2b^2 + 81/2 b + 4
basically 2b^2 + 16b + 49/2 b + 4
= (2b^2) + 16b+49/2b) + (4)
= 2b^2 + 81/2 b + 4
By using the information given on the graph, we can see that a = 3.
<h3>
How to find the value of a?</h3>
Here we have an exponential of the form:

And by looking at the graph, it passes through (0, 4) and (2, 36), so we can write:

From the first equation we get that p = 4, replacing that on the second one we get:

So we conclude that a = 3.
If you want to learn more about exponential equations:
brainly.com/question/11832081
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Step-by-step explanation:
The equation of a parabola with focus at (h, k) and the directrix y = p is given by the following formula:
(y - k)^2 = 4 * f * (x - h)
In this case, the focus is at the origin (0, 0) and the directrix is the line y = -1.3, so the equation representing the cross section of the reflector is:
y^2 = 4 * f * x
= 4 * (-1.3) * x
= -5.2x
The depth of the reflector is the distance from the vertex to the directrix. In this case, the vertex is at the origin, so the depth is simply the distance from the origin to the line y = -1.3. Since the directrix is a horizontal line, this distance is simply the absolute value of the y-coordinate of the line, which is 1.3 inches. Therefore, the depth of the reflector is approximately 1.3 inches.
Answer: 
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
- Apply the Distributive property.
- Remember that, according the exponents properties, when you multiply two powers with equal base, you must add the exponents.
- Add the like terms.
Therefore, you obtain that the product is the following:
