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Reil [10]
3 years ago
9

The expression x−y equals 0.7 if x and y have certain values. Evaluate the following expressions with the same values of x and y

. What is y−x?
Mathematics
1 answer:
lisov135 [29]3 years ago
3 0

Answer:

-0.7

Step-by-step explanation:

x-y=0.7

You can choose any digits you wish for x and y but the difference must be 0.7. I chose 1.0 and 0.3.

x=1\\y=0.3\\x-y=0.7\\\\y-x=\\0.3-1=\\-0.7

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If log a = x and log b = y, then log (ab2) equals
mylen [45]

Answer:

The answer for log(ab²) is x + 2y.

Step-by-step explanation:

You have to apply Logarithm Law,

log(a)  +   log(b) \:  ⇒ \:  log(a \times b)

log( {a}^{n} )  \: ⇒ \: n log(a)

In this question, you have to seperate it out :

log(a {b}^{2} )  =  log(a)  +  log( {b}^{2} )

log( {b}^{2} )  = 2 log(b)

let \:  log(a)  = x

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log(a {b}^{2} )  =  log(a)  + 2 log(b)

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3 years ago
Two trains are 500 miles apart when they first enter a collision course. If, after two hours, the distance between them is 300 m
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60 miles per hour. In two miles the sum of the distance the two trains traveled was 200 miles, you divide that by 2, the sum of the speed of the two trains is 100 miles per hour, now put the speed of the slow train as  x and the fast as x +20, the sum of x and x +20 is 100, so 2x + 20 =100, you subtract 20 from both sides, 2x = 80, divide by 2, x = 40, the problem asks for the speed of the fast train, so, x + 20 is 60.
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Write the given linear system in matrix form. Assume X = x y z . dx dt = −8x + 7y − 9z dy dt = 5x − y dz dt = 10x + 7y + 8z
Akimi4 [234]

Answer:

The matrix form of given linear system is

\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}

Step-by-step explanation:

Let as assume that

X=\begin{bmatrix}x\\ y\\ z\end{bmatrix}

Given differential equations are

\frac{dx}{dt}=-8x+7y-9z

\frac{dy}{dt}=5x-y

\frac{dz}{dt}=10x+7y+8z

We need to find the matrix form of given linear system.

Write the elements of left side in a column matrix.

Write all the coefficients in one matrix first which is called a coefficient matrix.  Multiply coefficient matrix with the variables matrix and equate left and right side.

\begin{bmatrix}\frac{dx}{dt}\\ \frac{dy}{dt}\\ \frac{dz}{dt}\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}

It can be written as

\begin{bmatrix}x'\\ y'\\ z'\end{bmatrix}=\begin{bmatrix}-8 & 7 &-9\\ 5 & -1 & 0\\ 10 & 7 & 8\end{bmatrix}\begin{bmatrix}x\\ y\\ z\end{bmatrix}

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Answer:

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