x+5=5+x is an example of what property?

Answer:

{x | -1 < x ≤ 2}

Step-by-step explanation:

Interval given in the notation of (a, b) denotes,

Upper limit at 'b' and lower limit at 'a'

Sign () denotes the interval between a and b exclusive of the numbers a and b.

Interval given as [a, b] represents,

a = lower limit

b = higher limit

Notation of [] show the interval inclusive of these numbers.

Given set in the question is (-1, 2]

Here (-1) is the lower limit and 2 is the upper limit.

(] notation shows exclusive of (-1) and inclusive of 2.

Therefore, solution set in set-builder notation will be {x | -1 < x ≤ 2}

Answer:

5

Step-by-step explanation:

Because 3 x -2 -6 and -6+6=0 so -2+7 has to be 5

The required value of X + 7 is equal to 5.

An expression is given in the question ; i.e., 3x + 6 = 0

We have to find out the value of the 'X + 7'.

What is algebra ?

Algebra is the branch that deals with various symbols and the arithmetic operations such as addition , division , etc.

As per the question ;

The given expression is 3x + 6 = 0

Let's solve it to get the value of x.

i.e.,

3x + 6 = 0

3x = - 6

x = - 2

So ,

The value of X + 7 will be ;

= -2 + 7

= 7 - 2

= 5

Thus , the required value of X + 7 is equal to 5.

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Explanation:

The coefficient is the number just to the left of the variable. So that's why -8 is the coefficient for -8x. This is the variable term while 15 is the constant (it has no variable multiplied with it). The two terms are 15 and -8x since we can write 15-8x as 15+(-8x). Terms are separated by a plus sign.

Answer:

The two consecutive even integers = (4, 6)

Step-by-step explanation:

We are asked in the question to find two consecutive even integers such that 5 times their sum is 26 more than their product.

Two consecutive even integers is represented as: x, x + 2

Five times their sum is 26 more than their products

5( x + x + 2) = [x × (x + 2)] + 26

5( 2x + 2) = (x² + 2x) + 26

10x + 10 = (x² + 2x ) + 26

x² + 2x + 26 - 10x - 10 = 0

x² - 8x + 16 = 0

We factorise

x² - 4x - 4x + 16 = 0

(x² - 4x) -(4x + 16) = 0

x(x - 4) -4(x - 4) = 0

(x - 4)(x - 4) = 0

(x - 4)²

Hence

x - 4 = 0

x = 4

Since, we know that two consecutive even integers = (x , x + 2)

First even integer = x = 4

Second even integer = x + 2 = 4 + 2

= 6

Therefore, the two consecutive even integers = (4, 6)

Answer:

C. 250-60w

Step-by-step explanation:

Answer:

This is not a function.

Step-by-step explanation:

A function by definition will map one element of the domain to one element of the range.  In this example, we would need one element of A to match one element of B for all elements of A.

Note, there are two elements in set A that map to one element in set B, while one element in set B has no mapping from any element in set A.

Cheers.

Answer:

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

Step-by-step explanation:

Given

2(6x² + 5x) = 12 ( divide both sides by 2 )

6x² + 5x = 6 ( subtract 6 from both sides )

6x² + 5x - 6 = 0 ← in standard form

(2x + 3)(3x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

2x + 3 = 0 ⇒ 2x = - 3 ⇒ x = - [tex]\frac{3}{2}[/tex]

3x - 2 = 0 ⇒ 3x = 2 ⇒ x = [tex]\frac{2}{3}[/tex]

Answer:

[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]

Step-by-step explanation:

El salario semanal es la suma de un coste fijo y un coste variable en función de las ventas logradas. El enunciado puede traducirse en la siguiente desigualdad:

[tex]\$\,450+0.05\cdot V \geq \$\,600[/tex]

Donde [tex]V[/tex] es el monto semanal de ventas, medido en pesos.

