Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width =
Area = l*w =
Use derivative test
I derivative =
II derivative =
Equate I derivative to 0 and consider positive value only since we want maximum
p =
Thus width=
Length =
Width =
Answer:
m = 12n
Step-by-step explanation:
M is the amount that she would earn at the end of the day. She charges 12 dollars per lawn and then you multiply that by n which is going to be how many lawns she mowed.
Answer:
y =8.7
Step-by-step explanation:
y + 8.5 = 17.2
Subtract 8.5 from each side
y +8.5-8.5 = 17.2 -8.5
y =8.7
If given a line in the slope-intercept form
y=mx+b
m is the slope and b is they y-intercept