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Leno4ka [110]
3 years ago
9

Can someone please help me with these 4 algebra questions? Image attached.

Mathematics
1 answer:
Ainat [17]3 years ago
7 0

Answer:

What question do you need help on?

Step-by-step explanation:

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Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C
natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

x- y - z = -6  \\ \\ 2y + z = -6 \\ \\  3x -8 y = - \dfrac{1}{2}

The inverse of  \left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right]   is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z =  - 5

Step-by-step explanation:

Using the correlation  of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX)  = A⁻¹ B

X =  A⁻¹ B

So ;

X         =        A⁻¹                             B

\left[\begin{array}{c}x\\y\\z\end{array}\right] =     \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =   \left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]

   

 \left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]

\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]

5 0
3 years ago
If anyone could help please :)
ICE Princess25 [194]

Answer:

what do you need solved

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
Can someone help and explain
IgorC [24]

Answer:

use pythagoras theorem to solve ur problem.

6 0
3 years ago
Each of the students at piano recital takes about 8 3/4 minutes to introduce themselves and play 3 songs. There are 9 students p
Tomtit [17]

For this case we have that each student takes 8 \ frac {3} {4} minutes to perform and play 3 songs. Then, we convert the mixed number to a fraction:

8 \frac {3} {4} = \frac {4 * 8 + 3} {4} = \frac {32 + 3} {4} = \frac {35} {4}

Thus, each student takes\frac {35} {4} minutes.

If there are 9 students in the recital then we have:

9 * \frac {35} {4} = \frac {315} {4} = 78.75 minutes.

Thus, the recital lasts at least 78.75 minutes.

Answer:

The recital lasts at least 78.75 minutes.

5 0
3 years ago
A restaurant bill is $84.96. Estimate a 20% tip. Estimate a 15% tip.
Lisa [10]
If you have to estimate I will put $85 and then to find 20 % you just have to kniw that 10% is equal to 8.5 you just move a decimal then you just add 8.5 plus 8.5 = 17 so 20% of 85 is equal to $17 and to find 15% you already know how much is 10%=8.5 so you just need to find 5% that is equal to 4.25 and then you just add 4.25 to 8.5 and that's equal to 12.75

20%= 17
15%=12.5
4 0
3 years ago
Read 2 more answers
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