Answer:
x=8
Step-by-step explanation:
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Answer:
The graph that does not represent a function is;
The first graph of the circle
Step-by-step explanation:
A function is a relationship, rule or law that maps the inputs 'x' the input set 'X' known as the domain, to exactly one output 'y' in the output set 'Y' known as the range
Therefore, a function maps an input to exactly one output
In a graph, the inputs are usually the x-variables, therefore the graph that maps the x-variables (in which an x-variable has) to more than one y-variable is the graph of the circle
In the graph of the circle, we have;
When x = 0 at the origin, y = 0
Similarly
When x = 0 at the maximum point, y = 4
Therefore, the graph of the circle does not represent a function.
The best ticket deal are illustrations of linear equations
The ticket system is a better deal to the max ticket
<h3>How to determine the best ticket deal</h3>
From the complete question, we have the following summary:
Charges = $22 per person
Surcharge = $10 per transaction
Charges = $20 per person
Surcharge = $16 per transaction
Assume there would be only one transaction, the linear equations that represent the ticket deals are:
Ticket System: y = 22x + 10
Max Ticket: y = 20x + 16
The costs of ticket for two people in both deals are:
Ticket System: y = 22*2 + 10 = 54
Max Ticket: y = 20*2 + 16 = 56
By comparison;
54 is less than 56
This means that the ticket system is a better deal to the max ticket
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Answer:
See attachment
Step-by-step explanation:
To see clearly the graph that represents
we rewrite in vertex form to get;
This is a vertical parabola with vertex at (-1.5,-0.25) and opens upwards.
The required graph is shown in the attachment.
The assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
Important assumptions in regression model analysis are
- There should be a linear and additive relationship between dependent (response) variable and independent (predictor) variable(s).
- There should be no correlation between the residual (error) terms. Absence of this phenomenon is known as auto correlation.
- The independent variables should not be correlated. Absence of this phenomenon is known as multi col-linearity.
- The error terms must have constant variance. This phenomenon is known as homoskedasticity. The presence of non-constant variance is referred to heteroskedasticity.
- The error terms must be normally distributed.
Hence we can conclude that the assumptions of a regression model can be evaluated by plotting and analyzing the error terms.
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