ALGEBRA 2:

Justify the equation by stating one of the properties of real numbers.

x + (37 + (-37)) = x + 0

Answers

Answer 1

Answer:

The property is the neutral element, in this case, it's the 0

Answer 2

The equation is justified using the additive inverse property of real numbers. The equation [tex]\(x + (37 + (-37)) = x + 0\)[/tex] is justified by the additive inverse property of real numbers.

According to the additive inverse property, for any real number a, there exists another real number -a such that their sum is equal to zero:

[tex]\(a + (-a) = 0\)[/tex]

In the given equation, 37 and -37 are additive inverses of each other, meaning [tex]\(37 + (-37) = 0\).[/tex] Therefore, the equation simplifies to:

[tex]\(x + (37 + (-37)) = x + 0\)\(x + 0 = x\)[/tex]

So, the equation is justified using the additive inverse property of real numbers.

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Related Questions

What is the solution of the equation?
10 points!!! plus brainlest to correct answer

3.1x + 3.3 = 12.6
a.) 3.4
b.) 5.1
c.) 3
d.) 4

Answers

Answer:

aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

The answer is To your question is C hope you pass

1. x/5 + 10 = 40
2. 4x - 36 = -2
i would really appreciate it if you'd help me

Answers

Answer:

1.) x = 150

2.) x = 8.5

Step-by-step explanation:

1.)

[tex]\frac{x}{5}+10=40\\\\\frac{x}{5}=30\\\\x=150[/tex]

2.)

[tex]4x-36=-2\\\\4x=34\\\\x=8.5[/tex]

Answer:

1. x = 150

2. x = 8.5

Step-by-step explanation:

1. x/5 + 10 = 40

Get x by itself and then solve for x.

First, subtract 10 from both sides

x/5 + 10 - 10 = 40 - 10

x/5 = 30

Then, multiply by 5 to get x by itself.

x/5 = 30

x/5 * 5 = 30 * 5

x = 150

2. 4x - 36 = -2

Get x by itself and then solve for x.

First, add 36 to both sides

4x - 36 + 36 = -2 + 36

4x = 34

Then, Divide each side by 4

4x/4 = 34/4

x = 8.5

Pls help with this function
Emergency

Answers

Answer:

rational function is the correct answer

Find the area of this circle please.Use 3 for pi…Thank you

Answers

Answer:

27 ft^2

Step-by-step explanation:

r = 3 ft (that's the radius)

and pi = 3

A = pi r^2

or

3 * r^2

plug in r = 3

so 3 * 3^2 = 3 * 9 = 27 ft^2

(note: 3^2 = 3 * 3. Squaring means we multiply the number by itself)

Your radius (r) =3ft

A=pi•r^2
A=3.14•3^2
A=3.14•9
A=28.26

What is the median for the data set? 15, 17, 8, 23, 14
15 38.5 8 15.4

Answers

Step-by-step explanation:

Add all the data and divide by 2 to get your median

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

What is a median?

The median of the data is the middle value of the data which is also known as the central tendency of the data and is known as the median.

The data set is given below.

17, 8, 23, 14, 15, 38.5, 8, 15.4

Arrange the data in ascending order, then we have

8, 8, 14, 15, 15, 15.4, 17, 23, 38.5

The number of the term will be 9, then the median will be

Median = (n + 1) / 2

Median = (9 + 1) / 2

Median = 10 / 2

Median = 5th term

5th term that is 15.

The median of the data set 8, 8, 14, 15, 15, 15.4, 17, 23, 38.5 will be 15.

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If you graph a function and it is a horizontal line, it will pass the vertical line test.

True or False

Answers

The answer for this is true

Temperature in Tahiti: 27° C Temperature in Siberia: -33° C What is the difference between these temperatures?

Answers

Answer:

60 degrees

Step-by-step explanation:

just add 33 and 27

Answer:

60°C

Step-by-step explanation:

27 - (-33) = 27+33 = 60

4x - 6 ≥ 6x - 20 helppp

Answers

Answer:

[tex]x \leq 7[/tex]

Interval notation: (-∞ , 7]

Step-by-step explanation:

Hi there!

[tex]4x - 6 \geq6x - 20[/tex]

Add 20 to both sides:

[tex]4x - 6+20 \geq 6x \\4x +14 \geq 6x[/tex]

Subtract 4x from both sides:

[tex]14 \geq 6x-4x\\14 \geq 2x[/tex]

Divide both sides by 2:

[tex]7 \geq x\\x \leq 7[/tex]

I hope this helps!

