The average speed would be 600 km/hr.
Step-by-step explanation:
Let the original speed be 'x'
Let the decreased speed be 'x-200'
Distance = 600 km
Time increased by 30 minutes
According to question, it becomes,
So, The average speed would be 600 km/hr.
The gcf of 25 and 14 would be 2
Answer:
y = 2x + 3 → Gradient / slope = 2 → Y - intercept = 3
y = -3x + 3 → Gradient / slope = -3 → Y - intercept = 3
Step-by-step explanation:
y = mx + c
This is the standard way an equation of a line is written. The 'm' of the line is the slope/gradient and the 'c' is the y - intercept. You can find the x-intercept by making y = 0. When the questions asks you to find the gradient you should never put 'x' after it only the number so
y = 2x + 3
Gradient / slope = 2
Y - intercept = 3
y = -3x + 3
Gradient / slope = -3
Y - intercept = 3
One way to be able to find out which one is greater is by making both the equations have the same denominator.
4/6= 32/48 and 3/8= 18/48
32/48>18/48 is 4/6>3/8
so basically 4/6 is bigger.
Answer: Please see explanation column for answer
Step-by-step explanation:
According to sequence 2, 6, 18, 54, 162
--we can see that it is a geometric sequence since to go from one term to the next requires us to multiply by 3 which is called the common ratio which is gotten by dividing the next by the previous.
ie term 2/ term 1= 6/2 = 3
term 3/ term 2= 18/6= 3
term 4/ term 3= 54/28= 3
term 5 / term 4= 162/54=3
term 6 will therefore be 162 x3 = 486
and term 7 = 486 x 3=1,458 and so on
Recall that nth term of GP is
Tn = ar^n-1
Where a= first term
r= common ratio
n= term
such that to easily find particular term, we plug in the values and calculate
for example the 10th term of the above sequence
Tn = ar^n-1
= 2 X 3 ^(10-1)
2 X 3^9
T10 =39,366