Answer:
24
Step-by-step explanation:
You input will always be your x so you just substitute x with 10 and simplify. Which is 30 minus 6, thus 24. :)
<span>f(x) = x</span>² <span>+ 12x + 6 </span>→ y = x² + 12x + 6<span>
Let us convert the standard form into vertex form.
1) Complete the squares. Isolate x</span>² and x terms.
<span>y - 6 = x</span>² + 12x
<span>
2) Create the perfect square trinomial. Whatever number is added on one side must also be added on the other side.
y - 6 + 36 = x</span>² + 12x + 36<span>
y + 30 = (x + 6)</span>²
<span>y = (x + 6)</span>² - 30 ← Vertex form
<span>
To check:
y = (x + 6) (x + 6) - 30
y = x</span>² + 6x + 6x + 36 - 30
<span>y = x</span>² + 12x + 6<span>
The zero that could be added to the given function is 36, -36</span>
Answer:
x = 2.5 or 7.5
Step-by-step explanation:
Subtract 3/4.
|5 -x| = 10/4 = 2.5
This resolves to two equations:
- 5 -x = 2.5 ⇒ x = 5 -2.5 = 2.5
- 5 -x = -2.5 ⇒ x = 5 +2.5 = 7.5
The solutions are x = 2.5 or 7.5.
Answer:
Step-by-step explanation:
Answer:
complement
Step-by-step explanation:
The complement of a set is the set in the universal set that is not included in that set
The universal set contains all elements
For example
U = { 1, 2, 3, 4, 5, 6, }
A = {1, 3, 6}
(complement of A) A' = {2, 4, 5}