What does the term "cube root" mean?

Answers

You can define the cube root of a number as a special value that. For example, 3 × 3 × 3 equals 27, so the cube root of 27 is 3.

Guided Practice


The value of a car depreciates every year. Suppose you buy a new car for $17,000, and each year its value is only 90% of what it was the previous year. Write an equation that represents the value of the car, y, after x years.


A.
y=0.90 · 17,000xy equals 0.90 times 17,000 superscript x baseline


B.
y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline


C.
y=17,000 · 0.10xy equals 17,000 times 0.10 superscript x baseline

Answers

B.

y=17,000 · 0.90xy equals 17,000 times 0.90 superscript x baseline

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since the car’s initial value was $17,000, a = 17,000. Since the car retains 90% of its value each year, b = 0.90.

rajan has two coloured ropes of lengths 720 cm and 540 cm. if he is cutting them into pieces of equal length, what is the greatest possible length of each equal piece so that there is no wastage?​

Answers

Common factors:
30
60
90
180

180x4 =720
180x3 = 540

Greatest possible length is 180cm



2(x-8) + 4x = 6(x - 2) - 4

Answers

Answer:

They are equal.

Step-by-step explanation:

2(x-8)+4x=6(x-2)-4

Distribute: 2(2•x-2•8)+4x=6(6•x-6•2)-4

2x-16+4x=6x-12-4

Combine Like-Terms: (2x+4x)-16=(-12-4)6x

6x-16=6x-16

Since both sides are equivalent, all numbers are solutions.

The equation 2(x - 8) + 4x = 6(x - 2) - 4 is -16 = -16 which means that

the equation has infinitely many solutions.

We have,

Let's solve the given equation step by step:

2(x - 8) + 4x = 6(x - 2) - 4

Distribute on both sides of the equation:

2x - 16 + 4x = 6x - 12 - 4

Combine like terms on both sides:

6x - 16 = 6x - 16

Subtract 6x from both sides to isolate the constants:

-16 = -16

The equation -16 = -16 is true, which means the given equation is an identity.

This implies that the original equation is true for all values of x; there is no specific value of x that satisfies it.

Therefore,

The equation has infinitely many solutions.

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-6(-p + 8) = -6p + 12

Answers

ANSWER:
p=5

explanation:
distribute the -6 and simplify

Answer:

p = 5

Step-by-step explanation:

[tex]-6(-p+8)=-6p+12\\6p-48=-6p+12\\12p-48=12\\12p=60\\p=5[/tex]

Imani earned $24 in interest after four years on an account that paid 6% simple interest annually. Use the formula 1 - Prt to find Imani's principal balance. (2 points)
Ο SS7.60
O $100.00
Ο Ο Ο
$576.00
Ο $1,000.00

Answers

Answer:

$5.76

Step-by-step explanation:

Prinkpal balance = $24^4^6% =5.76

The principle amount will be equal to $100. The correct option is B.

What is simple interest?

The straightforward crediting of cash flows related to an investment or deposit is referred to as "simple" interest. Simple interest is calculated just on the loan's principal amount, whereas compound interest is calculated on both the principal and the cumulative interest.

Given that Imani earned $24 in interest after four years on an account that paid 6% simple interest annually.

The principle amount will be calculated by using the simple interest formula.

SI = ( P x R x T ) / 100

24 = ( P x 0.06 x 4 )

P = 24 / ( 0.06 x 4 )

P = $100

Therefore, the principle amount will be equal to $100. The correct option is B.

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Find the distance between each pair of points (2, -6) and (7, -2)

Answers

Answer:

6.4 units

Step-by-step explanation:

The points plotted on a graph forms a right-angle triangle parallel with the x-axis. The hypotenuse is the direct distance between the points. So

a**2 + b**2 = c**2 where a is the x difference and b is the y difference

(2 -7)**2 + (-6 -(-2))**2 = c**2

-5**2 + -4**2 = c**2

25 + 16 = c**2

41 = c**2

41**(1/2) = (c**2)**(1/2)   and ignore the negative because they're lengths

6.4 = c

Shane did 5 sets of sit-ups. He did 28 sit-ups in each set. How many sit-ups did Shane do in total?

