Answer:
a) the slope is 2/-1 or just -2
b) the slope is 1/1 or just 1
Step-by-step explanation:
You can find slope (rise/run) by picking a point on the graph. For example on question a I chose the point (-2, 1) i then counted how far my run was, which is 2, and my rise (or how far down it went) was -1. Therefore my slope was 2/-1 or just -2.
Supplementary angles are when both angles sum up to 180
So,
G is 20%*K, so convert to decimals hence,
0.20*k
Hence
0.20*K + K = 180 degrees
Answer:
Number of days taken by 1 man alone and 1 boy alone are 35 days and 70 days respectively.
Step-by-step explanation:
Let, the work completed by 1 man in 1 day = x and the work completed by 1 boy in 1 day = y.
So, 4 men and 6 boy's 1 day work is
and 
And, 3 men and 4 boy's 1 day work is
and 
Since, 4 men and 6 boys complete the work in 5 days and 3 men and 4 boys complete the work in 7 days.
So, we have,


Let,
and 
So, the equations are,
................(1)
................(2)
Multiply (1) by 3 and (2) by 4 and subtract the equations, we get,
i.e.
i.e.
i.e. y = 70.
Substitute value of 'v' in (1) gives,
i.e.
i.e.
i.e.
i.e.
i.e.
i.e. x = 35
So, the number of days taken by 1 men alone and 1 boy alone are 35 days and 70 days respectively.
Answer:Ok, we have:
d(t) = 3*t^2 + 5*t - 2.
The first interval is:
(2, 3)
and remember that, for an interval (a,b), the difference quotient is:
D = (f(b) - f(a))/(b -a)
Then in this first interval we have:
So the average rate of change in (2,3) is 20.
now, in (2, 2.5) we have:
So here the rate of change is 9.25
And in the interval (2, 2.1) we have:
So in this interval the rate of change is 1.73
Step-by-step explanation: hope this helps luvv