If the product of p*q*r is an irrational number, and p is a rational number, which of the following statement can be said about g andr
Only a can be irrational
Both q and must be irrational
Both qand may be irrational
may beration

only q or r can be irrational

Step-by-step explanation:

Rational numbers are numbers that can be expressed in the form a/b, where both a and b are integers and b ≠ 0. The decimal representation of an rational  numbers either repeats the sequence of digits over again or terminates at a finite number.

Irrational numbers are numbers that are not rational. The decimal representation of an irrational  number does not repeat a sequence of digits over again and never terminates. e.g √2, π.

The product of two irrational numbers is a rational number, the product of two rational numbers is a rational number while the product of a rational and irrational number is an irrational number. Hence since in p*q*r is an irrational number and p is a rational number, If both q and r are irrational then:

q*r = irrational * irrational = rational

p*(q*r) = rational * rational = rational. Since the result is not an irrational number then both q and r cannot be irrational.

But, If either q and r are irrational then:

q*r = irrational * rational = rational * irrational = irrational

p*(q*r) = rational * irrational = irrational. Since the result is an irrational number then only q or r can be irrational

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

positive

step-by-step explanation:

the quadrant is facing upwards