Answer:
we conclude that the intervals in which the function P(t) is decreasing are:
Step-by-step explanation:
At x< 1, the function P(t) is decreasing
- A function p is an increasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x
- A function p is a decreasing function on an open interval if f(y) > f(x) for any two input values x and y in the given interval where y>x
From the figure, it is clear that the function seems to be increasing
from (1, 3) and then 4 to onwards.
But it is clear that the function seems to be decreasing from the x < 1 and from the interval (3, 4).
Therefore, we conclude that the intervals in which the function P(t) is decreasing are:
This is one of those problems where you'll sink like a rock if
you allow yourself to be blinded by all the useless, unnecessary,
irrelevant information in the first paragraph.
The ONLY information you need is:
-- You're chartering a bus for 1 day.
-- It costs $780 .
That's ALL .
(You don't even need to know that the bus has 55 seats.
You might need that for #8 - #12, but not for #6 or #7.)
_________________________
If the people on the trip are going to share the cost of the bus,
then the cost of each share depends on the number of people.
Less people ==> each one pays more.
More people ==> each one pays less.
Just like everybody in the office sharing the cost of
a birthday gift for the boss.
#6 and #7 should really be done in the reverse order ...
do #7 before you worry about #6.
Before you can fill in the table in #6, you absolutely need
to have the equation, whether or not you realize it.
The total cost is fixed . . . It's $780 .
If 2 people go on the trip, each one pays 780 / 2 .
If 3 people go on the trip, each one pays 780 / 3 .
If 4 people go on the trip, each one pays 780 / 4 .
If 5 people go on the trip, each one pays 780 / 5 .
.
.
If 10 people go on the trip, each one pays 780 / 10 .
.
.
If 20 people go on the trip, each one pays 780 / 20 .
.
.
If ' n ' people go on the trip, each one pays 780 / n .
.
. until the bus is full ...
.
If 55 people go on the trip, each one pays 780 / 55 .
.
If 56 people go on the trip, then you need another bus,
and it gets more complicated.
But up to 55, the price per person is (780 / the number of people).
<span> #7). P = 780 / n .
</span>Now, filling in the table in #6 is a piece 'o cake.<span>
</span>5 people. . . . . . . 780 / 5
10 people . . . . . 780 / 10
15 people . . . . . 780 / 15
20 people . . . . . 780 / 20
.
.
etc.
Just don't go past 55 people. The equation changes after that.
For ANY number of people, even hundreds, and ANY number
of buses, I think the equation looks something like this:
P = (785/n) · [ 1 + int(n/56) ] .
' int ' means ' the greatest integer in ... ', that is,
' throw away the fractional part of the quotient,
and use only the whole number '.
Answer:
- 11x² + 4x + 14
Step-by-step explanation:
Given
(9 - 3x²) + (- 8x² + 4x + 5) ← distribute both parenthesis by 1
= 9 - 3x² - 8x² + 4x + 5 ← collect like terms
= - 11x² + 4x + 14 ← sum of the polynomials
Answer:
15/16 cm
Step-by-step explanation:
The drill must go 3/8 of the way from one side of the sheet to the other. The depth that this drill must reach is found by multiplying 2.5 cm by 3/8:
25 3 5 3
----- * ----- = ------ * ------ = 15/16 cm
10 8 2 8
