Answer:
y = (x + 9)² + 9
Step-by-step explanation:
the equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
given a parabola in standard form : ax² + bx + c : a ≠ 0
the the x-coordinate of the vertex is
= - 
y = x² + 18x + 90 is in standard form
with a = 1, b= 18 and c = 90
= - 
= - 9
to find the corresponding y-coordinate substitute x = - 9 into the equation
y = (- 9)² + 18(- 9) + 90 = 81 - 162 + 90 = 9
⇒ y = (x + 9)² + 9 ← in vertex form
Answer:
36 divided by 6 is 6
Step-by-step explanation:
idk if im right i j wokeup lol
Answer:
-8
Step-by-step explanation:
12<-3 (x + 4)
1. distribute to the -3 to the x and 4 and should get
<em><u>-3*x = -3x</u></em>
<em><u>-3*4 = -12</u></em>
<u>12< -3x - 12</u>
2. now you get rid of the common factors which is -12 so add 12 to both sides and should get
-12+12=0
12+12=24
<u>24< -3x</u>
3. to get x by itself you will have to get rid of -3, so how to do that is divide -3 to both side and should get
-3x/-3= x
24/-3= -8
<u>-8<x</u>
Answer:
(E). 19
Step-by-step explanation:
Let original population of each colony be P.
We have been given that a certain bacteria colony doubles in size every day, so bacteria colony is growing exponentially. After x days, the population of bacteria would be:
The population after 19 days will be 
for each colony.
The total population of both the colonies at that point will be 
which is what the habitat's limit is.
Therefore, it will take 19 days for two bacteria colonies to reach the habitat's limit and option E is the correct choice.
Answer:
Proportional responsibility offers a counterfactual framework to the dominant policies that attribute ultimate responsibility for eating healthily to individuals, given that they have proportionally less influence over the determinants of their food choices than do government and the food industry
Step-by-step explanation:
