1. Relative extrema of functions are the "tops" or the "bottoms" of the curves (the graphs) representing functions. So they are the points at which the tangent lines are horizontal.
2. In short we are looking for the solutions of f'(x)=0
3. f'(x)=
-9=0
Notice:
so that the square root of this expression exists. So x
1 or x
-1
Also in
notice that the root is always positive and 1/9 is positive, so x must be positive. This second condition, combined with the first one tells us that the solution is in x
1
4.
Square both sides
let
Then the 4th degree equation becomes the quadratic equation
The discriminant D=
is not considered as
so t cannot be negative
x=
Answer:
a) P = 0.08s +200
b) $488
c) $6250
Step-by-step explanation:
<h3>a)</h3>
Your answer is correct. The commission rate is multiplied by the sales amount, and that product is added to the guaranteed pay to get the paycheck amount:
P = 0.08s +200
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<h3>b)</h3>
Fill in 3600 for s and do the arithmetic.
P = 0.08×3600 +200 = 288 +200 = 488
The paycheck amount will be $488.
__
<h3>c)</h3>
Use the equation for part (a) and solve for P = 700.
700 = 0.08s +200
500 = 0.08s . . . . . . subtract 200
500/0.08 = s = 6250 . . . dollars; divide by the coefficient of s to get this
Sales would have to be $6250.
Answer:
Angles FVE, FVD, and EVD have V as a vertex
Step-by-step explanation:
If V is the vertex of an angle, it's the point of that angle. So, it wants every angle you can make where V is the point of it.
Answer: D) From attacks by other nations
Step-by-step explanation:
Answer:
10
x^4 - 8x^5
Explanation:
To write a polynomial in standard form, simplify and then arrange the terms in descending order. Ex. ax^2+ax+c
Then you would simplify
−2 x−5(x^2x^2)−2x4(x^2x^3)
Simplify each term
= 10
x^4 - 8x^5