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valkas [14]
2 years ago
14

Find f(g(x)) and g(f(x)). f(x)=x²-2 and g(x)=√x+1

Mathematics
1 answer:
Archy [21]2 years ago
6 0

Answer:

1. x - 1

2. \sqrt{x^2-1}

Step-by-step explanation:

f(g(x)) = \sqrt{x+1}^2 - 2\\ = x + 1 - 2\\= x - 1

g(f(x)) =\sqrt{x^2-2+1}\\ = \sqrt{x^2-1}

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A basketball court is 94 feet by 50 feet. Eight fans ca
IgorC [24]

Answer:

The entire floor can contain approximately 4178 fans

Step-by-step explanation:

The first step is to calculate the area of the basketball floor.

we can do this by multiplying the length by the breadth as such 94 X 50 = 4700 square feet.

The second step is to calculate the area occupied by 8 of the fans. We can do this by multiplying 3 ft by 3ft = 9 square feet.

From this, it will be easier to estimate the area occupied by only one fan. This can be got by dividing 9 square feet by 8.  

This is = 1.125 square feet.

To get the number of students it can occupy, we divide the total area of the court by the area occupied by one student.

4700/ 1.125 =4177.8 \approx 4178 fans

4 0
3 years ago
An EPA contractor needs to test the concentration of a substance in ten samples of the ground water. Seventy samples were
olga55 [171]

Answer:

Systematic sampling

Step-by-step explanation:

An EPA contractor needing to test the concentration of a substance in ten samples out seventy samples provided form a single source at regular time intervals.

For the contractor to effectively carry out the testing he has to employ a Non-probability system of sampling which is called Systematic sampling, because in systematic sampling we can assume the population size (x ) which in this case is 70 and the sample size( n ) to be 10

He will have to select ;  ( x / n )^th of the sampling frame for best results

7 0
3 years ago
Please answer correctly !!!! Will mark brainliest !!!!!
7nadin3 [17]
Hi there!

f(x) = − 4x/5 − 8/5

Hope this helps !
8 0
2 years ago
A large nest of recently hatched bald eagles is located at the top of the Eiffel Tower (which is 324 meters tall) and is attract
Mariulka [41]

9514 1404 393

Answer:

  80.5°

Step-by-step explanation:

The applicable trig function is the tangent.

  Tan = Opposite/Adjacent

In this scenario, the side opposite the angle is the tower height, 324 m. The side adjacent is the distance to the tower, 54 m. Then the angle α is related by ...

  tan(α) = 324/54

The value of the angle with this tangent is found using the arctangent function:

  α = arctan(324/54) ≈ 80.5°

She should set her binoculars to 80.5°.

6 0
2 years ago
Two student are reading a book. Keith reads 6 pages a day.tameka read 5 pages a day but he start sooner and has already read 15
NemiM [27]

Answer: Whoever read the 15 pages before read the most.


Step-by-step explanation:


6 0
3 years ago
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