well, let's first off, expand the expression, 3x(x-4) => 3x²-12x, which we can also write as
f(x) = 3x² - 12x + 0
now, this is a quadratic equation with a leading term with a positive coefficient, namely its graph is a parabola, or a Cup-Shaped figure, so the graph comes from the top, goes down down down, reaches a U-turn, then goes back up up up.
the U-turn, or vertex of the quadratic, is the lowest point in the "cup".
Answer:
Since g(f(x))=x g ( f ( x ) ) = x , f−1(x)=5x+2 f - 1 ( x ) = 5 x + 2 is the inverse of f(x)=5x−2 f ( x ) = 5 x - 2 .
Step-by-step explanation:
Answer:
-3.5, -3, -1.5, -1, 2
Step-by-step explanation:
All you need to solve these is a knowledge of the 3 main trigonometrical ratios.
I a right angled triangle where A is a non right angle:-
sin A = opposite / hypotenuse (hypotenuse is the sloping side)
cos A = adjacent / hyptenuse ( the adjacent side is the one the angle 'sits' on)
tan A = opposite / adjacent ( the opposite side is the one opposite the angle)
So to find the length of segment x in the first problem use
sin 61 = x / 50
then
x = 50*sin61 = 43.73
and to find the length of y:-
cos 61 = y / 50
y = 60 cos 61 = 24.24
The other questions can be solved in a similar way.
Answer:
2^4 × 3
Step-by-step explanation:
