Which graph represents the solution to the system of inequalities?

Mathematics

2 answers:

sattari [20]3 years ago

6 0

Here is an image of that

diamong [38]3 years ago

3 0

Solution:

we are given with the system of equation:

x + y ≥ 4

2x + 3y < 12

we have been asked to find the graph representing the solution of the given system of equation.

To find the the solution of the given system of inequalities, we can draw the graph using a graphing calculator and thereafter , the point of intersection will give the solution of the given system of equation.

As we can see, the graph is intersecting at only one point at (0,4).

The given system of inequalities will have infinite number of solutions and it will fall in the region shaded with green.

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Explain what the equation 110d = 100d + 40 represents<br>in the context of the example problem.

Tanya [424]

<em>This means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

<h2 /><h2>Explanation:</h2>

See the complete question in the attached file. In this exercise, we know that Oceanview charges $100 per day plus a one-time fee of $40. This can be represented by the following equation:

Total cost for Oceanview:

$c=100d+40$

Total cost for Beachside:

$c=110d$

Where:

$c:Represents \ the \ cost \\ \\ d:Represents \ the \ number \ of \ day$

So we have to explain what the equation:

$110d=100d+40$

represents in the context of the problem. We have used substitution in order to get that equation, so <em>this means that at some specific number of days the cost for Oceanview and Beachside will be the same.</em>

This value was calculated and we get that<em> the cost at the hotels will be the same after 4 days and it will be $440.</em>

<h2>Learn more:</h2>

Linear equations: brainly.com/question/12412678

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