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Hatshy [7]
3 years ago
5

Solve the system of equations using matrices. x+7y=02x−8y=22 Question 7 (Mandatory) (1 point) Step 1. Find the coefficient matri

x. A=[blank 1blank 3blank 2blank 4]
Mathematics
1 answer:
Alex Ar [27]3 years ago
4 0

Answer:

x=7

y =-1

Step-by-step explanation:

Given is a system of equations in x and y as

x+7y=0\\2x-8y =22

This can be written in matrix form as

Ax = B

\left[\begin{array}{ccc}1&7\\2&-8\end{array}\right]\left[\begin{array}{ccc}x\\y\end{array}\right]  =\left[\begin{array}{ccc}0\\22\end{array}\right]

Let us find inverse of A

|A| = -8-14 =-22

A^{-1} =\frac{-1}{22} *\left[\begin{array}{ccc}-8&-7\\-2&1\end{array}\right]

X= A ^(-1) B

x=7, y =-1

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The length of a phone conversation is normally distributed with a mean of 4 minutes and a standard deviation of .6 minutes. What
Ivanshal [37]

Answer:

0.04746

Step-by-step explanation:

To answer this one needs to find the area under the standard normal curve to the left of 5 minutes when the mean is 4 minutes and the std. dev. is 0.6 minutes.  Either use a table of z-scores or a calculator with probability distribution functions.

In this case I will use my old Texas Instruments TI-83 calculator.  I select the normalcdf( function and type in the following arguments:  :

normalcdf(-100, 5, 4, 0.6).  The result is 0.952.  This is the area under the curve to the left of x = 5.  But we are interested in finding the probability that a conversation lasts longer than 5 minutes.  To find this, subtract 0.952 from 1.000:   0.048.  This is the area under the curve to the RIGHT of x = 5.

This 0.048 is closest to the first answer choice:  0.04746.

8 0
2 years ago
Identify the oblique asymptote of f(x) = quantity x plus 4 over quantity 3 x squared plus 5 x minus 2.
faltersainse [42]
f(x) = \frac{x + 4}{3x^{2} + 5x - 2}

                     3x² + 5x - 2 = 0
                3x² + 6x - x - 2 = 0
3x(x) + 3x(2) - 1(x) - 1(2) = 0
          3x(x + 2) - 1(x + 2) = 0
                  (3x - 1)(x + 2) = 0
3x - 1 = 0       or       x + 2 = 0
    + 1 + 1                     - 2  - 2 
     3x = 1          or          x = -2
      3     3                       1     1
       x = ¹/₃         or         x = -2

      f(x) = 3x² + 5x - 2
     f(¹/₃) = 3(¹/₃)² + 5(¹/₃) - 2
     f(¹/₃) = 3(¹/₉) + 1²/₃ - 2
     f(¹/₃) = ¹/₃ - ¹/₃
     f(¹/₃) = 0
(x, f(x)) = (¹/₃, 0)

      f(x) = 3x² + 5x - 2
     f(-2) = 3(-2)² + 5(-2) - 2
     f(-2) = 3(4) - 10 - 2
     f(-2) = 12 - 12
     f(-2) = 0
(x, f(x)) = (-2, 0)

    Vertical Asymptotes: ¹/₃ or -2
Horizontal Asymptotes: 0
      Oblique Asymptote: No Asymptotes
3 0
3 years ago
Read 2 more answers
Somebody help me with with please!!
ra1l [238]
I think it’s y= -2/2x +2? Something like that I may be wrong lolz
7 0
2 years ago
Which equation has the solution x = 3?
miss Akunina [59]

Answer:

9-3x=0

Step-by-step explanation:

Add 3x to both sides

9=3x

divide both sides by 3

3=x

x=3

3 0
2 years ago
Read 2 more answers
Please help me with this
Ivan
800/560
10/7

Your answer is 1 3/7 pounds per dollar

hope it helps
6 0
2 years ago
Read 2 more answers
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