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
Ipatiy [6.2K]
4 years ago
13

What is the maximum possible product that can be attained by two numbers with a sum of −8?

Mathematics
1 answer:
borishaifa [10]4 years ago
3 0
For this case, the first thing we must do is define variables:
 x = y = unknown numbers.
 We have the sum of the numbers is -8:
 x + y = -8

 The product of the numbers is:
 P = x * y

 We write the product based on a variable:
 P = x * (- 8 - x)

 Rewriting:
 P = -8x - x ^ 2

 We derive the function:
 P '= -8 - 2x

 We match zero:
 -8 - 2x = 0

 From here, we clear the value of x:
 2x = -8

x = -8/2

x = -4
 Then, the maximum product is:
 P = -8 * (- 4) - (-4) ^ 2

P = 16
 Answer:
 
The maximum product is given by:
 
P = 16
You might be interested in
Can someone plz help me with this one problem plzzzzz!!
irga5000 [103]

Answer:

B

Step-by-step explanation:

add all of last year's and then divide by 3 witch is 3.1

add all of this year's and then divide by 3 witch is 4.1

now subtract witch will give you 1.0

3 0
3 years ago
Read 2 more answers
What is the equation of the line in standard form?
madam [21]

Answer:

x+6y=9 - > y= (-1/6)x+(3/2)

x - 6y=-9 - > y= (1/6)x+(3/2)

-9x - 6y = -9 - > y = (-3/2)x +(3/2)

3x - y = - 6 - > y= 3x + 6

-63x - y = - 6 - > y = - 63x + 6

3x + y = 6 - > y = -3x +6

Step-by-step explanation:

The standard form of the equation of a line is: y=ax+b

You seperate y from x and the constant value(the number) and then devide tge equation with the coefficient of y. Obviously it mustnt be division by zero.

8 0
3 years ago
Use the information in the table. You are making a circle graph showing the total number of successful United States space launc
timama [110]

Answer:

52.9°

Step-by-step explanation:

step 1

we know that

The total number of successful United States space launches that happened in the years 1957-1995 is equal to

15+470+258+153+146=1,042

step 2

The numbers of successful United States space launches that happened in the years 1980-1989 is equal to

153

step 3

The percentage of successful United States space launches that happened in the years 1980-1989 is equal to

\frac{153}{1,042}(100)=14.68\%

step 4

Find out the measure of the central angle you would draw in a circle graph to represent the number of successful United States space launches  that happened in the years 1980-1989

we know that

In a circle, 360 degrees represent the 100%

so

using proportion

Find out the measure of the central angle by a percentage of 14.68%

\frac{360^o}{100\%}=\frac{x}{14.68\%}\\\\x=360^o(14.68\%)/100\%\\\\x= 52.9^o

3 0
4 years ago
A​ salesperson's ratio of successful signups to the number of people called is 0.625. This​ month, the salesperson had 125 signu
stellarik [79]

Answer:

The salesperson called 200 people this month.

Step-by-step explanation:

Let us denote the total people that the salesperson called by a variable "x".

Then,

The ratio of successful signups(success ratio) is given as=0.625

Then total no. of successful signups is the product of the success rate and the total no. of signups ,

i.e. Total successful signups = 0.625*x

According to the data given in the question,

The total no. of successful signups this month =125

or , 0.625*x= 125

or,  x=\frac{125}{0.625}

   ∴x= 200

So, the salesperson called 200 people, out of which only 125 signed up.

4 0
3 years ago
Only answer 13 and 15 i did 14 already
Neko [114]

Answer:

answer to 13 is 10

answer to 15 is 2,300?

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Other questions:
  • E=I(R+r) solve for R
    14·2 answers
  • In the game of tic-tac-toe, if all moves are performed randomly the probability that the game will end in a draw is . Suppose si
    6·1 answer
  • Ms. Blankenship had $80 to purchase school supplies for her class. She bought 32 glue sticks and 32 boxes of crayons. Each glue
    14·2 answers
  • Solve this:<br><br><br> x + 89 = 91<br><br> what is "x"?
    7·2 answers
  • 850 tens equals how many thousand
    7·1 answer
  • Help please! Brainliest and points!
    14·2 answers
  • Which equation gives the number of 1/4 centimetre that are in 7/8 centimetres
    11·1 answer
  • The triangles are similar. Find<br> the missing side length x.
    11·1 answer
  • If tan 3x =<img src="https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D" id="TexFormula1" title="\sqrt{x}" alt="\sqrt{x}" align="absmiddle"
    12·1 answer
  • 11 m
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!