Answer:
Top right option: g(x) = (x+1)(x-3)
Step-by-step explanation:
x=-1 is the solution to x+1=0
x=3 is the solution to x-3=0
Therefore, your expression so far is (x+1)(x-3) or x²-2x-3.
Since the vertex must be (1,-4) we must check if x=1 satisfies the equation x=-b/2a:
x=-b/2a
1=-(-2)/2(1)
1=2/2
1=1
Both sides are equal to each other, so the final function is g(x) = (x+1)(x-3)
The average rate of change between 1991 and 1996 is 40 million
<h3>How to determine the average rate of change between 1991 and 1996?</h3>
The given parameters are:
Population in 1991 = 1.5 billion
Population in 1996 = 1.7 billion
The average rate of change between 1991 and 1996 is calculated as:
Rate = (1.7 billion -1.5 billion)/(1996 - 1991)
Evaluate
Rate = 40 million
Hence, the average rate of change between 1991 and 1996 is 40 million
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The distance between the building and the ladder is 34.876 foot.
<h3>What is a Right Triangle?</h3>
A triangle in which one of the angle measure is equal to 90 degree is called a right triangle.
The ladder forms a right triangle with the building and the ground,
The length of the triangle is 40 foot
The angle made by the ladder is 29.32 degree
By using Trigonometric Ratios
cos 29.32 = Base / Hypotenuse
cos 29.32 = Base / 40
0.8718 × 40 = Base
Base = 34.876 foot
Base is the distance between the building and the ladder.
Base of the ladder = 34.876 foot
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Answer:
$41
Step-by-step explanation:
- One room rents for $68,
- Two rooms for $65 each,
- In general, the group rate per room is found by taking $3 off the base of $68 for each extra room.
So,
where 
is the rate per nth room rented.
This is an arithmetic sequence, so
In your case,
Hence
This means if a group rents 10 rooms, the charge per room is $41.
