Alex is ordering his girlfriend a bouquet of flowers for their anniversary. roses cost $5 each and carnations cost $2 each. he would like to include at least 3 flowers. to stay on budget he must not spend more than $36.

Step-by-step explanation:

Let x be number of roses and y be the number of carnations.

We have been given that  Alex would like to include at least 3 flowers. We can represent this information as:

We are also told that roses cost $5 each and carnations cost $2 each and to stay on budget he must not spend more than $36.  We can represent this information as:

Therefore, our system of inequalities that will represent the given situation is:

the terms of a geometric sequence can be found by beginning with the first term and multiplying by the common ratio repeatedly. a recursive formula for a geometric sequence with common ratio r is given by an=ran−1 a n = r a n − 1 for n≥2 n ≥ 2 .

step-by-step explanation: