Answer:
(-1, 2/3).
Step-by-step explanation:
Taking the derivative of f, we get f' = x^2 - 1 = 0. Thus, x = -1 and x = +1.
At the relative max, y = (1/3)(-1)^3 - (-1) = -1/3 + 1 = 2/3.
The relative maximum is at (-1, 2/3).
Answer:
<h3>(-4, 1)</h3>
Step-by-step explanation:
-x-3=y, therefore x = -y-3
-3x - 8y = 4
Find the value of y
Substitute the x in -3x - 8y = 4 with -y-3
We get
-3·(-y-3) - 8y = 4
3y + 9 - 8y = 4
-5y = 4-9
-5y = -5
<h3>y = 1</h3>
_______________
Find the value of x
x = -y-3
x = -1-3
<h3>x = -4</h3>
_______________
Answer (x, y) =
<h3>(-4, 1)</h3>
_____________________
#IndonesianPride - kexcvi
- Slope-Intercept Form: y = mx + b, with m = slope and b = y-intercept
- Slope Formula:
![\frac{y_2-y_1}{x_2-x_1}](https://tex.z-dn.net/?f=%5Cfrac%7By_2-y_1%7D%7Bx_2-x_1%7D)
So firstly, to find the slope of this equation, plug the two points, (1,1) and (-3,2), into the slope formula and solve as such:
![\frac{1-2}{1-(-3)}=-\frac{1}{4}](https://tex.z-dn.net/?f=%5Cfrac%7B1-2%7D%7B1-%28-3%29%7D%3D-%5Cfrac%7B1%7D%7B4%7D)
Next, plug either one of the points into the x and y coordinates to solve for b as such:
![2=-\frac{1}{4}*-3+b\\2=\frac{3}{4}+b\\\frac{5}{4}=b](https://tex.z-dn.net/?f=2%3D-%5Cfrac%7B1%7D%7B4%7D%2A-3%2Bb%5C%5C2%3D%5Cfrac%7B3%7D%7B4%7D%2Bb%5C%5C%5Cfrac%7B5%7D%7B4%7D%3Db)
<u>Our final equation is
, or the third option.</u>
If nCk represents the number of ways k parts can be chosen from a pool of n, the probability of interest is the complement of the probability of selecting all good parts.
1 - (167C3)/(170C3) = 42,085/804,440 ≈ 0.0523
_____
nCk = n!/(k!(n-k)!)