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pogonyaev
3 years ago
7

Solve the equation -7 (8a - 9 = - 23 + 4a

Mathematics
1 answer:
Vikentia [17]3 years ago
3 0

Answer:

a = 43 / 30

Step-by-step explanation:

-7 ( 8a -9 ) = -23 + 4a

-56a + 63 = -23 +4a

-60a + 63 = -23

-60a = -86

a = 43 / 30

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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]

This means that 30 mp3's of model A, 20 of model B and 45 of model C must be produced

8 0
3 years ago
Help! :') ..........................................​
Elden [556K]

Answer:

y=7x-5

Step-by-step explanation:

8 0
3 years ago
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kirza4 [7]

Answer:

d =  \sqrt{ {x}^{2}  +  {y}^{2} }

Step-by-step explanation:

Distance between origin (0, 0) and point (x, y) is given as:

d =  \sqrt{ {(x - 0)}^{2}  +  {(y - 0)}^{2} }  \\  \\ \red{ \bold{ d =  \sqrt{ {x}^{2}  +  {y}^{2} } }}

5 0
2 years ago
Solve the inequality and graph the solution |7x-7|+2<23
Naya [18.7K]

|7x-7|+2 < 23\ \ \ \ \ |-2\\\\|7x-7| < 21\iff7x-7 < 21\ \wedge\ 7x+7 > -21\ \ \ \ \ \ |+7\\\\7x < 28\ \wedge\ 7x > -14\ \ \ \ \ \ \ |:7\\\\x < 4\ \wedge\ x > -2\\\\-2 < x < 4

3 0
3 years ago
Can anyone help me out on this question
statuscvo [17]

12/4(-1)+2=

12/-4+2 =

12/-2 =

-6

8 0
2 years ago
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