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Ivanshal [37]
2 years ago
6

Part A

Mathematics
1 answer:
Ber [7]2 years ago
7 0

Answer:learn your self

Step-by-step explanation:

Lol

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Find the product of (x – a) and (x - b).
yawa3891 [41]

(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>

6 0
3 years ago
Given the functionf ( x ) = x^2 + 7 x + 10/ x^2 + 9 x + 20
vladimir1956 [14]

<em>x = -4 is a vertical asymptote for the function.</em>

<h2>Explanation:</h2>

The graph of y=f(x) is a vertical has an asymptote at x=a if at least one of the following statements is true:

1) \ \underset{x\rightarrow a^{-}}{lim}f(x)=\infty\\ \\ 2) \ \underset{x\rightarrow a^{-}}{lim}f(x)=-\infty \\ \\ 3) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty \\ \\ 4) \ \underset{x\rightarrow a^{+}}{lim}f(x)=\infty

The function is:

f(x)=\frac{x^2+7x+10}{x^2+9x+20}

First of all, let't factor out:

f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20} \\ \\ f(x)=\frac{x(x+5)+2(x+5)}{x(x+5)+4(x+5)} \\ \\ f(x)=\frac{(x+5)(x+2)}{(x+5)(x+4)} \\ \\ f(x)=\frac{(x+2)}{(x+4)}, \ x\neq  5

From here:

\bullet \ When \ x \ approaches \ -4 \ on \ the \ right: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(-4^{+}+2)}{(-4^{+}+4)} \\ \\ \\ The \ numerator \ is \ negative \ and \ the \ denominator \\ is \ a \ small \ positive \ number. \ So: \\ \\ \underset{x\rightarrow -4^{+}}{lim}\frac{(x+2)}{(x+4)}=-\infty

\bullet \ When \ x \ approaches \ -4 \ on \ the \ left: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=? \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(-4^{-}+2)}{(-4^{-}+4)} \\ \\ \\ The \ numerator \ is \ a \ negative \ and \ the \ denominator \\ is \ a \ small \ negative \ number \ too. \ So: \\ \\ \underset{x\rightarrow -4^{-}}{lim}\frac{(x+2)}{(x+4)}=+\infty

Accordingly:

x=-4 \ is \ a \ vertical \ asymptote \ for \\ \\ f(x)=\frac{x^2+5x+2x+10}{x^2+5x+4x+20}

<h2>Learn more:</h2>

Vertical and horizontal asymptotes: brainly.com/question/10254973

#LearnWithBrainly

5 0
3 years ago
HELP ME RN PLEASEEEE<br> [WILL GIVE BRAINLY TO CORRECT AND BEST EXPLAINED ANSWER]
VMariaS [17]

Answer:

\boxed {\boxed {\sf d= \sqrt{34}}}

Step-by-step explanation:

We want to find the distance between two points, so the following formula is used.

d= \sqrt{(x_2-x_1)^2+(y_2-y_1)^2

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:

  • x₁= -2
  • y₁= -1
  • x₂= 3
  • y₂= 2

Substitute the values into the formula.

d= \sqrt {(-2-3)^2+(2--1)^2

Solve the parentheses.

  • -2 -3 = -5
  • 2--1 = 2+ 1 = 3

d= \sqrt{(-5)^2+(3)^2

Solve the exponents.

  • (-5)²= -5*-5= 25
  • (3)²= 3*3=9

d= \sqrt{25+9}

Add.

d= \sqrt{34}

This radical cannot be simplified, so the distance between the two points is <u>√34</u> and <u>choice 3 </u> is correct.

6 0
2 years ago
Read 2 more answers
The Trial Urban District Assessment (TUDA) is a government-sponsored study of student achievement in large urban school district
Bas_tet [7]

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.

4 0
3 years ago
In a recent survey, 78% of students at Lincoln Middle School said they plan to attend a camp this summer. Write this percent as
prohojiy [21]

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>

3 0
3 years ago
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