Answer:
Choice b.
.
Step-by-step explanation:
The highest power of the variable 
in this polynomial is 
. In other words, this polynomial is quadratic.
It is thus possible to apply the quadratic formula to find the "roots" of this polynomial. (A root of a polynomial is a value of the variable that would set the polynomial to 
.)
After finding these roots, it would be possible to factorize this polynomial using the Factor Theorem.
Apply the quadratic formula to find the two roots that would set this quadratic polynomial to . The discriminant of this polynomial is 
.
.
Similarly:
.
By the Factor Theorem, if 
is a root of a polynomial, then 
would be a factor of that polynomial. Note the minus sign between and 
.
- The root
corresponds to the factor 
, which simplifies to 
. - The root
corresponds to the factor 
, which simplifies to 
.
Verify that 
indeed expands to the original polynomial:
.
when y = -11, 0 + y is equal to -11.
the question is asking us to add 0 to the given value of y. the given value of y is -11, so place -11 into 0 + y and you get 0 + -11. since you are adding zero, you are making no changes to the y value, so it stays at -11.
<em>hope this helps and have a great day!</em>
The given quadratic describes a parabola that opens upward. Its one absolute extreme is a minimum that is found at x = -3/2. The value of the function there is
(-3/2 +3)(-3/2) -1 = -13/4
The one relative extreme is a minimum at
(-1.5, -3.25).
_____
For the parabola described by ax² +bx +c, the vertex (extreme) is found where
x = -b/(2a)
Here, that is x=-3/(2·1) = -3/2.
100 = number of sets of clubs manufactured per month
S = sell-price for a set of clubs
Expenses per month = 23,250 + 145(100) = 37,750
Revenue per month = 100 S
Break-even when Expenses = Revenue
<u>100 S = 37,750</u>
One question: How did you solve it without an equation ?
It would be -15 as the answer
