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2 years ago

Which graph best represents the solution set of 2/3 x + y ≤ − 2?

Mathematics

1 answer:

aliina [53]2 years ago

4 0

Answer:

<u>Option D</u>

Step-by-step explanation:

The given inequality 2/3 x + y ≤ − 2

Need to find x-intercept and y-intercept of the line 2/3 x + y = − 2

x-intercept ⇒ y = 0 ⇒ 2/3 x = − 2 ⇒ x = -3

y-intercept ⇒ x = 0 ⇒ y = -2

Compare the results with the graphs

The answer is option D

===================================

Note:

The shade area represents the solution of an inequality

The shaded area over a solid line if the the sign is ≥

The shaded area below a solid line if the the sign is ≤

The shaded area over a dashed line if the the sign is >

The shaded area below a dashed line if the the sign is <

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Which set of ordered pairs represents y as a function of x?

il63 [147K]

Answer:

Step-by-step explanation:

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2 years ago

An automobile manufacturer is concerned about a possible recall of its best-selling four-door sedan. If there were a recall, the

andrew11 [14]

Answer:

0.27

Step-by-step explanation:

Suppose A is the event of defect in the brake system and B is the event of defect in the fuel system,

We have given,

P(A) = 0.25,

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2 years ago

Which of the following could be the function graphed?

Tpy6a [65]

Answer: The answer is $(d)~f(x)=\dfrac{237x}{421x-515}.$

Step-by-step explanation: We are given four different functions of the variable 'x' and a graph. We are told to select one of the four options that which function can be graphed as the graph given in the question.

To check, we start plotting the functions one by one on a graph paper. We see that the graph of first three functions do not match with the given graph, but the graph of the fourth function given by

$(d)~f(x)=\dfrac{237x}{421x-515}$