f(x) = 1/12 (x − 5)2 + 2
f(x) = −1/12 (x + 5)2 + 2
f(x) = 1/12 (x + 5)2 + 2
The linear equation that represents the relationship between the variables in the given chart is y = 7x. This is because for every increase of 1 in the x-variable, the y-variable increases by 7, indicating a linear relationship.
The type of equation that shows the relationship between the variables in the chart with x: 1,2,3,4,5 and y: 7,14,21,28,35 is a linear equation. In this case, for every increase of 1 in the x-variable, the y-variable increases by 7. This indicates a direct relationship.
The equation can therefore be presented in the form y = mx + b where 'm' represents the slope of the line (the amount y changes for each unit increase in x), and 'b' represents the y-intercept (the value of y when x = 0).
In this case, the y increases by 7 for each 1 increase in x, therefore m = 7. As the series starts from 7 when x = 1 (not 0), the y-intercept is 0 (since there is no decrease by going back to x = 0), therefore b = 0. This leaves us with the equation y = 7x + 0 which simplifies to y = 7x.
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The expression that is not a polynomial is
A polynomial function is a function that is made up of non-zero coefficients, positive exponents, and constants.
Types of polynomials
1. Linear polynomial function: it is made up of one variable raised to the power of 1.
An example is y + 10
2. Quadratic polynomial function - it is made up of a variable that is raised to the power of two.
An example is x² + 10x + 25
3. Cubic polynomial function: a single power is raised to the power of three.
An example is 124y³ + y²
The following are not polynomials:
To learn more about polynomials, please check: brainly.com/question/23792383?referrer=searchResults
Answer:
A
Step-by-step explanation:
The rules of exponents say that a polynomial CAN'T have a variable as a denominator. Option A violates that rule, since it has x + 3 as a denominator.