Answers

Answer: 140 sit-ups

Step-by-step explanation:

1 set= 28 sit ups

28 * 5= 140

Answer:

140

Step-by-step explanation:

28 times 5

or x ² + y ²+ 85-104 +57.0 +25=0
d) Equation of two diameters are xty=1 and doch lyss
and mdurc- Sunit

Answers

Answer:  use cymath it helps you alot when you need it for math problems

Step-by-step explanation:

3. Reflect across the line y = x. E(-4,-2) ► N(-1,0) +N A(1,-3) →A​

Answers

Answer:

76( 6487235)

Step-by step explanation:

How many faces does a cube have

Answers

Answer:

6

Step-by-step explanation:

it has 6 sides

please give brainliest

Answer:

6 faces

Step-by-step explanation:

Sam says, "I am thinking of 3 consecutive numbers. The first is a multiple of 4, the second is a multiple of 5 and the third is a multiple of 6." What could the numbers be? Can you find 3 possible sets of numbers?

Answers

Answer:

64, 65, 66

Step-by-step explanation:

16 x 4 = 64

13 x 5 = 65

6 x 11 = 66

^^

if 2x+1 is a factor of 2x³ +x²-kx-1, find the value of k​

Answers

Answer:

k=2

Step-by-step explanation:

Find the zeros of the factor

2x+1=0

x=-½

Plug x=-½ into the function and equate to 0

2(-½)³+(-½)²-k(-½)-1=0

2(-1/8)+¼+½k-1=0

-¼-1+¼+½k=0

-1+½k=0

½k=1

k=2

Step-by-step explanation:

2x+1=0

x=-1/2

Now p(x)= 2x^3 + x^2 -kx-1

subtitute value of x:

p(-1/2)= 2(-1/2)^3 + (-1/2)^2 -k(-1/2)-1

p(-1/2)=2*-1/8+1/4+k/2-1

p(-1/2)=-1/4+1/4+k/2-1

p(-1/2)=k/2-1

2x+1 is the factor of p(x) so

k/2-1=0

k/2=1

k= 2

for the math experts again!

Answers

Answer:

985

Step-by-step explanation:

The absolute value of a number is its distance from 0. This means a number would be itself if it was positive and if it was negative it would be its opposite. Since 985 is positive, |985| would just be 985.

[tex]\frac{x+19}{-2} = 5[/tex]

Answer this question <3

Answers

Answer:

[tex] \frac{x + 19}{ - 2} = 5 \\ x + 19 = 5 \times ( - 2) \\ x + 19 = - 10 \\ x = - 19 - 10 \\ \boxed{x = - 29 }[/tex]

The value of x is -29.

Find the value of x .

Answers

Answer:

10

Step-by-step explanation:

By using intersecting chord theorem:

NH.HT=MH.HY

(x+20)*8=12*20

x+20=12*20/8

x+20=240/8

x+20=30

x=30-20

x=10

Which number is a not a solution to the inequality m-8<2

Answers

The number 9 I think

yeah i suck at math

Answers

Me too
.................

que expresión es equivalente a 7,299?

Answers

Answer:

Option A 7,000+200+20+9 is equivalent expression of 7,229. Because after adding 7,000+200+20+9 we get 7,299.

~

The temperature at 10 A.M. is 12 degrees Fahrenheit. The temperature at 6:00 A.M.
was -7
degrees Fahrenheit. How many degrees did the temperature rise?

Answers

Answer:

19 degrees Fahrenheit.

Step-by-step explanation:

19-7=12

Type the correct answer in the box. Write your answer as a whole number.The radius of the base of a cylinder is 10 cm, and its height is 20 cm. Colon is used to fill the cylinder with water. The radius of the cone base is 5 cm, and its height is 10 cm. The number of times one needs to use the completely filled colon to completely fill the cylinder with water is *blank*

Answers

Answer: 24 times

Step-by-step explanation:

volume of cone: (1/3)×5^2×π×10=250π/3 cm^3

volume of cylinder: 10^2×π×20=2000π cm^3

2000π/(250π/3 )=2000π×(3/250π)=24

Subtract.

−135−(−258)

Enter your answer as a simplified fraction by filling in the boxes.
[ ]
[ ]

Answers

Answer:

123/1

Step-by-step explanation:

-135- (-258)

123

123/1

brainliest is appreciated

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