This math my life depends on it

Answers

Answer 1

Answer:

A geometric sequence is one in which consecutive terms form a fixed ratio r. In other words, if aₙ is the nth term in the sequence, then

$a_n = a_(n-1)r$

For example, if a₁ = a is the 1st term, then

2nd term = a₂ = a₁r

3rd term = a₃ = a₂r = a₁r²

4th term = a₄ = a₃r = a₁r³

and so on. It's fairly easy to infer that

nth term = $a_n = a_(n-1)r = a_(n-2)r^2 = a_(n-3)r^3 = \cdots = a_1r^(n-1)$

14. We're given the 2nd and 5th terms, a₂ = -243 and a₅ = -9, and we use them to find the ratio r.

a₅ = a₄r = a₃r² = a₂r³

-9 = -243 r³

r³ = 1/27

⇒ r = 1/3

Then the 1st term is

a₁ = a₂/r = -243/(1/3) = -729

and the nth term is recursively given by

$a_n = \frac13a_(n-1)$

and explicitly by

$a_n = \left(\frac13\right)^(n-1) a_1 = -(729)/(3^(n-1)) = -(3^6)/(3^(n-1)) = -3^(7-n)$

15. Now we have a₄ = 1/72 and a₃ = -1/12. Using what we know about geometric sequences, we have

a₄ / a₃ = (a₃r) / a₃ = r

so that

r = (1/72) / (-1/12) = -1/6

Then the 1st term is

a₁ = a₂/r = a₃/r² = (-1/12) / (-1/6)² = -3

and the nth term is recursively given by

$a_n = -\frac16a_(n-1)$

and explicitly by

$a_n = \left(-\frac16\right)^(n-1) (-3) = -3\cdot(-6)^(1-n) = 3\cdot(-1)^n\cdot6^(1-n)$

- 65

Hope this helps you

For the polynomial below, find F(-3)

F(-3)= -4x^2+3x-1

Answers

$f(-3)=-4\cdot(-3)^2+3\cdot(-3)-1=-4\cdot9-9-1=-36-10=-46$

The variables x and y are directly proportional, and y = 2when x = 3. What is the value of y when x = 9 ?

Answers

Direct proportionality:
$y=kx$
k - the constant of proportionality

$y=2 \hbox{ when } x=3 \n \Downarrow \ny=kx \n 2=3k \nk=(2)/(3) \n \ny=? \hbox{ when } x=9 \n\Downarrow \ny=kx \n y=(2)/(3) * 9 \ny=2 * 3\ny=6 \n \n\boxed{y=6 \hbox{ when } x=9}$

Which value must be added to the expression x2 + x to make it a perfect-square trinomial?

Answers

it need a lone number. so something like x2+x+3

Answer:

The answer is A.) 1/4

Step-by-step explanation:

Got it right on Edge.

A raffle is held at MTHS ASB to draw for a $1000 plasma television. Two thousand tickets are sold at $1.00 each. Find the expected value of one ticket.

Answers

Answer:

$0.5

Step-by-step explanation:

"The expected value of one ticket" is what the cost of the television covers.

If 2000 tickets are sold for $ 1 the total amount of all tickets sold is

$2000.(1)= 2000$

To calculate the expected value of a single ticket, we have to divide the cost of the TV by the price of all tickets sold.

$(1000)/(2000)= 0.5$

The "expected value of a ticket" is the probability of being drawn multiplied by the earnings associated to being drawn.
($1 is the price of the ticket which of course can be different).

So in this case probability is 1/2000 and the earnings would be valued $1000 (value of the plasma TV).
The expected value is 1/2000*1000=1000/2000=$0,5

This means you should not buy a $1 ticket to play except if this really brings you LOTS of amusement ;)

Factor the expression completely.

4x2 - 12x + 9