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Sliva [168]
3 years ago
14

Which ordered pair is a solution of the equation? y=-3x-4

Mathematics
2 answers:
Svetllana [295]3 years ago
4 0

Answer:

(1, - 7 )

Step-by-step explanation:

To find a solution, choose any value for x, substitute into the equation and solve for y

Choose x = 1, then

y = - 3(1) - 4 = - 3 - 4 = - 7

Thus (1, - 7 ) is a solution to the equation

mario62 [17]3 years ago
3 0

Answer:

(X , Y ) = ( -2 , 2)

Step-by-step explanation:

y = -3x - 4

using value ( x , y ) : ( -2 , 2 )

=> (2 ) = -3 (-2) -4

= > 2 = 6 -4

=> 2 = 2 hence proved

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Answer:

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

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Step-by-step explanation:

The general form of a linear regression is:

y=a+bx

Here,

<em>y</em> = dependent variable

<em>x</em> = independent variable

<em>a</em> = intercept

<em>b</em> = slope

Compute the values of <em>a</em> and <em>b</em> as follows:

\begin{aligned}        a &= \frac{\sum{Y} \cdot \sum{X^2} - \sum{X} \cdot \sum{XY} }{n \cdot \sum{X^2} - \left(\sum{X}\right)^2} =             \frac{ 6857 \cdot 55 - 15 \cdot 17558}{ 6 \cdot 55 - 15^2} \approx 1083.476 \\ \\b &= \frac{ n \cdot \sum{XY} - \sum{X} \cdot \sum{Y}}{n \cdot \sum{X^2} - \left(\sum{X}\right)^2}        = \frac{ 6 \cdot 17558 - 15 \cdot 6857 }{ 6 \cdot 55 - \left( 15 \right)^2} \approx 23.743\end{aligned}

The linear regression equation that represents  the set of data is:

y=1083.48+23.73x

Compute the predicted value of the number of new cases for 2013 (i.e. <em>x</em> = 12) as follows:

y=1083.48+23.73x

  =1083.48+(23.73\times12)\\\\=1083.48+284.76\\\\=1368.24\\\\\approx 1368

Thus, the predicted number of new cases for 2013 is 1368.

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