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Question:
The relationship between t and r is expressed by the equation 2t+3r+6 = 0. If r increases by 4, which of the following statements about t must be true?
Answer:
The value of t is reduced by 6 when the value of r is increased by 4
Step-by-step explanation:
Given
Required
What happens when r is increased by 4
<em>-------- Equation 1</em>
Subtract 2t from both sides
--- <em>Equation 2</em>
When r is increased by 4, equation 1 becomes
Note that the increment of r also affects the value of t; hence, the new value of t is represented by T
Open bracket
Rearrange
<em>Substitutr -2t for 3r + 6 [From equation 2]</em>
Make T the subject of formula
Divide both sides by 2
This means that the value of t is reduced by 6 when the value of r is increased by 4
Using the power rule, the derivatives are given as follows:
a) .
b) .
Suppose we have a power function given by:
The derivative of the function is given by:
Item a:
The function is:
Then the derivative is:
When x = 2, the derivative is:
Item b:
The function is:
Then the derivative is:
When x = 3, the derivative is:
More can be learned about derivatives at brainly.com/question/2256078
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