Answer: 3
Step-by-step explanation:
The formula for finding equation of a line in slope - intercept form is given as :
Where m is the slope and c is the y - intercept.
Equation given :
, comparing with
,

Therefore , slope = 3
Answer:
For t=3 sec the velocity change from positive to negative
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward (the leading coefficient is negative)
where
s(t) is the distance in feet
t is the time in seconds
We know that
To find out when the velocity change from positive to negative, we need to determine the turning point of the quadratic equation
The turning point of the quadratic equation is the vertex
so
Convert the quadratic equation into vertex form

Factor -16

Complete the square


Rewrite as perfect squares

The vertex is the point (3,244)
therefore
For t=3 sec the velocity change from positive to negative
The area of a hexagon with a radius of 5 inches is 86.603.
Answer:
£110
Step-by-step explanation:
We know how much time it takes for a boiler and a radiator, and we need to know how much it will cost for 1 boiler and 4 radiators. We have an initial cost of £30, and since hes doing a boiler - which we know takes an hour - we can already add £20 for a start of £50.
Now, there are 4 radiators, that take 45 minutes each. We need to use this equation:

We divide by 60 because there are 60 minutes in an hour, and he charges by hour. So:

Now, to find out how much to charge, we need to figure out how much to add to the £50. Since it's £20 an hour, and it takes 3 hours to do the 4 radiators, we need to multiply:

Now we add our totals for a grand total of...
