<span>Leah, Let x=Blair's fish and 2x= Jay's fish; yet together they caught 27 fish. So, x + 2x=27; Combine the like terms. So, 3x=27; Now divide both sides of the equation by 3, therefore, x=9 which is the amt of fish Blair caught. So, 2(9)=18 is the amt of fish Jay caught. Check: 9 +2(9)=27; 27=27.</span>
Answer:
Step-by-step explanation:
m = 4
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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Answer:
If one is larger, there will be less stress on the middle of the object
Step-by-step explanation: