X - 1 is inside a cubic root.
The cubic root of a positive number is positive.
The cubic root of zero is zero.
The cubic root of a negative number is negative.
That means that the cubic root of any real number is also a real number.
The domain is all real numbers.
Answer: Choice A.
V(x) = (2x - 3)/(5x + 4)
The domain is all Real numbers except x = -4/5, because if x = -4/5 the denominator would be zero and you cannot divide by zero.
{x | x ∈ R, x ≠ -4/5}
w(x) = (5x + 4)/(2x - 3)
similarly, x ≠ 3/2
so, {x| x ∈ R, x ≠ 3/2}
Tangent = opposite / adjacent
In the diagram:
TQ is the short leg or the opposite
QR is the long leg or the adjacent
TR is the hypotenuse. TS is part of the hypotenuse.
Tan(QTR) = TQ / QR
TS = 1 ; TQ = TS so, TQ = 1
Tan(QTR) = 1/QR
I think the answer is C.RQ
The formula to find the arc length L is
L = r*theta
where r is the radius and theta is the central angle in radians (this formula will not work if theta is in degrees)
If the central angle is 1 radian, then theta = 1 and
L = r*theta
L = r*1
L = r
So the arc length is the same as the radius
Answer: Choice A) The radius of the circle
They basically make a profit of $2.85. Because $9.95 - $7.10 = $2.85.
To break even you would have to sell 4000 footballs. Because 11,400 / 2.85 = 4000.