Solve the system of two linear inequalities graphically.{x>−1y≥−5Graph the solution set of the first linear inequality.

Which is a benefit of digital marketing in IMC (Integrated Marketing Communication)?

Solve the following system of linear equations by substitution and determine whether the system has one solution, no solution, or an infinite number of solutions. If the system has one solution, find the solution.{7x+y=16x+y=2

Solve the system of two linear inequalities graphically.{x>2y≥3Graph the solution set of the first linear inequality.

Graph reduction

EXTRA CREDIT – 1 POINT – On November 17, 2024, the FDA and CDC, in collaboration with state and local partners, reported illnesses in a multistate outbreak of Shiga toxin-producing E. coli O121:H19 infections linked to organic whole and baby carrots.  Select the correct answers to the following questions in order:  What is the O antigen? What is the H antigen? How does Shiga toxin work?

See attached Excel sheet for formulas and financial data:   Exam Three Financial Data and Formulas.xlsx

For Questions 5 & 6, Consider the following: GreenTech, a company specializing in renewable energy solutions, is setting up a new manufacturing unit for solar panels. The unit has three different types of production lines: Alpha, Beta, and Gamma. Each line uses a different amount of silicon and produces different quantities and qualities of solar panels, which affects their selling price. The Alpha line uses 20 kg of silicon to produce 10 solar panels, each selling for $150. The Beta line uses 12 kg of silicon to produce 8 solar panels, each selling for $100. The Gamma line uses 6 kg of silicon to produce 12 solar panels, each selling for $50. Due to supply chain issues, GreenTech can only secure 300 kg of silicon per month. Furthermore, the company participates in an energy efficiency program that requires the Gamma line, which is less energy-efficient, to use no more than 20% of the available silicon supply. Consider a linear program which determines the number of individual panels of each line to produce to maximize monthly revenue. For simplicity, assume that production of each line can be scaled proportionally based on the amount of silicon used (producing partial panels is allowed).

Graph the solution set of the following linear inequality:−6y≤−4x+12

Find the equation (in slope-intercept form) of the line passing through the points with the given coordinates.(4,1) , (2,3)