How many times does it intersect on the graph? y=x^2+3x-2, y-x=4
1 answer:
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Answer:
50
Step-by-step explanation:
v = the original speed of the cruise
d = 225 km the distance passed
t = d/v = 225/v the total time of the travel
v*1.5 + (v + 10)(d/v - 1.5 - 0.5) = d (using the formula distance = speed*time)
1.5v + (v + 10)(225/v - 2) = 225
Look at the images to see the solved equation
To express the height as a function of the volume and the radius, we are going to use the volume formula for a cylinder: 
where
is the volume
is the radius
is the height
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:
. We also know that the radius is r cm and height is h cm, so 
and 
. Lets replace the values in our formula:
Next, we are going to use the formula for the area of a cylinder:
where
is the area
is the radius
is the height
We know from our previous calculation that, so lets replace that value in our area formula:
By the commutative property of addition, we can conclude that:
where
We know for our problem that the cylindrical can is to contain 500cm^3 when full, so the volume of our cylinder is 500cm^3. In other words:
Next, we are going to use the formula for the area of a cylinder:
where
We know from our previous calculation that
By the commutative property of addition, we can conclude that: