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weeeeeb [17]
2 years ago
13

A shipping company charges based on calculations of the volume of a rectangular box and the sum of the dimensions

Mathematics
1 answer:
Paraphin [41]2 years ago
7 0

Answer:

The sum function is Linear but the volume function is not

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Is y = -x a proportional relationship
Karo-lina-s [1.5K]

Answer:

For any proportional relationship, k=yx (such as a line that passes through the origin). Find the equation of the line by solving for y in the constant of proportionality equation. This equation y=kx is another representation of a proportional relationship.

Step-by-step explanation:

5 0
3 years ago
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ankoles [38]
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7 0
3 years ago
A table of values of a linear function is shown below.
ikadub [295]

Given:

A table of values of a linear function.

To find:

The slope, y-intercept and equation of the function.

Solution:

Take any two points on the table.

Let the points are (-1, -3) and (0, -6).

Slope of the line:

$m=\frac{y_2-y_1}{x_2-x_1}

$m=\frac{-6-(-3)}{0-(-1)}

$m=\frac{-6+3}{0+1}

$m=\frac{-3}{1}

m = -3

Slope of the function = -3

y-intercept of the function is the point where x = 0.

In the table y = -6 when x = 0

y-intercept = -6

Equation of a line:

y = mx + c

where m is the slope and c is the y-intercept

y = -3x + (-6)

y = -3x - 6

Equation of a function is y = -3x - 6.

3 0
3 years ago
A dilation with a scale factor of 2 is applied to the three line segments shown. The resulting images are P′Q′¯¯¯¯¯¯¯, A′B′¯¯¯¯¯
ivanzaharov [21]

Answer:

Step-by-step explanation:

Formula to determine the scale factor,

Scale factor = \frac{\text{Dimension of the image}}{\text{Dimension of the original}}

2 = \frac{P'Q'}{PQ}

2 = \frac{P'Q'}{2}

P'Q' = 4 cm

Similarly, for the length of A'B',

2 = \frac{A'B'}{AB}

2 = \frac{A'B'}{1.5}

A'B' = 3 cm

For the length of M'N',

2 = \frac{M'N'}{MN}

2 = \frac{M'N'}{3}

M'N' = 6 cm

4 0
3 years ago
he numbers of regular season wins for 10 football teams in a given season are given below. Determine the​ range, mean,​ variance
Naddik [55]

Answer:

Range = 13

Mean = 8.4

Variance= 21.24

Standard deviation= 4.61

Step-by-step explanation:

2​, 10​, 15​, 3​, 13​, 9​, 14​, 7​, 2​, 9

For the range

Let the set of data be arranged inn ascending order

Range= higehest value- lowest value

Range = 15-2

Range= 13

For the mean

Mean = (2+2+3+7+9+9+10+13+14+15)/10

Mean = 84/10

Mean = 8.4

For variance

Variance=((2-8.4)²+(2-8.4)²+(3-8.4)²+(7-8.4)²+(9-8.4)²+(9-8.4)²+(10-8.4)²+(13-8.4)²+(14-8.4)²+(15-8.4)²)/10

Variance= (40.96+40.96+29.16+1.96+0.36+0.36+2.56+21.16+31.36+43.56)/10

Variance= 212.4/10

Variance= 21.24

Standard deviation= √variance

Standard deviation= √21.24

Standard deviation= 4.609

Approximately = 4.61

6 0
3 years ago
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