For any real number b,b + (-b)

Mathematics

1 answer:

Verizon [17]3 years ago

4 0

Answer:

The answer is 0.

Step-by-step explanation:

Now, here we have to find the value of the expression:

b + (-b)

So here when we open up the brackets, we will get:

b + (-b)= b -b

So we can see that the term b is subtracted from itself and hence we get:

b -b=0

So the final value of the given expression:

b + (-b)= 0

and this is true for any real number b.

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For which values of the parameter B the following system admits a unique solution [ 1 b 1-b 2 2 0 2–2B 4 0] [x y z] = [1 2 0]

photoshop1234 [79]

Answer: β ≠ ±1

Step-by-step explanation: For a system of equations to have an unique solution, its determinant must be different from 0: det |A| ≠ 0. So,

det $\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]$ ≠ 0

Determinant of a 3x3 matrix is calculated by:

det $\left[\begin{array}{ccc}1&\beta&1-\beta\\2&2&0\\2-2\beta&4&0\end{array}\right]\left[\begin{array}{ccc}1&\beta\\2&2\\2-2\beta&4\end{array}\right]$

$8(1-\beta)-[2(2-2\beta)(1-\beta)]$

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β ≠ ±1

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7 0

3 years ago

Use the given information to find the unknown value:y varies inversely with a. When x = 4, then y= 4. Find y when I = 2.Iyy =hel

Mashutka [201]

Inverse variation:

$y=\frac{k}{x}$

k is a constant

Use the given information (when x=4 y=4) to find the value of the constant:

$\begin{gathered} 4=\frac{k}{4} \\ \\ \text{Multiply both sides of the equation by 4:} \\ 4\times4=4\times\frac{k}{4} \\ \\ 16=k \\ \\ \\ k=16 \end{gathered}$

Then, the given relationship has the next equation: