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Ganezh [65]
2 years ago
10

Solve the system using a matrix. (8x + 5y = 38 (3x + 2y = 14 ([ ? ],[_])

Mathematics
1 answer:
kogti [31]2 years ago
6 0

Answer:

  (x, y) = (6, -2)

Step-by-step explanation:

A suitable calculator or spreadsheet can do the row-reduction or matrix inversion required to solve this system.

  (x, y) = (6, -2)

_____

For matrices ...

  A=\left[\begin{array}{cc}8&5\\3&2\end{array}\right],\ B=\left[\begin{array}{c}38\\14\end{array}\right] ,\ X=\left[\begin{array}{c}x\\y\end{array}\right]

The solution can be found as ...

  AX=B\ \longrightarrow\ X=A^{-1}B

or by row-reducing the augmented matrix ...

  [A|B]\ \longrightarrow\ [I|X]

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Answer:

4, -2

Step-by-step explanation:

1+1=2

2-2=0

0+3=3

so on

+1,-2,+3,-4,+5,-6...

7 0
3 years ago
Eighth grade Y.14 Solve equations with the distributive property SRP Solve for u. -9.6u - 6.96 = -3(2.4u – 4.72) – = U = Submit​
Vladimir79 [104]

Answer:

2.93 repeating

Step-by-step explanation:

4 0
2 years ago
Please I need help <br> No fake answers
Dominik [7]

y=13x+5 ===(0,5) , (-2, -21)

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3 years ago
The change in water level of a lake is modeled by a polynomial function, W(x). Describe how to find the x-intercepts of W(x) and
Agata [3.3K]
<span>First. <u>Finding the x-intercepts of </u>W(x)
</span><span>
Let W(x) be the change in water level. So to find the x-intercepts of this function we can use The Rational Zero Test that states:

To find the zeros of the polynomial:

f(x)=a_{n}x^{n}+a_{n-1}x^{n-1}+...+a_{2}x^{2}+a_{1}x+a_{0}

We use the Trial-and-Error Method which states that a factor of the constant term:

a_{0}

can be a zero of a polynomial (the x-intercepts).

So let's use an example: Suppose you have the following polynomial:

W(x)=x^{4}-x^{3}-7x^{2}+x+6

where the constant term is a_{0}=6. The possible zeros are the factors of this term, that is:

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Thus:

</span>W(1)=0 \\ W(-1)=0 \\ W(2)=-12 \\ W(-2)=0 \\ W(3)=0 \\ W(-3)=48 \\ W(6)=840 \\ W(-6)=1260<span>

From the foregoing, we can affirm that 1, -1, -2 \ and \ 3 are zeros of the polynomial.

</span>Second. <u>Construction a rough graph of</u> W(x)

Given that this is a polynomial, then the function is continuous. To graph it we set the roots on the coordinate system. We take the interval:

[-2,-1]

and compute W(c) where c is a real number between -2 and -1. If W(c)>0, the curve start rising, if not, the curve start falling. For instance:

If \ c=-\frac{3}{2} \\ \\ then \ w(-\frac{3}{2})=-2.81

Therefore the curve start falling and it goes up and down until x=3 and from this point it rises without a bound as shown in the figure below


7 0
3 years ago
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Order these numbers from least to greatest. 80 , −9.75 , −9.7 , −24825
Diano4ka-milaya [45]
Least is on top, Greatest is on bottom
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