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2 years ago

Select all of the ordered pairs (x,y) that are solutions to the linear equation 2x+3y=6.

Mathematics

1 answer:

Vitek1552 [10]2 years ago

4 0

Answer:

A) $(x,2-\frac{2}{3}x)$

B) $( 3-\frac{3}{2}y .y)$

Step-by-step explanation:

As can be seen in the graph, the set of solution numbers is the real numbers R for both x and y, but since it is requested that they be ordered pairs, we find the conditions for which it must be met

Also: we can work according to x

$2x+3y=6\\3y=6-2x\\y=2-\frac{2}{3}x$

ordered pair

$(x,2-\frac{2}{3}x)$

according to y

$2x+3y=6\\2x=6-3y\\x=3-\frac{3}{2}y$

oedered pair

$( 3-\frac{3}{2}y .y)$

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Answer:

120

Step-by-step explanation:

The subcommittee needs to contain 1 out of 3 freshmen, 1 out of 4 sophomores, 1 out of 5 juniors and 1 out of 2 seniors. Assuming order is not important, the number of possibilities to pick the subcommittee members is given by:

$N=5*4*3*2=120$

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3 years ago

Which graph represents y = –2x?

Andrei [34K]

Solution:

In this case, we are given:

Equation: y = -2x
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Looking at Option A, we can tell that its slope is -2 and y-intercept is 0.

Since this is matching with the info we are given, Option A is correct.

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2 years ago

The radius of a sphere is increasing at a rate of 2 mm/s. How fast is the volume increasing (in mm3/s) when the diameter is 40 m

daser333 [38]

Answer:

$\dfrac{dV}{dt}=502.65\ mm^3/s$

Step-by-step explanation:

The volume of a sphere is given by :

$V=\dfrac{4}{3}\pi r^3$

The rate of change of volume means,

$\dfrac{dV}{dt}=\dfrac{d}{dt}(\dfrac{4}{3}\pi r^3)\\\\\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3r\times \dfrac{dr}{dt}$

We have, $\dfrac{dr}{dt}=2\ mm/s\ and\ r=40\ mm$

So,

$\dfrac{dV}{dt}=\dfrac{4}{3}\pi \times 3\times 20\times 2\\\\=502.65\ mm^3/s$

So, the volume is increasing at the rate of $502.65\ mm^3/s$ .

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3 years ago

Solve for x 3(x - 2) = 6x - 12

nalin [4]

Answer:

The answer is 2

Step-by-step explanation:

Here's how I got it:

3(x - 2) = 6x - 12

Multiply 3 times x and 3 times 2, this is what you would get

3x - 6 = 6x - 12

Then, subtract the lowest x with the bigger X, this way you would have x on one side:

3x - 6 = 6x - 12

-3x -3x

This is what you should have after this:

-6 = 3x - 12

Now, to get the variable (letter that represents a number) by itself, you have to add 12 to both sides like this:

-6 = 3x - 12

+12 +12

You would get this:

6 = 3x

Finally, you have to get x by itself, so you have to divide 3 on both sides like this

6/3 = 3/3 x

That's why, your answer is 2

5 0

2 years ago

EXTRA POINTS- find the value of x and the measure of each angle

Ierofanga [76]

Answer:

x=15

angles

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angles

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Step-by-step explanation:

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2 years ago