/question/10755001


PLEASE HELP ASAP

⭐️WILL GIVE BRAINLEST⭐️

Answers

Answer:

First number is 63

Second is 5

Last is 6

Step-by-step explanation:

First mutiply both sides by 9:

9(5/9x + 7 = 2/3)

Then simplify:

5x + 63 = 6

For your layout it is:

63 + 5x = 6

keep in mind significant figures. 6.020*0.0510 (use a calculator)

Answers

Answer:

0.30702

Have a good day.

Answer:

0.030567

Step-by-step explanation:

carry on learning

In a certain university, there was a certain number of students who attended the general orientation. The number of male students was five times as many as that of female students. When 324 male students left the orientation, the number of female students became twice as many as that of male students. How many students attended the orientation?

Answers

Answer:

fewfefdfgtrusergwer h4yr sfd gw gr.

Step-by-step explanation:

The number of students who attended the orientation in that considered university was 432

How to form mathematical expression from the given description?

You can represent the unknown amounts by the use of variables. Follow whatever the description is and convert it one by one mathematically. For example if it is asked to increase some item by 4 , then you can add 4 in that item to increase it by 4. If something is for example, doubled, then you can multiply that thing by 2 and so on methods can be used to convert description to mathematical expressions.

For this case, first, let we assume the number of male students and female students who attended the orientation:

m = number of male students attending the orientationn = number of female students attending the orientation

From the description, we have:

m = 5 times n = 5n

and

(m - 324)'s twice = n

or 2(m-324) = n

Thus, we get system of two equations as:

[tex]m = 5n\\2(m-324) = n[/tex]

Substituting value of m from first equation in second, we get:

[tex]2(5n - 324) = n\\10n -648 = n\\\\n = \dfrac{648}{9} =72[/tex]

Putting this value of n back in first equation, we get:

[tex]m = 5n = 5 \times 72 = 360[/tex]

Assuming that there were only two gendered students in university orientation (males and females), we get:

Total number of students who attended the orientation = m + n = 360 + 72 = 532

Thus, the number of students who attended the orientation in that considered university was 432

Learn more about system of equations here:

https://brainly.com/question/13722693

If E is the circumcenter of MNP, find each measure.

Answers

Answer:

NE = 37

MD = 3[tex]\sqrt{65}[/tex]

Step-by-step explanation:

NOTE: This explanation assumes you have basic knowledge of circumcenters, the Pythagorean Theorem, and pre-algebra

Assuming the calculations you so kindly did for us are correct:

To find NE

Simply plug x, which you found was 5, into the equations 13x-28, then you have the length of the line NE, which is 37.

So

NE = 37

To find MD

A little bit trickier, but still simple. You end up having to use the Pythagorean Theorem. Since NE = ME, you know that ME is equal to 37. Since triangle MED is a right triangle, and you're given on the the side ED (which is 28), and the hypotenuse, ME (which is 37), you can say that

28^2 + b^2 = 37^2

784 + b^2 = 1369

b^2 = 585

b = 3[tex]\sqrt{65}[/tex]

(In which b is MD)

So

MD = 3[tex]\sqrt{65}[/tex]

PLS HELP WILL MARK BRAINLIEST!! TY

Answers

Answer: x=23

Step-by-step explanation:

180=(3x+18)+93

x=23

Answer:

x = 23°

Step-by-step explanation:

(180° - 93° - 18°) ÷ 3 = (87° - 18°) ÷ 3

= 69° ÷ 3

= 23°

your welcome :)

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