Please help me on this

Mathematics

1 answer:

algol [13]3 years ago

4 0

Answer:

mean= 15.16

2/53

Step-by-step explanation:

addition of all the figures plus the next student divided by 6

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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

A teacher has a box of pens and pencils. There are 8 more pencils than pens. After the students take 1 pen and 5 pencils from th

crimeas [40]

Let no. of pens be x.

Pens : x
Pencils: x+8

Total: 2x+8

Student takes 1 pen and 5 pencils.

Remainder: 2x+8 - 5 -1 = 2x+2
2x+2 = 26
2x= 24
x = 12 (original no. of pens)
x+ 8 = 20 (original no of pencils)

There are 12 pens at first and 20 pencils.
After 1 pen is taken, 11 pens are left.
After 5 pencils are taken, 20-5=15 pencils are left.

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3 years ago

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What's the slope of the equation y=-3/5x+4?

pentagon [3]

Answer:

the slope is 3/5

Step-by-step explanation:

and if you want the y intercept it's 4

8 0

3 years ago

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