I wish i could but i cant see it
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:
Step-by-step explanation:
The last one is also the answer
Using the rational exponet rule,
Using this number,
40 is the base so it will stay same. Remember this is a square root sign so our nth root is 2 so our denominator if the rational exponet is 2.
so our numerator is 1 so
8 cm and 9 cm is the correct answer
The given pyramid's total surface area is 3. 24.0 square feet.
Step-by-step explanation:
Step 1:
To calculate the surface area of the given figure, we need to find the surface areas of the different shapes in the figure.
There are 3 triangles and 1 square in the figure.
Step 2:
All the triangles are similar.
The surface area of a triangle =
The similar triangles have a base length of 3 feet and a height of 2.5 feet.
The surface area of 1 similar triangle = square feet.
The surface area for all the similar triangles = square feet.
Step 3:
The surface area of a square is the square of its side length. The square has a side length of 3 feet.
The surface area of the square = square feet.
Step 4:
To calculate the total surface area we sum up all the individual surface area.
The total surface area = square feet which is the third option.