1. Work out the speed of a car travelling:
a. 100m in 10s
b. 300m in the 20s
c. 700m in 35s
d. 1000m in 200s

10m/s,15m/s,20m/s,5m/s

Step-by-step explanation:

Speed = distance / time

a) distance = 100m , time = 10s

Speed = distance / time

Speed = 100m/10s

Speed = 10m/s

b) distance = 300m , time = 20s

Speed = distance / time

Speed = 300m/20s

Speed = 15m/s

c) distance = 700m , time = 35s

Speed = distance / time

Speed = 700m/35s

Speed = 20m/s

d) distance = 1000m , time = 200s

Speed = distance / time

Speed = 1000m/200s

Speed = 5m/s

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the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

the volume is the product of the area of the base, 3x(3x+4), and the height, 3x-1

step-by-step explanation: