(x+2)(x+8)(x+k)=x^3+9x^2+6x-16
(x^2+10x+16)(x+k)=x^3+9x^2+6x-16
x^3+10x^2+16x+kx^2+10kx+16k=x^3+9x^2+6x-16
kx^2+10kx+16k=-x^2-10x-16
k(x^2+10x+16)=-x^2-10x-16
k=(-x^2-10x-16)/(x^2+10x+16)
k=-1
so the width is (x-1)
Kindly refer to attachment for solution.
Hope it helps ^_^
Answer:
2,48,000
Step-by-step explanation:
- Initial population of bacteria = 15,500
- Bacteria doubles after every 234 hours
- So, after 0 (zero) hours, no of bacteria = 15,500
- After 234 hours, no. of bacteria = 2(15,500) = 31,000
- After 468 hours, no. of bacteria = 2(31,000) = 62,000 (2*234 = 468)
- After 702 hours, no. of bacteria = 2(62,000) = 124,000 (3*234 = 702)
- After 936 hours, no. of bacteria = 2(124000) = 2,48,000 (4*234 = 936)
Answer:
4805=32×150 +5
Step-by-step explanation:
Dividend = Divisor × Quotient + Remainder
Here
Divisor is 32
Quotient is 150 and remainder is 5
d)
Product rule:
Chain and power rules:
Power rule:
Now simplify.
e)
Quotient rule:
Power rule:
Now simplify.
f)
Chain rule:
We can further simplify this to
using the double angle identity for sine.