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

Find the volume of the composite solid. Round your
answer to the nearest tenth.
8 cm
8 cm
8 cm
14
The volume is about
cubic centimeters.

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Answer:

this image is unclear i cant answewr this

Step-by-step explanation:

(04.05)
Which of the following is true about a function that is constant? (4 points)

HELP PLEASE

Answers

Answer:

A. it is a horizontal line

Step-by-step explanation:

Need help with this question

Answers

Answer:

C. x = 3

Step-by-step explanation:

8x - 8 = 2x + 10

get the x on it's own

8x - 8 + 8 = 8x

2x + 10 + 8 = 2x + 18

8x = 2x + 18

8x - 2x = 6x

2x + 18 - 2x = 18

6x = 18

now divide each side by 6

6x / 6 = x

18 / 6 = 3

x = 3

X=3

Explanation

8x-8=2x+10

6x=18

x=3

Which is a set of collinear points?

Two lines intersect at point H. One line goes through points L and J. The other line goes through points G, I, and K.
A. G, H, I
B. L, H, I
C. G, H, J
D. G, I, J

Answers

Answer:

Step-by-step explanation:

Abcd

Find the volume of the prism.
5 ft
3 ft
5 ft
4 ft

Answers

Answer:

you have to show the prism

I think it’s 300 cubed ft

one hundred and sixty-two thousandths as a decimal​

Answers

Answer:

0.0162

Step-by-step explanation:

Cause it is

Answer:

0.162

Step-by-step explanation:

one hundred and sixty-two thousandths

162/1000 = 0.162

Find x of the angles are supplementary 3x-2 and 41 degrees ?

Answers

Answer:

x = 47

Step-by-step explanation:

3x - 2 + 41 = 180 {Supplementary}

3x   + 39 =  180

        3x   = 180 - 39

       3x  = 141

          x = 141/3

x = 47

Please can i have the correct answer this is a important test
I will mark you brainliest
I just need part B only

Answers

Answer:

thin think back to wen you were l lerning about it come on you can do it

Isaac and Albert spot a hot air balloon flying at a low altitude. They decide to calculate its height by standing 400 feet apart on a level surface and measuring the angle of elevation to the balloon. From
Albert, the balloon was at an angle of elevation of 62°and from Issac its was 48º. Determine the height of
the balloon above the ground to the nearest foot.

Answers

Answer:

144 feet to nearest foot.

Step-by-step explanation:

Let the distance between Albert and the point on the ground that the balloon is directly above be x feet Then for Isaac the distance is 400 - x feet

So we have 2 right angled triangles and:

tan 62 = h/x

tan 48 = h / (400- x)         where h is the height of the balloon.

From the first equation x = h / tan 62 so plugging this into the second one:

tan 48 =  h /  ( 400 - h/tan 62)

h = 400 tan 48 - h tan 48 tan 62

h + h tan 48 tan 62 = 400 tan 48

h ( 1 + tan48 tan62) = 400 tan48

h = 400 tan 48 / (1 +  tan 48 tan 62)

= 143.8 feet.

DUE IN 5 MINUTES HELP

Answers

Answer:

If its asking to translate by (-5,3) then the answer is the following.

A'(-2, 3)

B'(-1, 1)

C'(-4, 0)

if socks cost $8.97 for 3 pairs how much does one pair cost?

Answers

Answer:

7

Step-by-step explanation:

Answer:

$2.99

Step-by-step explanation:

$8.97/3 = 2.99

$8.97 divided by 3 equals $2.99

Good Luck!

A pair of shoes is on sale for 30% off. The original price is p. Which expression can be used to find the price of the shoes after the discount? 0.30p 0.70p 1.30p 30p​

Answers

Answer:

0.30p

Step-by-step explanation:

(px30)/100=0.3p

Answer:

0.70 p

Step-by-step explanation:

If the item is 30% off, the new price is 0.7p because we want to know how much 70% of the original price was.

Which expression is equivalent to 12x + 20y?

Answers

15x+20y+5z I’m pretty sure

Rewrite the following expression using exponents

1/16

Answers

Answer:

6.25 * 10^-2

Step-by-step explanation:

hmmmmmmmmm

4^-2 is the answer 4 exponent -2

Find the range of each function for the given domain-

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Answer:

42

90

Step-by-step explanation:

ieieieeieeirieiejejejjdjdjdfhdhrhrhrurur

what is the y intercept of 2y - 2x = 8

Answers

Answer:

Step-by-step explanation:

Write in y = mx + b form

here, b ----> y intercept

2y - 2x = 8

     2y = 2x + 8         {Divide the equation by 2}

       [tex]\frac{2y}{2}=\frac{2x}{2}+\frac{8}{2}\\[/tex]

        y = x + 4

y-intercept = 4

Which of the following is a perfect square?

A.) 115
B.) 169
C.) 154
D.) 279

Answers

Answer:

B (169)

Step-by-step explanation:

In the isosceles triangle ABC
AB=AC
angle B = (3x 32)º
angle C =(87-2x)"
Work out the value
of x.

