Take the equation: y = 520 + 14x and put each value from the table in for x and y.
100 = 520 + 14 * -30
100 = 520 + -420
100 = 100 When we get an answer like this where the numbers on both sides of the equation match, we know that this (x,y) point is a part of the solution to the function.
So, you would work through each line in the table. If they are all like the one above, the answer is Yes. If not, it is no.
the awser is (-2)(8 + 6) + (-3)
cos4x = cos2x
We know that:
cos2x = 1-2cos^2 x
==> cos4x = 1-2cos^2 (2x)
Now substitute:
==> 1-2cos^2 (2x) = cos2x
==> 2cos^2 (2x) + cos2x - 1 = 0
Now factor:
==> (2cos2x -1)(cos2x + 1) = 0
==> 2cos2x -1 = 0 ==> cos2x =1/2 ==> 2x= pi/3
==> x1= pi/6 , 7pi/6
==> x1= pi/6 + 2npi
==> x2= 7pi/6 + 2npi
==> cos2x = -1 ==> 2x= pi ==> x3 = pi/2 + 2npi.
<span>==> x= { pi/6+2npi, 7pi/6+2npi, pi/2+2npi}</span>
Answer:
x = - 10
Step-by-step explanation:
Answer:
-12
Step-by-step explanation:
Convert the mixed number to an improper fraction.
-2
= 
To divide, just multiply by the reciprocal.
So -2 ÷ 
becomes ÷
Now you can multiply straight across.
× 
= 
And simplify.
= -12
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