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Lubov Fominskaja [6]
3 years ago
15

What is y=-2/3+4 In standard form

Mathematics
1 answer:
Lelechka [254]3 years ago
6 0

Answer:

\large\boxed{2x+3y=4}

Step-by-step explanation:

The standard form of an equation of a line:

Ax+By=C

We have

y=-\dfrac{2}{3}x+4

Convert:

y=-\dfrac{2}{3}x+4\qquad\text{multiply both sides by 3}\\\\3y=-2x+4\qquad\text{add 2x to both sides}\\\\2x+3y=4

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Answer:

53.6

Step-by-step explanation:

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2 years ago
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad
marishachu [46]

Answer:  Line joining ordered pairs (0, 10) and (15, 0) and Shade the portion of the graph below this line which lies within the first quadrant.

Step-by-step explanation:

Here, The club charges $y an hour for each child and $x an hour for each adult.

And, according to the question,

In the family 3 children and 2 adults visited a health club such that  the family does not want to spend more than $30 an hour at the health club.

That is, 2x + 3y\leq 30

Which is the required inequality.

Since at origin, 2\times 0 + 3\times \leq 30 (true)

That is, the inequality must contains the origin.

Therefore, shaded region will occur below the line.

Also, x-intercept of the given line is (15,0)

And, y-intercept of the given line is (0,10)

Thus the line will join the order pairs (15,0) and (0,10)

Also, x\geq 0 and y\geq 0 ( because charges can not be negative)

Therefore the shaded region will only contain the first quadrant.

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4 years ago
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