Please type this as 2(sin 2x)^2=2 <span>2sin^2 2x=2 is confusing.
Reducing this expression: (sin 2x)^2 = 1
Taking the sqrt of both sides, sin 2x = plus or minus 1
If sin 2x = 1, then 2x must be pi/2 or 3pi/2, and so x must be pi/4 or 3pi/4.
Now you do this for sin 2x = -1.</span>
Answer:
1.25kg
Step-by-step explanation:
useing the problem the half life equation will be:
f(x)=5(0.5)^(x/140)
x is amount of days
so plugging in 280 for x will get 1.25kg
The number of positive roots is the number of changes of signs there are, then decrease by 2 each time and stop when you get to 1 or 0
negative roots, sub every x with -x and reevaluate, count change of signs
decrease by 2 each time and stop when you get to 1 or 0
y=+2x⁵-x⁴-2x³+4x²+x-2
+,-,-,+,+,-
1 2 3
3 or 1 positive roots
replace x with -x ( baically flip all signs of odd powerd numbers)
y=-2x⁵-x⁴+2x³+4x²-x-2
-,-,+,+,-,-
1 2
2 or 0 negative roots
3 or 1 positive roots
2 or 0 negative roots
2nd option is answer
Answer:
A,D,C
Step-by-step explanation:
add 4 each time
the nth term is a_n or f(n)
the next term after that is a_{n+1} or f(n+1)
so each term is 4 more than previous
basically
a_{n+1}=4+a_n or
f(n+1)=4+f(n)
same thing
