![sequoyaburke](/avatars/32444.jpg)
sequoyaburke
03.01.2020 •
Mathematics
What is the maximum value of 4(x + 7)(2 - x), over all real numbers x?
Solved
Show answers
More tips
- C Computers and Internet 3D Glasses! What is this thing?...
- C Computers and Internet How to insert videos into LiveJournal?...
- C Computers and Internet How Much Does an iPhone Cost in America?...
- F Family and Home How to Choose the Best Diapers for Your Baby?...
- F Family and Home Parquet or laminate, which is better?...
- L Leisure and Entertainment How to Properly Wind Fishing Line onto a Reel?...
- L Leisure and Entertainment How to Make a Paper Boat in Simple Steps...
- T Travel and tourism Maldives Adventures: What is the Best Season to Visit the Luxurious Beaches?...
- H Health and Medicine Kinesiology: What is it and How Does it Work?...
- O Other How to Choose the Best Answer to Your Question on The Grand Question ?...
Answers on questions: Mathematics
- M Mathematics Let x represent the number of pages left to be read in a book consisting of 780 pages. Which of the following is the domain of x? A. The set of all integers between 0 and 750...
- M Mathematics PLZZZZZZZZZZZZZZZZZ HELP I NEED HELP !! WILL GIVE BRAINLIST! :))...
- M Mathematics B. use the formula to solve 3x + 7 = 19 and x - 1=5....
- C Chemistry For hydrogen, what is the wavelength of the photon emitted when an electron drops from a 4p orbital to a 2s orbital in a hydrogen atom?...
- B Biology If a local population of a species goes extinct, which of the following outcomes is/are possible? a. genetic variation may be lost from the species as a whole b. population...
- M Mathematics 1. Use pictures or words to describe a combination of coins you could use to make $3.85? Pls help and it’s Canadian money...
Ответ:
The maximum value of function is 81 .
Step-by-step explanation:
Given function as :
y = 4 (x + 7) (2 - x)
Now, The function can be written as
y = 4 (2 x - x² + 14 - 7 x)
y = 4 ( - x² - 5 x + 14)
y = - 4 x² - 20 x + 56
Now, For maximum value of function , differentiation of y with respect to x
Or,
= 0
Or, - 8 x - 20 = 0
Or, - 8 x = 20
∴ x =![\dfrac{-20}{8}](/tpl/images/0441/7167/0f69b.png)
i.e x =![\dfrac{-5}{2}](/tpl/images/0441/7167/23735.png)
Now, Putting the value of x in the given equation
y = - 4 (
)² - 20 (
) + 56
Or, y = - 4 (
) + 50 + 56
Or, y = - 25 + 50 + 56
∴ y = 81
So, The maximum value of function is 81
Hence,The maximum value of function is 81 . Answer
Ответ:
No, Jane would not be correct because 3 factors of ten would be equal to 1000 and that is more than 100 so therefore she is incorrect
Step-by-step explanation: