Which region represents the solution to the given system of inequalities? y is less than negative 1 half x y is greater than or equal to 2 x plus 3
A deli is offering two specials. The roast beef special gives a profit of 2 point 3 0 dollars per sandwich, and the turkey special gives a profit of 3 point 1 0 dollars per sandwich. The roast beef special uses two slices of bread and three slices of cheese. The turkey special uses two slices of bread and four slices of cheese. The deli has 120 slices of bread and 160 slices of cheese available for the specials. The deli wants to maximize its profit selling specials. Let x represent the number of roast beef specials and y represent the number of turkey specials. What are the constraints for the problem?
A tennis team has 24 members. There are twice as many girls as boys on the team. How many girls are on the tennis team?
Which graph shows the solution to the following system of inequalities? x plus y is greater than 4 x plus y is less than 3
Which point is a solution of x squared plus y squared is greater than 49 and y is less than or equal to negative x squared minus 4 ?
The constraints of a problem are listed. What are the vertices of the feasible region? x plus 3 y is less than or equal to 6 4 x plus 6 y is greater than or equal to 9 x is greater than or equal to 0 y is greater than or equal to 0
Michael is paid 9 dollars per hour to work at the movie theater and 7 dollars per hour when he helps his aunt at her bakery. Michael cannot work more than 32 hours in a week, but he wishes to earn at least 251 dollars each week. Which weekly work schedule is within Michael’s constraints?
At a skills competition, a target is being lifted into the air by a cable at a constant speed. An archer standing on the ground launches an arrow toward the target. The system of equations models the height, in feet, of the target and the arrow t seconds after it was fired. Which statement most likely describes the situation modeled by this system? h is equal to 8 plus 2 t h is equal to 4 plus 32 t minus 6 t squared
A rectangular parking lot has a perimeter of 820 ft. The area of the parking lot measures 42 comma 000 ft squared What is a dimension of the parking lot?
An air show is scheduled for an airport located on a coordinate system measured in miles. The air traffic controllers have closed the airspace, modeled by a quadratic equation, to non-air show traffic. The boundary of the closed airspace starts at the vertex at open paren 10 comma 6 close paren and passes through the point open paren 12 comma 7 close paren A commuter jet has filed a flight plan that takes it along a linear path from open paren negative 18 comma 14 close paren to open paren 16 comma negative 13 close paren Which system of equations can be used to determine whether the commuter jet’s flight path intersects the closed airspace?
What is the solution to the system of equations? 10 x plus 3 y is equal to 43 negative 9 x minus y is equal to negative 20
Which graph represents the solution of y is less than or equal to x squared plus 1 and x is greater than y squared minus 5 ?
Arianna is buying plants for her garden. She buys 15 flowering plants for 96 dollars Pink flowering plants sell for 8 dollars , and purple flowering plants sell for 5 dollars How many pink flowering plants did Arianna buy?
Samir begins riding his bike at a rate of 6 miles per hour. Twelve minutes later, Chris leaves from the same point and bikes along the same route at 9 miles per hour. How long after Chris begins riding does he catch up to Samir?
Which statement describes the system of equations? negative 5 x minus 4 y is equal to negative 4 25 x plus 20 y is equal to 20
A small fair charges an admission fee for children and adults. The cost for admission is 3 dollars per adult and 2 dollars per child. On a certain day, total admission fees were 900 dollars , and 350 people attended the fair. How many children attended the fair that day?
A farm irrigation system waters a large field. Consider the center of the field as the origin and the rest of the field as a grid measured in yards. The first irrigation unit is located at the point open paren negative 400 comma negative 200 close paren and waters 500 yards in every direction. The second is located at open paren 200 comma 300 close paren and waters 400 yards in every direction. The system of inequalities represents this scenario. open parenthesis x plus 400 close parenthesis squared plus open parenthesis y plus 200 close parenthesis squared is less than or equal to 250,000; open parenthesis x minus 200 close parenthesis squared plus open parenthesis y minus 300 close parenthesis squared is less than or equal to 160,000 Crops watered by both systems will most likely grow more quickly. Which location will receive the maximum amount of water?
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