If there are only 40 lottery tickets for the big game one of which is a winning ticket, and you buy 11 tickets at random, what i
1 answer:
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Hi there!
The answer is:
Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2
The answer is:
Let the input be represented by X. We can see we have to multiply it by -3/4, so we get -3/4X. To find our outcome (which is represented by y), we only have to add 2 to the function.
y (outcome) = - 3/4x (income) + 2
<h2>Steps:</h2>
So firstly, this function is asking us to divide f(x) by g(x) so let's set that up as such:
Next, remember that <u>dividing by a number is the same as multiplying by its reciprocal.</u> To find the reciprocal of a number, flip the numerator and denominator around. With this info, flip the second fraction to it's reciprocal and change the sign to multiplication:
Next, we are going to factor x² - x - 6. Firstly, what two terms have a product of -6x² and a sum of -x? That would be -3x and 2x. Replace -x with 2x - 3x:
Next, factor x² + 2x and -3x - 6 separately. Make sure that they have the same quantity on the inside of the parentheses:
Now you can rewrite it as:
Next, multiply:
Next, divide:
And lastly, simplify:
- A good tip:
<u>The correct option is C. x² + 4x + 4.</u>