Answer:
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The image of the function when translated up is f'(x) = 3x + 5
<h3>How to translate the function up?</h3>
The function is given as:
f(x) = 3x
The rule of the function of a translation of 5 units up is represented as;
f'(x) = f(x) + 5
So, we have:
f'(x) = 3x + 5
Hence, the image of the function when translated up is f'(x) = 3x + 5
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Answer:
Step-by-step explanation:
Ryan works mowing lawns and babysitting. He earns $8.20 an hour for mowing and $7.70 an hour for babysitting. Therefore, the expression for the total amount that he would earn if he mows lawns for x hours and babysits for y hours would be
8.2x + 7.7y
Therefore, the amount that he would earn for 3 hours of mowing and 7hours of babysitting is
(8.2 × 3) + (7.7 × 7)
= 24.8 + 53.9
= $78.7
If there aren't any specific requirements for the equation, here are a few choices:
2³ = 8
64 / 8 = 8
2x + 4 = y (where x = 2)
x² - 1 = y (where x = 3)
The new mixture exists 56.5% peanuts.
<h3>How to estimate the total number of peanuts required for the mixture?</h3>
The first batch of 9 lb of mixed nuts possesses 40% peanuts.
This means the quantity of peanuts exists:
9 40/100 = 3.6 lb
The second batch of 9 lb of mixed nuts possesses 73% peanuts.
This means the quantity of peanuts exists:
9 73/100 = 6.57 lb
The total quantity of peanuts in the mix exists
3.6 lb + 6.57 lb = 10.17 lb
There exist 9 lb + 9 lb = 18 lb of mix.
Therefore, the percent of peanuts in the mix exists:
10.17 / 18 100 = 56.5%
The new mixture exists 56.5% peanuts.
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