If the equation is

then rewrite the equation as

Divide boths sides by 7:

Since
, we can factorize this as

Now solve for <em>x </em>:



where <em>n</em> is any integer.
If you meant sin(2<em>x</em>) instead, I'm not sure there's a simple way to get a solution...
Answer:
4 1/12
Step-by-step explanation:
Step-by-step explanation:
The largest rational number that you can form is the one that has the largest natural number as numerator and the smallest natural number as denominator.
That would be 844/271.
Answer:
The first option is greater. The second option is more. The third option is 50%.
Step-by-step explanation:
Flipping a coin heads or tails expected probability is 50%. The more trials there are, the more accurate the actual probability will be.
Hope this helps!
Consider the two functions as
<span>y1(x) =3x^2 - 5x,
y2(x) = 2x^2 - x - c
The higher the value of c, father apart the two equations will be.
They will touch when the difference, i.e. y1(x)-y2(x)=x^2-4*x+c has a discriminant of 0.
This happens when D=((-4)^2-4c)=0, or when c=4.
(a)
So when c=4, the two equations will barely touch, giving a single solution, or coincident roots.
(b)
when c is greater than 4, the two curves are farther apart, thus there will be no (real) solution.
(c)
when c<4, then the two curves will cross at more than one location, giving two distinct solutions.
It will be more obvious if you plot the two curves in a graphics calculator using c=3,4, and 5.
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