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2 years ago

Solve Ax + By = -C for x. Ox=-By-C А x=-By+C Ox=By=0

Mathematics

1 answer:

dimulka [17.4K]2 years ago

3 0

Answer:

$\textbf{Option 1}\\$

Step-by-step explanation:

$\textup{Given $ Ax + By = -C$}\\\textup{Subtracting $By$ on both sides, we get,}\\$ Ax = -C -By $\\$

$\textup{Dividing by $A$ on both sides, (Assuming $A$ is not equal to zero) we get }\\$$ x = \frac{-By -C}{A}$$$

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2 years ago

Solution for 5-4(2.1x+9.2)<3.5(6-14x)

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3 years ago

5. Mississippi and Georgia have a total of 21 electoral votes. Mississippi has 6 electoral votes. Use mental math or the guess,

MrRa [10]

Answer: g = 15 . Georgia has 15 electoral votes.

Step-by-step explanation:

Mental math: How many do I need to make up the difference?

counting by 5s: 5, 10 15, 20.

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3 years ago

17) Solve the system as matrix equations using inverses. 17) A company produces three models of MP3 players, models A, B, and C.

Vinvika [58]

Answer:

Model A=30, Model B: 20, Model C: 45

Step-by-step explanation:

Let x be the amount of type A mp3 produced, and the amount of model B mp3's produced and z the amount of model C mp3 produced.

Since in total there are 303 hours for electronics work, then:

$3.2x+5.4y+2.2z=303$

Since in total there are 393 hours for assembly, then:

$2.8x+2.4y+5.8z=393$

Since in total there are 416 hours for quality assurance, then:

$4.4x+3.4y+4.8z=416$

Then, the linear system associated to the problem is

$3.2x+5.4y+2.2z=303\\2.8x+2.4y+5.8z=393\\4.4x+3.4y+4.8z=416$

with coefficient matrix $A=\left[\begin{array}{ccc}3.2&5.4&2.2\\2.8&2.4&5.8\\4.4&3.4&4.8\end{array}\right]$ and vector of constant terms $b=\left[\begin{array}{ccc}303\\393\\416\end{array}\right]$

Since the determinant of A is equal to 36.704 then A is invertible.

Then for solve the system $Ax=b$ , is enough find the inverse of A and operate

$Ax=b\\A^{-1}Ax=A^{-1}b\\x=A^{-1}b$

Using Octave we obtain that

$A^{-1}=\left[\begin{array}{ccc}-0.22&-0.50 &0.71\\0.33&0.15&-0.34\\-0.028& 0.35&-0.20\end{array}\right]$

Then

$x=A^{-1}b=\left[\begin{array}{ccc}30\\20\\45\end{array}\right]$

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3 years ago

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disa [49]

Answer:

Step-by-step explanation:

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3 years ago