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).
To know more about Slope follow
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Answer:
C
Step-by-step explanation:
3(3 + x) = 15 + x
Open bracket
9 + 3x = 15 + x
Collecting like terms
3x - x = 15 - 9
2x = 6
Dividing by 2
x = 6/2
x = 3
Answer:
3:20
Step-by-step explanation:
4:25-15= 4:10
4:10-20=3:50
3:50-30=3:20
School ended at 3:20
The answer is D, here’s why:
You know the slope-intercept form is y=mx+b
mx being the slope and b being the y-intercept.
y=-4/7x + 9 is already in that form.
A is not the answer because the y is supposed to be by itself.
B is not the answer because again, the y is not by itself.
C is not the answer because the y is also not by itself.
In the slope-intercept form, the y must be by itself and the slope (mx) and the y-intercept must be on the other side.
Hope this helps.
