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sweet-ann [11.9K]
2 years ago
5

?Eric conducted an experiment in his science class and recorded the data in a table.

Mathematics
1 answer:
Vitek1552 [10]2 years ago
4 0

The constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

<h3>What is the linear system?</h3>

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Eric conducted an experiment in his science class and recorded the data in a table.

Eric’s science experiment, time (seconds), 3, 6, 9, 12, 15, 18, distance (ft), 18, 36, 54, 72, 90, 108.

Let x be the time and y be the distance.

Let the distance and time be linear to each other. Then the linear equation is given as

y -  36 = [(36 - 18) / (6 - 3)] (x - 6)

y - 36 = 6 (x - 6)

       y = 36 + 6x - 36

       y = 6x

Then the constant of proportionality that relates the distance traveled to the elapsed time represented by this data will be 6.

More about the linear system link is given below.

brainly.com/question/20379472

#SPJ1

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sleet_krkn [62]

Answer:

2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

In other words:

x\left(2x+3\right)=2x^2+3x

Step-by-step explanation:

Given the expression

x\left(2x+3\right)

solving

x\left(2x+3\right)

\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac

a=x,\:b=2x,\:c=3

=x\cdot \:2x+x\cdot \:3

=2xx+3x

=2x^2+3x            ∴  2xx=2x^2

Thus,

x\left(2x+3\right)=2x^2+3x

Therefore, 2x^2+3x is the expression which is equivalent to  x\left(2x+3\right).

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14.2          because if u divide your numbers you get this                                                                                                                                                                      



6 0
3 years ago
Read 2 more answers
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Gala2k [10]
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=  n² + 6n - 10 ...combine like terms

hope it helps
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Find the vertex of y=-x^2-4x
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3 0
3 years ago
(03.01 MC)
vekshin1

Answer:

Option (1) will be the answer.

Step-by-step explanation:

Coordinates of the points A and B lying on the line f are (0, 2) and (2, 0) respectively.

Slope of the line f,

m_{1}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}

m_{1}=\frac{2-0}{0-2}

m_{1}=-1

After dilation of line f by a scale factor of 2, coordinates of A' and B' will be,

Rule for dilation,

(x, y) → (kx, ky)

Where k = scale factor

A(0, 2) → A'(0, 4)

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Since, m_{1}=m_{2}=-1

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Option (1) will be the answer.

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