(x−a)(x−b)
=(x+−a)(x+−b)
=(x)(x)+(x)(−b)+(−a)(x)+(−a)(−b)
=x2−bx−ax+ab
<h2><u><em>
=ab−ax−bx+x2</em></u></h2>
<em>x = -4 is a vertical asymptote for the function.</em>
<h2>
Explanation:</h2>
The graph of
is a vertical has an asymptote at
if at least one of the following statements is true:

The function is:

First of all, let't factor out:

From here:


Accordingly:

<h2>Learn more:</h2>
Vertical and horizontal asymptotes: brainly.com/question/10254973
#LearnWithBrainly
Answer:

Step-by-step explanation:
We want to find the distance between two points, so the following formula is used.

Where (x₁, y₁) and (x₂, y₂) are the points we are finding the distance between.
We are given the points (-2, -1) and (3,2). If we match the corresponding value and variable we see that:
Substitute the values into the formula.

Solve the parentheses.
- -2 -3 = -5
- 2--1 = 2+ 1 = 3

Solve the exponents.
- (-5)²= -5*-5= 25
- (3)²= 3*3=9

Add.

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.
Answer:
A. Because the sample size is very large.
Step-by-step explanation:
The sample is quite large, so the t test is safe. With a sample size of at least 100, this test is going to be safe.
So the correct answer is:
A. Because the sample size is very large.
Answer:
<em>0.78</em>
Step-by-step explanation:
From the question, we are to represent 78% as a decimal
78% = 78/100
78/100 = 78 * 1/100
78/100 = 78 * 0.01
78/100 = 0.78
<em>hence the percent written as a decimal is 0.78</em>