<u>Answer:</u>
8
<u>Step-by-step explanation:</u>
We are given the following expression and we are to find the simplest form of this expression:
First of all, we will factor the coefficient:
Rewriting it as:
Applying the exponent rule 
to get:
Summarizing the problem, there are three terms that you have to deal with: purchasing cost, down payment and loan. So, you would expect that the answer would contain these quantities. Among them, the unknown is the purchasing cost, therefore, we denote this as x.
<span>Based on the statement, "The amount of the loan is the purchase cost minus the down payment", we can formulate an equation for this.
Amount of Loan = x - Down payment
This will be our working equation. Moving on, the down payment was mentioned to be equal to </span>$1500. The lean received is equal to <span>$2600. Substituting these values to the working equation, we can now determine the value of x.
2600 = x - 1500
Solving for x by transposing it to one side,
x = 2600-1500
x = $1,100
Therefore, the purchasing cost of the car is $1,100.</span>
We have that
<span>(c-4)/(c-2)=(c-2)/(c+2) - 1/(2-c)
</span>- 1/(2-c)=-1/-(c-2)=1/(c-2)
(c-4)/(c-2)=(c-2)/(c+2)+ 1/(c-2)------- > (c-4)/(c-2)-1/(c-2)=(c-2)/(c+2)
(c-4-1)/(c-2)=(c-2)/(c+2)---------------- > (c-5)/(c-2)=(c-2)/(c+2)
(c-5)/(c-2)=(c-2)/(c+2)------------- > remember (before simplifying) for the solution that c can not be 2 or -2
(c-5)*(c+2)=(c-2)*(c-2)------------------ > c²+2c-5c-10=c²-4c+4
-3c-10=-4c+4----------------------------- > -3c+4c=4+10----------- > c=14
the solution is c=14
the domain of the function is (-∞,-2) U (-2,2) U (2,∞) or
<span>all real numbers except c=-2 and c=2</span>
You plug in 2x + 4 into the y for the other equation (3x +y ) and solve for it
Answer:
Step-by-step explanation:
abc = 1
We have to prove that,
We take left hand side of the given equation and solve it,
Since, abc = 1,
and c = 
By substituting these values in the expression,
Which equal to the right hand side of the equation.
Hence,
