As far as steps i’ll tell you in the comments
Answer:
- max for 5th-degree: 4 turns. This function: 2 turns.
- max for 7th-degree: 6 turns. This function: 0 turns.
Step-by-step explanation:
In general, the graph of an n-th degree function can make n-1 turns. However, in specific cases, the number of turns is limited by the number of real zero-crossings of the derivative.
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1. This 5th-degree function can have at most 4 turns. However, the derivative, f'(x) = 5x^4 -3, has only two (2) real zeros. Hence the graph of this function can only have 2 turns.
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2. This 7th-degree function can have at most 6 turns. However, the derivative, f'(x) = -7x^6 -35x^4-12x^2, has an even-multiplicity root at x=0 only. The derivative never crosses 0. Hence the graph makes no turns.
Answer:
(8, -2)
Step-by-step explanation:
It is reflected over the X axis
Because 8 is an x coordinate, it will not be changed. And because 2 is not an X coordinate it will be reversed, or turned to negative
Answer:
Length of rectangular lawn =72 meters
Breadth of rectangular lawn =18 meters
Perimeter of rectangle =2(Length+Breadth)
So, Perimeter of rectangle =2(72+18)=2(90)=180 meters
If three shrubs can be planted in a meter of hedge.
Then, Number of shrubs planted in whole perimeter will be=3×180=540
Step-by-step explanation:
We need to make a scale between blueprint and actual size. The trick in this question is to understand that the scale for the areas and the scale for the lengths are different.
Scale for area is given in the question as
1 unit on blueprint = 900 units in actual.
As the dining room is given to be rectangular we can find the scale for lengths by taking square root of scale for area.
√1 unit on blueprint = √900 units in actual
Therefore, scale for length= 1:30
Thus, by using the scale we can calculate actual length corresponding to 4 inches on blueprint by multiplying 4 with scale
4 inches×1/30=120inches
Answer = 120 inches
