The sum of two nonnegative numbers is 50. What is the maximum value of the product of these two numbers ?

Answers

Answer 1

Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.


Related Questions

Ian bought a can of soup to give to his friend.(Ian is cheap) Now he wants to wrap the entire soup can. If the can has a circular base with a diameter of 4 inches and a height of 6 inches, how much wrapping paper will Ian need?

Answers

Answer:10inches

Step-by-step explanation:

Some students want to order shirts with their school logo. One company charges $9.65 per shirt plus a setup fee of $43. Another company charges $8.40 per shirt plus a $58 fee. For what number of shirts would the cost be the same?
What are the variables, equations, and how do you solve?

Answers

i don't know what ur say can u be more specif sorry

The locations of Mr. Zavala's house (3, 2) and office (6, 11) are mapped on the coordinate plane below.
his daughter school is 2/3 the distance from his house to his office and lies on the segment shown. What are the coordinates of the school?

Answers

The coordinates of the school is now (5,7).

Answer: (5,8)

Step-by-step explanation:

Justin made 6 pounds of granola to sell at his community fair. He charges $6.35 for each 23-pound bag of granola.
How much money will Justin earn if he sells all of the granola?

Answers

Answer: 38.1$

Step-by-step explanation:

Answer:

About $24.34

Step-by-step explanation:

if you do 23 divided by 6 you get 3.8333333 then you do 3.83333333 times 6.35 and you get about $24.34.

Anyone can help me with this math question?

Answers

Answer:

1,890 feet

Step-by-step explanation:

2 inches=30 feet

4.2 inches= 63 feet

63ft x 30 ft= 1,890ft

PMark for Review
5 The Raven Club sold tickets to the local fall festival. On day one, they sold 50 child tickets and 75 adult
tickets and the total was $525. On day two, they sold 45 child tickets and 65 adult tickets and the total
was $460. What was the cost of the adult tickets?

Answers

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?  

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 =  −(8y+72)/3

X = (-8/3) y + 24

Substitute  (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

y = 6

Mhanifa please help I will mark brainliest!

Answers

The second picture. I think its A.

Parallel lines problem:

Parallel lines have the same slope, so the answer should give a pair of lines whose slope is equal to that of line m, i.e., 2/3.

The only line that fits the bill is line p, whose slops is (8-6)/(12-9) = 2/3; none of the other lines has a slope of 2/3. Thus, b would be the correct answer here for the first image.

Congruent triangles problem:

Segment ZX and angle Y would be congruent to segment SQ and R, respectively, so the correct answer for the second image would be a.

Keylina used 8 cups of chocolate chips to make 4 batches of muffins. Which of the following rates represent the cups of chocolate chips per batch of muffins?

Answers

2 cup per batch.

8 ÷ 4 = 2

HELPPP FOR 25 POINTS

Answers

Answer:

X/15 = 32/20

x = 24 ft

Step-by-step explanation:

X/15 = 32/20

x = 24 ft

What is the difference in length between the longest meteor and the shortest meteor?

Thanks! Hope your right! Hope you have a great day

Answers

1 5/8
1 7/8 - 2/8= 8+7/8 - 2/8= 15/8 - 2/8= 13/8=
1 5/8 is the answer

The top of a building is a cone 10 meters tall with a radius of 4 meters at the base. Round to the nearest hundredth.

Answers

Answer:

V = 167.55 m³

Step-by-step explanation:

Given that,

The height of a cone, h = 10 m

Radius of the cone, r = 4 m

It can be assumed to find the volume of the cone. Th formula for the volume of a cone is given by :

[tex]V=\dfrac{1}{3}\pi r^2 h\\\\V=\dfrac{1}{3}\pi \times (4)^2\times 10\\\\V=167.55\ m^3[/tex]

So, the required volume is 167.55 m³.


Suppose a motorcycle costs $8,000 and loses 4% of its value each year. What will be the value of the motorcycle after 7 years?​

Answers

Answer:the answer is 6,012 after 7 years

Step-by-step explanation:

i just took the quiz

given: y is the midpoint of xz
prove: xy = 1/2xz

Answers

Answer:

yes im pretty sure that is correct

(-3,-4)&(-2,-8)

find the slope between the two points ​

Answers

Answer:

Step-by-step explanation:

Givens

y2 = - 4

y1 = - 8

x2 = - 3

x1 = - 2

==========

Equation

m = (y2 - y1) / (x2 - x1)

m = (-4 - - 8) / (-3 - - 2)

m = 4 / - 1

m = - 4

Answer:

(1, -4)

Step-by-step explanation:

(-3, -4) >> (x1, y1)

(-2, -8) >> (x2, y2)

(y2 - y1)           -8 - (-4) = -4

----------- >>>

(x2 - x1)           -2 - (-3) = 1

x always goes first in a coordinate, so

(1, -4)

Hope this helped ;)

If point (7.b) is in Quadrant I and point (a.--3)
is in Quadrant III, in which Quadrant is the point
(a,b)?

Answers

The point (a,b) would be in quadrant 2 (the one on the top left)

Answer:

II

Step-by-step explanation:

In Quad I b(y) is positive and in Quad III a(x) is negative so (-,+)

x is negative and y is positive in Quadrant II

is there anyone who can find the x and y intercepts of y = log 4 (x + 16) - 1?

