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4 years ago

Find the domain and range of the relation. {(−8,−4),(15,14),(−2,15),(14,−11),(19,−19)}

Mathematics

2 answers:

slega [8]4 years ago

7 0

Domain = {-8,15,-2,14,19}

Range = {-4,14,15,-11,-19}

Step-by-step explanation:

When a function is given in the form of a relation containing ordered pairs

The first element of each ordered pair is the member of the domain while the second element of each ordered pair is the member of the range.

Given relation is:

{(−8,−4),(15,14),(−2,15),(14,−11),(19,−19)}

We have to combine the first elements of each ordered pair to make the domain set and second element of each ordered pair to make the range set.

So,

Domain = {-8,15,-2,14,19}

Range = {-4,14,15,-11,-19}

Keywords: sets, domain, range

Learn more about sets at:

#LearnwithBrainly

Sladkaya [172]4 years ago

4 0

disregard my answer.

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Using the formula for initial velocity h=-16t2+VT the height of any object can be found by the time, Annalee serves a volleyball

Marrrta [24]

The ball will hit the ground at 0.125 seconds

<h3>Quadratic function</h3>

The equation of the function is a quadratic function, and the function is given as:

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So, the equation of the function becomes

$-16t^2 + 2t = 0$

Subtract 2t from both sides of the equation

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3 years ago

Use the model below to estimate the average annual growth rate of a certain country's population for 1950, 1988, and 2010, where

Morgarella [4.7K]

Answer:

The average annual growth rate of a certain country's population for 1950, 1988, and 2010 are 2.398, 0.9985 and 0.2236 respectively.

Step-by-step explanation:

The given equation is

$Y=-0.0000084x^3+0.00211x^2-0.205x+8.423$

Where Y is the annual growth rate of a certain country's population and x is the number of years after 1900.

Difference between 1950 and 1900 is 50.

Put x=50 in the given equation.

$Y=-0.0000084(50)^3+0.00211(50)^2-0.205(50)+8.423$

$Y=2.398$

Therefore the estimated average annual growth rate of the country's population for 1950 is 2.398.

Difference between 1988 and 1900 is 88.

Put x=88 in the given equation.

$Y=-0.0000084(88)^3+0.00211(88)^2-0.205(88)+8.423$

$Y=0.9984752\approx 0.9985$

Therefore the estimated average annual growth rate of the country's population for 1988 is 0.9985.

Difference between 2010 and 1900 is 110.

Put x=110 in the given equation.

$Y=-0.0000084(110)^3+0.00211(110)^2-0.205(110)+8.423$

$Y=0.2236$

Therefore the estimated average annual growth rate of the country's population for 2010 is 0.2236.

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3 years ago

3-12t+8t simplify each Expression

kakasveta [241]

Combine the like terms:

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simplified answer is

-4t + 3

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3 years ago

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Answer:

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