Answer:
(-5, 50) and (-1/3, -0.815)
Step-by-step explanation:
The equation is;
y = x³ + 8x² + 5x
Now the turning point will occur at where dy/dx = 0.
Thus;
dy/dx = 3x² + 16x + 5
At dy/dx = 0, we have;
3x² + 16x + 5 = 0
From quadratic formula, we can get;
x = -5 or -⅓
Thus, let's find y at this points.
y = -5³ + 8(-5)² + 5(-5)
y = -125 + 200 - 25
y = 50
Also,at x = -⅓, we have;.
y = (-⅓)³ + 8(-⅓)² + 5(-⅓)
y = -1/27 + 8/9 - 5/3
y = -0.815
Thus,the coordinates of the turning points are;
(-5, 50) and (-1/3, -0.815)
Solution:
As given , g(x)= f(x) + k --------(1)
As also given : f(x) = 
(x+2)
g(x) = (x+5)
Putting the value of f(x) and g(x) in equation (1).
→ (x+5) = (x+2) + k
→ ![\frac{1}{3}[x+5-x-2]](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Bx%2B5-x-2%5D)
= k
→ k = 
So , the value of k is 1.
Answer:
3:12, 5:50, 7:14, 11:22
Step-by-step explanation:
All these numbers are multiples of each other. They are also divisible by each other. 12 is divisible by 3, 50 is divisible by 5, 14 is divisible by 7, and 22 is divisible by 11.
Hope this helps.
A^2 + b^2= c^2
(a,b,c are right triangle sides)
2.36=2 36/100 turn into a fraction
2 36/100= 2 9/25 simplify (I divided by 4)
check if you can simplify again, if you can then do it, if you cant then thats your answer
So, the answer is 2 9/25
