Find the gradient of the line 3y=2x/3+4
1 answer:
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Answer:
a) $2.75
b) $2.2
c) Second tomato option is better value option.
Step-by-step explanation:
First option to buy tomatoes = $2.75 per pound
Second option to buy tomatoes:
To buy a box which is a 5 pound box and the price is $11.
To find:
a) Unit price for the first tomato option.
b) Unit price for the second tomato option.
c) Better value option on the basis of price.
Solution:
Let the consider the unit here to be a pound.
So, we will find the price of tomato per pound to find the unit price of tomato.
a) Unit price of the first tomato option is : $2.75 per pound
b) Unit price of the second tomato option:
Price for 5 pounds = $11
Dividing both sides with 5 to find the price of 1 pound or unit price.
Price for = 1 pound =
c) To find the better value option, we can compare the unit prices of the two tomato options.
Here, we have the two tomato options with unit prices as:
$2.75 and $2.2
Second tomato option has a lower unit price, therefore, <em>second option</em> is better value option on the basis of price.
Answer:
No; Because g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R
Step-by-step explanation:
Assuming: the function is in [0,1]
And rewriting it for the sake of clarity:
Does there exist a differentiable function g : [0, 1] →R such that g'(x) = f(x) for all g(x)=x² ∈ [0, 1]? Justify your answer
1) A function is considered to be differentiable if, and only if both derivatives (right and left ones) do exist and have the same value. In this case, for the Domain [0,1]:
2) Examining it, the Domain for this set is smaller than the Real Set, since it is [0,1]
The limit to the left
g'(x)=f(x) then g'(0)=f(0) and g'(1)=f(1)
3) Since g'(0) ≠ g'(1), i.e. 0≠2, then this function is not differentiable for g:[0,1]→R
Because this is the same as to calculate the limit from the left and right side, of g(x).
This is what the Bilateral Theorem says: