The domain and range is [-4, 4] and [0, 4]
<h3 /><h3>What is Domain and range?</h3>
The domain of a function is the set of values that we are allowed to plug into our function.
The range of a function is the set of values that the function assumes.
x² + y² = 16
y = √16 - x²
For domain under root should not be negative quantity,
16 - x²≥0
16≥x²
So, x≤4 or x≥4
Thus, the domain is [-4, 4]
Range:
y is maximum at x=0, y=4
y is minimum at x=4, y=0
Thus, range = [0, 4]
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Answer:
42$
Step-by-step explanation:
The person pays 33$ for a membership,and then visits the museum 9 times.So 33+(9*1)=42
Answer:
50 days
Step-by-step explanation:
Step one:'
given data
Non member must pay a 6$ per day
let number of days be x
cost = 6x
member of the club pay 1$ but must pay a yearly membership fee of 250
cost = 250+x
Step two
equate the two expression to find x
6x=250+x
6x-x= 250
5x=250
divide both sides by 5
x= 250/5
x=50 days
When finding zeros, the function has to equal zero. In other words, G(x) = 0.
For three multiplied parts to equal to zero, at least one has to be zero. -2 ≠ 0, but (x+1) or (x+7) can.
So you can equate each of those to zero and find out what the zeros are.
x+1=0
x=-1
x+7=0
x=-7
Thus the answer
x = -1 or -7
Answer:
She used inductive reasoning. (False)
She used the law of detachment. (True)
Her conclusion is valid. (True)
The statements can be represented as "if p, then q and if q, then r." (False)
Her conclusion is true. (True)
Step-by-step explanation:
p = Two lines are perpendicular
q = They intersect at Right angles.
Given: A and B are perpendicular
Conclusion: A and B intersect at right angle.
According to the law of detachment, There are two premises (statements that are accepted as true) and a conclusion. They must follow the pattern as shown below.
Statement 1: If p, then q.
Statement 2: p
Conclusion: q
In our case the pattern is followed. The truth of the premises logically guarantees the truth of the conclusion. So her conclusion is true and valid.
