Answer:
The most simple method for solving systems of equations is to transform one of the equations so it allows for the canceling out of a variable. In this case, we can multiply \displaystyle 3x + y = 8 by to get . Then, we can add \displaystyle 2x + 4y = 12 to this equation to yield , so .
Step-by-step explanation:
The graph that models the pH of this solution is graph A.
<h3>What is a graph?</h3>
It should be noted that a graph is a diagram such as a series of one or more points, lines, line segments, curves, or areas which represents the variation of a variable in comparison with that of one or more other variables.
The pH is a measure of how acidic or basic water is. It should be noted that the range goes from 0 - 14, with 7 being neutral. The pHs of less than 7 indicate acidity, while a pH of greater than 7 indicates a base. The pH is really a measure of the relative amount of free hydrogen and hydroxyl ions that are in the water.
In this case, x represents the concentration of the hydrogen ions. The first graph illustrates this.
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<u>Complete question:</u>
The ph of a particular solution is given by pH=-log(x-2) where x represents the concentration of the hydrogen ions in the solution in moles per liter. Which graph models the ph of this solution?
Answer:
(-2, 6.5)
Step-by-step explanation:
Wayne can follow the line from (-2, 0) up to where it crosses the graphed line. The crossing point is approximately halfway between 6 and 7 on the graph, so can be considered to be 6.5.
If we put x=-2 into the equation and evaluate, we get ...
... y = (-3/4)(-2) +5 = 6/4 +5 = (1 1/2) +5 = 6 1/2
Thus the solution is (-2, 6 1/2).
You take the amount paid and divide it by the amount of cheese. So 10.50 divided by 2.5 equals 4.2 and 12.60 divided by 3 equals 4.2 meaning that one pound of cheese costs $4.20