What is the end behavior of the graph of the polynomial function f(x) = 3x + 30x + 75x4?
1 answer:
<h3>Answer: As 
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Basically, whether x goes to positive or negative infinity, the value of y will head off to positive infinity.
Why is this? It's all because of the leading term 75x^4. This is the term with the largest exponent, so the degree is 4. Even degree functions have the endpoints pointing in the same direction. In this case, that direction is up or pointing along the positive y axis direction. If the leading coefficient was negative, then y would head off to negative infinity instead of positive infinity.
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Answer:
The lateral area of the pipe is 942 sq ft.
Step-by-step explanation:
A pipe can be modeled as a cylinder prism.
The lateral area of a cylinder prism can be expressed as the product of the length by the perimeter of the section.
We start by calculating this perimeter.
As the diameter is 25 ft, the perimeter of the section can be expressed as:
Then, to know the lateral surface we multiply this perimeter by the length of the pipe (12 ft):
The lateral area of the pipe is 942 sq ft.
Since there are 5 choices and there are 10 possible digits for each digit of the PIN( 0, 1, 2, 3, 4, 5, 6, 7, 8, 9)
The total value possible 5 pins are 10⁵ = 100000
Using permutation, since 5 numbers are selected without repetition:
The probability that no numbers are repeated is= 30240/ 100000
≈ 0.302