Answer:
Check the explanation
Step-by-step explanation:
Kindly check the attached images below to see the step by step explanation to the question above.
Answer:
Domain: all real numbers except 0 and -3
Vertical asymptotes: x = 0; x = -3
Step-by-step explanation:
The domain is the set of numbers that can be substituted for x.
The expression has x in the denominator. Since division by zero is undefined, x cannot have any value that would cause a zero in the denominator. To find which values of x cause a zero in the denominator, we set the denominator equal to zero and solve the equation for x.
2x^2 + 6x = 0
Factor 2x.
2x(x + 3) = 0
Divide both sides by 2.
x(x + 3) = 0
x = 0 or x + 3 = 0
x = 0 or x = -3
Since the values x = 0 and x = -3 cause the denominator to equal zero, these two values of x must be excluded from the domain.
Domain: all real numbers except 0 and -3
The vertical asymptotes happen at the x values excluded from the domain.
Vertical asymptotes: x = 0; x = -3
Answer:
Step-by-step explanation:
The cost per sandwich when 3 are delivered is $20/3 or $6.67 each.
The cost per sandwich when 4 are delivered is $26/4 or $6.50 each.
The average cost per sandwich changes with the number delivered, so it is not proportional. The cost decreases per sandwich as the volume of sandwiches increases. One can't predict the cost of 6 delivered sandwiches based on the information provided. If it were proportional, the cost could be calculated on the basis of the slope of the line. If all sandwiches cost $6.50 each, regardless of the volume ordered, the slope of a line relating number ordered and total cost would have a constant slope of 6.50. That isn't the case in this problem. The slope keeps changing.
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