solve each inequality and graph the solution 18. -0.3x 1/2

Answer:

a. you cannot multiply both sides by x because you do not know what x is.

Step-by-step explanation:

Given:

[tex]\frac{1}{x} + 3 = \frac{3}{x}[/tex]

Required

Select which of the option that applies

Considering (a):

A is incorrect:

Because: Multiplying both sides by x has nothing to do with whether the value of x is known or not

Considering (b):

B is incorrect:

Substitute 0 for x in the given expression

[tex]\frac{1}{0} + 3 = \frac{3}{0}[/tex]

[tex]Und efi ned[/tex]

Both sides of the equation are undefined

However, you cannot assume x to be 0

Considering (c):

C is correct:

Start by multiplying both sides by x

[tex]x (\frac{1}{x} + 3) = \frac{3}{x} * x[/tex]

[tex]1 + 3x = 3[/tex]

Then, subtract 1 from both sides

[tex]1 - 1 + 3x = 3 - 1[/tex]

[tex]3x = 2[/tex]

Divide through by 3

[tex]x = \frac{2}{3}[/tex]

Considering (d):

D is incorrect;

Because, the equation is linear

Answer:

the correct answer is 20 .

Step-by-step explanation:

x^2 - ( x + 4 ) - y = ?

6^2 - ( 6 + 4 ) - 6 = ?

36 - ( 10 ) - 6 = ?

26 - 6 = 20

Answer:

Pete's: [tex]f(x) = 20x + 60[/tex]

Carla's: [tex]f(x) = 40x + 20[/tex]

Step-by-step explanation:

Let's assume that [tex]x[/tex] is the amount of rooms painted, and [tex]f(x)[/tex]

For Pete's Painting Company, they charge a flat fee of $60, so we will have a constant of 60.

They also charge 20$ per room, meaning that we will multiply 20 by [tex]x[/tex], the amount of rooms painted.

This gets us the function [tex]f(x) = 20x + 60[/tex]

For Carla's Creative Colors, they charge 20$ to hire the workers, meaning this will be our constant.

They also charge $40 a room, meaning we will multiply 40 by [tex]x[/tex], the amount of rooms painted.

So the function is  [tex]f(x) = 40x + 20[/tex].

Hope this helped!

Answer:

b^a= 4^3 =64

Step-by-step explanation:

4^3

that is 4*4*4

hope this helped!

Answer:

205 : 41

or 41 cinnamon bars

Looks like you did most of it.

The next step would be setting them equal to 105, like the problem suggests.

[tex]5z+3x+7x=105[/tex]

[tex]15x=105[/tex]

[tex]x=7[/tex]

Then we can plug back in to find the numbers.

[tex]5*7=35[/tex]

[tex]3*7=21[/tex]

[tex]7*7=49[/tex]

[tex]35+21+49=105[/tex]

The three numbers are [tex]35, 21, 49[/tex].

Hope this helps.

頑張って!

Answer:

The midpoint between 2 points is (1,2.5) .

Step-by-step explanation:

We have to apply midpoint formula :

[tex]midpoint = ( \frac{x1 + x2}{2} , \frac{y1 + y2}{2} )[/tex]

[tex]let \: (x1,y1) \: be \: ( - 8,4)[/tex]

[tex]let \: (x2,y2) \: be \:(10 , - 9)[/tex]

[tex]midpoint = ( \frac{ - 8 + 10}{2} , \frac{4 + ( - 9)}{2} )[/tex]

[tex]midpoint = ( \frac{2}{2} , \frac{ - 5}{2} )[/tex]

[tex]midpoint = (1,2.5)[/tex]

Answer:

PR=71

Step-by-step explanation:

visualize:

P                Q               R

O-------------O-------------O

       13               58

so if PQ + QR = PR, than 13+58=PR

13+58=71

PR=71

The value of the segment PR will be 71.

A line segment in geometry is a section of a line that has two clearly defined endpoints and contains every point on the line that lies within its confines.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Given that the value of the segment Qr=58 and pq=13. The value of segment PR will be calculated as below:-

PR = QR + PQ

PR  = 13 + 58

PR = 71

Therefore, the value of the segment PR will be 71.

To know more about a line segment follow

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Answer:

3x-20

Step-by-step explanation:

I had this test yesterday and this was the correct answer

The equation  D. y = 20 - 3x Megan use to find the amount of change.

An equation is is a tool that expresses two equality of two given expressions.

According to the given question Megan bought 3 pounds of apples that cost x dollars per pound. She gave the cashier a 20-dollar bill.

Let y denotes the change she received.

If 1 pound of apple cost x dollars then 3 pounds of apples will cos 3×x = 3x dollars.

