Express the situation as a system of two equations in two variables. Be sure to state clearly the meaning of your x- and y-variables. Solve the system by row-reducing the corresponding augmented matrix. State your final answer in terms of the original question.

For the final days before the election, the campaign manager has a total of $30,500 to spend on TV and radio campaign advertisements. Each TV ad costs $3000 and is seen by 10,000 voters, while each radio ad costs $500 and is heard by 2000 voters. Ignoring repeated exposures to the same voter, how many TV and radio ads will contact 110,000 voters using the allocated funds?

X= __ (tv ads)

Y= __ (radio ads)

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Harold, a fifty-eight year old grocery store manager, had recently been waking up in the middle of the night with abdominal pain. this was happening several nights a week. he was also experiencing occasional discomfort in the middle of the afternoon. harold decided to schedule an appointment with his physician. the doctor listened as harold described his symptoms and then asked harold some questions. he noted that harold's appetite had suffered as a result of the pain he was experiencing and as a result of the fear that what he was eating may be responsible for the pain. otherwise, harold seemed fine. the doctor referred harold to a physician that specialized in internal medicine and had harold make an appointment for a procedure called an endoscopy. the endoscopy was performed at a hospital later that week. during the procedure, a long, thin tube was inserted into harold's mouth and directed into his digestive tract. the end of the tube was equipped with a light source and a small camera which allowed the doctor to observe the interior of harold's stomach. the endoscope was also equipped with a small claw-like structure that the doctor could use in order to obtain a small tissue sample from the lining of harold's stomach, if required. the endoscopy revealed that harold had a peptic ulcer. analysis of a tissue sample taken from the site showed that harold also had an infection that was caused by helicobacterpylori bacteria. the doctor who performed the endoscopy gave harold prescriptions for two different antibiotics and a medication that would decrease the secretion of stomach acid. the doctor also instructed harold to schedule an appointment for another endoscopy procedure in 6 months. 1. list the subjective findings in this case study. 2. what is an endoscopy? (2 points) what is a biopsy? 3. how was a biopsy performed on harold? 4. differentiate between gastric and duodenal ulcers by location. 5. what role does h. pylori play in the formation of peptic ulcers? 6. define occult and frank blood. (4 points) what is a guaiac test? 7. how can peptic ulcers cause bleeding? 8. why were antibiotics prescribed? 9. why would a medication that would decrease the secretion of stomach acid be beneficial?

Which of the following is the correct definition for veins?