Answer:
The answer to your question is Vertex = (-6 , 4)
Step-by-step explanation:
Data
Equation y = -x² - 12x - 32
Process
1.- Add 32 units in both sides
y + 32 = -x² - 12x - 32 + 32
2.- Simplify
y + 32 = -x² - 12x
3.- Factor -1 in the right side
y + 32 = -(x² + 12x )
4.- Complete the perfect square trinomial
y + 32 - 6² = -(x² + 12x + 6²)
5.- Simplify
y + 32 - 36 = -(x + 6)²
y - 4 = -(x + 6)²
6.- Find the vertex
Vertex = (-6 , 4)
The graph shows the relationship between the total cost. The true statement is
Seven erasers cost $3.50. Option D
This is further explained below.
<h3>The graph shows the relationship between the total cost and the number of erasers bought at the student store. Which statement is true?</h3>
Generally, A cost is the worth of the money that has been spent in the process of producing something or delivering a service, and as a result, it is no longer accessible for use.
This concept is utilized in manufacturing, research, retail, and accounting. In the world of business, a cost may refer to a purchase, in which case the sum of money spent on the item in question is considered to be the cost of the item.
In conclusion, each eraser will cost u 50 cents
so 7 erasers will cost (7 * 0.50) = 3.50
Read more about costs
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Answer:
X 1 2 3 4 5 6
P(X) 0.115 a 0.422 0.312 0.034 0.015
If we want a probability distribution we need to satisfy two important conditions:
1)
2)
And using the second condition we have this:
With a the probability associated with the value of X=2 and solving for a we got:
So then for this case
Step-by-step explanation:
Let X the random variable that represent the number of classes that a student takes
For this case we have the following probability distribution given:
X 1 2 3 4 5 6
P(X) 0.115 a 0.422 0.312 0.034 0.015
If we want a probability distribution we need to satisfy two important conditions:
1)
2)
And using the second condition we have this:
With a the probability associated with the value of X=2 and solving for a we got:
So then for this case
Well, 4 people are each paying the same amount... the price they are all paying together is $12... basically, do 12 / 4, and you get three.