Answer:
(3n + 4) (n-2)
Step-by-step explanation:
Are you asking to factor this 3n^2 - 2n -8 ?
If so the best way to do this problem is with the X method.
top: 3*(-8)
left: factor of 3*-8 right: factor of 3*-8
bottom: -2
try the factors 4 and -6 because 4*-6 = 3 *-8 = -24
Because notice that 4 + -6 = -2
so:
3n^2 -2n - 8 can be rewritten as 3n^2 -6n + 4n - 8
We should first use Distributive property to factor: 3n^2 -6n + 4n - 8
3n^2 -6n + 4n - 8 = 3n (n - 2) + 4(n - 2)
Now we factor by grouping here : (3n + 4) (n-2)
I factored out the group (n-2)
Therefore: (3n + 4) (n-2) = 3n^2 -2n - 8
Answer:

Step-by-step explanation:
So the "product of" means the answer to a multiplication problem. That means -3 is being multiplied by a number which is squared. I used the variable "n" for number but you could use any letter you want.
This is what we have so far,
x -3 or
(-3)
The term decreased means to reduce or subtract. Which means we are left with....

Hope that helps and have a great day!
The exponents distribute over factors:

so, you have

Let's focus on each factor: applying the definition of negative exponents, you have

While for the power of 10, you can use the following rule
to write

So, the expression evaluates to

If Brandi purchases x albums and y singles, then x albums cost $10x and y singles cost $y. She wants to spend no more than $25 total, then

Brandi wants to purchase at least 5 singles. This means that

Note that x and y are whole numbers.
There are three possibility:
- x = 0, y = 25 (the total cost is 10·0 + 1·25 = 25 ≤ 25 and 25 singles is more than 5 singles);
- x = 1, y = 15 (the total cost is 10·1 + 1·15 = 25 ≤ 25 and 15 singles is more than 5 singles);
- x = 2, y = 5 (the total cost is 10·2 + 1·5 = 25 ≤ 25 and 5 singles is equal to minimal required number of singles).
Answer: 1) 0 albums and 25 singles;
2) 1 album and 15 singles;
3) 2 albums and 5 singles.