The equation: s

=

p

2

−

p

2

s

=

p

2

-

p

2

gives the number of handshakes,

s

,

s

,

that would take place when

p

p

people gather in a room and every person in the room shakes the hand of every other person exactly once.

If there are 153 unique handshakes in the room, how many people are there?

There are people in the room.

answer

the correct answer is

explanation

the given function is

the excluded values are obtained by solving:

we factor to obtain:

the excluded values are

70

step-by-step explanation:

2*5=10

4*15=60

60+10=

70

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950

step-by-step :