Solve. 4(a + 2) = 14 – 2(3 – 2a)
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Answer:
Step-by-step explanation:
In this problem we have a exponential function of the form
where
f(x) is the remaining mass of the element in grams
x is the time in minutes
a is the initial value (y-intercept of the exponential function)
b is the base
r is the rate
In this problem we have
---> is negative because is a decay's rate
substitute
The exponential function is equal to
For x=15 minutes
substitute in the function
2|x-2|-12=0
Rearrange variables to the left side of the question
2|x-2|=12
Dividing both sides of the equation by the coefficent of variables
|x-2|=12/2
Reduce the fraction
|x-2|=6
Split into two variables
x-2=6 or x-2=-6
Rearrange variables to the left side of the equation
x=6+2
x=8 or x=-4
when x=8
LHS=2|8-2|-12=0
RHS=0
LHS=RHS
x=8 is valid
A variable in mathematics is an alphabet or phrase that stands in for an unknowable amount, unknowable value, or unknowable number. Particularly in the case of algebraic expressions or algebra, the variables are utilised. As an illustration, the linear equation x+9=4 has the variables x and 9 as constants.
A variable is a letter or symbol that stands in for any individual integer in a group of two or more. A constant is a letter or symbol that stands for a single particular number, whether it is known or unknown.
In mathematics, variables serve as stand-ins for unknowable numbers. Variables can be utilized in formulae, equations, and expressions in mathematics. When it's necessary to find the optimum solution, variables are frequently employed.
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