Answer:
Option B: 
Step-by-step explanation:
The parabola has its concavity downwards, so we need a function in the model:

With a negative value of 'a'
The vertex is (0,0), so we have that:


The x-coordinate of the vertex is given by the equation:



So we have a function in the model:

With a < 0
The only option with this format is B:

9514 1404 393
Answer:
a = 3, b = 12, c = 13
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c)
(a^b)^c = a^(bc)
___
You seem to have ...

_____
<em>Additional comment</em>
I find it easy to remember the rules of exponents by remembering that <em>an exponent signifies repeated multiplication</em>. It tells you how many times the base is a factor in the product.

Multiplication increases the number of times the base is a factor.

Similarly, division cancels factors from numerator and denominator, so decreases the number of times the base is a factor.

Answer:
0.4 cm
Step-by-step explanation:
The magnifying glass basically zooms into smaller objects. If the insect appears to be 2cm, then it is actually smaller than this. It cannot be 10 cm.
If the scale factor is 5, then this means that the insect is zoomed in 5 times through the magnifying glass. Use the following ratio:

This fraction can also be seen as division, so:
÷
The insect is actually 0.4 cm long.
(or 4 millimeters)
:Done