The answers will be:
- (4, 5)
- remain constant and increase
- g(x) exceeds the value of f(x)
<h3>What is Slope and curve?</h3>
a) The slope of the curve g(x) roughly matches that of f(x) at about x=4. Above that point, the curve g(x) is steeper than f(x), so its average rate of change will exceed that of f(x). An appropriate choice of interval is (4, 5).
b) As x increases, the slope of f(x) remains constant (equal to 4). The slope of g(x) keeps increasing as x increases. An appropriate choice of rate of change descriptors is (remain constant and increase).
c) The curves are not shown in the problem statement for x = 8. The graph below shows that g(x) has already exceeded f(x) by x=7. It remains higher than f(x) for all values of x more than that. We can also evaluate the functions to see which is greater:
f(8) = 4·8 +3 = 35
g(8) = (5/3)^8 ≈ 59.54 . . . . this is greater than 35
g(8) > f(8)
d) Realizing that an exponential function with a base greater than 1 will have increasing slope throughout its domain, it seems reasonable to speculate that it will always eventually exceed any linear function (or any polynomial function, for that matter).
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1) + $12, since it is a profit
2) -1440 ft, since it is below the sea level
3) - 22°F, since it is below
4) + 31 yards, since it is a gain.
Answer:
D
Step-by-step explanation:
Simplify:
Rewrite in the form 
:
Add 
to both sides:
or 
x = -4±
x= -4±
Answer:
Step-by-step explanation:
x−log(48)+3(log(2))=
1
3
(log(125))−log(3)
Simplifies to:
x−0.778151=0.221849
Let's solve your equation step-by-step.
x−0.778151=0.221849
Step 1: Add 0.778151 to both sides.
x−0.778151+0.778151=0.221849+0.778151
x=1
Answer:
x=1
