All categories

2 years ago

The sum of two positive numbers is 588. minimize the sum of the first and three times the second

Mathematics

1 answer:

Marianna [84]2 years ago

6 0

9514 1404 393

Answer:

{587, 1}

Step-by-step explanation:

The sum will be minimized when the second number is as close to zero as is allowed. If the numbers must be positive integers, the sum is minimized when the numbers are {587, 1}.

If the numbers may be real numbers, then the values that minimize the sum are {588-, 0+}

_____

The "cost" of taking a unit from the sum 588 and assigning it to the second number is that the sum of first and 3 times the second goes up by 3. In order to minimize that sum, the second number must be minimized.

You might be interested in

Which set of coordinates describes a function?

Marrrta [24]

“A” because none of the coordinates repeat.

7 0

2 years ago

Help me please!! This is timed and I’m stuck

Brums [2.3K]

Answer:

D is the correct answer

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A survey of 898 U.S. VCR owners found that 16% had VCR clocks that were currently blinking “12:00.” (Source: Wirthlin Worldwide)

yKpoI14uk [10]

In this case scenario, the population and sample would be:

Population : Collection of all US adult who own VCR

Sample : Collection 898 US adult who own VCR

<span>Therefore the answer to this is “False”</span>

<span>Hope this helps you!</span>

8 0

2 years ago

Read 2 more answers

Solve for M <br> 6M=2 <br> Simplify your answer as much as possible. 20 Points

nignag [31]

M= 1/3. Hope this helps :)

7 0

2 years ago

Read 2 more answers

Using a sheet of graph paper, solve the following system of equations graphically. Be sure to show any work, use a straight edge

madam [21]

Answer:

Step-by-step explanation:

Given system is

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

If we graph, the solution would be the interception point between these two lines, because each linear equation represents a line. The lines are attached.

In the graph, you can observe that the solution is the point (-1,1), that is x = -1 and y = 1.

Now, if we want to solve this system by another method, we can just sum both equations and solve for <em>x</em>

$\left \{ {{x+y=0} \atop {x-y+2=0}} \right.$

$2x+2=0\\x=\frac{-2}{2}=-1$

Then, we replace this value in one equation to find the other value

$x+y=0\\-1+y=0\\y=1$

Therefore, the solution is (-1,1)

4 0

2 years ago