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saw5 [17]
3 years ago
15

Where on the graph of 2x - 6y = 7 is the x-coordinate twice the y-coordinate?

Mathematics
1 answer:
Nikolay [14]3 years ago
5 0

Answer:

The required point is P(-7,\frac{-7}{2}) where, x-coordinate twice the y-coordinate on line 2x - 6y = 7

Step-by-step explanation:

Given equation of line is 2x-6y=7

To find point on graph whose x-coordinate twice the y-coordinate:

Let y be y-coordinate of point

Hence, x-coordinate of point will be 2y

The required point is P(2y,y) on equation of line 2x-6y=7

Now,

2x-6y=7

2(2y)-6y=7

-2y=7

y=\frac{-7}{2}

Thus,

The required point is P(-7,\frac{-7}{2})

Note: Figure show equation of line red line and point P as blue dot.

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Tomas bought 80 tickets for rides at an amusement park. Each ride costs 5 tickets, and Tomas has been on x rides so far. Which e
Alex Ar [27]

Answer:

Option A, C and D are correct choices.

Step-by-step explanation:

Let x be the number of rides that Tomas has been on so far. Each ride costs 5 tickets. This means that cost of x rides will be 5x.

We are told that Tomas bought 80 tickets for rides at an amusement park.

To find the number of of tickets that Tomas has left we will subtract cost of x rides from total number of tickets that Thomas bought.

We can represent this information in an expression as: 80-5x

Now let us see which of our given choices in equivalent to our expression.

A. 80-5x

Upon looking at option A we can see that it is same as our expression, therefore, option A is the correct choice.

B. 80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option B is not a correct choice.

C. 5(16-x)

Upon distributing 5 we will get,

80-5x

Now this expression is same same as our expression, therefore, option C is the correct choice.

D. -5x+80

This expression is also same as our expression as we can rearrange the terms in this expression as: 80-5x, therefore, option D is a correct choice as well.

E. 5(16+x)

Upon distributing 5 we will get,

80+5x

We can see that in this expression cost of x rides in being added instead of subtraction, therefore, option E is not a correct choice.

6 0
3 years ago
The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional emp
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Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.
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How am I supposed to integrate this?
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6x^2-4x+1=6\left(x-\dfrac13\right)^2+\dfrac13\ge0

which means the parabola lies above the x-axis over its entire domain. This means the area is given by

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Answer:

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Step-by-step explanation:

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Answer:

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