Answer:
Step-by-step explanation:
f(x) = 50 - 2x
x = 0 when the vitamins are bought and none have been taken 9 that is day 0).
So the intercept on the y axis 50 - 2(0) = 50 represents this situation ( day = 0 and number of vitamins = 50).
When all the vitamins have been taken f(x) = 0 so we have
50 - 2(25) = 0 This is the intercept on the x axis ( x = 25 days).
Answer:
y =
x²
Step-by-step explanation:
Given that y and x² are directly proportional then the equation relating them is
y = kx² ← k is the constant of proportion
When x = 2
y = k × 2² = 4k
When x = 5
y = k × 5² = 25k
Then
25k - 4k = 20 ( difference between values is 20 )
21k = 20 ( divide both sides by 21 )
k = 
y =
x² ← equation of proportion
Answer:
6
Step-by-step explanation:
Total number of subsets is given as

But the subset of a set consists of the proper subsets, an empty set and the set itself.
Total number of subsets are 64
Therefore,


Comparing both sides

Answer:
6.75 hrs are missing
Step-by-step explanation:
First, change all fractions into decimals:
8 = 8
7 1/4 = 7 + 0.25 = 7.25
8 1/2 = 8 + 0.50 = 8.50
Next, add all numbers gotten together:
8 + 7.25 + 8.50 = 23.75
Subtract the number gotten from the total
30.5 - 23.75 = 6.75
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