Answer:
Step-by-step explanation:
Let x represent the numerator and y represent the denominator.
The numerator of a rational number is greater than its denominator by 3. It means that
x = y + 3
If the new number becomes 13/4 when the numerator is tripled and the denominator is decreased by 23, it means that
3x/(y - 23) = 13/4
Cross multiplying, it becomes
3x × 4 = 13(y - 23)
12x = 13y - 299- - - - - - - - - - -1
Substituting x = y + 3 into equation 1, it becomes
12(y + 3) = 13y - 299
12y + 36 = 13y - 299
13y - 12y = 36 + 299
y = 335
x = y + 3 = 335 + 3
x = 338
The original number is 338/335
Answer:
slope: 2/3 intercept is -3
Step-by-step explanation:
Answer: $67.20
Step-by-step explanation:
56 × 0.2 = 11.2
11.2 + 56 = $67.20
The graphs of f and g intersect at x = 1, not x = -1.
g(x) is greater than f(x) for x < 1.
g(x) cannot be less than 1, as the graph flattens out at y = 1.
Based on the information given by the graph, the answer is "As the value of x increases, the value of g(x) will eventually exceed the value of f(x)".
