Answer:
A
Step-by-step explanation:
it is A
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,
.
<h3>
Answer: x^2-3x+36</h3>
=========================================
Explanation:
The larger rectangle has area of (x+1)(x+1) = x^2+2x+1 through the use of the FOIL rule or distribution
If you use distribution, then it might help to let y = x+1 so we'd have y(x+1) lead to xy+1y which becomes x(x+1)+1(x+1). From there it might be easier to see how to get x^2+2x+1 after everything distributes again and simplifies.
The smaller rectangle has area 5x-35 which is found by distributing 5(x-7)
To get the shaded area, we subtract the two rectangle areas found above
shaded area = (larger area) - (smaller area)
shaded area = (x^2+2x+1) - (5x - 35)
shaded area = x^2+2x+1 - 5x + 35
shaded area = x^2-3x+36
4 Aces, 4 2's, 4 3's 4 4's
= 16 cards total out of 52 cards
so probability would be 16/52 which reduces to 4/13