Answer:
n=-10/3
Step-by-step explanation:
"Twice the difference of a number n and seven is equal to four less than the product of five and the number n" translates into 2(n-7) = 5n - 4. To solve, isolate the variable n.
2(n-7) = 5n - 4
2n - 14 = 5n - 4
2n - 10 = 5n
-10 = 3n
-10/3 = n
Answer:
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Step-by-step explanation:
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<h3>Answers:</h3>
- Part A) Solution is (-3,-3)
- Part B) Two solutions are (0,0) and (2,2)
- Part C) Solution is x = -6
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Explanation:
Part A
Ignore the g(x) curve. We're looking for the intersection of the p(x) and f(x) curves. The two cross at (-3,-3) which is the solution to the system of these two equations. This point is on both p(x) and f(x) simultaneously. That means the coordinates of the point satisfy both p(x) and f(x) equations simultaneously.
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Part B
Pick any two points you want from the f(x) curve. You could pick the solution we mentioned, but I'll go for (0,0) and (2,2). When talking about a single curve, it has infinitely many solutions (as long as you pick a point on the curve).
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Part C
Ignore the f(x) curve. The graphs of p(x) and g(x) intersect when x = -6, which is the solution to the equation p(x) = g(x). We're only concerned about the x coordinate of the intersection.
