The product of 9 and a number is 12 less than three times that number. What is the number?
1 answer:
Product means multiplication
is means equal
less than means subtraction
times means multiplication
The product of 9 and a number is 12 less than three times that number.
Lets say this number is 'n'
then:
9n = 3n-12
Add 12 on both sides
9n + 12 = 3n
Subtract 9n on both sides
12 = -6n
Divide by -6 on both sides to isolate n
n= -2
Your final answer is
is means equal
less than means subtraction
times means multiplication
The product of 9 and a number is 12 less than three times that number.
Lets say this number is 'n'
then:
9n = 3n-12
Add 12 on both sides
9n + 12 = 3n
Subtract 9n on both sides
12 = -6n
Divide by -6 on both sides to isolate n
n= -2
Your final answer is
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Answer:
a) , b)
.
Step-by-step explanation:
a) The graphic is enclosed to the problem. By visual inspection, an absolute maximum is found.
b) The exact method consists in the application of the First and Second Derivative Tests. First and second derivatives are, respectively:
The First Derivative Test consists in equalizing the first derivative to zero and solving the expression:
According to the second derivative, the critical point leads to a maximum. The remaining component is determined by evaluation the polynomial:
The exact solution is , indicating that graphic solution leads to a good approximation.
