Answer:
45.2
Step-by-step explanation:
the tenths is the first number to the right after the decimal
Answer:
y intercept equals 1
Step-by-step explanation:
y= -1/2x+1
the slope is -1/2
the y intercept is 1
![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
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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
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is always positive for
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. That means at
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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
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is increasing in its entire domain, so the maximum value is at the right endpoint of the interval.
Answer:
3.84 * 10^0
Step-by-step explanation
Given the following values;
a = 4.8 × 104 and that b = 8 × 10−3
We are to find the product ab
ab = (4.8 × 10^4)(8 × 10^−3)
ab = (4.8*8)(10^4 * 10^-3)
ab = 38.4 * 10^(4-3)
ab = 38.4 * 10^-1
ab = 3.84 * 10 * 10^-1
ab = 3.84* 10^0
<em>Hence the product in standard form is expressed as 3.84 * 10^0</em>
The second side of a triangular deck is 4 feet longer than the shortest side
(s+4) = the 2nd side
and a third side that is 4 feet shorter than twice the length of the shortest side.
(2s-4) = the 3rd side
If the perimeter of the deck is 48 feet, what are the lengths of the three sides?
s + (s+4) + (2s-4) = 48
Combine like terms
s + s + 2s + 4 - 4 = 48
4s = 48
s = 48/4
s = 12 ft is the shortest side
I'll let you find the 2nd and 3rd sides, ensure they add up to 48
Hope this helps!