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2 years ago

How many solutions will the following system of linear equations have? –2x + 4y = –7 y= -1/2x + 5 A. 0 B. 1 C. 2 D. infinite

Mathematics

2 answers:

FinnZ [79.3K]2 years ago

7 0

Answer:

B. 1

Step-by-step explanation:

they only cross at one point... look below

dsp732 years ago

6 0

ANSWER

B. 1

EXPLANATION

The given system of equations is;

–2x + 4y = –7

y= -1/2x + 5

We rewrite the first equation is slope intercept form:

4y = 2x–7

$y = \frac{1}{2}x - \frac{7}{4}$

The two equations have different slopes.

This means that they will intersect at one point in the XY plane.

Hence the system has a unique solution.

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A function can be represented by equations and tables

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The domain is [3,23] and the range of the function is [3,4]

<h3>The number of users at 9am</h3>

The function is given as:

$g(x) = \frac14 \sqrt{x - 3} + 3$

At 9am, x = 9.

So, we have:

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<h3>The domain</h3>

Set the radical to 0

$x - 3 = 0$

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The maximum time after midnight is 23 hours.

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<h3>The range</h3>

When x = 3, we have:

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When x = 23, we have:

$g(23) = \frac 14 * \sqrt{23 - 3} + 3 = 4$

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Read more about domain and range at:

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