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Licemer1 [7]
3 years ago
14

What are the domain and range of the function

Mathematics
2 answers:
Vladimir79 [104]3 years ago
6 0
Domain is basically the x value and the range is the y value. Domain is also known as the input and range is known as the output.
suter [353]3 years ago
3 0
The domain refers to the x values of a function. The range refers to the y values. In a linear equation such as y=2x, for example, the domain would be negative infinity to positive infinity. 

[-∞, <span>∞] 

The range would be the same. However, for certain equations such as most parabolas, the range of a function (the vertical limits) are not infinite.</span>
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A horse trot in a circle around it's trainer at the end of a 31 foot long rope. Find the area of the circle that is swept out. R
Mnenie [13.5K]
So, imagine the trainer is in the very middle of the circle and he is holding out a rope that's attached to the horse. The rope here from the trainer to the horse represents the radius of the circle. The horse trots around the trainer (middle point) in a circle.
The formula to find area of a circle is A = pi*r^2 (pi times r squared where r is radius)
We know that the radius of the "circle" here formed as the horse trots around the trainer is 31 (the 31 foot long rope). 
So let r = 31 & plug the value into the formula to find circle area.
A = pi*31^2 = 3019.07054
The area is therefore 3019.07 square feet. (rounded)

3 0
3 years ago
What does it mean to be a 'solution' to a function?
serg [7]
A number is a solution when it fits within the range of answers that the function generates.
8 0
3 years ago
Please answer ASAP and if you do you will get Brainliest. Catherine buys a gallon of ice cream from the store. After taking it h
rodikova [14]

Answer:

Catherine's sister ate 2/15 gallons of the ice cream.

\displaystyle \frac{2}{15}.

Step-by-step explanation:

Let x be the amount of ice cream that Catherine's sister ate, in gallons.

  • Original amount: 1 gallon.
  • What Catherine ate: \displaystyle \frac{1}{5} gallons.
  • What Catherine's sister ate is assumed to be x gallons.
  • What's left: \displaystyle \frac{2}{3} gallons.

Consider the relationship:

\text{Original amount - What Catherine ate - What Catherine's Sister ate}\\ =\text{ What's left.}.

That is:

\displaystyle 1- \frac{1}{5} - x = \frac{2}{3}.

Add x to both sides of this equation:

\displaystyle 1 - \frac{1}{5} = \frac{2}{3} +x

Substract \displaystyle \frac{2}{3} from both sides:

\displaystyle 1 - \frac{1}{5} - \frac{2}{3} = x.

Convert the denominator of all three numbers on the left-hand side to 3 \times 5 = 15

\displaystyle \frac{15}{15} - \frac{3}{15} - \frac{10}{15} = x.

\displaystyle x = \frac{2}{15}.

In other words, Catherine's sister ate \displaystyle \frac{2}{15} gallons of the ice cream.

3 0
3 years ago
Read 2 more answers
What is the value of x?<br> A. 52/3<br> B.3/4<br> C.17<br> D. 52/7
MrRa [10]

Answer:

d

Step-by-step explanation:

look at the x and y axis

5 0
3 years ago
According to the Department of Transportation, 27% of domestic flights were delayed in the last year at JFK airport. Five flight
Mars2501 [29]

Answer:

The probability that all the five flights are delayed is 0.2073.

Step-by-step explanation:

Let <em>X</em> = number of domestic flights delayed at JFK airport.

The probability of a domestic flight being delayed at the JFK airport is, P (X) = <em>p</em> = 0.27.

A random sample of <em>n</em> = 5 flights are selected at JFK airport.

The random variable <em>X</em> follows a Binomial distribution with parameters <em>n</em> and <em>p</em>.

The probability mass function of <em>X</em> is:

P(X=x)={5\choose x}0.27^{x}(1-0.27)^{5-x};\ x=0,1,2...

Compute the probability that all the five flights are delayed as follows:

P(X=5)={5\choose 5}0.27^{5}(1-0.27)^{5-5}=1\times 1\times 0.207307=0.2073

Thus, the probability that all the five flights are delayed is 0.2073.

4 0
3 years ago
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