Answer: run it through an a p p called ma th way, it is the best
Step-by-step explanation:
Answer:
45 to 18 it's easy
Step-by-step explanation:
subtract 18 from 63 and there is your ratio
35.
6x=4x+16 (they are vertical angles
2x=16
x=8
4(8)+16+11y=180 (they form a straight angle together)
32+16+11y=180
48+11y=180
11y=132
y=12
36.
7x=56 (vertical angles are equivalent)
x=8
56+y+2(8)=180 (these three angles form a straight angle)
56+y+16=180
72+y=180
y=108
Hope this helps!
Answer:
The critical points of the function
f(x) = 2x(4 - x)³
are x = (1, 4)
Step-by-step explanation:
Given the function
f(x) = 2x(4 - x)³
To find the critical points, we differentiate f(x) to obtain f'(x), and then find the zeros of the resulting quadratic function.
Now, differentiate f(x).
f'(x) = 2(4 - x)³ + 2x(-1)×3(4 - x)²
= 2(4 - x)³ - 6x(4 - x)²
= 2(4 - x)²(4 - x- 3x)
= 2(4 - x)²(4 - 4x)
f'(x) = 8(4 - x)²(1 - x)
Now we set f'(x) = 0 and solve
8(4 - x)²(1 - x) = 0
=> 8(1 - x) = 0
=> 1 - x = 0
=> x = 1
Or
(4 - x)² = 0
x = 4 twice.
So x = (1, 4)
Therefore, the critical points are x = (1, 4)