Answer:
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Step-by-step explanation:
we have

This is the equation of a vertical parabola open downward
The vertex is a maximum
Remember that
The x-intercept is the value of x when the value of y is equal to zero
The x-intercepts of the equation are
(0,0) and (8,0)
therefore
The greatest x-intercept is the point (8,0)
see the attached figure
Remember that x represent the length of the box
therefore
The greatest x-intercept of the graph of this polynomial equals to
The maximum length (x) of the rectangular box
The minimum volume (y) of the rectangular box
The minimum height (8-x) of the rectangular box
Answer:
It will take him 1 hour 35 minutes to finish a 10 mile race
Answer is (C)
Answer:
a. 4x³+13x²+9
Step-by-step explanation:
1. Distribute 4x to every term in the second set of parenthesis to get:
4x³-16x²+12x
2. Distribute 3 to every term in the second set of parenthesis to get:
3x²-12x+9
3. Add/subtract terms with the same variables/degrees:
4x³-16x²+12x+3x²-12x+9
4. The simplified answer is:
4x³+13x²+9
Using the permutation formula, it is found that there can be 600 winning combinations.
There are roles involved(president, vice-president, secretary and treasures), hence the order is important and the <em>permutation formula</em> is used.
<h3>What is the permutation formula?</h3>
The number of possible permutations of x elements from a set of n elements is given by:

In this problem:
- For president and vice-president, 2 students are chosen from a set of 6.
- For secretary and treasurer, 2 students are chosen from a set of 5.
Hence:

There can be 600 winning combinations.
More can be learned about the permutation formula at brainly.com/question/25925367
(3+6)^2 + 3^3 =
9^2 + 3^3 =
81 + 27 =
108