1. What is the domain of the function {(18,34),(22,64),(94,36),(11,18),(91,45)}?
8.what is the equation of the line that includes the point (4,-3) and has a slope of -2?
12.what is the solution to the following system of equations?
Y=2x-4
y=x
15.which function is not linear
19.what is the solution To the following system of equations?
Y=4x-8
y=2x
1- Domains: 18, 22, 94, 11, 91.
8- y=-2x+5
1. To find the domain of a function, we need to determine the set of all possible input values (x-values) for which the function is defined. In this case, the domain is the set of all x-values in the given function. By looking at the given pairs of x and y values, we can see that the x-values are 18, 22, 94, 11, and 91. Therefore, the domain of the function is {18, 22, 94, 11, 91}.
8. To find the equation of a line that includes a specific point (x1, y1) and has a slope (m), we can use the point-slope form of a linear equation: y - y1 = m(x - x1). In this case, the given point is (4, -3) and the slope is -2. Substituting these values into the point-slope form, we get y - (-3) = -2(x - 4), which simplifies to y + 3 = -2x + 8. Rearranging this equation to the standard form, we have 2x + y = 5. Thus, the equation of the line is 2x + y = 5.
12. To find the solution to a system of equations, we need to determine the values of variables that satisfy all the equations in the system. In this case, the given system consists of two equations: y = 2x - 4 and y = x. To find the solution, we set these two equations equal to each other: 2x - 4 = x. Solving this equation, we get x = 4. Substituting this value back into either equation, we find y = 4 as well. Therefore, the solution to the system of equations is x = 4 and y = 4.
15. To determine which function is not linear, we need to identify the function that does not have a constant rate of change. Linear functions have a constant rate of change, meaning that for every increase of x by a fixed amount, the corresponding increase in y is always the same. To determine if a function is linear, we can check if the difference between consecutive y-values is the same for all x-values. Without the actual functions provided, it is difficult to determine which one is not linear.
19. To find the solution to a system of equations, we need to determine the values of variables that satisfy all the equations in the system. In this case, the given system consists of two equations: y = 4x - 8 and y = 2x. To find the solution, we set these two equations equal to each other: 4x - 8 = 2x. Solving this equation, we get x = 4. Substituting this value back into either equation, we find y = 8. Therefore, the solution to the system of equations is x = 4 and y = 8.