Three friends go grocery shopping........... answer the question
2 answers:
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is the result of multiplying (3x-1) to the second power and (x+6) to the second power
Given that we have to find the result of multiplying polynomials (3x-1) to the second power and (x+6) to the second power
"Second power" means the term is raised to power of 2
Therefore,
We have to multiply
We can use the algebraic identity to expand the above expression
Applying these in above expression, we get
Multiply each term in first bracket with each term in second bracket
Simplify the above expression
Combine the like terms
Thus the above expression is the result of multiplying (3x-1) to the second power and (x+6) to the second power
Answer:
In 2026 car will have a value of $5,000.
Step-by-step explanation:
We have been given that Jack bought a new car in 2014 for 28,000. If the value of the car decreases by 14% each year.
Since we know that an exponential function is in form: , where,
a = Initial value,
b = For decay or decrease b is in form (1-r), where r represents decay rate in decimal form.
Let us convert our given decay rate in decimal form.
Upon substituting a =28,000 and r=0.14 in exponential decay function we will get,
, where x represents number of years after 2014.
Therefore, the function represents the value of car x years after 2014.
To find the number of years it will take to car have the value of $5,000, we will substitute y=5,000 in our function.
Let us divide both sides of our equation by 28,000.
Let us take natural log of both sides of our equation.
Using natural log property we will get,
As in the 12th year after 2014 car will have a value of $5,000, so we will add 12 to 2014 to find the year.
Therefore, in 2026 car will have a value of $5,000.