1aduceti la o forma mai simpla
a) 5 la puterea 3pe 2ori 125la puterea 1pe 2ori 5la puterea minus4pe3ori25la puterea 1pe 2
b) 81 la puterea2radical din 2 ori 3 radical din 8 impartit la 27la puterea a 5radical18
2 sa se demonstreze ca numarul ( 1+radical din 2) la puterea a 2 +(1 -radical din 2 ) la puterea a doua este numar natural.
3 calculati
a ) log in baza 1pe 3 2-login baza 1 pe 2 18+ log in baza 1 pe3 3
b) lg 1 pe 2 + lg2pe3++lg9pe 10
aceste puncte sunt de clasa a x-a

which expression can be used to convert 80 us dollars (usd) to australian dollars (aud)?

1 usd = 1.0343 aud

1 aud = 0.9668 usd

step-by-step explanation:

sorry just need the points

geometric series converge the common ratio r has magnitude less than one.

which is equivalent to

for the example we need

|2-x| < 1

-1 < 2-x   and 2-x < 1

x < 3 and x > 1

we can write that

answer: 1 < x < 3

1a. common ratio r=250/25=10 > 1     diverges

1b.   r=50/100=1/2 converges

when these converge they converge to

where a is the first term.

answer: 200

1c. r=-1   so it's not the case that |r| < 1.     diverges

2a. x is the common ratio so we converge when |x|< 1

2b.   r=-10x / -2 = 5x.

we converge when

|5x| < 1

|x| < 1/5

2c.   r=3-2x

-1 < 3-2x and 3-2x < 1

-4 < -2x and 2 < 2x

x < 2 and 1 < x

1 < x < 2

2d. [/tex] r=-48x^3/12 = 4x^3[/tex]

|4x^3| < 1

|x^3| < \frac 1 4

|x| < 4^{-1/3}

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

first one because it can't have a fraction in it

step-by-step explanation: