A function behaving as you state is a linear function, which means that the output varies directly with the input.
So, there exists some constant 
such that your function is in the form
In fact, if you double the input, you have
And similarly
Note that this is a guess, it may happen that output doubles (triples) if you double (triple) the input, and still the function is not like 
.
For example, the function
is such that
So, it may seems that doubling and tripling the input doubles and triples the output, but this is not true for every input, for example,
And so doubling the input didn't double the output.
Answer:x=9
Step-by-step explanation:
To find the positive solution for this, then we will say;
Let the number be x
3x<x^2-54
x^2-3x-54<0
Then we are going to factorise
x^2-9x+6x-54=0
(x^2-9x)+(6x-54)=0
x(x-9)+6(x-9)=0
(x+6)(x-9)=0
Therefore, The positive solution for this is: x=9
Answer:
81
Step-by-step explanation:
uhm..... 9 times 9 is 81
have a nice day....?
<u>Solution</u>:
The <em>multiplicative inverse</em> of (-2) is -1/2 <em>{Reciprocal}</em>.
The <em>additive inverse</em> of (-2) is 2.
Answer:
f(x) = 0.5x + 5
Domain: positive whole numbers
Range: f(x) ≥ 5
Step-by-step explanation:
Let's x denote the total number of fruit juice.
This means that if $0.5 for each fruit juice, then the total cost incurred for fruit juice would be $0.5x.
Since she incurred a cost of $5 for 100 cups and $0.5 for each fruit juice, then the total cost, f(x), would be:
f(x) = 0.5x + 5
The domain would be all positive whole numbers (it is restricted to positive whole numbers because a fruit juice can't be "negative" neither can it be "half").
The range is all numbers equal or greater than 5. This is because, even if she does not eventually get fruit juice, she will still incur a cost of 5usd for cups.
