Which of the following is the graph of the inequality y < 3x+ 1?
А
B
C
D
5
To (1.4)
(1.4)
(1.4)
5
(1.4)
(0.1)
(0.1)
€ (0, 1)
(0, 1)
-6
5
A. Graph A
B. Graph B
C. Graph C
D. Graph D

Answer:

[tex]C. \ \frac{-2}{3} , \ \frac{-4}{5}\\\\D. \ -2, \ -4[/tex]

Step-by-step explanation:

C.

[tex]30x^2 + 44x +16 = 0\\\\2(15x^2 + 22 + 8) = 0\\\\2(15x^2 + 12x + 10x + 8) = 0\\\\2(3x(5x + 4)+2(5x + 4))=0\\\\2((3x + 2)(5x + 4)) = 0\\\\Zeroes : 3x + 2 = 0 => x = \frac{-2}{3}\\[/tex]

             [tex]5x+ 4 = 0 => x = \frac{-4}{5}[/tex]

D.

[tex]10x^2 + 60x +80 = 0\\\\10(x^2 + 6x + 8)= 0\\\\10(x^2 + 4x + 2x + 8)=0\\\\10(x(x+4)+2(x+4))=0\\\\10((x+2)(x+4))=0\\\\Zeroes : x + 2 = 0 =>x = -2[/tex]

            [tex]x + 4 = 0 => x= -4[/tex]

Answer:

$16

Step-by-step explanation:

Given data

Total amount= $132,624

Cost of each hard drive=  $112

Total number of hard drive=1184

Cost of all the hard drives=  112*1184

Cost of all the hard drives=$132608

Balance will be= 132,624-132608

Balance will be= $16

Answer:

price of 5 bags of popcorn = 3.75 x 5 = 18.75

price of 8 drinks = 5 x 8 = 40

price of p bags of popcorn = 3.75 x p

price of d drinks = 5 x d

Answer:

6 cm

Step-by-step explanation:

Given :

base is 9cm, Height is 4cm, and Length is 12cm.

Volume of triangular prism :

V = 1/2 * base * height * length

V = 1/2 * 9 * 4 * 12

V = 9 * 2 * 12

V = 216 cm³

Volume of a cube = a³

Where , a = side length

If 216cm³ is melted to form a cube

Then ;

a = 216^1/3

a = 6 cm

Answer:

The U.S Bank Tower

Step-by-step explanation:

I hope this helps

Answer:

the answer is 20

Step-by-step explanation:

because if you add all of it you get 20

Answer:

The maximum display area is 200sq. Ft. (square feet)

The maximum size of the lights is 20ft for the top and 10 ft for the sides

Step-by-step explanation:

I’m gonna delete this tmr because teacher checks this website I think

Answer:

24

Step-by-step explanation:

if he can make 4 birdhouses in 1 1/2 hours, 1 1/2 hours x 2 = 3. 8 birdhouses per 3 hours. 3 x 3 = 9 hours, 8 x 3 = 27

Answer:

24 birdhouses

Step-by-step explanation:

This is a proportional relationship.  y = kx, where k is the constant of proportionality.  We can determine k as follows:

4 birdhouses = k(1 1/2  hours), which leads to:

  4 birdhouses

------------------------- = 8/3 birdhouses/hr

    3/2 hours

In 9 hours, Ben can make (8/3)(9) birdhouses:  24 birdhouses

Answer:

Add 4 to both sides of the equation

8n-4=52

8n-4+_4=52+_4

Answer:

The 3rd table

Step-by-step explanation:

The x values are dividing by 5 to  get the y values. The table is proportional because it's a pattern not just random values.

Answer:

15

Step-by-step explanation:

The length of BC=20cm I think

Answer:

20 times

Step-by-step explanation:

This is calculated as:

The number of coal China consumes ÷ The number of coal Japan consumes

The number of coal China consumes =4 × 10⁹

The number of coal Japan consumes

= 2 × 10⁸

4 × 10⁹/2 × 10⁸

= 20 times

Answer:

857.766cm^3

Step-by-step explanation:

Given data

Lenght = 3m

Internal radius r = 3m

External radius R= 10m

Volume of pipe= πr^2h

Volume of metal= External - Internal

Volume= πR^2h-πr^2h

Volume= πh(R^2-r^2)

Volume= 3.142*3(10^2-3^2)

Volume= 3.142*3(100-9)

Volume= 9.426*(91)

Volume= 857.766cm^3

Hence the volume of the metal is 857.766cm^3

Answer:

Razz

May 30, 2O21

100 - 16 = 84

.84*573 = 481.32

which is more than 458.40

[tex] \huge \huge \huge\square[/tex]

Here All Sides Are Equal So,

Area = side × side= side²

So Assuming Side As 'l'

so, l×l = l²

Answer:

A = 64 pi

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

The radius is 8

A = pi * 8^2

A = 64 pi

Answer:

1 unit

Step-by-step explanation:

divide by pi (3.14) to get the diameter of a circle

[tex]\huge{ \mathfrak{  \underline{ Answer} \:  \:  ✓ }}[/tex]

SAS is a congruency criteria which is used to prove that two triangles are congruent, if two corresponding sides and an angle between them is equal in both the triangles.

