Write a system of equations to describe the situation below, solve using substitution, and fill in the blanks.
Oliver is training for a triathlon and needs to swim a certain distance for today's workout. If
he swims at the rec center pool, he will complete a 244-yard warmup and then swim laps in a
lane that is 28 yards long. If Oliver swims at the indoor pool at his gym, he will complete a
246-yard warmup, plus a main set that consists of 26 yards per lap. If Oliver swims the
correct number of laps, he can complete the same distance in either pool. How many laps will
that take? How long will Oliver's workout be in total?
If Oliver swims
laps at either pool, he can complete a total workout of
yards.

u rich

step-by-step explanation:

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}

30 units^2

step-by-step explanation:

area is l × w

the length is 3

and the width is 10

3 × 10= 30 units squared

other answer is correct. i had used the radius of the radius somehow. a website: