Answer:
C. Solving this equation results in the statement -48 = 48. Because this is a false statement, the equation has no solution.
Step-by-step explanation:
8(3x - 6) = 6(4x + 8)
24x - 48 = 24x + 48
minus 24x from both sides and you get -48 = 48
A false statement means one side does not equal the other. False statement always means no solution
you can solve this equation for x, but looking at the answers it's not what the question is asking for
Subtract both sides from 6x, leaving you with the equation:
-2y=-6x+12
Now, you divide all of the sides by -2, therefore leabing you with the equation:
y=3x-6
Answer: x = pi/6 and x = pi/3.
Step-by-step explanation:
We have the function:
y = x + 2*cos(x)
It will have a horizontal tangent at the point where it's derivate is equal to zero.
Then first let's differentiate y.
y' = dy/dx = 1 - 2*sin(x).
Then we must find the value of x between 0 and 2*pi (or 0° and 360°)
y'(x) = 1 - 2*sin(x) = 0.
Let's solve that:
2*sin(x) = 1
sin(x) = 1/2.
We know that:
sin(30°) = 1/2.
and
Sin(120°) = 1/2
Then let's convert 30° into radians.
We know that:
pi = 180°.
Then:
pi/180° = 1.
30° = 30°*(pi/180°) = (30°/180°)*pi = (3/18)*pi = pi/6
120° = (120°/180°)*pi = (12/18)*pi = (1/3)*pi = pi/3.
Then the two values of x are: pi/6 and pi/3.
Combine the k’s 17k
Combine the m’s -8m
Combine the n’s 12n
17k-8m+12n
Answer:
92000
Step-by-step explanation:
2119 is less then 500