For example - In the attached picture,

Therefore, ΔKLM ≅ ΔXYZ

(By SAS criteria)

[tex]\mathrm{ ☠ \: TeeNForeveR \:☠ }[/tex]

Answer:

The answer is "The Last choice".

Step-by-step explanation:

Please find the complete question in the attached file.

It is the phrase that perfectly represents the usage of a simulation for an estimate of the likelihood of the birthday of 2 randomly chosen persons on a Monday.

In a week there are 7 days, so seven choices are available, and just one Monday. Therefore, it is probable that [tex]\frac{1}{7}[/tex] will occur on a Monday to a birthday individual.

The first person will have a probability [tex]\frac{1}{7}[/tex].

The second person also has a probability [tex]\frac{1}{7}[/tex] .

Answer:

-1/2

Step-by-step explanation:

Find the slope by rearranging the equation into y = mx + b form, where m is the slope.

2x + 4y = -16

Subtract 2x from both sides:

4y = -2x - 16

Divide each side by 4:

y = -1/2x - 4

So, the slope is -1/2.

Answer: A

Step-by-step explanation: Because there 3 data points in each quartile which are lower quartile, median, and upper quartile to form four groups in the dataset.

Choice B is not correct because you don't know how many people have no pets. Choice C is not correct because it is exactly 75% of people own one or more pets. Choice D is not correct because 3/4 have between 1 and 6 pets not 1/2.

Hope it helps :)

Answer:

6.4  cones full of water

Step-by-step explanation:

Given data

Radius of cone= 6inches

Slant height= 10 inches

Volume of cone= 1/3πr^2h

V= 1/3*3.142*6^2*10

V=  1/3*3.142*36*10

V=  1/3*1131.12

V= 377.04 cubic inches

Radius of right cylinder= 8 inches

Height= 12 inches

Volume of cylinder= πr^2h

Volume= 3.142*8^2*12

Volume= 3.142*64*12

Volume=2413.056 cubic inches

Hence the number of cone full of water needed to fill the cylinder is

=Volume of cylinder/volume of cone

=2413.056/377.04

=6.4  cones full of water

Answer:

Mode: 94

Mean: 89

Difference between them: 5

Step-by-step explanation:

Answer:

[tex]\displaystyle m = \frac{1}{2}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (2, 5)

Point (6, 7)

Step 2: Find slope m

Answer:

The solutions are (2,0) and (3,0)

Step-by-step explanation:

The common denominator is (x - 2)(x - 4) which comes to x^2 - 6x + 8 which is exactly what the denominator on the right hand side is.

2x (x - 4) - (x+3)(x - 2)      =    - 4x

=============                   ========

(x -2)(x - 4)                            x^2 - 6x - 8

Multiply both sides by x^2 -6x - 8

2x(x - 4) - (x^2 + x - 6 ) = - 4x       Remove the brackets

2x^2 - 8x - x^2 - x + 6  = - 4x       Combine like terms on the left

2x^2 - x^2 - 8x - x + 6 =  - 4x

x^2 - 9x + 6 = - 4x                        Add 4x from both sides

x^2 - 9x + 4x + 6 = 0

x^2 - 5x + 6 = 0

This factors into

(x - 2) and (x - 3)

x - 2 = 0

x = 2

x - 3  = 0

x = 3

Answer:

Step-by-step explanation:

you can draw a table that has 7 rows and 7 columns, put the 6 numbers and their difference( 1-1=0, 1-2= -1, 1-3= -2,...)

-       1      2     3    4    5    6

1      0      1      2    3    4    5

2    -1      0      1     2    3    4

3    -2     -1     0     1     2    3

4    -3     -2    -1     0     1    2

5    -4     -3    -2    -1     0    1

6    -5    -4     -3    -2    -1   0

Answer: x>9

Step-by-step explanation:

3 < x/2+1  

switch sides: x/2+1 > 3

Multiply sides by 3: 3x/2+1 > 3*3

Simplify: x>9