Using the quadratic equation formula:-
x = -0.5447270865 or x = 2.294727086
Symbols used to represent unspecified numbers or values.
6The line of best fit has the equation = -3 + 2.5x. What does this equation predict for a value of x = 3?Answer: 4.5
The range of a function is the set of all possible input values.
The lines are perpendicular, and intersect at the point (1.35, 3.55) .
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Strictly speaking the above equation is a tautological equation or an IDENTITY. An identity is true for all values of any variables that appear in it. Thus, the above "equation" is true for all value of x. - that is, it has infinitely many solutions.
pH (potential of hydrogen) is the term that best describes the measure of the acidity of a solution. It is a scale ranging from 0 to 14, with lower values indicating more acidic solutions, higher values indicating more basic solutions, and a pH of 7 being neutral.
Here are approximate values as of March 2012. Very worn condition:$51-$89 Moderately worn: $210-$276 Slightly worn: $373-$408 Almost no ware: $438-$498 Uncirculated: $570-$2,000 Note: These values are approximate from the best available sources. They WILL change over time.
The equation (3x + 8 = 3x - 5) has no solutions because when we attempt to isolate (x), we end up with a contradiction. Subtracting (3x) from both sides results in (8 = -5), which is not true. Since there are no values of (x) that can satisfy this equation, it has no solutions.
Estimates are never exact. They are a best guess at what the answer is. They are always going to be approximate.
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The equation (3x + 8 = 3x - 5) has no solutions because when you simplify it, you end up with (8 = -5), which is a contradiction. This means there are no values of (x) that can satisfy the equation, indicating that the two sides are never equal. Thus, the equation is inconsistent and has no solution.
An estimate is something when we cannot figure out a certain value EXACTLY, we took our best educated guess. In terms of Algebra, it is the orthogonal projection of a vector (whatever that means) In Calculus, it's the Linearization Lemma where we can approximate a function around x = a with the tangent passing through (a, f(a)) or a Taylor polynomial approximate a function's behaviour (i.e. it's values" or an Upper bound or lower bound of a sequence/function to approximate its convergence/limit if it exist.
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