A polynomial is to be constructed that will touch the x axis at most 7 times. What is the minimum degree of the polynomial ?
1 answer:
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Answer:
Final answer is .
Step-by-step explanation:
Given that P(A)= .50, P(B)=.80 , and P(A and B)=.20.
Now we need to find about what is the value of P(B/A).
So apply the formula of compound probability :
P(A and B) = P(A)*P(B/A)
Plug the given values into above formula
0.20 = 0.50*P(B/A)
0.50*P(B/A) = 0.20
Hence final answer is .
Answer : option B
Parent Graph f(x) = is attached below
We analyze each option
A) f(x − 2) --> x - 2 shifts the graph 2 units to the right
B) f(x + 2) --> x + 2 shifts the graph 2 units to the left
C) f(x) − 2 --> f(x) - 2 shifts the graph 2 units down
D) f(x) + 2 --> f(x) + 2 shifts the graph 2 units up
In the graph of f(x)= , the x intercept at x=1
From the graph attached in the question, the x intercept at x=-1
Its means the parent graph is shifted 2 units to the left.
Option B: f(x + 2) --> x + 2 shifts the graph 2 units to the left
Answer:
- ∠CDE ↔ 50°
- ∠FEG ↔ 75°
- ∠ACB ↔ 55°
Step-by-step explanation:
To solve angle problems like this, you make use of three relations:
- linear angles have a sum of 180°
- angles in a triangle have a sum of 180°
- vertical angles have the same measure
The attached diagram shows the measures of all of the angles of interest in the figure. The ones shown in blue are the ones that have the measures and names on the list of answer choices.
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A good place to start is with the linear angle pair at A. Since the sum of the two angles is 180°, the angle at A that is inside the triangle will be ...
180° -130° = 50°
Then the missing angle in that triangle at C will have the measure that makes the sum of triangle angles be 180°:
∠ACB = 180° -50° -75° = 55° . . . . . this is one of the angles on your list
Similarly, the angle at E inside triangle FEG will have a measure that makes those angles have a sum of 180°:
∠FEG = 180° -60° -45° = 75° . . . . . this is one of the angles on your list
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The two angles whose measures we just found are vertical angles with the base angles in triangle CDE, so that triangle's angle D will have a measure that makes the total be 180°.
∠CDE = 180° -55° -75° = 50° . . . . . this is one of the angles on your list
