State the mathematical properties of all the steps in the equation below.

(2x + 3) − 7 = 8 + x Problem Statement.
(2x + 3) + (−7) = 8 + x _____________
((2x + 3) + (−7)) + 7 = (8 + x) + 7_____________
(2x + 3) + (−7 + 7) = (8 + x) +7 _____________
(2x + 3) + 0 = (8 + x) + 7 _____________
2x + 3 = (8 + x) + 7 _____________
2x + 3 = 7 + (8 + x) _____________
2x + 3 = (7 + 8) + x _____________
2x + 3 = 15 + x _____________
(2x + 3) + (−3) = (15 + x) + (−3) _____________
2x + (3 + (−3)) = (15 + x) + (−3) _____________
2x + 0 = (15 + x) + (−3) _____________
2x = (15 + x) + (−3) _____________
2x = (−3) + (15 + x) _____________
2x = (−3 + 15) + x _____________
2x = 12 + x _____________
2x + (−x) = 12 + x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−x) _____________
2x + (−x) = 12 + 1 · x + (−1) · x _____________
2x + (−x) = 12 + (1 + (−1))x _____________
2x + (−x) = 12 + 0 · x _____________
2x + (−x) = 12 + 0 _____________
2x + (−x) = 12 _____________
2x + (−1) · x = 12 _____________
(2 + (−1)) · x = 12 _____________
1 · x = 12 _____________
x = 12 Solution

Answer: 24+6=30

Step-by-step explanation:

Football(6)  rugby(2)  hiking(3)

the order it gave you the info was football then rugby then hiking they way it gave you the number was 6,2,3 so football was said first and the number 6 was said first so football matches up with 6 therefore just add the two number and you get 30

Answer: 15 m

Step-by-step explanation:

Given

The area of the swimming pool is [tex]A=45\ m^2[/tex]

Width of the pool is [tex]w=3\ m[/tex]

Suppose l is the length of the pool

So, the area is given by the multiplication of length and width

[tex]\Rightarrow A=lw\\\Rightarrow 45=3l\\\Rightarrow l=15\ m[/tex]

So, the length of the pool is 15 m.

Answer:

Here we have:

f(x) = 2^x

g(x) = 0.5*2^(x - 3) - 1

We want to compare g(x) and f(x).

The first thing we should do here, is to define the transformations used.

Vertical translation:

For a function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N

if N > 0, the translation is upwards

if N < 0, the translation is downwards.

Horizontal translation:

For a function f(x), a horizontal translation fo N units is written as:

g(x) = f(x + N)

if N > 0, the translation is to the left

if N < 0, the translation is to the right.

Vertical dilation:

For a general function f(x), a vertical dilation of scale factor k is written as:

g(x) = k*f(x).

Ok, now let's start with f(x), and try to use transformations to construct g(x).

We start with f(x).

If we start with a vertical dilation of scale factor k = 0.5, then:

g(x) = 0.5*f(x)

if now we apply a horizontal translation of 3 units to the right, we get:

g(x) = 0.5*f(x - 3)

if now we apply a vertical translation of 1 unit down, we get:

g(x) = 0.5*f(x - 3) - 1

Replacing by the actual function we get

g(x) = 0.5*2^(x - 3) - 1

So we got g(x).

Then, the graph of g(x) is the graph of f(x) dilated vertically by a scale factor of 0.5, then moved to the right 3 units, and then moved down one unit.

