Find the domain of the function. (Enter your answer using interval notation.) f(x) = 1 /(x2 + 3x − 4)

Answer:

Concept:

Here, we need to know the idea of the segment addition postulate.

The Segment Addition Postulate states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

If you are still confused, you may tell me or refer to the attachment below for a graphical explanation.

Solve:

Question 22. If AC = 16, what is x?

Given information

AC = 16

AB = x + 7

BC = 2x

Given expression deducted from the segment addition postulate

AB + BC = AC

Substitute values into the expression

x + 7 + 2x = 16

Combine like terms

x + 2x + 7 = 16

3x + 7 = 16

Subtract 7 on both sides

3x + 7 - 7 = 16 - 7

3x = 9

Divide 3 on both sides

3x / 3 = 9 / 3

[tex]\boxed {x=3}[/tex]

Question 23. What is AB?

Given information

x = 3

Given expression deducted from the segment addition postulate

AB = x + 7

Substitute values into the expression

AB = (3) + 7

[tex]\boxed {AB=10}[/tex]

Question 24. What is BD?

Given information

BC = 2x

CD = 3x - 1

x = 3

Given expression deducted from the segment addition postulate

BD = BC + CD

Substitute values into the expression

BD = 2x + 3x - 1

BD = 2(3) + 3(3) - 1

BD = 6 + 9 - 1

BD = 15 - 1

[tex]\boxed {BD=14}[/tex]

Question 25. What is CE?

Given information

CD = 3x - 1

DE = 2x + 3

x = 3

Given expression deducted from the segment addition postulate

CE = CD + DE

Substitute values into the expression

CE = 3x - 1 + 2x + 3

CE = 3(3) - 1 + 2(3) + 3

CE = 9 - 1 + 6 + 3

CE = 8 + 6 + 3

CE = 14 + 3

[tex]\boxed {CE=17}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

x-3

Step-by-step explanation:

the inverse is x-3

this is the answer

Answer:

46 and 22

Step-by-step explanation:

22 x 2 = 44

44 is 2 less than 46

46 x 22 = 1012

Answer:

187.5

Step-by-step explanation:

6% of 3125 ​

=> 6/100 x 3125

=> 18750/100

=> 187.5

Answer:

6

Step-by-step explanation:

|72| ÷ |-12|

Absolute value of 72 = 72

Absolute value of -12 = 12

72 ÷ 12 = 6

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Step-by-step explanation:

q17

[tex]d = \sqrt{ {(7 - 7)}^{2} + {(6 - ( - 1))}^{2} } = 7[/tex]

q18

[tex]d = \sqrt{ {(5 - 5)}^{2} + {(3 - ( - 5))}^{2} } = 8[/tex]

q19

[tex]d = \sqrt{ {(12 - ( - 1))}^{2} + {(0 - 0)}^{2} } = 12[/tex]

q20

[tex]d = \sqrt{ {(10 - 2)}^{2} + {(0 - ( - 6))}^{2} } = 10[/tex]

q21

[tex]d = \sqrt{ {(3 - ( - 4))}^{2} + {(( - 4) - 20)}^{2} } = 25[/tex]

q22

[tex]d = \sqrt{ {(( - 3) - ( - 5))}^{2} + {(( - 2) - 5)}^{2} } = 7.1[/tex]

Answer:

Step-by-step explanation:

x(x² + 2x + 4)-2((x² + 2x + 4)

x³+2x²+4x -2x²-4x-8

x³-8

Answer:

B. [tex]\frac{5}{8}[/tex]

Explanation:

Because the denominators (bottom numbers) of both fractions are the same, we simply just add the numerators (top numbers) and keep 8 as the denominator.

Answer:

37

Step-by-step explanation:

Answ 925

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Answer: -5 i guess i might b wrong i dont know -5

Step-by-step explanation:

Answer:

C. 1130

BRAINLIEST, PLEASE!

Step-by-step explanation:

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

The value of the missing number is 1130.