Answer:

13

Step-by-step explanation:

Hello, we can write a two digit number 'ab' as 10 * a + b, where a and ba are two integer between 0 and 9.

For instance, 54= 50 + 4 = 5 *10 + 4, a = 5 b = 4, right?

The sum of a two digit number is 4.

a + b = 4

If the order of the digits are reversed, the result is a number that exceeds the original number by 18.

10b + a = 10a + b + 18

9b = 9a + 18

b = a + 2

We can replace in the first equation,

a + a + 2 = 4

2a = 2

a = 1

and then, b = 3

So the number is 13.

thank you

Answer:

Step-by-step explanation:

2y = -3x - 4

y = -3/2x - 2

perp.:2/3

y - 0 = 2/3(x + 6)

y = 2/3x + 4

Complete question :

The number of birds (b) in a park increases when the number of dogs in the park (d) decreases. Write the correct equation for this scenario, and solve for the number of birds when there are 10 dogs.

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

Answer:

b = k/d ; 40

Step-by-step explanation:

From the table:

Dogs(d) - - birds(b)

40 - - - - - - 10

50 - - - - - - 8

The number of birds(b) in a park increases when the number of dogs (d) decreases.

Hence we can infer that an inverse relationship exists between them.

Number of birds(b) ∝ 1 / number of birds

b ∝ 1 / d

b = k/d

k = (b × d)

Where k is the proportionality constant

When d = 40, b = 10

Solve for k

k = (40 * 10)

k = 400

Therefore, number of birds(b), when there are 10 dogs;

b = k/d

k = 400, d = 10

b = 400 / 10

b = 40

40 birds when dogs = 10

Answer: -2, 0, and 2.

Step-by-step explanation: You are given the relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} The domain of the relation are all possible inputs and the range of the relation are all possible outputs. So, the inputs are : -3,-1,1; and the outputs are : -2,0,2. As a result, the domain is : -3,-1,1; and the range is : -2,0,2.

the numbers that are in the range of the relation R are -2, 0, and 2.

To determine the numbers that are in the range of the given relation R, we need to identify the second components (y-values) of each ordered pair in the relation.

The range of a relation consists of all the unique y-values that are paired with x-values in the relation.

For the given relation R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)}, the second components (y-values) are:

-2, 0, 2, 2.

To find the numbers that are in the range, we look for the unique values among these y-values:

-2, 0, 2.

Therefore, the numbers that are in the range of the relation R are -2, 0, and 2.

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Complete question is below

R = {(-3, -2), (-3, 0), (-1, 2), (1, 2)} Select all numbers that are in the range.

-3

-2

-1

0

1

2

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

Answer:

4.09 m

Step-by-step explanation:

Let the length of the shadow cast by a person be x m.

[tex] \tan \: 24 \degree = \frac{height \: of \: person}{length \: of \: the \: shadow} \\ \\ 0.4452286853 = \frac{1.82}{x} \\ \\ x = \frac{1.82}{0.4452286853} \\ \\ x = 4.08778693 \: m \\ x = 4.09 \: m[/tex]

Answer:

See Below.

Step-by-step explanation:

5.) A, C

6.) A, B, D

Answer:

90      hehehhehhhe

Step-by-step explanation:

Answer:90because there are two negatives and that would make a positive believe u just multiply and ignore the negatives.:)

Step-by-step explanation:

Answer:

[tex] \boxed{ \bold{ \sf{Price \: of \: the \: article = \: Rs \: 6678.3}}}[/tex]

[tex] \boxed{ \bold{ \sf{Vat \: amount = \: \: Rs \: 768.3}}}[/tex]

Step-by-step explanation:

Given,

Marked Price ( MP ) = Rs 6000

Vat percent = 13 %

Discount percent = 15%

▪️Finding the discount amount

Discount amount = Discount % of MP

= 15 % of 6000

= Rs 900

▪️Finding the selling price

Selling price ( SP )= Marked price - Discount amount

= Rs 6000 - Rs 900

= Rs 5910

▪️Finding the vat amount

Vat amount = Vat % of SP

= 13 % of 5910

= Rs 768.3

▪️Finding SP with VAT

SP with vat = SP + vat amount

= Rs 5910 + Rs 768.3

= Rs 6678.3

Hope I helped!

