Y is directly related to X , and Y is 81 when X is 27. The constant of variation is
2 answers:
Answer: 3
Step-by-step explanation:
When a variable is directly varies to variable y , then the equation for direct variation is given by :_
(1)
, where k is the constant of variation.
We are given that ,
Y is directly related to X , and Y is 81 when X is 27.
Put x= 27 and y= 81 in (1) , we get
Divide both sides by 27 , we get
or
That is , the constant of variation = 3
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The B option is correct.
<h2>Exponent</h2>Exponential notation is the form of mathematical shorthand which allows us to write complicated expressions more succinctly. An exponent is a number or letter is called the base. It indicates that the base is to raise to a certain power. X is the base and n is the power.
Given
A number is -906,060.
<h3>To find </h3>The equivalent number of the given number.
<h3>How to find the equivalent number of the given number?</h3>We know the number is -906,060.
It can be represented as .
Thus, the B option is correct.
More about the exponent link is given below.
Answer:
Widgets should be sold by $38.88 to maximize the profit.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
It's vertex is the point
In which
Where
If a<0, the vertex is a maximum point, that is, the maximum value happens at , and it's value is
.
In this question:
The profit is given by:
Which is a quadratic function with
The maximum profit happens at the x of the vertex. Thus
Widgets should be sold by $38.88 to maximize the profit.