Which is the correct algebraic expression for the phrase, 14 more pickles than the first jar?
1 answer:
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Given the position function, the velocity function is obtained by taking the derivative:
The velocity is increasing its own derivative is positive, so we also have to find the acceleration by taking another derivative:
To find when , we first need to know where
:
The quadratic factor is always positive (its discriminant is negative), which leaves one solution at . To either side of
, we have, for instance,
which indicates that is increasing for
, making the answer A.
Answer: Hourly rate for first mechanic: $65
Hourly rate for second mechanic: $70
Step-by-step explanation:
Let x be the hourly rate for first mechanic and y be the hourly rate for second mechanic.
The first mechanic worked for 10 hours, and the second mechanic worked for 15.
So first mechanic will charge for 10 hours = 10x
Second mechanic will charge for 15 hours =15x
Together they charged a total of $1700.
i.e. --------------(1)
Sum of the two rates was $135 per hour
---------------(2)
Multiply the equation (2) by 10 on both sides , we get
--------------(3)
Eliminate equation(3) from (1) , we get
Put value of y in (2) , we get
Hence, the hourly rate for first mechanic is $65 and the hourly rate for first mechanic is $ 70.