Answers

I’ve attached my answer...
Hope this helps

Find y. Simplify completely.

Answers

y=√9+√25

3+5

=8

division is addition

Roberta earns $262.50 per week. She works 30 hours per week. How much does she earn per hour

Answers

Answer:

292.5

Step-by-step explanation:

Roberta earns $262.50 per week so i added 262.50 and 30 and got 292.5

2. Which expression is equivalent to 11-4x118?
A.
121-32
B.
11-32
C.
114
D.
1214

Answers

The answer to your question is C, 11^4

HELP!!!!!!!If a 0.27 cm long crystal appears to be 13.5 cm long under a
microscope, what is the power of the microscope?

Answers

Answer:

50 times magnification

Step-by-step explanation:

13.5/0.27

The measure of EFH is twice the measure of GFH. What is the
degree measure of GFH?
HELP PLEASE I NEED HELP ASAP IM TIMED

Answers

60 degree angle.
Hope this helps

Answer:

30 degree's

Step-by-step explanation:

Becuase the rule is GFH(2)+EFH

And GFH+EFH+90 the only solution is 30 and 60.

a model plane has a scale of 1 in: 2 ft. if the real plane is 12 ft tall then how tall is the model plane.

Answers

Answer:

6ft tall

Step-by-step explanation:

Given we know that the scale is 1 in 2ft.

Using this information we know we could divide 12/2=6. We also know that we could multiply 2×6=12. Therefore, we know that the model plane is 6ft tall.

I hope this helps!

Your close, it wouldn’t be 6 ft it would be 6 inches, I know that is just a misread but I thought I would clarify.

please help and thank you ​

Answers

I believe 2 dollars and 50 cents

Answer:

0.40 cents per apple

Step-by-step explanation:

$1.59 divided by 4= 9.3975= 0.40 (to the nearest hundredth)

What does it mean to reason mathematically?

Answers

uhhh giving evidence using mathematical equations/terminology
To be all about math basically

You respect math

You live and EAT MATH!!

What does to solve the equation x - 2 = 9 (hint: you would need to subtract 2) form both sides of the equation am I correct?

Answers

Answer:

I think the answer to X = 11.

Step-by-step explanation:

X - 2 = 9, correct?

11 - 2 = 9.

I hope this can help! Please correct me

if i got it wrong. :D

At East Coast Dogs, 9 of the last 18 customers wanted mustard on their hot dogs. Considering this data, how many of the next 8 customers would you expect to want mustard?

Answers

Answer:

9

Step-by-step explanation:

because the paragraph is telling you 9 of the 18 customers want mustard on their hot dog so the paragraph is telling you de answer

Answer:

57

Step-by-step explanation:

First, write the experimental probability as a fraction in simplest form.

P(mustard)

=

mustard

total

=

mustard

mustard+other

=

30

30+10

=

30

40

=

3

4

The experimental probability is

3

4

.

We can predict the outcome of the second set of trials by assuming that the ratio will be the same as in the first set of trials. Write a proportion by setting the two ratios equal to each other, then solve.

3

4

=

n

76

3

4

(476)

=

n

76

(476) Multiply both sides by (476)

376

= 4n Simplify

228

= 4n Simplify

57

= n Divide both sides by 4

You would expect 57 of the next 76 customers to want mustard.

How would you simplify the expression represented by the diagram below? Four figures. The first consists of 4 squares each labeled 1. The second consists of 2 rectangles each labeled c. The third consists of 2 squares each labeled 1. The fourth consists of one rectangle labeled c.

Answers

Based on the description of the diagram, we get simplified  expression is 6 + 3c.

Describe Algebraic Expression?

An algebraic expression is a mathematical phrase that consists of variables, constants, and arithmetic operations (such as addition, subtraction, multiplication, and division), as well as exponentiation and roots. These expressions are used to represent mathematical relationships and formulas in a concise and standardized way.

Based on the description of the diagram, we can simplify the expression as follows:

There are 4 squares labeled 1, so their total value is 4.

There are 2 rectangles labeled c, so their total value is 2c.

There are 2 squares labeled 1, so their total value is 2.

There is 1 rectangle labeled c, so its value is c.

Therefore, the expression represented by the diagram simplifies to:

4 + 2c + 2 + c

6 + 3c

So the simplified expression is:

6 + 3c.

To know more about expression visit;

https://brainly.com/question/24242989

#SPJ1

What is the mean?
-9 -9 -3 -6 -7

Answers

Answer:

-6.8

Step-by-step explanation:

To find the mean, you add all the numbers together, then divide that number by the amount of numbers there were, so:

-9 + -9 + -3 + -6 + -7 = -34

-34/5 = -6.8

Yoooo, if you gave me brainliest that would be pretty pog. Because as it turns out, only a small percentage of the people I answer actually give me brainliest. I'm trying to get Virtuoso by the end of the day, and you giving me brainliest would really help out. Also while you're at it leave a thanks and a 5-star rating to help boost this answer in the brainly algorithm.

Please Help!!!......

Answers

3?
i’m not too sure sorry boo xxo

Round 38224 correct to 1 significant figure​

Answers

the answer is 40000!
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