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Travka [436]
3 years ago
10

9, 10, 12, x, 20, 25 the median is 14 whats x

Mathematics
1 answer:
Lady_Fox [76]3 years ago
8 0
X equals 16
12+16=28
28 divided by 2 = 14
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Given: A, B, and C What is the value of X in the matrix equation AX + B = C?
Ksju [112]

Answer:

Option (2)

Step-by-step explanation:

Given expression is, AX + B = C

A=\begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}

B=\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix}

C=\begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}

AX + B = C

AX = C - B

C - B = \begin{bmatrix}-42 & -20\\ 5 & 4\end{bmatrix}-\begin{bmatrix}-7 & -9\\ 4 & -1\end{bmatrix} = \begin{bmatrix}-42+7 & -20+9\\ 5-4 & 4+1\end{bmatrix}

C - B = \begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Let  X=\begin{bmatrix}a & b\\ c & d\end{bmatrix}

AX = \begin{bmatrix}-3 & -4\\ 1 & 0\end{bmatrix}\times \begin{bmatrix}a & b\\ c & d\end{bmatrix}

     = \begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}

Since AX = C - B

\begin{bmatrix}(-3a-4c) & (-3b-4d)\\ a & b\end{bmatrix}=\begin{bmatrix}-35 & -11\\ 1 & 5\end{bmatrix}

Therefore, a = 1, b = 5

(-3a - 4c) = -35

3(1) + 4c = 35

3 + 4c = 35

4c = 32

c = 8

And (-3b - 4d) = -11

3(5) + 4d = 11

4d = -4

d = -1

Therefore, Option (2). X = \begin{bmatrix}1 & 5\\ 8 & -1\end{bmatrix} will be the answer.

7 0
3 years ago
Emma borrowed $312 from her sister. She determines that she can pay her back in thirteen months worth of allowance. What effect
gulaghasi [49]

Answer:

This repayment will ultimately reduce her monthly bank account balance

Step-by-step explanation:

This repayment will ultimately reduce her monthly bank account balance. That is because the steady monthly income that Emma would normally receive to her bank account will be taken out of her account and sent to her sister's account. This will continue to occur for 13 months until Emma pays back the $312 that she borrowed from her sister. Once the 13 months are over and her debt is paid, her monthly bank balance will return to normal and begin increasing as her income payments get deposited.

7 0
2 years ago
Please please help! I will mark you brainliest thank you math experts
TEA [102]

Answer:

Right skewed Histogram.

Explanation:

As the peak of the graph lies to the left side of the centre.

6 0
2 years ago
Write the product using exponents. 1/5 x 1/5 x 1/5 x 1/5 x 1/5
damaskus [11]

Answer: 1/5 with an exponent of 5.

hope this helps :)

7 0
2 years ago
Need help with this please!!
Umnica [9.8K]

Answer:

1. A) -12, 3 B) -6, 9 C) 0, -6 D) -15, -6

2. L) 1, -4 M) 6, 4 N) 7, -2

3. P) 4, 12 Q) 12, 12 R) 12, 8 S) 4, 8

4. W) 3, -6 X) 9, -3 Y) 15, -6 Z) 9, -9

5. M) -14, -8 N) -8, -6 O) -6, -12 P) -12, -14

6. D) -1, 3 E) 2, 2 F) 2, 1 G) -1, 0

6 0
3 years ago
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