1. nick works two jobs to pay for college. he tutors for $15 per hour and also works as a bag boy for $8 per hour. due to his class and study schedule, nick is only able to work up to 20 hours per week but must earn at least $150 per week. if t represents the number of hours nick tutors and b represents the number of hours he works as a bag boy, which system of inequalities represents this scenario? t + b greater than or equal to 20 15t + 8b = 150 t + b less than or equal to 20 15t + 8b greater than or equal to 150 t + b less than or equal to 20 15t + 8b less than or equal to 150 none of the systems shown represent this scenario.

21/58.

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region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true