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Answer:

- 5 ≤ x < 3

Step-by-step explanation:

The lower limit has a solid circle at - 5

This means that x can equal - 5

The upper limit has an open circle at 3

This means that x cannot be equal to 3

The inequality represented by the diagram is then

- 5 ≤ x < 3

Answers:

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

Explanation:

The angles with the similar arc markers are congruent angles. This is only when we consider any particular triangle isolated from the others.

Since we have 2 congruent angles, the triangles are considered isosceles. The congruent sides are opposite the congruent angles.

So we'll set the congruent side expressions equal to one another and solve for x. We ignore the side that isn't opposite one of the congruent angles. This applies to all four problems.

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

Work Shown for Problem 6:

3x = x+10

3x-x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 7:

x = 10-x

x+x = 10

2x = 10

x = 10/2

x = 5

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

Work Shown for Problem 8:

4x-12 = x

4x-x = 12

3x = 12

x = 12/3

x = 4

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

Work Shown for Problem 9:

2(x+3) = 18

2x+6 = 18

2x = 18-6

2x = 12

x = 12/2

x = 6

Or you can solve it like this

2(x+3) = 18

x+3 = 18/2

x+3 = 9

x = 9-3

x = 6

Answer:

Let's solve your equation step-by-step.

c+

3

8

=1

1

3

Step 1: Simplify both sides of the equation.

c+

3

8

=

4

3

Step 2: Subtract 3/8 from both sides.

c+

3

8

−

3

8

=

4

3

−

3

8

c=

23

24

Answer:

c=

23

24

Answer:For this case we have that by definition it is fulfilled:

Where:

a: It is the base

b: It is the exponent

So, if we have the following expression:

-6 to the power of 4, is equivalent to:  

So we have to:

-6: It is the base

4: It is the exponent

-6: It is the base

4: It is the exponent

Step-by-step explanation:

Answer:

w=7.1

Step-by-step explanation:

Answer:

w=7.1

Alternate form

w= [tex]\frac{71}{10}[/tex] ,  w= 7[tex]\frac{1}{10}[/tex]

Step-by-step explanation:

A.

The incorrect statement in Triangle A is B

It is not a equilateral triangle. It is a isosceles triangle

B.

The incorrect statement in Triangle B is C

The missing angle is not 158. It is 68

C.

The incorrect statement in Triangle C is C

The missing angle is not 72 it is 36

Step-by-step explanation:

Set up the polynomials to be divided. If there is not a term for every exponent, insert one with a value of 0.

x+8x5+15x4+54x3-25x2-75x-34

Divide the highest order term in the dividend x5 by the highest order term in divisor x.

x4x+8x5+15x4+54x3-25x2-75x-34

Multiply the new quotient term by the divisor.

x4x+8x5+15x4+54x3-25x2-75x-34+x5+8x4

The expression needs to be subtracted from the dividend, so change all the signs in x5+8x4

x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4

After changing the signs, add the last dividend from the multiplied polynomial to find the new dividend.

x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4

Pull the next terms from the original dividend down into the current dividend.

x4x+8x5+15x4+54x3-25x2-75x-34-x5-8x4+7x4+54x3

Divide the highest order term in the dividend 7x4 by the highest order term in divisor x.

On dividing, x⁵+15x⁴+54x³−25x²−75x−34 by x+8, Quotient is x⁴+7x³−2x²−9x−3 and Remainder is -10.

An expression is a mathematical statement which consists of variables, constants and mathematical operators.

Dividend is x⁵+15x⁴+54x³−25x²−75x−34

Divisor is x+8

After division, the solution is attached in the image.

Quotient is ( x⁴+7x³−2x²−9x−3)

Remainder is -10

To know more about Expression

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Answer:

Answer:

-4x-10

Step-by-step explanation:

This is the answer if you are simplifying the expression.

Answer:

−  4    −  8

Step-by-step explanation:

Answer:

$3,466.12 Hope this helped.

Answer:

d>-7

Step-by-step explanation:

The percentage of a given quantity shows the fraction of the quantity required but expressed in percent. The answer to the question is 8, and Maxine's statement is true.

The percentage of a given number is the fraction of that number required for consideration.

To determine the required fraction of the given number in the question, express the given statement in mathematical terms.

So that:

16% of 50 = [tex]\frac{16}{100}[/tex] x 50

                 = 0.16 * 50

                 = 8

Thus 16% of 50 is 8.

Considering the steps required to solve the question and each statement of students, then Maxine is correct.

NB: The required image to the statement is attached to this answer.

For more on percentage of numbers, visit: https://brainly.com/question/11570843

Answer:

$3.50

Step-by-step explanation:

111 is a sixth of 666 so its 21/6 which is 3 dollars 50 cents.

Answer:

b

Step-by-step explanation:

Pythagoras formula for the relation of the side lengths of a right-angled triangle :

c² = a² + b²

c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".

so, we have here

c² = 1² + 2² = 1 + 4 = 5

c = sqrt(5) = 2.236067977...

so, answer option c is too big (values bigger than 3).

answer options d and e are too small (values smaller than 2).

a

9/4 = 2.25

10/4 = 2.5

this is also too big .

that leaves us with b

17/8 = 2.125

18/8 = 9/4 = 2.25

that is correct

Answer:

-6/5

Step-by-step explanation:

The slope of perpendicular lines multiply to -1

5/6 * p = -1

Multiply each side by 6/5

6/5 * 5/6 * p = -1 * 6/5

p = -6/5

The slope of the perpendicular line is -6/5

Answer: $4526

Step-by-step explanation:

Ratio of employees to cash

157:710528

Divide both sides by 157 to find how much 1 employees is paid

1: 4526

Answer:

710 582 - salary of all employees in a month

157 - number of employees

The monthly salary of each employee is 4526.

The 4526 is obtained by dividing the salary of all employees to their number which is 157.

The question is, "What is the salary of 1 employee assuming all are paid EQUALLY?"

To get it, just multiply 4526 into 12 (annually). So the answer is 54312

[tex]{\huge{\boxed{\sf{Question}}[/tex]

[tex]-1.2= y\div2.4 -1.7[/tex]

Solve for y

[tex]{\huge{\boxed{\sf{Answer\:with\:explanation }}}[/tex]

let's put our equation first

[tex]-1.2= y\div2.4 -1.7[/tex]

Flip the equation

[tex]y\div2.4-1.7=-1.2[/tex]

Now follow the rule of [tex]BOMDAS/PEMDAS[/tex]

[tex]{\huge{\boxed{\sf{BOMDAS }}}[/tex]

[tex]{\huge{\boxed{\sf{PEMDAS}}}[/tex]

_________________________

[tex]{\huge{\boxed{\sf{Solve\:the\:equation}}}[/tex]

_________________________

[tex]y\div2.4-1.7=-1.2[/tex]

[tex]{\underline{simplify}}[/tex]

[tex]0.416667y-1.7=-1.2[/tex]

add [tex]1.7[/tex] to both sides

[tex]0.416667y=0.5[/tex]

Divide both sides by [tex]0.416667[/tex]

[tex]y=1.2[/tex]

[tex]{\huge{\boxed{\sf{Answer}}}[/tex]

[tex]y[/tex] would equal [tex]1.2[/tex]

The solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

The logarithmic equation is given as:

[tex]\mathbf{log_2(x-6) = 4}[/tex]

Apply exponential law of logarithm

[tex]\mathbf{(x-6) = 2^4}[/tex]

Remove the brackets

[tex]\mathbf{x-6 = 2^4}[/tex]

Add 6 to both sides

[tex]\mathbf{x-6 +6= 6+ 2^4}[/tex]

Express 2^4 as 16

[tex]\mathbf{x-6 +6= 6+ 16}[/tex]

Add -6 and 6

[tex]\mathbf{x= 6+ 16}[/tex]

Add 6 and 16

[tex]\mathbf{x= 24}[/tex]

Hence, the solution to the logarithmic equation [tex]\mathbf{log_2(x-6) = 4}[/tex] is x =24

Read more about logarithmic equation at:

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Answer:

[tex]a_{37}=249[/tex]

Step-by-step explanation:

A sequence that has a common difference is an arithmetic sequence:

[tex]a_n=a_1+(n-1)d[/tex]

where aₙ is the nth term, n is the index, and d is the common difference.

In your question:

Plug those into the formula:

[tex]a_{37}=-39+(37-1)8[/tex]

Then solve:

[tex]a_{37}=-39+(36)8\\a_{37}=-39+288\\a_{37}=249[/tex]

Answer:

19

Step-by-step explanation:

31 + 49 = 80

80 - 61 = 19

Answer:

1˚C

Step-by-step explanation:

First, you take 5 away from 6

5 = 5°C colder than in London

6 = The temperature in London

1ºC.     6 minus 5 equals 1.

and also that is quite easy for high school.

Answer:

x=45

Step-by-step explanation:

30/x = 54/81

30 = 54/81(x)

x = 30 ÷ 54/81

x=45

Answer:

x = 45

Step-by-step explanation:

30/x = 54/81

~Cross multiply

30 * 81 = 54 * x

~Simplify

2430 = 54x

~Divide 54 to both sides

45 = x

Best of Luck!

Answer:

See answers below.

Step-by-step explanation:

 x  =  - 4x + 15             Change the ≤ to an = and solve for x    

4x =   4x          

5x  =       15

  x =    3           Now replace the equal sign with ≤

    x ≤ 3

The graph: closed circle dot at point 3 and shaded to the left . Can not see the graph but pick the one that starts at 3 and shaded to the left.

Answer:

27√3

Step-by-step explanation:

Answer:

x=8 (one solution)

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

7(x−5)=x+13

(7)(x)+(7)(−5)=x+13(Distribute)

7x+−35=x+13

7x−35=x+13

Step 2: Subtract x from both sides.

7x−35−x=x+13−x

6x−35=13

Step 3: Add 35 to both sides.

6x−35+35=13+35

6x=48

Step 4: Divide both sides by 6.

x=8

Answer:

x = 8 (one solution)

Step-by-step explanation:

7x - 35 = x + 13

-x            -x

6x - 35 = 13

     +35   + 35

6x = 48

divided by six on both sides

x = 8

Answer:

Step-by-step explanation:

The fraction number negative 6/2 in the simplified form will be negative 3.

When the relevant components and basic processes of a numerical method are given values, the expression's result is the result of the computation it depicts.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The fraction number is given below.

⇒ - 6 / 2

Simplify the fraction number, then we have

⇒ - 6 / 2

⇒ - 3

The fraction number negative 6/2 in the simplified form will be negative 3.

More about the value of the expression link is given below.

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