In order for the whole expression to be negative, either (x⁵)
or (y⁴) or (z²) must be negative.
But an even-numbered power can't be negative ... even if the base
is a negative number, any even-numbered power of it is positive.
So (y⁴) and (z²) are always positive. The expression can be
negative if 'x' is negative, because (x⁵) will then be negative.
None of the proposed requirements is appropriate, so the
final answer is E. None .
Answer:
The function is equal to 
Step-by-step explanation:
we know that
The equation of a vertical parabola in vertex form is equal to

where
a is a coefficient
(h,k) is the vertex
In this problem we have
(h,k)=(8,-1)
substitute

<u><em>Find the value of a</em></u>
Remember that we have the y-intercept
The y-intercept is the point (0,-17)
substitute
x=0,y=-17






therefore
The function is equal to

see the attached figure to better understand the problem
Answer:
946,080,000
Step-by-step explanation:
I looked it up. (; Your welcome.
Answer:
84.14 square units, total
Step-by-step explanation:
Use the formulas for area of the figures you're interested in.
<u>Rectangle Area</u>
A = LW
<u>Circle Area</u>
A = πr^2
__
Your rectangle area will be ...
A = 5 × 14 = 70 . . . . square units
The area of a full circle with diameter 6 (radius = 6/2 = 3) will be ...
A = π × 3^2 = 9π
The area of a semicircle of that size is half that:
semicircle area = 9π/2 = 4.5π
Then the total area of the two figures is ...
70 + 4.5π ≈ 70 +14.14 = 84.14 . . . square units