The end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
The equation of the function is given as:
f(x) = 3x⁶ + 30x⁵ + 75x⁴
Next, we plot the graph of the function
From the attached graph, we have the following highlights:
Hence, the end behavior of the graph of the polynomial function f(x) = 3x⁶ + 30x⁵ + 75x⁴ is x -> +∞, y-->+∞ and x -> -∞, y->+∞
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Answer:
Step-by-step explanation:
Answer 1: The two events are Independent
Answer 2: In the given scenario, P(M and N) = P(M)*P(N)
a. 18
b. 22
c. -22
Answer: b. 22
Step-by-step explanation:
The slope of a line passing through two points A(a,b) and B(c,d) is given by:_
Let the missing coordinate of point R be y.
Then , the slope of the line passing through the points R(0,y) and (-4,2) will be :_
Hence, the missing coordinate of point R is y= 22
The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units, therefore, option (A) will be correct.
Let's consider we have two points (x₁, y₁) and (x₂, y₂) the distance between these two points is given by the formula;
The distance between with two points (x₁, y₁) and (x₂, y₂) is given as,
In option (A),
Points are (2,4) and (2,7).
The distance between them will be,
d = √(3²) = 3
Hence "The distance between (2,4) and (2,7) is 3 therefore, these two points have a distance of 3 units".
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Answer:
I think it's answer choice A!
Step-by-step explanation:
The reason why I think that it is A is because of the given y values. The x values are consistent through all of the given choices, but if graphed, there is a distance of three units between the y-value of 4 and the y-value of 7. I personally like to use Desmos when it comes to trying to get a visual graph of coordinates. I hope this at least helped a little!
0.2 kg
0.4 kg
0.5 kg