If an equation is a direct variation, then there is always something added or subtracted from the x term
1 answer:
Answer:
The given statement is false.
Step-by-step explanation:
Given statement:
"If an equation is a direct variation, then there is always something added or subtracted from the x term."
Consider 2 variables 'x' and 'y' such that 'y' varies directly with 'x'. Therefore, if two variables have direct variation, then they are related as:
, where, 'k' is a constant of proportionality.
Now, in the above relation, the variable 'x' is multiplied by 'k' but nothing is added or subtracted from the 'x' term.
If something is added to the 'x' term, then the relation is a linear variation and not a direct variation.
Thus, the given statement is FALSE.
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The value of gf(5) for the given two expressions is 135.
According to the question,
We have the following information:
f(x)= x +4
g(x) = 3x
Now, in order to find the value of gf(5), we will first find the value of gf.
Now, we will multiply these two expressions:
3x(x+4)
Now, the terms outside the brackets need to multiplied inside the bracket:
Now, we will put the value of x in this expression as 5 and solve the expression further by multiplication and addition:
3*5*5+12*5
75+60
135
Hence, the value of gf(5) for the given two expressions of f(x) and g(x) is 135.
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