Rewriting the equation as a quadratic equation equal to zero:
x^2 - x - 30 = 0
We need two numbers whose sum is -1 and whose product is -30. In this case, it would have to be 5 and -6. Therefore we can also write our equation in the factored form
(x + 5)(x - 6) = 0
Now we have a product of two expressions that is equal to zero, which means any x value that makes either (x + 5) or (x - 6) zero will make their product zero.
x + 5 = 0 => x = -5
x - 6 = 0 => x = 6
Therefore, our solutions are x = -5 and x = 6.
Answer:

Step-by-step explanation:
We are asked to find the measure of each exterior angle of a regular dodecagon.
We know that a regular dodecagon is a 12 sided regular polygon with each side equal.
We know that measure of each angle of n-sided regular polygon can be found using formula:

Upon substituting
in above formula, we will get:


Therefore, the measure of each exterior angle of a regular dodecagon is 30 degrees.
Answer:
... inputs.
Step-by-step explanation:
A function is a map of inputs to outputs. The domain of a function is the set of <em>inputs</em> for which outputs are defined.
Well, if he uses 3/8 cup per loaf and makes 6 loaves then basically all you will need to do is 3/8 times 6 which =s 24/8. And how many times does 8 go into 24? 3 times, so Carlos will use 3 cups of brown sugar for his banana bread loaves.
Hope this helps!:);)
Answer:
6x - 18
Step-by-step explanation:
5x + 3y + x- 3y +(-3) + (-15)