Personalul unei gradinite a cumparat 3 mingi si 4 masinute, pentru care a platit 146 de lei. dupa un timp, s-au mai cumparat la acelas pret 3 mingi si 7 masinute, in valoare de 224 de lei. cat costa o masinuta?dar o minge?

The cost of the car is 26 lei and for ball it is 14 lei respectively

Step-by-step explanation:

The computation of the car and the ball is given below:

Given that

3 balls + 4 cars = 146 lei

3 balls + 7 cars = 224 lei

Based on the above information

3 balls = 146 - 4 cars

3 balls = 224-7 cars

Now

146 -  4cars = 224 - 7 cars

7 cars - 4 cars = 224 - 146

3 cars = 78

1 car = 78: 3 = 26

3 balls = 146 - 4 × 26

3 balls = 146-104

3 balls = 42

a ball = 42: 3 = 14

The cost of the car is 26 lei and for ball it is 14 lei respectively

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}

(x, y)→(x − 8, y − 7)

step-by-step explanation:

enjoy!