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3 years ago

How many solutions does this system of equations have? Explain how you know

Mathematics

1 answer:

bixtya [17]3 years ago

8 0

Answer:

Step-by-step explanation:

y+2/3 x=4

multiply by 3

3y+2x=12

or 2x=12-3y

so both represent the same equation of a line .

there are infinite points on the line.

infinite solutions.

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Solve for n: 0.22n = 6.6. <br><br><br>

vagabundo [1.1K]

Answer:

Step-by-step explanation:

Solve for n: 0.22n = 6.6.

6.6/0.22 (because for example 3/3 and n/n= 1 so 0.22/0.22 = 1 so we have to divide 6.6 since it is part of the equation and we have to do it on both sides.)
=30

3 0

3 years ago

PLEASE ANSWER QUICKLY<br> What is the of this function?

Triss [41]

Answer:

Step-by-step explanation:

It is a Tangential function, so the correct answer is B.

5 0

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

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

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

8 0

4 years ago

19 4/12 + 17 2/11 - 16 6/9 =

SOVA2 [1]

Answer:

19 28/33

Step-by-step explanation:

lets work out the whole number parts first:

= 19 + 17 - 16 = 20.

4/12 + 2/11 - 6/9

= 1/3 + 2/11 - 6/9

Find the LCM of the denominators:

3 = 3

11 = 11

9 = 3*3

- so the LCM is 3*3*11 = 99.

So we have:

33/99 + 18/99 - 66/99

= 51/99 - 66/99

= -15/99

= -5/33

So the answer is 20 - 5/33

= 19 28/33

You just had to subtract 5/33 from 20.

6 0

4 years ago

Please help!

tensa zangetsu [6.8K]

If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)

5 0

3 years ago