The term 'rate of change' refers to the slope of the line that connects the two points of the line. If coordinates of any two points of a line are given, then the rate of change is the ratio of the change in the y-coordinates to the change in the x-coordinates.
When you calculate the average rate of change of a function, you are finding the slope of the secant line between the two points. f(x) = x2 and f(x + h) = (x + h)2 Therefore, the slope of the secant line between any two points on this function is 2x + h.
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Answer: x=7/5 or 1 2/5
Step-by-step explanation:
Given
x+3/5=2
Subtract 3/5 on both sides
x+3/5-3/5=2-3/5
x=10/5-3/5 (This is to convert 2, as a integer, to a fraction in order to ease the
x=7/5 operation)
Answer: The original cost is $65,000
Step-by-step explanation:We know that 66,300 is the cost after a 2% increase, and that means 66,300 is 102% of the original cost. Set up something like this:
102/100 = 66,300/?
The numerator represents the new cost and the denominator represents the original cost. The ? is the unknown, the original cost that we are looking for. Use equivalent fractions to solve for the unknown. After cross multiplying, you will find that ?=65,000.
Answer:
Yes, 1/2 is a irrational number
Step-by-step explanation:
This is the answer because (Google research):
A number is rational if we can write it as a fraction where the numerator and denominator are both integers. However, numbers like 1/2, 46485928/2628242, and -3/7 are also rational, since they are fractions whose numerator and denominator are integers.
Hope this helps!