55.
The only type of line with undefined slope is a vertical line.
In a vertical line, all points have the same x-coordinate.
The general equation of a vertical line is x = k, where k is the x-coordinate of all points on the line. If you are given one point, then you know the x-coordinate of that point, but since all points have the same x-coordinate, you also know the x-coordinate of all points.
Equation is: x = -6
56.
Same explanation as above.
x = 2
![y=x^5-3\\ y'=5x^4\\\\ 5x^4=0\\ x=0\\ 0\in [-2,1]\\\\ y''=20x^3\\\\ y''(0)=20\cdot0^3=0](https://tex.z-dn.net/?f=y%3Dx%5E5-3%5C%5C%20y%27%3D5x%5E4%5C%5C%5C%5C%205x%5E4%3D0%5C%5C%20x%3D0%5C%5C%200%5Cin%20%5B-2%2C1%5D%5C%5C%5C%5C%20y%27%27%3D20x%5E3%5C%5C%5C%5C%0Ay%27%27%280%29%3D20%5Ccdot0%5E3%3D0)
The value of the second derivative for
is neither positive nor negative, so you can't tell whether this point is a minimum or a maximum. You need to check the values of the first derivative around the point.
But the value of
is always positive for
. That means at
there's neither minimum nor maximum.
The maximum must be then at either of the endpoints of the interval
![[-2,1]](https://tex.z-dn.net/?f=%5B-2%2C1%5D)
.
The function
is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Answer:
The measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
Step-by-step explanation:
Given that,
∠AOC = 31°
∠BOC = 2x+10
∠AOB = 4x-15
As we can seen from the figure that,
∠AOC = ∠AOB + ∠BOC
Put all the values,
31 = 4x-15+2x+10
31 = 6x-15
31+15 = 6x
46 = 6x
x = 7.7
∠BOC = 2(7.7)+10 = 25.4°
∠AOB = 4(7.7)-15 = 15.8°
So, the measures of ∠BOC is 25.4° and that of ∠AOB is 15.8°.
The percentage that the number of airlines with an average airplane age of 14 is less than the number of airlines with an average airplane age of 11 is:
B. 20%.
<h3>What is a percentage?</h3>
The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:
The percentage of airlines with an average age of 14 years is:
The percentage of airlines with an average age of 11 years is:
The difference is:
33.33% - 13.33% = 20%.
Hence option B is correct.
More can be learned about percentages at brainly.com/question/10491646
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Answer:
Cells create usable energy through Cellular Respiration.
Step-by-step explanation:
If you think about it, cellular respiration is the way cells make their food, or usable energy. Therefore, the answer would be up above-------------------------^^
