Answer:
g(x) = (x + 3)^2
Step-by-step explanation:
When a function is shifted to the left or right we can think of a change of units, like a new independent variable is used.
If we have a quadratic function
and the graph is shifted 3 units to the left, then we can think of a new unit u that is:
The vertix of this parabola, that happens for u=0, happens for x=-3, as the graph is shifted 3 units to the left.
Then, the relation between u and x is:
We can use this relation in the new graph and replace u as:
Answer:
Domain[0, ∞). Range (-∞,4).
Step-by-step explanation:
domain is your lowest x (zero) to your highest x (infinity)
range is the lowest y (negative infinity) to your highest y (four)
<span>The initial speed is 60 miles/hour, and his speed decreases by 15 miles/hour every hour.
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Answer:
This company used 2265 gallons of soap this year
Step-by-step explanation:
50% of 4530
Soap used this year = 4530 - 2265 = 2265
So, since averages are defined as:
So, since P are the total number of elements and P_k is the P_kth student. This is saying if we sum over each student's score and divide it by the number of students, we should get P, which is true.
So, using that logic, the other class can be represented as:
We can take both of these equations and multiply them by N:
So, if we want to find the average of this we should add both our equations then divide by P+N, which is the number of all the students.
To make this simpler we can replace our LHS with 86, since that's the average of both classes combined.
Simplified we would have P/N=3/8.
