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e-lub [12.9K]
3 years ago
13

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

Mathematics
1 answer:
Marianna [84]3 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.

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How do you do number 2? Help please and thank you.
Dmitrij [34]

Answer:

{3,-1}

Step-by-step explanation:

m^2 -2m -3=0

What 2 numbers multiply to -3 and add to negative 2

-3* 1 = -3

-3 +1 =-2

(m-3) (m+1) =0

Using the zero product property

m-3 = 0  m+1 =0

m=3        m=-1

{3,-1}

6 0
4 years ago
Kyle stood on a bridge and threw a rock up and over the side. The height of the rocks in meters can be approximated by approxima
mojhsa [17]

Answer:

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747)

Step-by-step explanation:

The given expression is -5·t² + 5·t + 24

To factorize the expression by completing the square method, we equate the expression to zero to get;

-5·t² + 5·t + 24 = 0

WE divide by -5 to get;

t² - t - 24/5 = 0

t² - t = 24/5

t² - t + 1/4 = 24/5 + 1/4

(t - 1/2)² = 5.05

t - 1/2 = ±√5.05

t = 1/2 + √5.05, 1/2 - √5.05

The factorized expression becomes;

(t - 1/2 + √5.05) and (t - 1/2 - √5.05)

Which gives;

(t - 2.747) ×(t - 1.747)

The factorized expression is (-5) × (t - 2.747) ×(t - 1.747).

8 0
4 years ago
Start with the standard formula for the area of a triangle, and rewrite it to solve for the base, b.
solong [7]

Answer:

2A/h = b

Step-by-step explanation:

The formula for area of a triangle is

A = 1/2 bh

Multiply each side by 2

2A = 2*1/2 bh

2A = bh

Divide each side by h

2A/h = bh/h

2A/h = b

4 0
3 years ago
Read 2 more answers
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Vaselesa [24]

Angle 3 is

180-47-62=

100-9=

91 degrees

Angle two is

180-62=

118 degrees

Angle one is

180-22-118=

180-140=

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-Hunter

8 0
2 years ago
Suppose a die is tossed 5 times. what is the probability of getting exactly 2 fours?
djyliett [7]
We cant get 2 fours in a single die.we need at least 2 die to get 2 fours.
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