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almond37 [142]
3 years ago
8

They want you to find b​

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0
Add any negative number that will make it less than three!
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Consider the linear system
RUDIKE [14]

Answer:

(a)

-1-3a = 0\\b+2c +5= 0 \\a =- 1/3 \\

(b)

-1-3a  \neq 0 \\a\neq -1/3

(c)

a = -1/3\\b+c+5 \neq 0

Step-by-step explanation:

The first thing you have to do is write the problem in matrix terms and then reduce the matrix.

The system of equations on matrix notation looks like this.

\begin{pmatrix}2 & 3 & -a &: & 5\\4 & 1  & -2a & : & c \\-6 & 1 & -1 &:& b\end{pmatrix}

When you write the matrix like that you then reduce it using elementary row operations. After you reduce the matrix it looks like this

After you use reduce the matrix using Gaussian elimination (I attach images with the steps) you get the following matrix.

\begin{pmatrix}2 & 3 & -a &: & 5\\0 & 5  & 0 & : & c-10 \\0 & 0 & -1-3a &:& b+2c+5\end{pmatrix}

(a)

Now, if you want a unique solution, you must be able by -1-3a. That last part of  means   \text{Number}*z = \text{Other number }  , so in order to solve that equation,   your "Number"  must be zero and the "Other number" must also be zero, that is something which is always true 0=0 therefore it has infinite solutions. Then

-1-3a = 0\\b+2c +5= 0 \\a =- 1/3 \\

(b)

For this part your "Number" must be different than zero so you can divide by it . Therefore

-1-3a  \neq 0 \\a\neq -1/3

(c) For this part your your "Number" must be zero and the other number must be something different than zero, so you get something which is not true like 0 = 4.  Therefore

a = -1/3\\b+c+5 \neq 0

6 0
3 years ago
Amy is going on a 4 1/4 mile hike She has already hiked 2 3/4 miles. How many more miles does she have left to hike?
babymother [125]

Answer:

2 1/4 left to hike

Step-by-step explanation:

2+2=4         3+1=4

5 0
3 years ago
Identify the slope and y-intercept of the graph of the equation.<br> y = 5/3x -2
frez [133]

Answer:

The slope is 5/3 and the y-int is -2

Step-by-step explanation:

<u>Step 1:  Identify the slope </u>

The slope is the number attached to the x.  Therefore, the slope is 5/3.

<u>Step 2:  Identify the y-int </u>

The y-int is the number that is after the x

y = mx + b

Therefore, the y-int is -2

Answer:  The slope is 5/3 and the y-int is -2

5 0
3 years ago
Any help is appreciated because I have a probe in a couple of hours
Anit [1.1K]
1+1/x^2 when multiplied by x^2 we get: (x^2+1)/x^2.

5 0
3 years ago
I really really need help with this..
shtirl [24]
I feel really bad because this is hard and no one is helping you so try using this website it is called wolfram alpha and if you can't find help on that website just ask your teacher for help. I'm sorry I feel bad for you!
6 0
3 years ago
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