What is the rate of change for the table below?

Mathematics

2 answers:

Ulleksa [173]2 years ago

4 0

Unproportional. 60/10=6
90/20=4.5
120/30=4
150/40=3.75

Allisa [31]2 years ago

3 0

Answer:

The rate of change is: as x increases by 10, y increases by 30. In other words, the rate of change is +30

Step-by-step explanation:

When calculating rate of change you see how much the y increases/decreases each time the x increases/decreases as we see, each time the x goes up by 10 the y goes up by 30.

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In a small Library there are five non-fiction books for every nine fiction book there are 130 Non-fiction books how many fiction

vova2212 [387]

Answer:

For 130 non-fiction books, the number of fiction books can be from 270 to 278.

Step-by-step explanation:

Given that, there are 5 non-fiction books for every 9 fiction books.

Observe that, if the number of fiction books is less than 9, than there will be no no-fiction books.

So, there are 5 non-fiction books for every 9 to (9+8) fiction books

So, by elementary method, there will be 5n non-fiction books for every 9n+8 fiction books, where n is a natural number.

Or, if the number of non-fiction books is 5n, then the number of fiction books will be ranging from 9n to (9n+8).

For, 150 non-fiction books, 5n=150 or n=150/5=30.

Hence, the number of fiction books can be from 9n to (9n+8).

=9x30 to (9x30+8)

=270 to 278.

Hence, for 130 non-fiction books, the number of fiction books can be from 270 to 278.

6 0

3 years ago

Consider the system of equations.

Harman [31]

The solution to the system of equations x + 2y = 1 and -3x-2y = 5 is:

x = -3, y = 2

The given system of equations:

x + 2y = 1............(1)

-3x - 2y = 5..........(2)

This can be written in matrix form as shown:

$\left[\begin{array}{ccc}1&2\\-3&-2\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$