The interval for which the average rate of change of f(x) is negative is; from x = 0 to x = 2.5.
For the average rate of change of f(x) to be negative, it means that the change in y and the change in x must have opposite signs.
For example, if the change in y is negative, them the change in x must be positive.
Similarly, if the change in y is positive, then change in x must be negative.
Now, the graph showing this quadratic function is missing and so i have attached it.
From the graph, the only interval at which the rate of change for y and x have opposite signs is from x = 0 to x = 2.5.
In this interval, we see that x is increasing from 0 to 2.5 which is positive change while y is decreasing from 1 to -3 which is negative change.
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Answer:
Step-by-step explanation:
Hello there!
The first thing we want to do is find the measure of the large leg
To do so we use the Pythagorean theorem which says 
where a and b are legs and c is the hypotenuse
we want to find b given the hypotenuse and short leg
so 
all we have to do is plug in a ( a = short leg so a would equal 12) and c ( c = hypotenuse so c would equal 37)
so
so the longer leg is equal to 35
35=5x
divide each side by 5
5x/5=x
35/5=7
we're left with x=7
Answer:
Jade has 9 cars
Step-by-step explanation:
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Answer:
- left 1 unit
- down 2 units
Step-by-step explanation:
The transformation g(x) = f(x -h) +k is a translation of f(x) to the right by h units and up k units.
1. h = -1, so the graph of g(x) is the graph of f(x) shifted left 1 unit. (blue)
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2. k = -2, so the graph of g(x) is the graph of f(x) shifted down 2 units. (green)
