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Pavel [41]
3 years ago
11

What is the graph of the inequality 3x+2y>-5

Mathematics
1 answer:
Doss [256]3 years ago
4 0

Answer:

The graph with solution is shown below.

Step-by-step explanation:

We need to find the x-intercept and y-intercept for given equation.

For  x-intercept , substitute y=0

Considering inequality sign as equality and simplifying,

3x+2y=-5\\3x+0=-5\\x=-\frac{5}{3} , point is (-\frac{5}{3} ,0)

Similarly,

For y-intercept , substitute x=0

We get,

3x+2y=-5\\0+2y=-5\\y=-5/2 , point is (0,-\frac{5}{2})

We locate this two points on the graph now and join them.

The joining line will be dotted as the inequality has just 'greater than' symbol. The region above the dotted line is the solution to graph.

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Fudgin [204]

Answer:

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Step-by-step explanation:

The table of values can be formed as follows;

Day,   Cost

1,         $44

2,        $67

3,        $90

4,        $113

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From the given values and the scatter plot, there is a straight line relationship between the cost and the number of days of rental of a car.

The line of best fit is therefore a straight line and from the constant increase in cost ($23) for each extra day of rental, it is possible to find the slope, m, of the data as follows;

Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}

(x₁, y,) and (x₂, y₂) can be taken as (1, $44) and (3, $90) respectively to give;

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