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3 years ago

The greatest integer function, shown below, is defined to be the greatest___ less than or equal to x.

Mathematics

1 answer:

Nataly_w [17]3 years ago

4 0

Answer:

Integer

Step-by-step explanation:

The greatest integer function, F(x)=[[x]], is defined to be the greatest integer that is less than or equal to x.

The Greatest Integer Function is also referred to as the Floor Function.

It is written as F(x)=[[x]]

The value of ⌊x⌋ is the largest or the greatest integer that is less than or equal to x

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Determine whether set of values represents an inverse variation. If yes, identify the constant of variation and write an inverse

Natasha_Volkova [10]

SOLUTION

If the table represents an inverse variation, it means that y is inversely proportional to x, written as

$\begin{gathered} y\propto\frac{1}{x} \\ \propto is\text{ a sign of proportionality } \end{gathered}$

Removing the proportionality sign and introducing a constant k, we have

$\begin{gathered} y=k\times\frac{1}{x} \\ y=\frac{k}{x} \end{gathered}$

In the first column, we have x = -4 and y = 3.5. Substituting these values for x and y, we have

$\begin{gathered} y=\frac{k}{x} \\ 3.5=\frac{k}{-4} \\ k=3.5\times-4 \\ k=-14 \end{gathered}$

So, if it's an inverse variation, the relationship would be

$y=\frac{-14}{x}$

In the second column, x = -2 and y = 7.

Now lets substitute the value of x for -2. If we get y to be 7, then the relationship is an inverse variation

We have

$\begin{gathered} y=\frac{-14}{x} \\ y=\frac{-14}{-2} \\ y=7 \end{gathered}$

Since we got y = 7, the relationship is therefore an inverse variation.

The constant k = -14

The equation for the inverse variation is

$y=\frac{-14}{x}$

3 0

1 year ago

PLEASE HELP, What is the "weight" or value of one circle in this hanger? In other words, what does one "W" have to be for this t

Ierofanga [76]

Answer:

Step-by-step explanation:

W = 25/4 = 6.25

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3 years ago

Line segment JM has endpoints with coordinates 0 and 25 on a number line. Points K and L are on segment JM. K has a coordinate o

Pepsi [2]

Answer:

D. 216/625

Step-by-step explanation:

The length of the segment JM is 25 units.
The segment JL is between 0 and 12, so is 12 units.
The segment KL is between 5 and 12, so is 7 units.

The probabilities for each point:

P(point on JL) = 12/25
P(point not on KL) = 1 - 7/25 = 18/25

Required probability:

P = 12/25*18/25 = 216/625

Correct choice is D

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3 years ago

(10x – 2) - (2x - 7) O 8x + 5 O 12.2 + 5 o 12c - 9 O 83 -9

Yuki888 [10]

Answer:

the first one

8x+5

Step-by-step explanation:

10x-2-2x+7= 8x+5

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3 years ago

Decribe how the graph of g(x)= 3/x-4+5 is a translation of g(x)=3/x

ruslelena [56]

-4 next to x value means the graph is moved 4 units to the right
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