Mathematics: What major contribution to both government in England and in the colonies was made by the Roman style of government? the idea of one man, one vote the concept of the rule of law the government’s duty to protect private property the use of elected officials with term limits

What major contribution to both government in England

odalysgise

25.07.2021

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b;

where y, x are variables, m is the rate of change and b is the y intercept.

a) d is on the x axis and T is on the y axis, the rate of change is gotten using the points (0, 75) and (300, 37.5). Hence the rate of change (m) is:

$m=\frac{y_2-y_1}{x_2-x_1} =\frac{37.5-75}{300-0} =-0.125$

b) The rate of change means that the quantity of gas in tank decreases by 0.125 for every km traveled.

c) The graph was plotted using geogebra online graphing tool.

d) Using the points (0, 75) and (300, 37.5), the equation of the line is:

$T-T_1=\frac{T_2-T_1}{d_2-d_1}(x-x_1) \\\\T-75=\frac{37.5-75}{300-0}(d-0)\\\\T=-0.125d+75$

The tank is empty when T = 0, hence:

0 = -0.125d + 75

0.125d = 75

d = 600 km

The tank is empty at 600 km

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