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3 years ago

Which ordered triple is a solution of the following linear system?: 3n = -18 3m - 2n + 4p = 12 2m - 4n = 16

1 answer:

7 0

$\displaystyle \begin{cases}3n=-18\\ 3m-2n+4p=12\\2m-4n=16 \end{cases}\Rightarrow \begin{cases}n=-6\\ 3m+12+4p=12\\2m+24=16 \end{cases} \Rightarrow \\\\\Rightarrow \begin{cases}n=-6\\ -12+12+4p=12\\m=-4 \end{cases} \Rightarrow \begin{cases}n=-6\\ p=3\\m=-4 \end{cases}$

So, solution of the linear system is the following ordered triple $(-4,-6,3)$

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5=1/3(2x+12)<br><br> Solve for X in simplest form

garik1379 [7]

9514 1404 393

Answer:

x = 3/2

Step-by-step explanation:

Multiply by 3 and solve the resulting 2-step equation.

5 = (1/3)(2x +12)

15 = 2x +12 . . . . . . multiply by 3

3 = 2x . . . . . . . . . . subtract 12

3/2 = x . . . . . . . . . . divide by 2

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3 years ago

If a line with a slope of -2 crosses the y-axis at (0, 3), what is the equation of the line?

Karo-lina-s [1.5K]

Answer: Option D

$y +2x = 3$

Step-by-step explanation:

The equation of a line in the form of "slope-interception" has the following form:

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Where m is the slope of the line and b is the interception of the line with the y axis.

In this case we know that the line has a slope of -2. Then $m = -2$ .

We also know that the line intercepts the axis y at the point (0, 3) therefore we know that:

$b = 3$ .

Finally the equation of the line will be:

$y = -2x + 3$

If we add 2x on both sides of the equation we get:

$y +2x = 3$

The answer is the option D

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3 years ago

An ice cream company produces approximately 6 x 10 fits half gallons of strawberry ice cream month at the same time they produce

balu736 [363]

They make about 30 more gallons of ice cream

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3 years ago

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Answer:(

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Explanation:

We can find the coordinates of the midpoint of a line segment, by finding the mean of the sum of the

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Item 3 Drivers between the ages of 18 and 64 in different countries were asked if they had driven while talking on their cell ph

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Answer:

The answer is "50%".

Step-by-step explanation:

Please find the complete question in the attached file.

In the given question when we deduct the 'yes' from the 'yes' on the L graph also on the given R graph, it might be presumed that about $\frac{1}{2}$ of its circle on the L still exists, which is equal to $\frac{1}{2}$ or 50%.

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3 years ago