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bulgar [2K]
3 years ago
6

Mr. Williams owns a stable in the countryside. He created the expression below to represent the number of horses at the stable t

years after he began boarding horses. Which statement below best describes the coefficient, 30? A. the rate at which the number of horses was changing before Mr. Williams began bording horses B. the rate at which the number of horses boarded changes C. the increase in the number of horses borded each year D. the initial number of horses boarded
Mathematics
1 answer:
777dan777 [17]3 years ago
8 0
A) the rate at which the number of horses was changing before mr williams began bording horses
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Rewrite the system of linear equations as a matrix equation AX = B.
iren2701 [21]

Answer:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

Step-by-step explanation:

Let's find the answer.

Because we have 3 equations and 3 variables (x1, x2, x3) a 3x3 matrix (A) can be constructed by using their respectively coefficients.

Equations:

Eq. 1 : x1 + 2x2 + 5x3 = 5

Eq. 2 : x1 + x2 + x3 = 6

E1. 3 : 4x1 + 6x2 + 5x3 = 7

Coefficients for x1 ; x2 ; x3

From eq. 1 : 1 ; 2 ; 5

From eq. 2 : 1 ; 1 ; 1

From eq. 3 : 4 ; 6 ; 5

So matrix A is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]

And the vector of vriables (X) is:

\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]

Now we can find the resulting vector (B) using the 'resulting values' from each equation:

\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

In conclusion, AX=B is:

\left[\begin{array}{ccc}1&2&5\\1&1&1\\4&6&5\end{array}\right]*\left[\begin{array}{ccc}x1\\x2\\x3\end{array}\right]=\left[\begin{array}{ccc}5\\6\\7\end{array}\right]

7 0
4 years ago
8 - 1/3x = 16 <br> PLEASE ANSWER ITS DUE TOMORROW
Ilya [14]
X = 8/(-1/3) therefore the answer is -24
5 0
3 years ago
I need help with this problem, I’m not really sure how to solve it.. :(
andre [41]
Is there answers on there ?
5 0
2 years ago
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Translate into an algebraic expression and simplify if possible. C It would take Maya x minutes to rake the leaves and Carla y m
lina2011 [118]

Answer:

in one minute they rake \frac{y+x}{xy} leaves working together.

Step-by-step explanation:

If Maya rakes the leaves in x minutes, then, in one minute she rakes \frac{1}{x} leaves.

In the case of Carla, if she rakes the leaves in y minutes, in one minute she rakes \frac{1}{y} leaves.

Therefore, to know the portion of leaves they can rake in one minute working together, we need to sum up both of the portions each one of them rake in one minute, this gives us: \frac{1}{x}+ \frac{1}{y}

Now, to simplify this expression:

\frac{1}{x}+ \frac{1}{y}  =\frac{y+x}{xy}

Thus, in one minute they rake \frac{y+x}{xy} leaves.

8 0
3 years ago
I WILL GIVE YOU 100 PTS
ELEN [110]

»»————- ★ ————-««

★  ★  ★

<em>Hey, love!</em>

<em>This questions seems to require some type of visual or video. It might help if you go check out what your teacher gave you with this and then come back!</em>

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3 0
3 years ago
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