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jasenka [17]
3 years ago
12

Help on word problems plz!! :)

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0
I can help you with 11 so its 588 because I know that 600 divide by 12 equals 50 so they said they want less then 600 so I tried 49 times 12 equals 588
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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
Twenty percent of what number is 9?
vampirchik [111]

Answer:

C

Step-by-step explanation:

There are 100%. When divided by 5 you get twenty percent. 9 times 5 equals 45.

3 0
3 years ago
Simplify the expression (2^-4)^-2
Vedmedyk [2.9K]

Answer:

256

Step-by-step explanation:

Hope this helps!

If not, I am sorry.

6 0
2 years ago
R
Shalnov [3]

Answer:

x = 54

y = 47.5

Step-by-step explanation:

If two lines p and q are parallel and line r is a transversal intersecting these lines at two different points,

(x + 56)° = (2x + 2)° [corresponding angles]

2x - x = 56 - 2

x = 54

Similarly, lines r and s are parallel lines and q is a transversal line intersecting these lines,

(y + 7)° + (3y - 17)°= 180° [Consecutive exterior angles]

4y - 10 = 180

4y = 190

y = 47.5

3 0
3 years ago
Plss help me with this equation
weeeeeb [17]

Answer:

x = 110 degree

Step-by-step explanation:

Hope this helps u !!

5 0
3 years ago
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