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makvit [3.9K]
3 years ago
10

Write an expression that is equivalent to 3 (2x + 6y)

Mathematics
2 answers:
irina1246 [14]3 years ago
5 0

Answer:

6x + 18y or 6 (x + 3y)

Step-by-step explanation:

Distribute the 3 or divide the parentheses by 2

pentagon [3]3 years ago
3 0

Answer:

6x+18y

Step-by-step explanation:

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The graph below shows the solution to which system of inequalities?
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Answer:

Option D.

Step-by-step explanation:

Consider option D. y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

Take point (0,0)

On putting this point in inequation y\leq \frac{3x}{4}+10 , we get

0\leq 10 which is true . So, solution is region towards the origin i,e region below the line y= \frac{3x}{4}+10 including the line itself .

On putting (0,0) in inequation y\leq \frac{-x}{2}-3 , we get 0\leq -3 which is false , so solution is region away from the origin i.e region below line y= \frac{-x}{2}-3 including the line itself .

So, common solution to both the inequations is the shaded part in the given figure .

In other words, we can say that the graph shown in the given figure represents system of equations: y\leq \frac{3x}{4}+10\,,\,y\leq \frac{-x}{2}-3

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