In a direct variation, the constant of proportionality is -3.
2 answers:
Answer:
The equation is .
Step-by-step explanation:
When we say that a variable varies directly as another variable, or is directly proportionate to another variable, we mean that the variable changes with the same ratio as the other variable increases.
This kind of correlation can be represented as a linear function that passes through the origin, the equation of which is of the form . The two variables we are considering are <em>x</em> and <em>y</em>, while <em>k</em> is called the constant of proportionality.
We know the constant of proportionality k = -3, applying the above definition we get that the equation is .
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Answer:
Step-by-step explanation:
Finding the domain:
The domain of a function is the set of possible input values for which the function is real and defined.
Given the function
The function has no undefined points nor domain constraints. Hence, the domain is
i.e.
Finding the range:
The range of a function is the set of possible output values (dependent variable y values) for which a function is defined.
The range of polynomials with odd degree is all the real numbers.
Hence, the domain is
i.e.
We can follow the following steps to make an equation and solve it.
Step 1:
five less than 13 means we have to subtract 5 from 13
so it becomes 13-5
Step 2:
A number y is five less than thirteen.
Now in algebraic expressions, "is" stands for "="
So we have:
Step 3:
Solving the equation to find y.
Subtracting 5 from 13, we get :
y=8
Answer:
For the given equation the solution is y=8.