X+4 / -3x^2 + 12x + 36
= x + 4 / -3 ( x^2 - 4x - 12)
= x - 4 / -3(x - 6)(x + 2)
the excluded values make the denominator = 0
so they are 6 and -2 Answer
The polynomial cannot be factored in because it exists prime. Since 112 exists not a perfect square number so we cannot estimate the factors of the given equation.
<h3>What is a quadratic equation?</h3>
In a quadratic equation ax² + bx + c = 0
when (b² - 4ac) exists a perfect square only then we can factorize the equation.
In the given equation x² - 8x - 12 we have to determine the value of
b² - 4ac
From the equation, we get b = -8 and c = -12
b²- 4ac = (-8)² - 4(1)(-12)
= 64 + 48 = 112
Since 112 exists not a perfect square number so we can not estimate the factors of the given equation.
To learn more about quadratic equation refer to:
brainly.com/question/1214333
#SPJ4
Answer:
6x + 102 = 1,140
Step-by-step explanation:
We're looking for the sum. The insurance cost 17 dollars per ticket, and there are 6 tickets, so we have to multiply. 17 times 6 is 102. Next, we subtract 102 from both sides. 6x = 1,038. Then, divide by 6. x = 173. So, one ticket costs 173. I don't know if the insurance is included, but if it is, then add 17 and you get 190.
Answer:

Step-by-step explanation:
The side-splitter theorem states that a line parallel to a side of a triangle that intersects the other two sides of said triangle divides those two sides proportionally.
Therefore, we have the proportion:

Cross-multiplying, we get:
