What is the domain of the function y=2/x-5

Answer:

Step-by-step explanation:

If we multiply x - 7 by x - 3, we get x^2 - 10x + 21.  This shows that the LCD is x^2 - 10x + 21, or (x - 7)(x - 3).  Let's convert each of the two fractions on the right to their equivalents, with the LCD in the denominator.

Multiplying both the numerator and the denominator of 6/(x - 7) by (x - 3), we get 6(x - 3) over x^2 - 10x + 21, which is the LCD.

Similarly, we get 5(x - 7) over x^2 - 10x + 21.

Now all three of the original fractions have the same denominator, x^2 - 10x + 21.  We can now "drop" the LCD, which leaves us with:

x^2 - 29 = 6(x - 3) + 5(x - 7)  

Performing the indicated multiplications, we get:

x^2 - 29 = 6x - 18 + 5x - 35.  Combining like terms:

x^2 - 29 = 11x - 53, or x^2 - 11x + 24 = 0

This factors as follows:   x^2 - 11x + 24 = 0 = (x - 3)(X - 8) = 0

Then the preliminary solutions are x = 3 and x = 8.  Unfortunately, we cannot substitute x = 3 into the original equation, because that would lead to division by zero.  The only valid solution is x = 8, since every term of the original equation is defined at x = 8, and the equation is true for this value.

Repeat:  3 cannot be a solution because the 3rd fraction is undefined at

x = 3.  So we have only one valid solution (8) with no other solution to multiply by 8.

Answer: You may divide by a variable. But only if you know the variable is non-zero. So, if setting the variable to zero makes both sides of the equation zero, we have a solution that that variable is 0, or the equation with the variable divided out holds. E.g. solve x(x-1) = 0.

Answer:

Step-by-step explanation:

order of PEMDAS

simplify multiplication:

[tex] \displaystyle \: \sqrt{ {65}^{2} } [/tex]

use [tex]\sqrt{x^m}=x^{\frac{1}{2}\times m}[/tex] to simplify:

[tex] \displaystyle \: = {65}^{2 \times \frac{1}{2} } \\ = {65}^{ \cancel{ \: 2 }\times \frac{1}{ \cancel{ \: 2}} } \\ = {65}^{1} [/tex]

as we know x¹=x

therefore our final answer is

Answer:

[tex]65[/tex]

[tex] \sqrt{65 \times 65} \\ = 65[/tex]

Answer:

DJthresh

ugh yet the wasn't Hagel

Answer:

30

Step-by-step explanation:

took the test

Answer:

24

Step-by-step explanation:

6 x 4 = 24

Answer:

I don't know how to solve it

Answer:

x^2 + 3x + 9 + 7/x-3

Answer:

Step-by-step explanation:

The u-shaped function should have:

The only function with mentioned parameters is:

Correct option is A

The other options don't fit:

Answer:

7,000

Step-by-step explanation:

so I think u divide $42,000 by 8 and then by 7%.

yea

Answer:

14800 sq yd

Step-by-step explanation:

area of a trapeziod

Answer:

ASA

Step-by-step explanation:

ANGLE SIDE ANGLE

according to your option

Answer:

50 in. 48 in. 14 in.

Step-by-step explanation:

Answer:

6n ÷ 14

Step-by-step explanation:

the blocks are shared among the people.

Step-by-step explanation:

I can't see the question. please resend picture

Answer:

B

Step-by-step explanation:

B shows a parabola, which is a quadratic equation, not a linear one.

The association between two numerical variables measured for the same individuals is displayed in a scatterplot. One variable's values are displayed on the horizontal axis, and the other variable's values are displayed on the vertical axis. On the graph, each individual in the data is represented by a point.

A scatter plot is a type of plot or mathematical diagram using Cartesian coordinates to display values for typically two variables for a set of data. If the points are coded, one additional variable can be displayed.

here, we have,

we know that,

The relationship between two economic phenomena, such as employment and output, inflation and retail sales, and taxes and economic growth, can be visually illustrated using scatter plots.

