Answer:
10
Step-by-step explanation:
f(x) =3x-x=2x,
f(7-2)=f(5)= 2*5=10
The general rule for difference of two squares is that when factorised it can be written in the form (a+b)(a-b) where a is the square root of the first part of the function and b is the square root of the second part of the function.
From this we can find the square root of x² to find a and the square root of 16y² to find b.
In this case √x²=x and √16y²=4y
Therefore fully factorised it can be written as (x+4y)(x-4y)
A quotient of 3 with 28 as a remainder means that 43 fits inside our number 3 times, and you have 28 more units as a remainder.
So, our number is

To write another division problem that has a quotient of 3 and a remainder of 28, we simply choose another number to substitute 43 in the expression above. For example, if we choose 100, the expression becomes

Which means that 328 has quotient of 3 with 28 as a remainder when divided by 100.
Answer:
The sum of the first nine terms of the sequence is 74.44.
Step-by-step explanation:
Geometric sequence concepts:
The nth term of a geometric sequence is given by the following equation.

In which r is the common ratio.
This can be expanded for the nth term in the following way:

In which
is the first term.
Or even:

The sum of the first n terms of a geometric sequence is given by:

Finding the common ratio:






![r = \sqrt[5]{\frac{15}{3.645}}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B15%7D%7B3.645%7D%7D)

Finding the first term:




Sum of the first nine terms:

The sum of the first nine terms of the sequence is 74.44.