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Let us translate the sentence into mathematics step by step:
There are twice as many as blue cubes as yellow cubes
2 x yellow = 2 cubes = blue
1 cube = yellow
There are four times as many as green cubes as blue cubes
4 x 2 ( blue cubes ) = 8 cubes = green
Total cubes = yellow + blue + green
= 1 + 2 + 8
= 11
Hannah takes random cube
Probability that Hannah takes yellow cube:
P = number of Yellow cubes ÷ Total number of cubes
P =
Let us translate the sentence into mathematics step by step:
There are twice as many as blue cubes as yellow cubes
2 x yellow = 2 cubes = blue
1 cube = yellow
There are four times as many as green cubes as blue cubes
4 x 2 ( blue cubes ) = 8 cubes = green
Total cubes = yellow + blue + green
= 1 + 2 + 8
= 11
Hannah takes random cube
Probability that Hannah takes yellow cube:
P = number of Yellow cubes ÷ Total number of cubes
P =
A(-1;14), x=-1, y=14
B(2;-10), x=2, y=-10
General equation for linear function is
Let's solve system of equations
<h3>Answer:</h3>
You can try the choices to see which one works. The differences between an values double each time. They have the sequence 1, 2, 4, 8. So, you know that choices A) and D) do not work. They show the difference to be constant at 1 or 8. Since the differences are multiplied by 2, C) is a reasonable choice. Trying that, we find it describes the sequence perfectly:
a2 = 2·2 -1 = 3
a3 = 2·3 -1 = 5
a4 = 2·5 -1 = 9
a5 = 2·9 -1 = 17
___
Trying choice B on the last term, we have
... a5 = 3·a4 -3 = 3·9 -3 = <em>24 ≠ 17</em>