Answer:
t = 1
Step-by-step explanation:
16 - 2t = t + 9 + 4t
=> 16 - 9 = 7t
=> 7 = 7t
=> t = 1

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 = 
X + (2 + x) + (4 + x) = 60
3x + 6 = 60
3x = 54
x = 18
x + 2 = 20
x + 4 = 22
Their ages are 18, 20, 22
Answer:
$57
Step-by-step explanation:
$380x0.85=$323
$380-$323=$57