Line jis represented by the equation below; line, y = 2x +4

a. What is the slope of linej? Show or explain how you got your answer.

b. What is the slope of any line that is parallel to line? Explain your reasoning.

c. Write an equation for the line, k, that is parallel to line j and passes through the
point with coordinates (3, 7). Show or explain how you got your answer.

d. Write an equation for the line, h, that is perpendicular to line , and passes through
the point with coordinates (8, 10). Show or explain how you got your answer.

F(x) = (x^2 + 3x − 4) and g (x) = (x+4) find f/g and state the domain.

Browning labs is testing a new growth inhibitor for a certain type of bacteria. the bacteria naturally grows exponentially each hour at a rate of 6.2%. the researchers know that the inhibitor will make the growth rate of the bacteria less than or equal to its natural growth rate. the sample currently contains 100 bacteria.the container holding the sample can hold only 300 bacteria, after which the sample will no longer grow. however, the researchers are increasing the size of the container at a constant rate allowing the container to hold 100 more bacteria each hour. they would like to determine the possible number of bacteria in the container over time.create a system of inequalities to model the situation above, and use it to determine how many of the solutions are viable.

The graph of y = ax^2 + bx + c is a parabola that opens up and has a vertex at (0, 5). what is the solution set of the related equation 0 = ax%2 + bx + c?