60 degree difference between the two
Answer:
f(x) x^3 - 2x^2 + 5x + 12
Step-by-step explanation:
Next time please share the goal. I'm guessing your intent was to multiply out the given function.
f(x) = (x^2 + x - 3x - 3)(x - 4), or
= (x^2 - 2x - 3)(x - 4)
Now apply the distributive property of multiplication:
f(x) = x^3 - 4x^2 - 2x^2 + 8x - 3x + 12, or
= x^3 - x^2(4 - 2) + x(5) + 12, or
f(x) x^3 - 2x^2 + 5x + 12
Answer:
Angle is 33.82°
Step-by-step explanation:
It is given that, from the figure below,
Vertical distance = 12 feet
Horizontal distance = 18 feet.
Using the trigonometric rule for the right triangles, we have,

i.e. 
i.e. 
i.e. 
i.e. x= 33.82°
Thus, the angle made by the path with the horizontal is 33.82°.
Answer:
Step-by-step explanation:
1a) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1b) angle x and angle y are interior angles on the same side of the transversal. Since the lines are parallel, the angles are equal supplementary.
1c) angle x and angle y are corresponding angles. Both angles lie on the same side of the transversal. Since the lines are parallel, the angles are equal.
1d) angle x and angle y are alternate interior angles. They are between the parallel lines and alternate sides of the transversal. Since the lines are parallel, the angles are equal.
Answer: 12 hours
Step-by-step explanation:
Given : Working together, it takes Sam, Jenna, and Francisco two hours to paint one room.
When Sam works alone, he can paint one room in 6 hours. When Jenna works alone, she can paint one room in 4 hours.
Let 't' be the time taken by Francisco to paint one room on his own.
Then , we have
Rate of work of Sam +Rate of work of Jenna + Rate of work of Francisco =Rate of work they all do together

i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. 
i.e. t= 12
Hence, Francisco would take 12 hours to paint one room on his own.