Best regards!

Answer:

k = 77

Step-by-step explanation:

k ÷ 11 = 7

We can reverse the equation to 7 x 11 =k

Using the multiplication tables, we know that 7 x 11 is 77

Therefore:

k = 77

Plug it in:

77 ÷ 11 = 7

Answer:

77

Step-by-step explanation:

K ÷ 11 = 7

K = 7 × 11

K = 77

K is 77

Step-by-step explanation:

im srry if it doesnt help...

Answer:

[tex]\boxed{\boxed{b=\frac{d-c}{a}; a\neq 0}}[/tex]

Step-by-step explanation:

[tex]ab+c=d\\\\ab+c-c=d-c\\\\ab=d-c\\\\\frac{ab=d-c}{a}\\\\ \boxed{b=\frac{d-c}{a}; a\neq 0}[/tex]

Answer:

[tex]2 \frac{59}{72}[/tex]

Step-by-step explanation:

3 3/8 = 3 + 3/8 = 24/8 + 3/8 = 27/8

then:

-5/9 + 3 3/8 = -5/9 + 27/8

= -40/72 + 243/72

= 203/72

203/72 = 144/72 + 59/72 = 2 + 59/72

= 2 59/72

Answer:

Box 1

Step-by-step explanation:

If you look carefully, you will notice that Boxes 2, 3, and 4 are all equations. We know this because they all have the "=" sign. On the other hand, Box 1 is an expression. We know this because it doesn't have an "=" sign. Therefore, Box 1 is the odd one out.

Answer:

See Below:

Step-by-step explanation:

C(Shirt) < 27.50

Answer:

A. The system has no solutions

Step-by-step explanation:

Step 1: Check to see if the 2 lines share 1 slope

slope of blue line = [tex]\frac{y2-y1}{x2-x1} =\frac{7-6}{3-0}=\frac{1}{3}[/tex]

slope of red line = [tex]\frac{y2-y1}{x2-x1} =\frac{-3-(-4)}{3-0}=\frac{1}{3}[/tex]

Step 2: Realize that lines with the same slope never touch

We know lines with the same slope are parallel to each other so they won't collide

Step 3: Know what the question is asking you

When they ask for solutions to the system of equations they are asking you to find out where they intersect

Step 4: Find answer

Because we know this is a parallel line they will never intersect causing this system to never have an answer or solution

Therefore the answer is A. The system has no solutions

Answer:

[tex]\huge \boxed{\mathrm{Option \ A}}[/tex]

Step-by-step explanation:

For the system of equations to have solutions, the two equations have to intersect on the graph.

The two lines on the graph never intersect, therefore there are no solutions for the system of equations.

Answer:

d

Step-by-step explanation:

On average, the high school students' times were lower, so the mean of the high school students' times was lower.

We don't know enough about the actual results to know any more than that.

Answer: d

Answer:

The answer is

Step-by-step explanation:

First move (M-S)² to the right side of the equation

That's

(M-S)² = WPLM² - T

Find the square root of both sides

That's

Move S to the right side of the equation to make M stand alone

We have the final answer as

Hope this helps you

Answer:

The ratio can be 16:14 whose simplest form is 8/7

Hope this helps (O^O)

Answer:

convert it into a mixed number 1 1/7

Answer:

3x+3

Step-by-step explanation:

You would just add the three sides so you would get x-3+x+x+6 and when you simplify you would get 3x+3 which would be the answer

Answer:

3x + 3

Step-by-step explanation:

x - 3 + x + x + 6

3x - 3 + 6

3x + 3