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Iteru [2.4K]
3 years ago
9

Given the explicit formula, find the term in each problem.

Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
3 0
I have uploaded the photo with answer
hope I can help you,

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If 3x+2y=18 find x and y for which the product xy takes its maximum value
grin007 [14]

Answer:

  (x, y) = (3, 4.5)

Step-by-step explanation:

You want to find x and y such that xy is a maximum subject to the constraint that 3x+2y=18.

<h3>Objective function</h3>

The objective function f(x, y) = xy is most easily maximized if it can be written in terms of one variable only. Solving the constraint equation for y, we have ...

  3x +2y = 18

  2y = 18 -3x

  y = 1/2(18 -3x) = (3/2)(6 -x)

Then the objective function is ...

  f(x) = x(3/2)(6 -x)

<h3>Maximum</h3>

We recognize this as the equation of a parabola that opens downward, and has zeros at x=0 and x=6. Its line of symmetry is halfway between those, at x = 3. That is the location of the maximum of the objective function.

The corresponding y-value is ...

  y = (3/2)(6 -3) = 9/2 = 4.5

The values of x and y that maximize their product are (x, y) = (3, 4.5).

__

<em>Additional comment</em>

In the attached graph, the larger the product, the farther away the curve is from the origin. The product is maximized subject to the constraint when the curves are tangent to each other. That point of tangency is (x, y) = (3, 4.5).

5 0
1 year ago
What is 17 grams/liters to ounces /quart
Furkat [3]

Answer:

0.57 oz/qt

Step-by-step explanation:

Step 1. Convert <em>grams to ounces </em>

1 oz = 28.35 g

Concentration = 17 × 1/28.35

Concentration = 0.600 oz/L

===============

Step 2. Convert <em>litres to quarts </em>

1 L = 1.057 qt

Concentration = 0.600 × 1/1.057

Concentration = 0.57 oz/qt

17 g/L = 0.57 oz/qt

4 0
3 years ago
1. The ages of Sonal and Manoj are in the ratio of 7:5. Ten years hence, the ratio of their ages will be 9:7. Find the present a
sesenic [268]

Answer:

Ratio of present ages of Sonal and Manoj = 7:5

Let us consider the ages of Sonal and Manoj to be 7x yrs. and 5x yrs. respectively.

After 10 years, ratio of their ages = 9:7

A/q,  7x+10/5x+10 = 9/7

or     9 (5x+10) = 7 (7x+10)

or     45x + 90 = 49x + 70

or      49x - 45x = 90 - 70

or      4x = 20

or       x  =  20/4  =  5 .

Therefore, present age of Sonal = 7x yrs. = 7 x 5 yrs. = 35 yrs.

                    present age of Manoj = 5x yrs. = 5 x 5 yrs. = 25 yrs.              

Step-by-step explanation:

You helped me before so thank you

4 0
3 years ago
What is the value of 2m^2+12 when m = 3?<br> 24<br> 30<br> 37<br> 38
Crazy boy [7]

Answer:

30

Step-by-step explanation:


8 0
3 years ago
What’s the interger of -(-10)
Lorico [155]

Answer:

10

Step-by-step explanation:

<u>A negative number with another negative sign is practically a positive number. </u>

Example:  -(-4)

-(-4)

-1 * -4

4

Question:  -(-10)

-(-10)

-1 * -10

<em>10 </em>

Answer:  10

7 0
3 years ago
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