What is the product of (3a + 2)(4a2 – 2a + 9)?

Mathematics

1 answer:

zzz [12.3K]3 months ago

7 0

Answer:

12a^3 + 2a^2 + 23a + 18

Step-by-step explanation:

Utilize the " ^ " symbol to denote exponents: 4a^2 – 2a + 9.

Proceed with the multiplication as follows:

Initially, apply 3a to each term in 4a^2 – 2a + 9: 12a^3 - 6a^2 + 27a.

Then, multiply each term in 4a^2 – 2a + 9 by 2: 8a^ 2 - 4a + 18.

Now, consolidate the similar terms:

12a^3 - 6a^2 + 27a

8a^ 2 - 4a + 18

---------------------------------

12a^3 + 2a^2 + 23a + 18

You might be interested in

Two thirds of a straight angle

PIT_PIT [12445]

Answer:

Two thirds of a straight angle is 120°

Explanation:

First, we define a straight angle:

A straight angle measures 180°

Now, we need to find two thirds of that straight angle

To compute the fraction, multiply the straight angle's measurement by $\frac{2}{3}$

Thus:

$\frac{2}{3}$ of a straight angle = $\frac{2}{3} * 180 = 120$ degrees

Hope this helps:)

4 0

2 months ago

Which answer includes a function, its inverse, and a dashed line that verifies the relationship?

zzz [12365]

The graphics that are missing can be found in the attachment.

Answer: Graphic of alternative D.

Step-by-step explanation: An inverse function is one that reverses another function: Typically, x denotes the variable while y is the function. In the case of an inverse function, y takes on the variable role and x becomes the function. For example, f(x) = y if and only if g(y) = x.

The graphic depicting an inverse function represents the reflection of the original function across the identity line y=x.

In each alternative provided in the image, the graphs illustrate a function paired with its inverse, however, in alternative D, the dashed line accurately represents the identity line y = x and its correlation with the function and its inverse. Therefore, Graph D is the valid option.