All categories

3 years ago

Which shows the graph of the solution set of 2x+3y≤6?

Mathematics

2 answers:

mel-nik [20]3 years ago

6 0

Answer:

Option (a) is correct.

Step-by-step explanation:

Given : equation 2x + 3y ≤ 6

We have to choose out of given option the graph that shows the graph of the solution set of 2x + 3y ≤ 6

Consider the given equation 2x + 3y ≤ 6

We first find the points where the equation cut x- axis and y-axis.

Thus,

For x - axis put y = 0 ,

We get 2x + 3(0) ≤ 6 ⇒ 2x ≤ 6 ⇒ x ≤ 3

Thus, point (3,0)

For y - axis put x = 0 ,

We get 2(0) + 3y ≤ 6 ⇒ 3y ≤ 6 ⇒ y ≤ 2

Thus, point (0,2)

For region we choose a test point and find the value of x and y on that test point and check whether it satisfy the inequality satisfies or not.

Consider the point (0, 0) , then inequality becomes,

2(0) + 3(0) ≤ 6 ⇒ 0 ≤ 6 (true)

Hence, region below the line will be considered.

Thus, Option (a) is correct.

storchak [24]3 years ago

3 0

we have

$2x+3y \leq 6$

Using a graphing tool

see the attached figure

The solution is the shaded area below the solid line

The answer in the attached figure

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Step-by-step explanation:

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We can rewrite this as:

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$y^{2}-2(4)y+b^{2}$

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Then, equation (5) is rewritten as follows:

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Hence:

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