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4 years ago

Which term describes the set of all possible input values for a function?

Mathematics

2 answers:

marissa [1.9K]4 years ago

6 0

Domain term describes the set of all possible input values for a function

Alexus [3.1K]4 years ago

4 0

Answer: D. Domain

Step-by-step explanation:

The term which describes the set of all possible input values for a function is 'domain'.

The domain is a set which contains all the possible value of the independent variables or the input values for which a function is defined .

For example :-The domain for a polynomial function is the set of real numbers.

But the domain of function $f(x)=\frac{1}{x}$ is the set of real numbers minus 0. Because at x=0, the function does not defined.

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A vertex of square is at(1,1) and its two parallel sides are y=x and y=x+1. find the equation of the remaining sides.Show your w

belka [17]

Answer:

$\displaystyle y = - x + 2$

$y = - x +1$

Step-by-step explanation:

we are given a vertex of a square i.e (1,1)

and the equations of the two parallel sides

notice that, the given vertex coordinates satisfy one of the parallel side i.e y=x which means that (1,1) points lie on one of Parallel sides

remember that,

every angles of a square is 90°

therefore,

we need to figure out the remaining Perpendicular line of the given Parallel sides so

let's figure out the perpendicular line of y=x line

recall that,

Parallel lines have the same slope thus

$\displaystyle m_{ \rm perpedicular} = - 1$

since we are given a vertex the equation of the perpendicular line should be

$\displaystyle y - 1 = - 1(x - 1)$

distribute:

$\displaystyle y - 1 = - x + 1$

add 1 to both sides:

$\displaystyle y = - x + 2$

to figure out the second perpendicular line we can consider the coordinates (0.5,0.5) of y=x equation

so the slope of the perpendicular line is -1

and the equation:

$y - 0.5 = - 1(x - 0.5)$

distribute:

$y - 0.5 = - x +0 .5$

add 0.5 to both sides:

$y = - x +1$

and we are done!

4 0

3 years ago

Two sides of a right triangle have lengths of 78 inches and 30 inches the third side is not the hypothesis how long is the third

Liono4ka [1.6K]

The third side is 84 inches long, therefore it has to be the hypotenuse because it's the longest side.

7 0

4 years ago

Fiteen packs of fruit snacks cost $3. How much do 5 paxks of fruit snack cost?

Anit [1.1K]

15/3 = 5/x

15x = 15

X = $1

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3 years ago

Tell whether (-3, 3) is a solution of the system.

pickupchik [31]

Yes; to figure this out just plug the x,y values into the equation and make sure they come out true

3 0

3 years ago

Read 2 more answers

PLEASE ANSWER FAST!!! Eloise's rabbit cage is shaped like a rectangular prism. The cage has a height of 28 inches and a volume o

lisabon 2012 [21]

The area of the plastic mat on the bottom of the cage is 310 inches²

Step-by-step explanation:

Eloise's rabbit cage is shaped like a rectangular prism

The cage has a height of 28 inches
Its volume is 8,680 cubic inches
Eloise bought a plastic mat for the bottom of the cage, the plastic mat fits the bottom of the cage perfectly

We need to find the area of the plastic mat on the bottom of the cage

The volume of a rectangle prism = area of base × its height

∵ The height of the cage = 28 inches

∵ The volume of the cage = 8,680 inches³

- Substitute them in the rule of the volume above

∴ 8680 = area of base × 28

- Divide both sides by 28

∴ 310 = area of the base

∴ The area of the base of the cage is 310 inches²

∵ The plastic mat fits the bottom of the cage

- That means the area of the plastic mat is equal to the area

of the bottom of the cage

∴ The area of the plastic mat = 310 inches²

The area of the plastic mat on the bottom of the cage is 310 inches²

Learn more:

You can learn more about the volume in brainly.com/question/12497249

#LearnwithBrainly

7 0

3 years ago