Answer:
(x + 3)(x + 2)
Step-by-step explanation:
Given
x² + 5x + 6
Consider the factors of the constant term (+ 6) which sum to give the coefficient of the x- term (+ 5)
The factors are + 3 and + 2 , since
3 × 2 = 6 and 3 + 2 = 5 , thus
x² + 5x + 6 = (x + 3)(x + 2)
Find where the equation is undefined ( when the denominator is equal to 0.
Since they say x = 5, replace x in the equation see which ones equal o:
5-5 = 0
So we know the denominator has to be (x-5), this now narrows it down to the first two answers.
To find the horizontal asymptote, we need to look at an equation for a rational function: R(x) = ax^n / bx^m, where n is the degree of the numerator and m is the degree of the denominator.
In the equations given neither the numerator or denominators have an exponent ( neither are raised to a power)
so the degrees would be equal.
Since they are equal the horizontal asymptote is the y-intercept, which is given as -2.
This makes the first choice the correct answer.
Answer: A) y = 3x + 2
Step-by-Step Explanation:
Let ‘x’ be the number of months
Let ‘y’ be the total no. of books he read
Given:
He read 2 books before joining (+2)
He plans to read 3 books per month (3x)
Equation:
= Total no. of books = 3 multiplied by the no. of months + 2 books he had read
=> y = 3x + 2
Distribute the negative sign
Combine like terms
-9x^2 + 7x^2 = -2x^2
9x - 3x = 6x
13 - 6 = 7
<u>Answer</u>
They would have played 20 games altogether
