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maggie2018
05.04.2020 •
Mathematics
Determine the total cost of the automobile after the down payment and finance cost.
Price of the car: $42,000.00
percent down: 14%
Finance cost 40 months at $1,100.00
$44,000.00
$4,988.00
$5,880.00
$49,880.00
Solved
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Ответ:
It's a
Step-by-step explanation:
This is a quadratic expression with the highest power of X being 2.
The coefficient of X² = 1
Note that the general form of a quadratic equation is aX² + bX + C
In this question,
a = 1
b = 7
C = 10
First step is to multiply a and C ( a x C)
= 1 X 10 = 10
Then, find 2 factors of 10 which can both add up to give 7, the coefficient of X given in the question.
The possible factors of 10 are 5 and 2. The sum of 5 and 2 is
5 + 2
Hence, the equation can be written as;
X² + 7X + 10 = X² + 5X + 2X + 10
The next step is to group using a bracket and factorise each bracket individually
(X² + 5X) + (2X + 10) =
X( X + 5) + 2( X + 5) =
(X + 5) (X + 2)
(X + 5) (X + 2) are the factors of the quadratic equation, X² + 7X + 10