Answer:
A.30x3-3x2-24x+9
Step-by-step explanation
1. Separate the terms in g(x). (6x) (-3)
2. Distribute by multiplying each term in f(x) by (6x).
(6x)(5x2+2x-3)=30x3+12x2-18x
3. Distribute the other term in g(x) to each term in f(x).
(-3)(5x2+2x-3)= -15x2-6x+9
4. Combine the like terms of both answers.
30x3+12x2-18x-15x2-6x+9= <em><u>30x3-3x2-24x+9</u></em>
Answer:
702 emails
Step-by-step explanation:
<h2>This problem bothers on depreciation of value, in this context it is Joe's email that has depreciated by 10%.</h2>
Given data
Average personal emails received monthly = 
Average work emails received monthly
We are required to solve for the new amount of emails Joe will be receiving after changing his address, to find this value we need to solve for the depreciation of his personal mails.
After solving for the depreciation , we then need to subtract the depreciation from the initial number of mails to get the new number of mails.
let us solve for 10% depreciation.

The new number of mails

Joe will be receiving an average of 702 emails in his personal account monthly
Given:
The center of the circle = (-1,0)
Point on the circle = (2,-4).
To find:
The equation of the circle.
Solution:
Distance between two points is

Distance between the center (-1,0) and the point on the circle (2,-4) is the radius of the circle.



On further simplification, we get



Now, the equation of the circle is

Where, (h,k) is the center and r is the radius of the circle.
The radius of the circle is 5 and the center is at (-1,0), so the equation of the circle is


Therefore, the first option is correct, i.e.,
.
Answer:
1 5/18
Step-by-step explanation:
4/9 = 8/18
5/6 = 15/18
15/18 + 8/18 = 23/18 = 1 and 5/18