Answer:

radius of circle = 3cm

circumference = 18.84cm

diameter = 6cm

Step-by-step explanation:

if the diameter of circle is 6cm

radius of circle = diameter/2

                         = 6/2

                         = 3

circumference of circle = 2[tex]\pi[/tex]r

                                       = 2 x 3.14 x 3

                                       = 6.28 x 3

                                       = 18.84

Answer:

a) 6x² + 2x + 4

b) 32 cm

Step-by-step explanation:

a) In terms of x ,

Perimeter of the figure =

[tex](x+2) + (x^2) + (x^2) + (x+2) + (4x^2)[/tex]

[tex]= 6x^2+2x+4[/tex]

b) If x = 2cm ,

Perimeter of the figure [tex]= 6 \times (2)^2+2 \times (2)+4[/tex]

[tex]= 24 + 4 + 4[/tex]

[tex]= 32\;cm[/tex]

Answer:

(4, 7/2)

Step-by-step explanation:

Take the mean of the x-coordinates and the mean of the y-coordinates.

x = (-1 + 9)/2 = 8/2 = 4

y = (2 + 5)/2 = 7/2

Answer: (4, 7/2)

Answer:

sorry

Step-by-step explanation:

i dont know

sjksiisje

jsjsjdjdjdj

sjjsjd

Answer:

30000 : 20000

Step-by-step explanation:

Given the ratio

[tex]\frac{1}{10}[/tex] : [tex]\frac{1}{15}[/tex] ( multiply both parts by 30 the LCM of 10 and 15, to clear the fractions )

= 3 : 2

sum the parts of the ratio, 3 + 2 = 5 parts

Divide the amount by 5 to find the value of 1 part of the ratio

50000 ÷ 5 = 10000 ← value of 1 part of the ratio, then

3 parts = 3 × 10000 = 30000

2 parts = 2 × 10000 = 20000

Then

50000 = 30000 : 20000 in the ratio 3 : 2

Answer:

C.  y= 1/7x2

Step-by-step explanation:

The equation with the highest leading coefficient (the number before the x^2 term) will have the narrowest graph. Here, we have to choose between -1, 1/6, 2, and 1/8. The highest number out of all of those numbers is 2, so y = 2x^2 will have the narrowest graph.

Answer:

Blue: 3/5

Red: 1/5

if the question is asking for the probability of if one marble you will pick out of bag is red OR blue, it will be 4/5

Step-by-step explanation:

add all the marbles together. 25 marbles.

so if there are 15 blue marbles, then there would be a 15 out of 25 chance you  will get a blue marble. simplified is 3/5. same goes for the red marbles.

Answer:

12%

Step-by-step explanation:

hope this helps!!!!!

Answer: dont listen to the answer above

Step-by-step and you'll fall down the shdausta and tyou get deleminate dby the stairs and bu the fat cat in cthe chaet

Answer:

1795.5 [tex]m^3[/tex]

Step-by-step explanation:

find area of base (it's a trapezoid)

[tex]\frac{b_1+b_2}{2} *h\\\\=\frac{11+16}{2} *9.5\\\\= 13.5*9.5\\\\=128.25[/tex]

multiply area of base by height

128.25 x 14

= 1795.5 [tex]m^3[/tex]

Answer:

2n +11

Step-by-step explanation:

4n+11−2n

Combine like terms

4n -2n +11

2n +11

Answer:

2n+11

Step-by-step explanation:

Answer:

[tex]f(x) = 5 *2^x[/tex]

Step-by-step explanation:

Given

[tex]a=5[/tex] -- initial

[tex]r = 2[/tex] --- rate (i.e. double)

Required

The function to represent the scenario

The above scenario represents an exponential function where

[tex]f(x) = ar^x[/tex]

So, the function is:

[tex]f(x) = 5 *2^x[/tex]

A. Perpendicular!

Because they cross with a 90 degree angle :]

Answer: Perpendicular

Step-by-step explanation: Hope this helps

Step-by-step explanation:

x(x-4) = 192

the Equation:

x²-4x -192 =0

=> (x-16) (x+12) =0

x= 16 or x= -12

since the x should be a possitive, so x = 16

the dimension :

the length = 16 m

the width = 12 m

Answer:

lokókà

haha

Step-by-step explanation:

góbôńìkásó

Answer:

7. Circumcenter is (5,8)

8. Circumcenter= (-4,-5)

9. Circumcenter= (-4,9)

10. Circumcenter= (5.5, -5.5)

Answer:

