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3 years ago

Select the correct answer.

Mathematics

1 answer:

stira [4]3 years ago

3 0

Answer:

Step-by-step explanation:

Given

$\left[\begin{array}{ccc}-2&3&0\\-4&2&6\\6&-5&6\end{array}\right]$

The product of 3x2 will be six.. We have a scalar which has to be multiplied by the matrix. The method of multiplying a scalar with a matrix is to multiply each element of the matrix by the scalar.

After multiplication the matrix will be:

$\left[\begin{array}{ccc}-12&18&0\\-24&12&36\\36&-30&36\end{array}\right]$

So, B is the correct answer..

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After a discount of 5% the sales price of a game system is $106.78 what is the original price

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106.78/.05=2135.6
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3 years ago

What is the definition of marginal utility? A. The average utility from consuming a good or service multiplied by the number of

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Answer: Option 'E' is correct.

Step-by-step explanation:

Marginal utility is the addition utility derived from each successive unit of a particular good.

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$MU=\dfrac{\Delta TU}{\Delta Q}$

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Answer:

Step-by-step explanation:

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3 years ago

Directions: Using the digits 1 to 9, at most one time each, fill in the boxes to find the largest or smallest possible values fo

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9514 1404 393

Answer:

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largest: 1x -9 = 8; 2y +3 = 7. total = 19

Step-by-step explanation:

If we use variables to represent the box contents, we can write ...

ax -b = c
dy +e = f

Then the values of x and y are ...

x = (c +b)/a

y = (f -e)/d

For positive integer values of the variables, x will always be positive, and y may or may not be negative.

<h3>Smallest sum</h3>

For the sum to be the smallest, we must have x be as small as possible and the ratio (f-e)/d be as negative as possible.

x will be small for large 'a' and for (c+b) small. For y to be as negative as possible, we want 'd' and 'f' small and 'e' large. Best results are obtained for

8x -3 = 4 ⇒ x = 7/8
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For these coefficients, the sum is -6 1/8 = -49/8.

(note that the values of 'b' and 'c' can be swapped with no net effect)

<h3>Largest sum</h3>

For the sum to be the largest, we must have x as large as possible: (b+c) large and 'a' small. At the same time we must have y be positive and as large as possible: (f-e) positive and large, 'd' small. Best results are obtained for

1x -9 = 8 ⇒ x = 17
2y +3 = 7 ⇒ y = 2

For these coefficients, the sum is 19. Again, 'b' and 'c' can be swapped with no effect.

_____

<em>Additional comment</em>

These extreme values are verified by examination of the 60,480 possible permutations of the coefficients.

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