All you have to do is add exponents when multiplying like monomials. So it's just 4^2
<span>(f+g)(x) ≥ 3 for all values of x</span>
A = .5 r^2 theta
Theta must be in radians
A = .5 (15.7)^2 (102)(pi/180)
A= 219 mm^2
The <em>correct answer</em> is:
maximum: 116
; range: y ≤ 116
Explanation:
This is a quadratic equation in standard form, which is y=ax²+bx+c. The maximum or minimum of a quadratic function is the vertex. To find the x-coordinate of the vertex, we find the axis of symmetry. This is given by the formula x=-b/2a:
x = -32/2(-2) = -32/-4 = 8
To find the y-coordinate, plug this into the equation:
y = -2(8²)+32(8)-12
y=-2(64) + 256 - 12 = -128+256-12 = 128-12 = 116
The coordinates of the vertex are (8, 116).
To determine if this is a maximum or minimum, look at the value of a. It is -2. Since it is negative, this means the parabola opens downward, and the vertex is a maximum.
Since this is a maximum at y=116, this means the range, our y-values, will be less than or equal to this value of 116.
Answer:
Step-by-step explanation:
The given radical expression is;
We multiply both the numerator and the denominator by the conjugate of
which is
The denominator is now difference of two squares;
Simplify: