H(x)=-(x+11)^2+1. What are the zeros of the function? What is the vertex of the parabola?

Evaluate, and round your answer to the nearest hundredth.

VashaNatasha [74]

Answer:

(d) -1.83

Step-by-step explanation:

The explicit expression for the sum is ...

S = (-11/5)×(1 -(-1/5)^10)/(1 -(-1/5)) = -2.2(1 -1.024×10^-7)/1.2

S = -1.8333331456

The sum is approximately -1.83.

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Additional comment

For a sum of a sequence with multiplier 'a' and common ratio r, we find ...

$\displaystyle S=\sum_{n=1}^{10}ar^n=ar+ar^2+ar^3+\dots+ar^{10}\\\\rS=ar^2+ar^3+\dots+ar^{10}+ar^{11}\\\\S-rS=ar+(ar^2-ar^2)+(ar^3-ar^3)+\dots+(ar^{10}-ar^{10})-ar^{11}\\\\S=\dfrac{ar-ar^{11}}{1-r}=ar\dfrac{1-r^{10}}{1-r}$

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A calculator or spreadsheet can also find the sum for you.

7 0

1 year ago

.. an. v. . it V V is going on afield trip to Austin to of Texas History and lo see an I MAX Ruiz day given the number of hours

erastova [34]

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).

 #7). P = 780 / n .

Now, filling in the table in #6 is a piece 'o cake.

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 '.

5 0

3 years ago

A point moves along the curve y = √ x in such a way that the y-component of the position of the point is increasing at a rate of

Eduardwww [97]

Answer:

The value of x component changes at a rate of $\frac{dx}{dt}=4\sqrt{x}$ units per second