Answer: See explanation
Step-by-step explanation:
Your question isn't well written but I saw an identical question:
A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?
For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:
= 42 ÷ 1 1/4
= 42 ÷ 5/4
= 42 × 4/5
= 33 3/5
Therefore, the number of books that will fit on the shelf is 33.
Answer:
Step-by-step explanation:
Given
Required
Determine the number of brownies left
If:
and there are 28 students
Then:
To determine the number of brownies left, we have:
Reorder
Collect Like Terms
<em>Hence, there are 33 brownies left</em>
Answer:
One possible equation is 
, which is equivalent to 
.
Step-by-step explanation:
The factor theorem states that if 
(where 
is a constant) is a root of a function, 
would be a factor of that function.
The question states that 
and 
are 
-intercepts of this function. In other words, 
and 
would both set the value of this quadratic function to 
. Thus, 
and 
would be two roots of this function.
By the factor theorem, 
and 
would be two factors of this function.
Because the function in this question is quadratic, and would be the only two factors of this function. In other words, for some constant 
(
):
.
Simplify to obtain:
.
Expand this expression to obtain:
.
(Quadratic functions are polynomials of degree two. If this function has any factor other than and , expanding the expression would give a polynomial of degree at least three- not quadratic.)
Every non-zero value of corresponds to a distinct quadratic function with -intercepts and . For example, with 
:
, or equivalently,
.
