The domain is all the x-values you can use with this function. When dealing with a function like this, you need to ask yourself, what would make the bottom equal to 0? Whatever those numbers are, you do NOT want them in your domain.
A fundamental rule is that you cannot divide by 0 or have 0 as a denominator.
So, you solve x^2+6x=0 to find that x=0 or x=-6 would make the denominator 0.
The domain is everything BUT those two values, because they essentially break your function.
Move all terms to one sides
3x^2 - 14x - 5 = 0
Split the second term in 3x^2 - 14x - 5 into two terms
3x^2 + x - 15x - 5 = 0
Factor out the common terms in the first two terms, then in the last two terms;
x(3x + 1) - 5(3x + 1) = 0
Factor out the common term 3x + 1
(3x + 1)(x - 5) = 0
Solve for x;
<u>x = -1/3, 5</u>
Answer:
90 games
Step-by-step explanation:
Of the 120 games the football team played, they won 75% of them.
Remember that in mathematics, "of" almost always means to multiply. Here, that means we must multiply 75% by 120:
75% * 120
Remember also that % just means divided by 100, so 75% = 75 / 100. So:
75% * 120 = (75/100) * 120 = 9000/100 = 90 games
