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2 years ago

HELPP ASAP

Mathematics

1 answer:

elena55 [62]2 years ago

7 0

Answer:

(4, -5)

(3, -2)

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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

Find the area of the rectangle

Hunter-Best [27]

Answer:

<h2>Option A = 1*3 = 3 unit² </h2>

$area \: of \: rectangle \: = length \: \times breath$

$length \: = distance \: between \: f \: and \: g \: or \: between \: e \: and \: h \:$

<h3>Distance between f and G = distance between E and H </h3>

F = (3,7)

G = (6,4)

H = (5,3)

E= (2,6)

= (3 units)

<h3>Distance between FE = GH </h3>

= 1 units

Area = 3* 1

= 3 units²

5 0

2 years ago

Can the sides of a triangle be in a ratio of: a 3:4:5

victus00 [196]

Yes. In fact $3:4:5$ is a Pythagorean triple or simply right triangle where all sides are in $\mathbb{Z}$ .

Hope this helps.

5 0

3 years ago

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Consider the graphs below. What are the explanatory variables?

Vinil7 [7]

Answer:

Step-by-step explanation:

i think?

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3 years ago

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The coordinate below represents a town. Curtis’s house is at (-4, -6) and Jean’s house is at (-4, 3).Plot the points where Curti

Fiesta28 [93]

It would take Curtis 45 minutes to ride his bike to Jean's house.

7 0

3 years ago