Answers

Answer:

x = 4.5

Step-by-step explanation:

Angle B = angle C because it is an isosceles triangle.

3x32 = 87-2x

96 = 87-2x

reduce:

9 = 2x

x = 4.5

An isosceles triangle is one with two equal-length sides. The value of x is 11.

What is an isosceles triangle?

An isosceles triangle is one with two equal-length sides. It is sometimes stated as having exactly two equal-length sides, and sometimes as having at least two equal-length sides, with the latter form containing the equilateral triangle as a particular case.

Since in an isosceles triangle, the angle made by the equal sides and the base are equal, therefore, we can write,

∠B = ∠C

3x + 32 = 87 - 2x

3x + 2x = 87 - 32

5x = 55

x = 11

Hence, the value of x is 11.

Learn more about Isosceles Triangle:

https://brainly.com/question/2456591

#SPJ1

Item 5
Find the area of the circle. Round your answer to the nearest hundredth.



area: about
cm2

Answers

Here’s the link to the answe

:510 around th e cme3 cthulhu.com

AAAAAAAAAAAAAAAAA HELP

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SAME CAN SOMEONE ANSWER IT ASAP WILL MEAN ALOTTTTT

1/2x+4=20 solve for x.. Help?

Answers

Answer: 32

Step-by-step explanation: ok so here is what i do for those I grab a caculator (desmos online caculator i like to use but not required) then ill do (1/2×x)+4 but then once i write that i go back to the x delete the x and keep putting random numbers in higher and higher by one till the i get the answer (example: for this one i wrote that than i removed the x in it and did 1/2×5+4 then when that did not equal 20 i turned the 5 into a 6 then 6 was wrong so 7, then 8, then i just skipped to 20 then 20 was still wrong so skipped to 30, 30 was also wrong but CLOSE so then i tried 31 then 32 till the answer was 20 and when i did 32 it did say 20) hopes this helps

Answer: x=32

Step-by-step explanation:

1/2x+4=20

      -4   -4

1/2x=16

Multiply by 1/2 on each side

x=32

Use your scratch paper to draw a coordinate plane and plot the following data set: (4,3), (1,2), (9.1), (10,2), (9,10), (1,7),(5,0), and (6,1),
What type of association exists between the data points?

Answers

Answer:

3,)ft

Step-by-step explanationpads: 1 7(.9t

I'm confused. Can someone help and also lmk how to work it out? :)

Answers

Answer:

£5

Step-by-step explanation:

5 boxes will cose 5 x 15.40 = 77 normally.

according to the table, he will get 6.5% discount.

6.5 percent of 77 is 77x0.065 = 5.005 ≈ 5

Answer:

he orders 5 boxes of paperclips, that comes around to 77 dollars. That means he will get a 6.5 percent discount. So you would multiply 77 by .065 and you would get 5.005. You would take that number and subtract it by 77 and would get 71.995 and you can round that up to 72 dollars. My guess is that either 72 or 5.005 is the answer as 72 dollars is the price after the discount and 5.005 is how much he is saving

Step-by-step explanation:

Find the value of x that makes m ∥ n 2x x

Answers

Answer:

Step-by-step explanation:

m/n = 2x/2

but what is the equation u didnt mentiones though

PLEASE HELP!!!! ANSWER FAST

Answers

Step-by-step explanation:

[tex] {d}^{2} = {5}^{2} + {5}^{2} \\ {d}^{2} = 50 \\ d = 5 \sqrt{2} \\ [/tex]

[tex] \tan(60) = \frac{4}{c} \\ c = \frac{4}{ \tan(60) } = 2.3[/tex]

Is this line an accurate line estimate of
best fit for the data?
Yes
No

Answers

Answer:

no.........................

2^2 x 3^4 x 2^5/ 9 x 4^2

Answers

Answer:

Please refer to the attachment

Hope it helps

Please mark me as the brainliest

Thank you

Solve the equation and enter the value of x below.
X +
+(-8) = 2
X =

Answers

Answer:

x = 10.

Step-by-step explanation:

x + (-8) = 2.

First, isolate x by adding 8 to both sides.

x = 8 + 2.

Next, solve.

x = 10.

Finally, you can come to the conclusion that x = 10. Always plug in your answer to make sure it works.

10 - 8 = 2.

2 = 2.

Which of the following could be classified as a census?

A.) a survey of a percentage of each state’s population about voting choices
B.) a survey of each student in a school about school lunch options
C.) a survey of all the children in a supermarket to determine the favorite cereal brands of the general population
D.) a survey of all the women on Main Street to determine the current movie preferences of all people over age 20

Answers

Answer:

the answer should be c..

Find the value of that makes DEF~XYZ

Answers

Answer:

DEF~XYZ

xz/DF=xy/de in similar triangle side are proportional

3x/7=7.5/5

3x=7.5/5 ×1/7=7.5/35

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