The Bowling/Laser Tag Decision: A group of friends must decide how many games of bowling and laser tag to play. They decide to p
1 answer:
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Answer:
A horizontal translation of 5 units to the left.
Step-by-step explanation:
Given the parent linear function:
To shift vertically n units, we can simply add n to our function. Hence:
So, a vertical shift of 5 units up implies that n=5. So:
As given.
However, to shift a linear function horizontally, we substitute our x for (x-n), where n is the horizontal shift. So:
Where n is the horizontal shift.
For example, if we shift our parent linear function 1 unit to the right, this means that n=1. Therefore, our new function will be:
Or:
We notice that this is also a vertical shift of 1 unit downwards.
Therefore, we want a number n such that -n=5.
So, n=-5.
Therefore, it we shift our function 5 units to the left, then n=-5.
Then, our function will be:
Hence, we can achieve f(x)=x+5 from f(x)=x using a horizontal translation by translating our function 5 units to the left.
Answer:
1.
2.
Step-by-step explanation:
1. You know that the average mass of an onion is 115 grams and Bill needs 4.0 pounds.
Then, since , we can make the following conversion:
Then, the number of onions Bill needs is:
≈
2. Since , we can make the following conversion:
Knowing that all the potatoes sold today at the store bring in $1,420 and 4.98 kilograms of potatoes is $1.75, we can calculate the amount of kilograms the grocery shoppers bought: