Let x = Craig's time
Let y = Tom's time
Create a system of equations to solve this problem.
8 = x + y
y = 4x
Substitute 4x into the y variable in the first equation.
8 = x + 4x. Combine like terms
8 = 5x. Divide each side by 5.
1.6 = x
Craig takes 1.6 hours to clean the house
The remainder would be 246.78
76 255/ 309 = 246.7799
(Rounding involved at top btw)
Answer:
C) -8cos 3xsin x
Step-by-step explanation:
To express -4(sin4x - sin2x) as a product, we use the formula sinA - sinB = 2cos[(A + B)/2]sin[(A - B)/2.
Comparing sin4x - sin2x with sinA - sinB, A = 4x and B = 2x.
Substituting these into the equation, we have
sin4x - sin2x = 2cos[(4x + 2x)/2]sin[(4x - 2x)/2
sin4x - sin2 x = 2cos[6x/2]sin[2x/2]
sin4x - sin2x = 2cos3xsinx
So, -4(sin4x - sin2x) = -4(2cos3xsinx) = -8cos3xsinx
So, -4(sin4x - sin2x) = -8cos3xsinx
Thus, the answer is C
Answer:
4) add the equations to eliminate x
Step-by-step explanation:
After adding the equations then you can use the value you found for y to substitute back into one of the equations in order to find x
X^4=256
x^4-256=0
(x^2)^2-(16)^2=0
(x^2+16)(x^2-16)=0
either x^2+16=0
it gives complex roots.
or x^2-16=0
or x^2-4^2=0
(x+4)(x-4)=0
either x+4=0,x=-4
or x-4=0
x=4
