A polynomial is defined as a collection of variables and constant terms combined by various mathematical operations. The exponents of the variables in a polynomials must be non-negative integers.
If you observe the given options, one of the option (option B) contains a negative exponent. Hence the expression in option B is not a polynomial.
Considering the linear function described, 500 liters of fuel were initially in the tank.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Researching this problem on the internet and looking at the graph, we have that when x = 0, y = 500, that is, the y-intercept is of 500. From the bullet points, the y-intercept is the initial value, hence 500 liters of fuel were initially in the tank.
More can be learned about linear functions at brainly.com/question/24808124
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6ax is a common factor, so divide top and bottom by 6ax:
(a-3x+7ax)/6ax.
Divide each of the terms in the numerator by the denominator:
1/6x-1/2a+7/6
1)-6/4x+4
2)-5/3x
3)3x+2
4)3/2x+3
5)0x-1
6)1/2x+2
7)3x+4
8)-1/3x
I added some guides for you to know how to do this.
Step-by-step explanation:
- Set up equation as we know both weights are equal.
- Subtract two from both sides and divide by 2 to isolate the variable a.
- 3 = a