Spread Plots. Points on a scatter (XY) plot depict how two sets of data relate to one another. Each dot in this illustration represents a person's weight in relation to their height. (The information is displayed as "Cartesian (x, y) Coordinates")

Display a connection between the data and a trend. Display all data points, including outliers, minimum, and maximum values. can draw attention to relationships. the sample size and exact data values are retained.

To learn more about scatterplots refer to:

brainly.com/question/6592115

#SPJ7

Answer:

QS is a triangle. Because QS are connected and split down the middle which made a triangle.

Step-by-step explanation:

Answer:- 1/100 degrees Fahrenheit

Step-by-step explanation:

The directions say decreasing so it has to be negative, and the slope is showing how much it is decreasing every meter. y=mx+b. The mx is the slope which is where the answer is located.

Answer:

A's coordinates are:

A. (-4, 3)

Step-by-step explanation:

Because the x  always goes first,

So that will mean -4 will go first.

After you have -4 down, you will see that A's point on the graph is (-4, ?)

To answer the ?, you will have to check the y.

Because remember, The x-coordinate always comes first, followed by the y-coordinate.

So, it will be (-4, 3)

and 3 will be the fill in for y.

I hope this helps     :)

Answer:

10 cm i think

Step-by-step explanation:

but i dont know.

Answer

:Assuming you are talking about odium chloride,NaCl your answer would be

87.7 g

we discover the answer because 1 x 22.99 + 1 x 35.99= 58.4 g/mol

1.50 Moles:

We need to multiply our initial  value by 1.50.

1.50 x 58.44/1= 87.66 = 87.7 g

Hope this helps

                                                                       -Tobie the dog <3

Answer:

Step-by-step explanation:

You’re supposed to use the points (4,-3) and (1,-4).

Slope = (difference of y-coordinates)/(difference of x-coordinates)

= (-3 - (-4))/(4 - 1) = 1/3

Answer:

slope = [tex]\frac{1}{3}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (1, - 4) and (x₂, y₂ ) = (4, - 3) ← 2 points on the line

m = [tex]\frac{-3+4}{4-1}[/tex] = [tex]\frac{1}{3}[/tex]

Answer:

AC = 8.2 m

AD = 8.57 m

Step-by-step explanation:

The answers were rounded to the nearest hundredth, hope this helps!

angle DCF = angle DCE + angle ECF

angle DCF = 75° + 54°

angle DCF = 129°

Measure of < DCF is  [tex]129^{0}[/tex].

A figure which is formed by two rays or lines that shares a common endpoint is called an angle.

According to the figure

< DCE = [tex]75^{0}[/tex]

< ECF = [tex]54^{0}[/tex]

Measure of < DCF = < DCE + < ECF

=  [tex]75^{0}[/tex] +  [tex]54^{0}[/tex]

= [tex]129^{0}[/tex]

Hence, measure of < DCF is  [tex]129^{0}[/tex].

Find out more information about angle here

https://brainly.com/question/7116550

#SPJ2

Answer:

Binomial

Step-by-step explanation:

the polynomial has two terms 6xyz and  xy

Answer:

X=-10 most likely

Step-by-step explanation:

2x+6=x-4

2x-x=-6-4

X=-10

Answer:

x= -10

Step-by-step explanation:

2(x+3) = x-4

21 Answer:

[tex] \frac{3}{a} [/tex]

22 Answer:

[tex] \frac{1}{ {b}^{3} } [/tex]

23 Answer:

[tex] \frac{ {4a}^{2}c^{3} }{ {b}^{2} } [/tex]

24 Answer:

[tex]9c ^{4} [/tex]

25 Answer:

[tex] - \frac{1}{ {a}^{2} } [/tex]

26 Answer:

[tex] \frac{1}{ {c}^{2} } [/tex]

Step-by-step explanation:

let w = width

length = 3w-2

perimeter = 2*length + 2*width

perimeter = 2(3w-2) + 2w

perimeter = 6w - 4 + 2w

perimeter = 8w - 4

perimeter = 124 inch

8w - 4 = 124inch

+4 to each side

8w = 128inch

divide each side by 8

w = 16

length = 3w-2

           = 3(16) - 2

length = 46 inch