Graph the inequality.x + 2y ? 1

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Answer: C

Mathematics

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Use the formula ?  ?  to find the integral. ? 

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Mathematics

Match the equation with the appropriate graph.f(x) = 

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D.

Mathematics

Solve the problem.A steel company produces two types of machine dies, part A and part B and is bound by the following constraints:? Part A requires 1 hour of casting time and 10 hours of firing time. ? Part B requires 4 hours of casting time and 3 hours of firing time.? The maximum number of hours per week available for casting and firing are 100 and 70, respectively.? The cost to the company is $0.75 per part A and $3.00 per part B. Total weekly costs cannot exceed $45.00.Let x = the number of part A produced in a week and  number of part B produced in a week. Write a system of three inequalities that describes these constraints.

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Mathematics

Solve the problem.Although the number of people arrested for arson has remained fairly constant during the 1990s, the percent of arson arrests that have been juveniles has been on the rise. The data is printed in the table below.(Source: U.S. Justice Department)Let P represent the percent of arson arrests that are juveniles at t years since 1990. The equation  models the data well.i) Use the linear model to predict when 75 percent of arson arrests will be juveniles.ii) Use the linear model to estimate the percent of arson arrests that were juveniles in 1985.iii) Find

the t-intercept. What does it mean in terms of arson arrests?iv) What is the slope of the equation P = 1.83t + 44.76? What does the slope represent in terms of arson arrests?v) Find the P-intercept. What does it mean in terms of arson arrests?vi) Find P when t = 10. What does your result mean in terms of the situation?vii) Find t when P = 100. What does your result mean in term of the situation? What will be an ideal response?

Mathematics