Sueldo neto= $160.000

Step-by-step explanation:

Dada la siguiente información:

Sueldo bruto= $200.000

Descuento total= 20%

Para calcular el sueldo neto, debemos usar la siguiente formula:

Sueldo neto= sueldo bruto* (1 - porcentaje de descuento)

Sueldo neto= 200.000*( 1 - 0.2)

Sueldo neto= $160.000

Answer:

LCM IS 48 × 52 BUT U HAVE TO MULTIPLY NUMERATOR BY DENOMINATOR

Step-by-step explanation:

LCM OF 48 AND 54 = 2×3×2×3×3×2×2

=

[tex]16 \times 27[/tex]

432

Answer:

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Solution:

20 - 1 1 = 9 cm

We can divide figure in 2 parts

rectangle = 14 cmx 11 cm

square = 9 cm x 9  cm

Area of rectangle = 14 * 11 = 154 cm²

Area of square = 9 * 9 = 81 cm²

Total area = 154 + 81

= 235 cm²

Learn More :

Find the area of the given figure withTU = 6 cm, SR = 8 cm, UR = 15 ...

brainly.in/question/14804329

In the figure, triangle ABC in the semi circle . Find the area if the ...

brainly.in/question/13845921

Answer:

Area = 235 square cm

Step-by-step explanation:

Given :    shape 14cm 11cm 9cm 20cm

To Find : Find area

Split the figure into rectangle and square:

Rectangle : 14 x 11

Square : 9 x 9

[tex]Area \ of \ rectangle : 14 \times 11 = 154 \ cm^2[/tex]

[tex]Area \ of \ square = 9 \times 9 = 81 \ cm^2[/tex]

[tex]Total \ area = 154 + 81 = 235 \ cm^2[/tex]

Answer:

I can't understand number 6 sorry :(

7. The DO side is the hypotenuese8.

8. 107.62

Step-by-step explanation:

The formula for this is:

[tex]a^2+ b^2 = c^2[/tex]

66 × 66 = 4,356

85 × 85 = 7,225

4356 + 7225 = 11,581

[tex]\sqrt{11,581}[/tex] ≈ 107.62

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Have a great summer :)

need help?

Step-by-step explanation:

just try plotting on a number line

Answer: The "?" would equal 1.

Step-by-step explanation: This is simply a line with a slope of 1 and a y-intercept of zero.

Given:

The volume of a cube = [tex](2+3p)^3\ \text{cm}^3[/tex]

To find:

The total surface area of the cube in terms of p.

Solution:

Volume of a cube is:

[tex]V=a^3[/tex]            ...(i)

Where, a is the side length.

It is given that,

[tex]V=(2+3p)^3\ \text{cm}^3[/tex]         ...(ii)

On comparing (i) and (ii), we get

[tex]a=2+3p\text{ cm}[/tex]

Now, the total surface area of a cube is:

[tex]A=6a^2[/tex]

Where, a is the side length.

Putting [tex]a=2+3p[/tex], we get

[tex]A=6(2+3p)^2[/tex]

Therefore, the total surface area of the cube in terms of p is [tex]6(2+3p)^2\ \text{cm}^2[/tex].

Answer:

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Step-by-step explanation:

Answer:

A≈1075.21

d Diameter

37

d

r

r

r

d

d

C

A

Using the formulas

A=

π

r

2

d=

2

r

Solving forA

A=

1

4

π

d

2

=

1

4

π

37

2

≈

1075.21009

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

175 Miles has to be driven to do the plans cost the same.

Step-by-step explanation:

Assume The Chau Drive Y miles .

We Have Given Two Plans ,

Now,Put First Plan=Second Plan (When Both Plans Cost The Same)

50$ + 0.19$ × Y = 57$ + 0.15$ × Y

0.04$ × Y = 7  ⇔  Y = 175 Miles

Answer:

36x

Step-by-step explanation: