Answer:
Step-by-step explanation:
Let
, a reflection over the x-axis consists in the following operation:

If we know that
and
, then the points translated over the x-axis are
and
, respectively. The most precise description of the shape is a rectangle for the following facts:
1)
and
.
2)
and
have the same x-component.
3)
and
have the same x-component.
4)
and
have the same y-component.
5)
and
have the same y-component.
A representation of the shape is included below as attachment.
Answer:
$16,748
Step-by-step explanation:
we know that
The equation of a exponential decay function is equal to

where
y is the value of the car
x is the number of years
a is the initial value
r is the rate of change
In this problem we have

substitute


For x=3 years
substitute

12a. Answer: d) x⁶ f'(x) + 6x⁵ f(x)
<u>Step-by-step explanation:</u>
Use the multiplication formula for derivatives:
y = a · b → y' = a'b + ab'
<u>y = x⁶ · f(x) </u>
a = x⁶ b = f(x)
a' = 6x⁵ b' = f'(x)
<u>y' = a'b + ab'</u>
y' = 6x⁵ f(x) + x⁶ f'(x)
***************************************************************
12b. Answer: 
<u>Step-by-step explanation:</u>
Use the division formula for derivatives:
→ 

Note: You can also move the denominator to the top (it will have a negative exponent) and use the multiplication formula for derivatives.
b). empty set, {–3}, {6}, {–3, 6}