Answer:
20 books
Step-by-step explanation:
given that the shelf can hold 25 1/2 lbs (i.e 25.5 lbs), and that each book weighs 1 1/4 ln (i.e 1.25 lbs)
number of books which the shelf can hold
= weight that the shelf can hold ÷ weight of each book
= 25.5 ÷ 1.25
= 20.4 books
because having 0.4 of a book (i.e part of a book) would not be very feasable, we have to round the number of books down to the nearest whole number)
20.4 books rounded down to nearest whole number = 20 books (answer)
First, factor out a 3.
3(x² - 9)
In any quadratic ax² + bx + c, we can split the bx term up into two new terms which we want to equal the product of a and c.
In this case, we have x² + 0x - 9. (the 0x is a placeholder)
We want two numbers that add to 0 and multiply to get -9.
Obviously, these numbers are 3 and -3.
Now we have 3(x² + 3x - 3x - 9).
Let's factor.
3(x(x+3)-3(x+3))
<u>3(x-3)(x+3)</u>
There are multiple shortcuts which you could make here, FYI:
Instead of splitting the middle, if your a value is 1, you can go straight to that step (x+number)(x+other number).
Whenever you have a difference of squares, like a²-b², that factors to (a+b)(a-b).
Answer:
2.4
Step-by-step explanation:
Answer:
The first six numbers are 
Step-by-step explanation:
First term is 
The term to term rule is 'square and subtract
'
Second term
Third term
Fourth term
Fifth term
Sixth term
The first six numbers are 
The correct answer is the third choice : 25/9