∴ y = 20 - 3x.

learn more about equations here :

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Answer:

Step-by-step explanation:

In this problem (word problem), we are examined on how to express equations from words.

let us initialize some variables

let the length of the first piece (the short piece) be x

and that of the second(the longer piece) be 5x

given that the total length is 96 cm

Also from the problem statement, the total length can be expressed as

5x+x= 96

6x= 96

divide both sides by 6 to solve for x

x= 96/6

x= 16

now the longer side = 5x

        the longer side= 5*6

       the longer side = 30 cm

Answer:

its volume

Step-by-step explanation:

Answer:

Volume is the unit that measures space of an object

Answer:

cos A=

[tex] \frac{1}{ \sqrt{2} } [/tex]

Step-by-step explanation:

We know,

cotA=

[tex] \frac{1}{ \tan(a) } [/tex]

Substituting the value of cot A in the given equation, we get

[tex] \tan( a) + \frac{1}{ \tan(a) } = 2[/tex]

[tex] \frac{{ \tan }^{2} a + 1}{ \: \tan(a) } = 2[/tex]

[tex] { \tan }^{2 \: } a \: + 1 = 2 tan \: a[/tex]

[tex] { \tan }^{2} a - 2 \tan \: a + 1 = 0[/tex]

[tex]( \tan \: a - 1) {}^{2 } = 0[/tex]

[tex] \tan \: a - 1 = \sqrt{0} [/tex]

[tex] \tan \: a = 1 [/tex]

[tex] \tan \: a \: = \tan \: 45[/tex]

[tex]a = 45[/tex]

[tex] \cos \: a = \cos \: 45[/tex]

[tex] \cos \: a = \frac{1}{ \sqrt{2} } [/tex]

Answer:

Step-by-step explanation:

y = 6x − 4

y = 5x − 3

A: chose a value for x(input) and get the out put (y) because the equation already in the slope intercept mode:y=mx+b

x                   y=6x-4                  y=5x-3

1                    y=2                        y=2

2                    y=8                        y=7

0                     -4                            -3

slope  :

y=6x-4    slope is 6            y intercept(0,-4)

y=5x-3      slope is 5          y intercept (0,-3)

solution of the pair of equation is  the point of intersection :

6x-4=5x-3

6x-5x=-3+4

x=1   and y=6x-4   ⇒ y=6-4=2

Answer:

The answer will be B. 20

Step-by-step explanation:

I hope this helps you

Answer:

the square root of 2 is irrational because it cannot be written as a ratio or fraction.

Step-by-step explanation:

Answer:

BC = 26

Step-by-step explanation:

Given that:

B is the midpoint of AC

Then AC = AB + BC

AC = 8x - 20 and AB = 3x - 1

Then,

8x - 20 = (3x - 1) + BC

8x - 20 - (3x - 1) = BC

8x - 20 - 3x + 1 = BC

5x - 19 = BC

But AB = BC

5x - 19 = 3x - 1

5x - 3x = - 1 + 19

2x = 18

x = 9

Hence,

Since BC = AB = 3x - 1

3(9) - 1

27 - 1

= 26

Answer:

-4

Step-by-step explanation:

Answer:

184 jumping jacks = 4 minutes

Divide by 4 on both sides.

4/4 = 1

184/4 = 46

Delilah does 46 jumping jacks in 1 minute.

Answer:

Domain: 1, 6

Range: 4

Step-by-step explanation:

The Domain is the first coordinate which is x

The Range is the second coordinate which is y

Hope This Helps :)

Factors of 51: 1, 3, 17, 51

Factors of 68: 1, 2, 4, 17, 34, 68

As you can see the greatest common factor of both numbers is 17.

Therefore, the answer is C.

Best of Luck!

Answer:

$16.56

Step-by-step explanation:

Answer:

Carlos should get back $16.56

Answer:

x+8 i used mathaway i recommend it for math

[tex]5x - 4x + 8\\x + 8\\\\ahi queda creo \\pero si esque te confundiste y pusiste "-" en vez de poner "=" seria:\\5x = 4x + 8\\x = 8\\xd 7w7[/tex]

Answer: There are a total of 12 rocks

Step-by-step explanation:

Answer:

1.1

Step-by-step explanation:

As we move left, we multiply by 10 to obtain the new place value.

Answer:

Red balls =  84     Blue balls =  140

Step-by-step explanation:

Ok so there are 225 marbles

And ratio here is Red : Blue = 3 : 5

So Red marbles = 3x whereas Blue marbles = 5x

Therefore,

3x + 5x = 225

8x = 225

x = 28.125 = 28

Red balls = 28*3 = 84     Blue balls = 28*5 = 140

(Pls check whether total no of balls is 224)

Answer:

-19.8

Step-by-step explanation:

Answer:

Step-by-step explanation:

-9 x 2.2 = -19.8

1

2.2

X -9

-----------

- 19. 8

Answer: Your answer is 7x-13.