Answer:
3
Step-by-step explanation:
15 fish / 5 days = 3 fish per day
Answer:
8 vans
7 buses
Step-by-step explanation:
Let there be "b" buses
and "v" vans
Since 7 people is the capacity of vans, the total capacity is
7v
Also, since 25 people is the capacity of 1 bus, the total capacity is
25b
In total 231 people, so we can write our first equation as:
7v + 25b = 231
Now, we know there are 15 vehicles (bus + vans) in total, so we can write our 2nd equation as:
v + b = 15
Now, we solve for v and b. Let's solve the 2nd equation for v and substitute that into 1st and solve for b first:
v + b = 15
v = 15 - b
Now,

Hence, there are 7 buses
Since 15 vehicles in total, the number of vans is:
15 - 7 = 8 vans
So,
8 vans
7 buses
Answer:
6+12y
Step-by-step explanation:
By using the distribution property
For each curve, plug in the given point
and check if the equality holds. For example:
(I) (2, 3) does lie on
since 2^2 + 2*3 - 3^2 = 4 + 6 - 9 = 1.
For part (a), compute the derivative
, and evaluate it for the given point
. This is the slope of the tangent line at the point. For example:
(I) The derivative is

so the slope of the tangent at (2, 3) is

and its equation is then

For part (b), recall that normal lines are perpendicular to tangent lines, so their slopes are negative reciprocals of the slopes of the tangents,
. For example:
(I) The tangent has slope 7/4, so the normal has slope -4/7. Then the normal line has equation
