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drek231 [11]
3 years ago
13

If A is a square matrix of order 2, then det(-3A) is *

Mathematics
2 answers:
Vsevolod [243]3 years ago
6 0

Answer:

c. 9 det A

Step-by-step explanation:

Given the following data;

Since A is a square matrix of order 2, we know that n = 2

K = 3

For any scalar k;

∣kA∣ = k^{n} ∣A∣

<em>Substituting into the equation;</em>

∣-3A∣ = -3²∣A∣

Simplifying, we have;

∣-3A∣ = 9∣A∣

= 9 detA

<em>Therefore, det (-3A) = 9 detA</em>

Angelina_Jolie [31]3 years ago
4 0

Answer:

free points :D

Step-by-step explanation:

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erastovalidia [21]

Answer:

Option A

Step-by-step explanation:

Number of employees exceeded their sales quota = 17

Number of employees met their sales quota = 13

Number of employees didn't exceed their sales quota = 3

Now, we need to find the ratio of the number employees who exceeded their sales quota to the number of employees who didn't exceed their sales quota,

17:13 + 3\\=17:16

So, Option 'A' is correct.

Please mark as Brainliest!!

3 0
3 years ago
there are 72 new houses being built in a neighborhood. Last month, 1/3 of them were sold. This month, 5/8 of the remaining house
Nataly_w [17]

Answer:

15 houses

Step-by-step explanation:

1/3 * 72 = 24

5/8 * 24 = 15

7 0
3 years ago
Factor using the x method <br><br><br> ( please do not answer without showing work )
muminat

Answer:

5(x + 10)(10x - 3)

Step-by-step explanation:

We are factoring

50x^{2} + 485x - 150

So:

((2•5^2x^2) +  485x) -  150

Pull like factors :

50x^2 + 485x - 150  =   5 • (10x^2 + 97x - 30)

Factor

 10x^2 + 97x - 30

Step-1: Multiply the coefficient of the first term by the constant   10 • -30 = -300

Step-2: Find two factors of  -300  whose sum equals the coefficient of the middle term, which is 97.

-300    +    1    =    -299

     -150    +    2    =    -148

     -100    +    3    =    -97

     -75    +    4    =    -71

     -60    +    5    =    -55

     -50    +    6    =    -44

     -30    +    10    =    -20

     -25    +    12    =    -13

     -20    +    15    =    -5

     -15    +    20    =    5

     -12    +    25    =    13

     -10    +    30    =    20

     -6    +    50    =    44

     -5    +    60    =    55

     -4    +    75    =    71

     -3    +    100    =    97

Step-3: Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  -3  and  100

                    10x^2 - 3x + 100x - 30

Step-4: Add up the first 2 terms, pulling out like factors:

                   x • (10x-3)

             Add up the last 2 terms, pulling out common factors:

                   10 • (10x-3)

Step-5: Add up the four terms of step 4:

                   (x+10)  •  (10x-3)

            Which is the desired factorization

Thus your answer is

5(x + 10)(10x - 3)

8 0
3 years ago
Read 2 more answers
Bob bought 8 hockey tickets for $59. Adult tickets cost $10 each and child tickets cost $3 each. How many adult tickets and how
alexdok [17]

Answer:

Bob bought 5 Adult tickets and 3 Child

Step-by-step explanation:

5 adult tickets = 50$

3 Child tickets= 9$

50$+9$= 59$

7 0
3 years ago
Read 2 more answers
5 students participated in a push-up competition.
Wittaler [7]

Answer: 9

Step-by-step explanation:

Formula : Mean = \dfrac{\text{Sum of observations}}{\text{Number of observaions}}

Given: 5 students participated in a push-up competition.

The amount of push-ups each student completed is listed: 12, 7, 10, 11,5.

Mean = \dfrac{12+7+10+77+5}{5}

=\dfrac{45}{5}=9

Hence, the mean number of push-ups = 9

4 0
3 years ago
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