14-16 and 17-20 I need help figuring this out or answers.
1 answer:
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Answer:
D(x) is a function
D(x) is a direct variation
D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)
Step-by-step explanation:
we know that
A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form or
In a proportional relationship the constant of proportionality k is equal to the slope m of the line and the line passes through the origin
In this problem
D(x) is a direct variation (linear function)
The variable x is the independent variable or input value
The variable D(x) is the dependent variable or output value
<u><em>Verify each statement</em></u>
case 1) D(x) is a function
The statement is true
see the explanation
case 2) x is the dependent variable
The statement is false
The variable x is the independent variable or input value
case 3) D(x) is a direct variation
The statement is true
see the explanation
case 4) D(x) is a rule for the set of points (5.10). (6, 12) and (-2,-4)
The statement is true
Because
For x=5
substitute in the linear equation
---> is ok
For x=6
substitute in the linear equation
---> is ok
For x=-2
substitute in the linear equation
---> is ok
The question is incomplete. Here is the complete question:
Mr.yueng graded his students math quizzes students came up with four different answers when solving the equation x3=22. Which answers is correct.
(A)
(B)
(C)
(D)
Answer:
(B)
Step-by-step explanation:
Given:
The equation to solve is given as:
Here, the left hand side of the equation has a variable 'x' in exponent form. So, in order to solve for 'x', we have to eliminate the exponent.
For removing the exponent, we have to take cubic root on both the sides. As we know that,
So, taking cubic root on both the sides, we get
Therefore, the second student has written the correct answer and hence the correct option is (B).