First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8
Answer:
-2
Step-by-step explanation:
Hello,
First of all, let's check the denominator.

Now, let's see the numerator.

So we cannot factorise the numerator with (x+2) or (x-3)
Then, -2 and 3 are the the discontinuities of the expression.
There is only -2 in the list, this is the correct answer.
Hope this helps.
Do not hesitate if you need further explanation.
Thank you
Answer:
it takes 13 votes to win a majority
Step-by-step explanation:
half+1 in the case of 25
it takes 13 votes to win a majority ( because there is nothing called half vote)
Answer:
Step-by-step explanation:
Let z and b represent the number of packs that Zack and Brian bought, respectively. Then the problem statement tells us ...
b = 2z -3 . . . . . . . Brian bought 3 fewer than twice what Zack bought
b + z = 30 . . . . . . they bought a total of 30 packs
Using the first equation to substitute into the second, we have ...
(2z -3) +z = 30
3z -3 = 30
3z = 33 . . . . . . add 3
z = 11
b = 2·11 -3 = 22 -3 = 19
_____
<em>Check</em>
b + z = 19 + 11 = 30 . . . . answer checks OK
Zack bought 11 packs; Brian bought 19 packs of gum.
I think A when there is an outlier