Which expression is equivalent to 2(x + 7) – 18x + = ?
1 answer:
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So to find the answer to this, you have to consider that 
- half because half the pocket money (x) was spend on clothes, then plus 9 because that's how much extra she gained and 13 because that was the result of all the changes.
To solve this, first subtract 9 from both side, which leaves you with
and 
is the same as 
, so to solve this, multiply both sides of the equation by two, resulting in 
. SO from this we can conclude that the weekly allowance is $8
To solve this, first subtract 9 from both side, which leaves you with
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,
.