Answer:
its D
Step-by-step explanation:
Answer:
The correct option is:
h = 1, k = 16
Step-by-step explanation:
y=4x^2-8x+20 =0
It is a quadratic formula in standard form:
ax^2+bx+c
where a = 4 , b = -8 and c=20
The vertex form is:
a(x − h)2 + k = 0
h is the axis of symmetry and (h,k) is the vertex.
Calculate h according to the following formula:
h = -b/2a
h= -(-8)/2(4)
h = 8/8
h = 1
Substitute k for y and insert the value of h for x in the standard form:
ax^2+bx+c
k = 4(1)^2+(-8)(1)+20
k = 4-8+20
k=-4+20
k = 16
Thus the correct option is h=1, k=16....
3 7/8 Converted into decimal equals 3.875
7/8 = 0.875 + 3
I hope you can read cursive! And I hope this helps! (:
Answer:
#15: 1/5 (x^2 - x - 3)^5
#18: 5 (3x^2 - 6x + 1)^5
Step-by-step explanation:
#15
(2x-1)(x^2-x+3)^4
Chain Rule!!!
g'(x)f'(g(x)) = d/dx(f(g(x)) = (f ⚬ g)'(x)
f'(x) = x^4
g(x) = x^2 - x - 3
g'(x) = 2x - 1
So we only have to integrate x^4 gives 1/5 x^5
f(x) = 1/5 x^5
f(g(x)) = (f ⚬ g)(x) = 1/5 (x^2 - x - 3)^5
#18
150(x-1)(3x^2-6x+1)^4
Chain rule again!! In disguise.
f'(x) = x^4
f(x) = 1/5 x^5
g(x) = 3x^2-6x+1
g'(x) = 6x - 6 = 6(x-1)
150(x-1) = 25 g'(x)
25 g'(x)f'(g(x)) = 25 (f ⚬ g)(x) = 5(3x^2-6x+1)^5
