As x → −[infinity], y → ? As x → [infinity], y → ? Determine the end behavior for y = 8x^4 Determine the end behavior for y = -49 + 5x^4 + 3x Determine the end behavior for y = -x^5 + 5x^4 + 5
Answers
Problem 1
The end behavior of y = 8x^4 is:
In either case, y approaches positive infinity. This end behavior is the same as a parabola that opens upward. This applies to any even degree polynomial.
Informally we can describe the end behavior as: "Both endpoints rise up forever".
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Problem 2
The end behavior of y = -49 + 5x^4 + 3x is the exact same as problem 1. Why? Because the degree here is 4. The degree is the largest exponent.
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Problem 3
For this problem we have the polynomial y = -x^5 + 5x^4 + 5
This time the degree is 5, which is an odd number.
The end behavior would be
Informally, we can state the end behavior as "Rises to the left, falls to the right".
The endpoints go in opposite directions whenever the degree of the polynomial is odd. Think of a cubic graph. The "falls to the right" is due to the negative leading coefficient.
I strongly recommend using a TI83, TI84, Desmos, or GeoGebra to graph out each polynomial so you can see what the end behavior is doing.
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3(-X+4)=7x-8. Yeahhhh...
Can somebody please help me ASAP? It’s due today!! I will give brainliest if it’s correct Show work please
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Answer: the first box is 1/5 since one of 5 squares are shaded.
The next box the answer is “there are 4 groups 1/5.
The next answer is 4/5
The last answer is 4/5
Step-by-step explanation:
Answers
The greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 .
In an obtuse triangle, the longest side is opposite the obtuse angle. To determine the greatest possible value of x, we need to consider the triangle inequality theorem, which states that the sum of the lengths of any two sides of a triangle must be greater than the length of the third side.
In this case, the longest side measures 20 cm, and the two shorter sides are x cm and 3x cm. So, we have the following inequalities:
x + 3x > 20 (sum of the two shorter sides must be greater than the longest side)
20 + x > 3x (sum of the longest side and the shorter side must be greater than the other shorter side)
20 + 3x > x (sum of the longest side and the other shorter side must be greater than the remaining shorter side)
Let's solve these inequalities:
4x > 20
x > 5
20 + x > 3x
20 > 2x
10 > x
20 + 3x > x
20 > -2x
-10 < x
So, the greatest possible value of x is the largest value that satisfies all of these inequalities. The largest value of x that satisfies all three inequalities is 6.4 (rounded to the nearest tenth). Therefore, the greatest possible value of x is 6.4 cm.
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Answer:
7.1
Step-by-step explanation:
because pythagorean theorem
c² > a² + b²
20² > x² + 3x²
400 > 4x²
÷4 ÷4
100 > x²
10 > x 400 > 4(7.1)²
400 > 4(50.41)
400 > 201.64
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Answer:0
Step-by-step explanation:
baseball team. If there are 14 players on the baseball team and the hat order comes to a
total of $363, how much does each hat cost?
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Just tell me what to do
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Answer:
study lol
Step-by-step explanation: