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3 years ago

Using the graph, determine tUsing the graph, determine the coordinates of the vertex of the parabola.

Mathematics

1 answer:

abruzzese [7]3 years ago

6 0

Answer:

sory

Step-by-step explanation:

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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

a model doll house is 3.25 feet long. the real house is 30 yards long. what is the unit rate that describes the relationship of

DENIUS [597]

Answer:

27.7

Step-by-step explanation:

1 yard = 3 feet

30 yards x 3 feet = 90 feet

90/3.25 = 27.7

3 0

3 years ago

A polynomial function with leading term 8x ^9 has a degree of what?<br>

agasfer [191]

Answer:

Step-by-step explanation:

hi! if the leading term is 8x^9, this means that this is the term with the highest power. therefore, its degree is 9.

7 0

3 years ago

Figure ABCD is rotated by 180 degrees about the origin in the counterclockwise direction to obtain figure A′B′C′D′:

deff fn [24]

Answer:

Length of AB=Length of A'B' because they are corresponding sides.

you should definetely mark me brainliest ;)

4 0

3 years ago

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ANSWER THIS QUESTION FOR 10 POINTS AND BRAINLEST

Gnom [1K]

Answer:ABC

Step-by-step explanation:

8 0

3 years ago

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