Find two positive numbers whose product is 36 and whose sum is a minimum.

1 answer:

8 0

Let one of the numbers be x. The other number cab then be represented as 36-x (x+36-x = 36).
The product can then be represented as y = x(36-x) or y=36x-x2

The maximum or minimum is always on the axis of symmetry which has the formula x=-b/2a.
In our case, the axis of symmetry is -36/-2, so x=18.

If one number is 18 and the 2 numbers add to 36, the other number is 18 as well.
So the 2 numbers are 18 and 18 and the maximum product is 324,

You might be interested in

How to do all this question ?

prisoha [69]

Answer:

a) 3,6,9,12,15,18,21,24

b) 8,16,24,32,48,56,64,72

a) 16

b) 48

c) 24

d) 36

Step-by-step explanation:

8 0

2 years ago

Read 2 more answers

In music, what does "allegro" mean?

Cerrena [4.2K]

Having a quick, lively tempo. Typically considered to be faster than allegretto, but slower than presto.

8 0

2 years ago

How much is 1/2 of a century

Rudik [331]

Half a century is 50 years. a century is 100 years

8 0

2 years ago

Read 2 more answers

What is the area of this figure?

nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

<em>Solution; 290.5 square miles</em>

4 0

2 years ago

A swimming pool is drained at the end of each summer. Fifteen gallons of water are removed per minute. How much does the amount

BartSMP [9]

Multiplying -15 by 60 yields -900, so the amount of water in the pool changes by -900 gallons in one hour.

7 0

3 years ago