If briana rounds 9.124 to the nearest hundredth, what digit will be in the hundredths place?
2 answers:
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Answer:
k = 5
Step-by-step explanation:
Calculate the slope m and then equate to 2
Calculate the slope m using the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (k, 3) and (x₂, y₂ ) = (6, k)
m = = 2 ( cross- multiply )
2(6 - k) = k - 3
12 - 2k = k - 3 ( subtract k from both sides )
12 - 3k = - 3 ( subtract 12 from both sides )
- 3k = - 15 ( divide both sides by - 3 )
k = 5
Since f(x) is a polynomial function and g(x) is an exponential function, we know that both the value and the rate of change of g(x) will exceed those of f(x) when x gets large.
The rate of change of g(x) is less than that of f(x) for x < 3.4. The value of g(x) is less than that of f(x) for x < 4.39. Of the statements offered, the only one that is true is ...
... As x increases, the rate of change of g exceeds the rate of change of f.
_____
In the attached graph, the functions are graphed as solid lines; their rates of change are graphed as dashed lines of the same color.
