500 - 116 = 384 left to collect
384 divided into 3 weeks = 128
They must collect $128 per week in order to reach their goal of $500.
Answer:
Step-by-step explanation:
If the engine torque y (in foot-pounds) of one model of car is given by y=−3.75x^2+23.2x+38.8
The engine speed is at maximum if dy/dx = 0
dy/dx = -2(3.75)x+23.2
dy/dx = -7.5x + 23.2
since dy/dx = 0
0 = -7.5x + 23.2
7.5x = 23.2
x = 23.2/7.5
x = 3.093
Hence the maximum torque is 3.09 rev/min
Common factor is 4X
Rewriting the term we get: 
Step-by-step explanation:
We need to find the common factor of the expression: 
A common factor is the term that is common in all the terms of the expression.
In the given expression the common factor is: 4X because it is common in both terms
So, Common factor is 4X
Rewriting the term we get:
Keywords: Factors
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The required simplified solution of the given expression is -40.
Given that,
To determine the simplified solution of the given expression 10c - cd + d³ at c = -6 and d = 2.
<h3>What is simplification?</h3>
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
= 10c - cd + d³
Substitute the values,
= -60 + 12 + 8
= -40
Thus, the required simplified solution of the given expression is -40.
Learn more about simplification here:
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Two angles that add up to 180 is supplementary
