The maximum height is 144 feet.
The maximum height is the y-coordinate of the vertex. To find the vertex, we first use x = -b/2a. For our information, that is x=-64/2(-16) = -64/-32 = 2.
Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
Answer:
octagon, because 4 + 4 = eight sides, and octagons have 8 sides
Step-by-step explanation:
Hope that helps!
Answer:
yes
Step-by-step explanation:
nothing much u have to do like what ur teacher said
Answer:
A. 14x14x28
B. The maximum volume is 5488 cuibic inches
Step-by-step explanation:
The problem states that the box has square ends, so you can express volume with:

Using the restriction stated in the problem to get another equation you can substitute in the one above:

Substituting <em>y</em> whit this equation gives:

Now find the limit of <em>x</em>:

Find the length:

You can now calculate the maximum volume:

Answer:
The quotient rule for exponents states that
.
When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.
Step-by-step explanation:
Some rules to solve exponents are:
The quotient rule for exponents states that:
.
When dividing exponential expressions with the same nonzero base, <u>subtract</u> the exponents.