Answer:
Attached is the complete question and solutions
Y varies directly as x . If y is 2 when x is 8, then the constant of variation is 1/4 . True or False
2 answers:
Answer:
The answer is TRUE.
Step-by-step explanation:
In order to determine the answer, we have to know about the directly proportional. The directly proportional is when two variables increase at the same time. If one variable is increased, so the other one will be increase too.
The ratio of both is a constant, it is called "constant of variation".
For example:
A varies directly as B, so:
where k is the constant of variation
In this case, we have that Y varies directly as X. Also if Y is 2 when X is 8, the constant of variation is:
Finally, according to the value of the constant of variation, the statement is TRUE.
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Answer:
Point (0,0)
Step-by-step explanation:
Given the inequality y > 12x – 11.
We will check which of the given options will be applied for the inequality
A) (1,0)
Substitute with x = 1 and y = 0
0 > 12*1 - 11
0 > 1 ⇒ Wrong
So, Point (1,0) is not part of the solution of the inequality.
B) (3,2)
Substitute with x = 3 and y = 2
2 > 12*3 - 11
0 > 25 ⇒ Wrong
So, Point (3,2) is not part of the solution of the inequality.
C) (1,1)
Substitute with x = 1 and y = 1
1 > 12*1 - 11
1 > 1 ⇒ Wrong
So, Point (1,1) is not part of the solution of the inequality.
D) (0,0)
Substitute with x = 1 and y = 0
0 > 12*0 - 11
0 > -11 ⇒ True
So, Point (0,0) is part of the solution of the inequality.
Also, see the attached figure which represents the given inequality
The shaded area represents the solution of the inequality, and we can note that point (0,0) is part of the solution of the inequality
