Answer:
True
Step-by-step explanation:
Just compare the numbers to the dots.
I hope this helps!
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B. As the x-values increase, the y- valuebtend to decrease.
Answer:
x = -2/5
x = 1
Step-by-step explanation:
5x² - 3x - 2 = 0
(5x + 2)(x - 1) = 0
⇒ 5x + 2 = 0
⇒ 5x = -2
⇒ x = -2/5
⇒ x - 1 = 0
⇒ x = 1
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
