Luke has a bag of 70 colored marbles. The bag has an equal number of green and blue marbles and an equal number of red and yello
2 answers:
Answer:
There are 11 yellow marbles in the bag.
Step-by-step explanation:
We are given the following information:
Total number of marbles in bag = 70
Number of green marble = Number of blue marbles
Number of red marbles = Number of yellow marbles
Green marbles are arranged in groups of 8 and blue marbles are arranged in groups of 6.
Number of green/blue marble = L.C.M of 8 and 6 .
Thus, there are 24 green marbles and 24 blue marbles.
Thus, there are 70 - 48 = 22 red and yellow marbles.
Since, number of red and yellow marbles are equal, there are 11 red and 11 yellow marbles in the bag.
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Answer:
Dilation followed by Translation.
Step-by-step explanation:
We have the function .
The new transformed function is
Now, the transformation applied to f(x) to obtain g(x) are:
1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.
Since, we are dilating the given function by 2 units, the new dilated function becomes .
2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.
As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes .
Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.