Volume = (edge)^3
Volume = (3/4)^3
Volume = (27/64) inches^3
Done.
Substitute this into the parabolic equation,
We're told the line 
intersects 
twice, which means the quadratic above has two distinct real solutions. Its discriminant must then be positive, so we know
We can tell from the quadratic equation that has its vertex at the point (3, 6). Also, note that
and
so the furthest to the right that extends is the point (5, 2). The line passes through this point for 
. For any value of 
, the line passes through either only once, or not at all.
So 
; in set notation,
It would be: a = v₂-v₁ / t
a = (70-10) / 12
a = 60 / 12
a = 5 m/s²
So, option A is your final answer.
Hope this helps!
Answer:
42=7(z-3)
We simplify the equation to the form, which is simple to understand
42=7(z-3)
Reorder the terms in parentheses
42=+(+7z-21)
Remove unnecessary parentheses
+42=+7z-21
We move all terms containing z to the left and all other terms to the right.
-7z=-21-42
We simplify left and right side of the equation.
-7z=-63
We divide both sides of the equation by -07 to get z.
z=9
The dimension of the box of the greatest volume that can be constructed in this way is 12x12x3 and the volume is 432.
<h3>
How to s
olve the d
imens
ion?</h3>
Let x be the side of the square to remove. Then the volume of the box is:
V(x) = (18 - 2x)² * x = 324x - 72x² + 4x³
To find the maximum volume, differentiate and set it to 0:
V'(x) = 324 - 144x + 12x²
0 = x² - 12x + 27
0 = (x - 9)(x - 3)
x = 3 or 9
When x = 3,
V"(x) =-144+24x
V"(3) =-144+72=-72<0
so volume is maximum at x=3
Therefore the box is 12x12x3 and the volume is 432.
Learn more about dimension on:
brainly.com/question/26740257