The missing number in the series can be determined by finding the common difference or pattern of the numbers.

let the common difference = d

1109 + 7 = 1116

1116 + 7 = 1123

1123 + 7 = 1130

Thus, the value of the missing number is 1130.

Learn more about missing numbers here: https://brainly.com/question/1241542

Answer:

B

Step-by-step explanation:

For a function to be a function, every x value can only equal a single y value. A has two y values for one x value, and so does C and D. This leaves only B.

Answer:

Ig its 22:3

Step-by-step explanation:

First we add all the gifts and put it in the ratio and the other is 3 dvds

Answer:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Step-by-step explanation:

Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]

Plug in the center and radius:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]

Simplify:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Answer:

i had this question a little while back and the right answer was

d. a satellite orbiting the Earth.

(:

Answer:

Step-by-step explanation:

The area of the triangle is

B*h/2

Where B=x+5 and h=x-2 so if we substitute

(x+5)*(x-2)/2 =

(x^2 +3*x -10)/2=

x^2/2 + 3/2 *x -5

Answer:

[tex]12w+24[/tex]

Step-by-step explanation:

[tex]9w−3(−w−8)[/tex]

[tex]9w+(−3)(−w)+(−3)(−8)[/tex]

[tex]9w+3w+24[/tex]

[tex](9w+3w)+(24)[/tex]

[tex]12w+24[/tex]

In the simplest form we can write the expression as - 12(w + 2).

We have the following expression -

9w - 3(- w - 8)

We have to write it in simplest form.

Expanding we get -

Δ = x(x - β) - α(x - β)

Δ = [tex]x^{2}[/tex] - βx - αx + αβ

According to the question, we have -

9w - 3(- w - 8)

Simplifying it, we get -

9w + 3(w + 8)

9w + 3w + 24

12w + 24

12(w + 2)

Hence, in the simplest form we can write the expression as - 12(w + 2).

To solve more questions on Simplifying expressions, visit the link below-

https://brainly.com/question/20456437

#SPJ2

Answer:

[tex]x = 8[/tex]

Step-by-step explanation:

Recall that horizontal lines have a slope of zero, while vertical lines have an undefined slope.

Therefore, the line must be vertical.

And since it is vertical, we will only need to consider the x-coordinate of our point.

The x-coordinate of (8, -3) is 8.

Hence, the equation of the line that passes through (8, -3) with an undefined slope is:

[tex]x = 8[/tex]

Answer: x= 8

Step-by-step explanation:

It is a vertical line that passes through point 8 on the x axis.

Answer:

3-a

Step-by-step explanation:

it involves variables like x, y, z

in this case a

Answer:

-15/2

Step-by-step explanation:

5(x + 8) - 2x = 7(x + 10)

=> 5x + 40 - 2x = 7x + 70

=> 3x + 40 = 7x + 70

=> 3x - 7x = 30

=> -4x = 30

=> x = -30/4

=> x = -15/2

Answer:

6 buses

Step-by-step explanation:

i believe you just have to divide 380/68

then it'll give you 5.5 and then have to round to the nearest integer

Answer:

A. 256

Step-by-step explanation:

4×4×4×4=256

I hope this helps!

pls ❤ and mark brainliest pls!

answer : 1024

100% correct ;)

Answer:

(x+x1)(x-x2)

let x1=7 and x2=-4

(x+7)(x-(-4))

(x+7)(x+4)

x^2+4x+7x+28

x^2+11x+28

Answer:

1008 inches

Step-by-step explanation:

Step-by-step explanation:

[tex]9.62 - 3[/tex]

[tex] = 6.62[/tex]

•♧•♧•♧•♧•♧•♧•

[tex]2.57 + 7.706[/tex]

[tex] = 10.276[/tex]

•◇•◇•◇•◇•◇•◇•

[tex]15 - 6.108[/tex]

[tex] = 9.892[/tex]

Answer:

The last one

Step-by-step explanation: