Graph the set {x|x≤-5} on the number line.
Then, write the set using interval notation.

An expression is defined as a set of numbers, variables, and mathematical operations. The correct option for 1,2,3, and 4 are C,B,A, and C, respectively.

In mathematics, an expression is defined as a set of numbers, variables, and mathematical operations formed according to rules dependent on the context.

A.) The Set which represents the integers is in the third option.

{.....,-3,-2,-1,0,1,2,3......}

B.) The property that is shown is option B, the cumulative property of multiplication.

C. The expression can be rewritten as,

4(x+5)-3(x+2) = 14

4x + 20 - 3x - 6 = 14

Thus, the correct option is the first option.

D.) The simplification of the expression (x⁵y²z)/(x³y⁶) can be done as,

(x⁵y²z)/(x³y⁶) = (x²z)/(y⁴)

Thus, the correct option is C.

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Answer:

1

Step-by-step explanation:

[tex]~~~~~~4(3x-11) +23 = 5x -14\\\\\implies 12x -44 + 23 -5x +14 = 0\\\\\implies 7x-7=0\\\\\implies 7x = 7\\\\\implies x = \dfrac 77 \\\\\implies x = 1[/tex]

Answer:x=1

Step-by-step explanation: did the test

Answer:

A (10,3)

Step-by-step explanation:

If Point T is on the line segment S U, then ST + TU = SU, Hence the length of SU is 16.

The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.

If Point T is on the line segment S U, then ST + TU = SU

Given;

S T = 6 and T U = 10

Substitute

SU = ST + TU

SU = 6 + 10

SU = 16

Hence the length of SU is 16.

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Answer: 1

Step-by-step explanation:

First, we will translate this into an algebraic expression.

-> Quotient means we will be using divison

-> Product means we will be using multiplciation

     the quotient of 12 and the product of 3 and 4

     [tex]\displaystyle \frac{12}{\text{the product of 3 and 4}}[/tex]

     [tex]\displaystyle \frac{12}{3*4}[/tex]

Now, I will simplify.

     Given:

      [tex]\displaystyle \frac{12}{3*4}[/tex]

     Multiply:

     [tex]\displaystyle \frac{12}{12}[/tex]

     Divide:

     1

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Answer:

No

Step-by-step explanation:

I don't think so

Answer:

-18

Step-by-step explanation:

If you plug the number values into the equation, it would be -6(-9)+8(-9) when then turns out to be 54+(-72) which is -18

Answer:

29

Step-by-step explanation:

The problem is 5x + 6 = 150

I subtract 6 from each sides except the one with the variable.

6 - 6 = 0 and 150 - 6 = 144.

Then I bring 5x down.

Then I divided 5x with 5 and 144 with 5.

I got 28.8 for x, which means the friends had 28.8 action figures each.

And I don't think it would be possible for them to have 28.8 action figures, so you round to a whole number which would give you the answer 29.

I think I that makes sense.

See the attached files!!!!

Answer:

36

Step-by-step explanation:

Let's say Leslie starts with x oranges.

The first person buys 1/3 of the oranges, leaving behind 2/3 x.

The second person buys 4 oranges, leaving behind 2/3 x − 4.

The third person buys 1/4 of the remaining oranges, leaving behind:

3/4 (2/3 x − 4)

This amount equals 15. Solving for x:

15 = 3/4 (2/3 x − 4)

20 = 2/3 x − 4

24 = 2/3 x

36 = x

Answer:

A.264

Step-by-step explanation:

((Area Of triangle*height)=Volume

Area of triangle is the base of the triangle multiplied by height of triangle divided by 2

((8*6)/2)*11=264

Answer:

1. 90

2. 120

3. 30

4. 60

Step-by-step explanation:

Hope it helps

Answer:2: 95/215, 3: 95/580, 4: 210/330 5: 365/580

Step-by-step explanation:probability=outcome in question/the total number in the given category

Answer:

[tex]y=(x-2)^2-1[/tex]

Step-by-step explanation:

Complete the square

[tex]y=x^2-4x+3\\\\y+1=x^2-4x+3+1\\\\y+1=x^2-4x+4\\\\y+1=(x-2)^2\\\\y=(x-2)^2-1[/tex]

The mistake made by Luke is that he forgot to arrange the numbers in order first before finding the median.

The median is the middle number of a distribution when arrange in ascending or descending order.

7, 11, 12,16, 22, 24, 30

The number has been arrange from the smallest to the largest.

Therefore, the median can be calculated as follows:

median = 16

Therefore, Luke forgot to put the numbers in order first.

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Answer: (C)

100% Correct Answer! Pls, give me brainliest. Thank You!

Answer: A: sorry if I'm wrong but that's what I was told

Step-by-step explanation:

Answer:

Area of the circle = 227.0095 cm^2

Step-by-step explanation:

Given:

To Find:

Area of the circle

Soln:

We know that,

Area of the circle: πr²

where:

But we don't know the radius,as the diameter is given.We could use the formula of diameter & plug the value of it do find the radius.

[tex] \rm \: Diameter = 2(r)[/tex]

Where

Substitute the value of Diameter:

Diameter = 2r

17 = 2r

17/2 = r

8.5 = r

r = 8.5

Now we got the radius, so substitute radius onto the formulae:

[tex]\text{Area of circle} = \pi\cdot \text{Radius}^2\\\\\\~~~~~~~~~~~~~~~~~~=\pi~ \left( \dfrac{\text{Diameter}}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=3.142 \left(\dfrac{ 17}2 \right)^2\\\\\\~~~~~~~~~~~~~~~~~~=227.0095~ \text{cm}^2[/tex]

Using it's concept, it is found that the percentage of students surveyed that said their favorite color was blue was of 53%.

The percentage of an amount a over a total amount b is given by a multiplied by 100% and divided by b, that is:

[tex]P = \frac{a}{b} \times 100\%[/tex]

In this problem, 424 out of the 800 students surveyed said their favorite color was blue, hence the percentage is given by:

[tex]P = \frac{424}{800} \times 100\% = 53\%[/tex]

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Answer:

180 inches

Step-by-step explanation:

The volume of a rectangular prism is length x width x height. So you would do (12)x(5)x(3) which would get you 180 inches.

Answer:

Only option A. cannot be simplified; is in its simplest form.

Step-by-step explanation:

In order for A. to have a simplified form, it must have a specified degree or leading term, which it does not have, making it impossible to simplify.

Answer:

(5, 1 ) and (3, 1 )

Step-by-step explanation:

2x - 3y = 7 → (1)

- 3x + 7y = - 8 → (2)

multiplying (1) by 3 and (2) by 2 and adding will eliminate x

6x - 9y = 21 → (3)

- 6x + 14y = - 16 → (4)

add (3) and (4) term by term to eliminate x

0 + 5y = 5

5y = 5 ( divide both sides by 5 )

y = 1

substitute y = 1 into either of the 2 equations and solve for x

substituting into (1)

2x - 3(1) = 7

2x - 3 = 7 ( add 3 to both sides )

2x = 10 ( divide both sides by 2 )

x = 5

solution is (5, 1 )

------------------------------------------------------------

4x - 3y = 9 → (1)

2x + 3y = 9 → (2)

adding the 2 equations term by term will eliminate y

6x + 0 = 18

6x = 18 ( divide both sides by 6 )

x = 3

substitute x = 3 into either of the 2 equations and solve for y

substituting into (2)

2(3) + 3y = 9

6 + 3y = 9 ( subtract 6 from both sides )

3y = 3 ( divide both sides by 3 )

y = 1

solution is (3, 1 )

Answer:

102 deg

Step-by-step explanation:

The sum of the interior angles of a  n-gon

   are equal to   ( n-2)*180

     for a pentagon   ( 5-2)(180) = 540

88+118+132+100 + x = 540          x= 102 deg

Answer:

C. 102 is correct

Step-by-step explanation:

just took test

From the equation y = 4x, each strawberry contains 4 calories.

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the number of calories in x strawberries. Hence:

y - 0 = [(27 - 0)/(6.8 - 0)](x - 0)

y = 4x

From the equation y = 4x, each strawberry contains 4 calories.

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Answer:

a

Step-by-step explanation:

Using it's concept, it is found that the probability that the selected student is wearing a black shirt is given by:

[tex]p = \frac{n}{n + 15}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, we have that out of n + 6 + 9 = n + 15 students, n are wearing black shirts, hence the probability is given by:

[tex]p = \frac{n}{n + 15}[/tex]

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Answer: (36/4)+8

Step-by-step explanation: brainliest?

Answer:

36/4 +8 = 17

Step-by-step explanation:

thanks and brainliest

Answer:

(-3, -10)

Step-by-step explanation:

We are asked to solve the system of equations simultaneously.

We need to equate the equations.

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

Solving :

⇒ -4 + 2x = 4x + 2

⇒ 4x - 2x = -4 - 2

⇒ 2x = -6

⇒ x = -3

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

Finding y :

⇒ y = 4(-3) + 2

⇒ y = -12 + 2

⇒ y = -10

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

Hence, the solution :

(-3, -10)

We have to solve them graphically as per question

Some points has already been found

Graph attached

Solution is

The statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

It is defined as a special type of relationship, and they have a predefined domain and range according to the function every value in the domain is related to exactly one value in the range.

From the graph, we can see all the functions have y-intercept:

At x = 0

f(0) = 1

g(0) = -1/2

h(0) = -5

The f(x) has the greatest maximum, which is 10

Thus, the statement all three functions have a y-intercept and the statement f(x) has the greatest maximum can be used to accurately compare the functions.

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Answer to the given equation is 32z + 3y = 14.

15y - 60 - 18y + 22 = 32z - 52

- 3y - 38 = 32z - 52

- 3y + 52 - 38 = 32z

- 3y + 14 = 32z

32z + 3y = 14

Hence, we get 32z + 3y = 14

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