1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
stepladder [879]
2 years ago
5

Find the derivative. 4) y=(4x+3)^5

Mathematics
1 answer:
Feliz [49]2 years ago
7 0

Answer:

y'=20(4x+3)^{4}

Step-by-step explanation:

We can find the derivative using the <u>chain rule.</u>  

To get the derivative of an expression with an exponent you multiply the expression by the exponent and raise it to the power of the exponent minus one.

Then multiply it by the derivative of the expression inside the parentheses.  

The derivative of 4x+3 is 4, so multiply the rest by 4.  

Therefore the derivative is:

y'=5(4x+3)^{4} *4\\y'=20(4x+3)^{4}

You might be interested in
I am confused on how to solve this using L'hopital's<br> lim→0 (5^x - 3^x)/x
kupik [55]

Answer:

Same here

Step-by-step explanation:

6 0
2 years ago
Louisa has a rectangle that measures 12.55 inches by 9 inches. If she takes 5.2 inches off of each side, what will be the area o
Alex_Xolod [135]

Answer:29.4

Step-by-step explanation:

Plz give me brainliest

5 0
2 years ago
Which ordered pairs make the open sentence true? 3x+y&lt;14 Select all the correct answers. (7, −7) (−1, 6) (3, 6) (4, −1) (6, 0
Jet001 [13]

Answer:

(4, - 1)

(-1, 6)

Step-by-step explanation:

Given the expression :

3x+y<14

Test the opprions to find out the true statement.

(7, - 7)

3(7) + (-7) < 14

21 - 7 < 14

15 < 14 (not true)

(-1, 6)

3(-1) + 6 < 14

3 + 6 < 14

9 < 14 ( true)

(3, 6)

3(3) + 6 < 14

9 + 6 < 14 ( not true)

(4, - 1)

3(4) - 1 < 14

12 - 1 < 14 ( true)

(6,0)

3(6) + 0 < 14

18 < 14 ( not true)

4 0
2 years ago
Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.
NemiM [27]

Complete question is;

Arrange the systems of equations that have a single solution in Increasing order of the x-values in their solutions.

1) 2x + y = 10

x - 3y = -2

2) x + 2y = 5

2x + y = 4

3) x + 3y = 5

6x - y = 11

4) 2x + y = 10

-6x - 3y = -2

Answer:

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

Step-by-step explanation:

1) 2x + y = 10 - - - (eq 1)

x - 3y = -2 - - - (eq 2)

Multiply eq 1 by 3 to get;

6x + 3y = 30

Add it to eq 2 to get;

7x = 28

x = 28/7

x = 4

2) x + 2y = 5 - - - (eq 1)

2x + y = 4 - - - (eq 2)

Multiply eq 2 by 2 to get;

4x + 2y = 8

Subtract eq 1 from it to get;

3x = 3

x = 3/3

x = 1

3) x + 3y = 5 - - - (eq 1)

6x - y = 11 - - - (eq 2)

Multiply eq 2 by 3 to get;

18x - 3y = 33

Add to eq(1) to get;

19x = 38

x = 38/19

x = 2

4) 2x + y = 10 - - - (eq 1)

-6x - 3y = -2 - - - (eq 2)

Make y the subject in eq 1 to get;

y = 10 - 2x

Put in eq (2);

-6x - 3(10 - 2x) = -2

-6x - 30 + 6x = -2

0 = 0

Thus,no solution exists.

Arranging the systems in increasing value of x gives;

System 2, system 3, system 1

3 0
3 years ago
PLEASE HELP !!
Firlakuza [10]

Answer:

<u>200</u>

Step-by-step explanation:

pi · radius · height

3.14 · 8 · 25 = 200

extra : i used symbolab.com :)

7 0
2 years ago
Other questions:
  • Complete the inequality statement.<br><br> 0.83 ___ 8.3%
    15·2 answers
  • Is 0.7 greater than less than or equal to 7/9 show your work !!
    8·1 answer
  • True or False: Every number has a limited amount of factors, but an unlimited amount of multiples. ​
    13·2 answers
  • Right triangle ABC is located at A (−1, 4), B (−1, 1), and C (−5, 1) on a coordinate plane. What is the equation of a circle A w
    9·1 answer
  • Please HELP me!<br><br> Thank You!
    12·2 answers
  • Help pleaseeeeeeeeeeeeeeeeeee
    15·2 answers
  • What is the answer to 4819 / 68<br>​
    11·2 answers
  • PLEASE HELP!!!
    10·1 answer
  • Write a slope-intercept equation for a line passing through the point (5,-5) that is parallel to the line x = -2. Then write a s
    11·1 answer
  • What integer best represents that the temperature outside increased by 12°F?
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!