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
IRISSAK [1]
3 years ago
12

Find the pair of numbers whose sum is 46 and whose product is a maximum.

Mathematics
1 answer:
Vedmedyk [2.9K]3 years ago
7 0
To solve this problem you must apply the proccedure shown below:

 1. Let's call:

 x the first number and and the other number 46-x

 2. Then, the product of both numbers is:

 y=x(46-x)

 3. When you apply the distributive property, you obtain:

 y=46x-x^2

 4. As you can see, the coefficient of x^2 is negative, this means that the maximun value is at the vertex of the parabola.

 5. Then, you have:

 h=-b/2a
 h=-46/2(-1)
 h=23   (x coordinate)

 6.Then:

  y=46x-x^2
 y=46(23)-(23)^2
 y=529

 Therefore the answer is: 23 and 529.

 
You might be interested in
clayton uses 34 of a bottle of hot sauce for every batch of salsa he makes. yesterday, he used 214 bottles of hot sauce. how man
Aleks [24]
If he used 34 bottles for every batch just divide 214 bottles he used by 34 it takes for a batch 
he made 6.3 batches 
8 0
3 years ago
Se corta una manzana en 12 partes, se comen ocho partes. Qué fracción simplificada a su mínima expresión representa la cantidad
lakkis [162]

Answer:

A. 1/3

Step-by-step explanation:

Dado que:

una manzana se corta en 12 partes y se comen ocho partes.

La fracción de manzanas consumidas = 8/12

= 2/3

La fracción de manzanas que quedan = valor original de la manzana que se corta - la fracción de la manzana que se come

La fracción de manzanas que quedan  =1-  \dfrac{8}{12}

La fracción de manzanas que quedan  =\dfrac{12-8}{12}

La fracción de manzanas que quedan =\dfrac{4}{12}

A la fracción más baja; obtenemos = 1/3

6 0
3 years ago
Pleaseeee help me solve this problem
-Dominant- [34]

Answer:

2/5

Step-by-step explanation:

The slope would be the change in y over the change in x which is 2 units up and 5 units to the right, so the answer is 2/5. hope this helps:)

7 0
3 years ago
Read 2 more answers
Match the lengths of the hypotenuse and one leg of a right triangle to the length of the other leg.
Lynna [10]
1. D
2. B
3. A
4. C
Basically always use a^2 + b^2 = c^2 it gives you your A and C so subtract your A from you C and you have your B
3 0
3 years ago
Can someone help me with this? I’m stuck. Thank you!
Leto [7]

Answer:

31°

3

108°

Step-by-step explanation:

The measure of angle ADB is congruent to the measure of angle CBD, so it is equal to 31°.

4x = 12

divide by 4 on both sides and you are left with x=3

angle A is congruent to angle C, so it is equal to 108°.

Hope this helps!

5 0
3 years ago
Other questions:
  • How many cups of a snack mix containing 30% granola should be combined with 4 cups of a snack mix containing 75% granola to get
    5·2 answers
  • It takes 6 and 1/2 cups of chocolate syrup to make 4 and 1/2 gallons of milk. How many cups of syrup would it take to make 9 gal
    8·1 answer
  • Solve nine eighteenths plus one third
    11·1 answer
  • When focusing on wealth accumulation, the rate of return earned on an investment should be higher then the rate of inflation. Tr
    7·1 answer
  • Evaluate the following expression<br><br> 40 -8 - 102
    10·1 answer
  • Helpppppp please i need help on this question
    9·2 answers
  • 56°<br> х<br> 20<br> Solve for x. Round to the nearest<br> tenth.
    14·1 answer
  • Solve for x.<br><br> PLEASE HELP!!
    6·2 answers
  • If the volume of cube is 8 cm^3.Find its length
    6·1 answer
  • HELP PLS PLS PLS PLS PLS z
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!