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irina1246 [14]
3 years ago
10

Which table represents a direct variation function?

Mathematics
2 answers:
leonid [27]3 years ago
8 0
3 i think it might be

konstantin123 [22]3 years ago
3 0

Answer:

The correct option is 3.

Step-by-step explanation:

A function is direct variation function if

y\propto x

y=kx

where, k is the constant of proportionality.

It means the value of y is k times of x. Only table 3 represents a direct variation function because each value of y is -2 times of x.

y=-2x

At x=-5,

y=-2(-5)=10

At x=-4,

y=-2(-4)=8

At x=-3,

y=-2(-3)=6

At x=-2,

y=-2(-2)=4

At x=-1,

y=-2(-1)=2

Therefore the correct option is 3.

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how to break into the white house in Washington dc please need help will mark brainliest very important.
Paraphin [41]

Answer: White House tours are scheduled on a first come, first served basis and they must be requested a minimum of 21 days in advance of your visit. Requests can be submitted up to three months in advance. The earlier, the better as only a limited number of spaces are available.

Step-by-step explanation:  u need to tour to get in

5 0
2 years ago
What is the difference between absolute value negative 3 and -3
PolarNik [594]
They both have the same absolute value. Their absolute value would be 3
3 0
2 years ago
Could the inverse of a non-function be a function? Explain or give an example.
Kitty [74]

Answer:

The inverse of a non-function mapping is not necessarily a function.

For example, the inverse of the non-function mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! is the same as itself (and thus isn't a function, either.)

Step-by-step explanation:

A mapping is a set of pairs of the form (a,\, b). The first entry of each pair is the value of the input. The second entry of the pair would be the value of the output.  

A mapping is a function if and only if for each possible input value x, at most one of the distinct pairs includes x\! as the value of first entry.

For example, the mapping \lbrace (0,\, 0),\, (1,\, 0) \rbrace is a function. However, the mapping \lbrace (0,\, 0),\, (1,\, 0),\, (1,\, 1) \rbrace isn't a function since more than one of the distinct pairs in this mapping include 1 as the value of the first entry.

The inverse of a mapping is obtained by interchanging the two entries of each of the pairs. For example, the inverse of the mapping \lbrace (a_{1},\, b_{1}),\, (a_{2},\, b_{2})\rbrace is the mapping \lbrace (b_{1},\, a_{1}),\, (b_{2},\, a_{2})\rbrace.

Consider mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\!. This mapping isn't a function since the input value 0 is the first entry of more than one of the pairs.

Invert \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! as follows:

  • (0,\, 0) becomes (0,\, 0).
  • (0,\, 1) becomes (1,\, 0).
  • (1,\, 0) becomes (0,\, 1).
  • (1,\, 1) becomes (1,\, 1).

In other words, the inverse of the mapping \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! would be \lbrace (0,\, 0),\, (1,\, 0),\, (0,\, 1),\, (1,\, 1) \rbrace\!, which is the same as the original mapping. (Mappings are sets. There is no order between entries within a mapping.)

Thus, \lbrace (0,\, 0),\, (0,\, 1),\, (1,\, 0),\, (1,\, 1) \rbrace\! is an example of a non-function mapping that is still not a function.

More generally, the inverse of non-trivial ellipses (a class of continuous non-function \mathbb{R} \to \mathbb{R} mappings, including circles) are also non-function mappings.

3 0
2 years ago
Find two consecutive positive integers such that the sum of their squares is 421
alexandr402 [8]
14 and 15
14^2 = 196
15^2 = 225
225+196 = 421
6 0
2 years ago
The sum of the angles in a hexagon is 720°.
qwelly [4]

Given:

The sum of the angles in a hexagon is 720°.

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

To find:

(a) Equation to solve the value of x.

(b) The value of x.

(c) The measure of angle C.

Solution:

(a)

We have,

m\angle A=90^\circ,m\angle B=126.87^\circ,m\angle C=(3x)^\circ,m\angle D=90^\circ, m\angle E=143.13^\circ, m\angle F=143.13^\circ.

The sum of the angles in a hexagon is 720°.

m\angle A+m\angle B+m\angle C+m\angle D+m\angle E+m\angle F =270^\circ

90^\circ+126.87^\circ+(3x)^\circ+90^\circ+143.13^\circ+143.13^\circ =270^\circ

90+126.87+(3x)+90+143.13+143.13 =720

Therefore, the required equation is 90+126.87+(3x)+90+143.13+143.13 =720.

(b)

On solving the above equation, we get

593.13+3x =720

3x =720-593.13

3x =126.87

Divide both sides by 3.

x =\dfrac{126.87}{3}

x =42.29

Therefore, the value of x is 42.29.

(c)

We need to find the measure of angle C.

m\angle C=(3x)^\circ

m\angle C=(3\times 42.29)^\circ

m\angle C=126.87^\circ

Therefore, the measure of angle C is 126.87 degrees.

7 0
3 years ago
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