Answer:
x = 0
Step-by-step explanation:
If p is a number other than zero, then
only if x=0.
After modelling the mathematical statement and solving its equivalent mathematical relation, we get x = -36.
<h3>What is Equation Modelling?</h3>
Equation modelling is the process of writing a given mathematical statement in the form of a numeric mathematical expression taking into considerations the operations, constants and other variables.
Given in the question is a number such that twice the difference of a number and 9 is equal to three times the sum of the number and 6.
Assume that the number is x. Now, we will model the equation and solve for x. According to the question, the following mathematical relation represents the statement-
2(x - 9) = 3(x + 6)
2x - 18 = 3x + 18
x = - 36
Therefore, the number is -36.
To solve more questions on Equation modelling, visit the link below-
brainly.com/question/13536824
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Answer:
The area after 9 years will be 1,234 km^2
Step-by-step explanation:
In this question, we are tasked with calculating what the area of a certain forest that decreases at a certain percentage would be after some years.
To answer this question, we shall be using an exponential approximation.
Now, to use this exponential approximation, we shall be needing a supporting exponential mathematical equation.
This can be written as;
A = I(1-r)^t
where A is the new area we are looking for
I is the initial area which is 1700 according to the question
r is the rate of decrease which is 3.5% = 3.5/100 = 0.035
t is time which is 9 years according to the question
We plug these values and have the following;
A = 1700(1-0.035)^9
A = 1700(0.965)^9
A = 1,233.66
This is 1,234 km^2 to the nearest square kilometer
Answer:
64
Step-by-step explanation:
