All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.

Step-by-step explanation:

2x = 18

Divide both sides by 2

x = 9

Hi,

12(3 + 5) = 12*3 + 12*5 = 36 + 60 = 96

I hope it helped.✅

Answer:

[tex]12(3 + 5) = 12 \times 3 + 12 \times 5 \\ = 36 + 60 \\ = 96[/tex]

Answer:

It's C

Step-by-step explanation:

You can just use simple resoning to solve this. If the orginal dress cost three times as much as the dress on sale. Then the dress on sale would cost three times as less as the original dress. Let me know if i'm wrong tho

Answer:

[tex]\frac{1}{6}[/tex]

Step-by-step explanation:

Answer: what’s the question I would love to help but there’s no question maybe try to post it again and I will see if I can answer?

Answer:

No question so no answer (just getting points i guess)

Step-by-step explanation:

we have: ∠P + ∠Q + ∠R = 180°

<=> (4x – 14)º + (5x + 6)° + (x - 2)° = 180°

<=> 4x – 14 + 5x + 6 + x - 2 = 180°

<=> 10x - 10 = 180°

<=> 10x = 190

<=> x = 19°

So: ∠R = (x - 2)° = (19 - 2)° = 17°

ok done. Thank to me :>

Answer:

[tex]option \: (b) \: is \: ur \: answer \: to \: the \: question \: [/tex]

[tex]to \: know \: the \: answer \: with \: proof[/tex]

[tex]refer \: to \: the \: above \: attatchment[/tex]

[tex]f = \frac{rn}{1 - r} [/tex]

[tex]\huge \tt༆ Answer ༄[/tex]

The required expression is ~ B

[tex] \boxed{ \sf \: F = \dfrac{ RN }{ 1 - R} }[/tex]

Refer to the attachment for Solution ~

Answer:

a = m/c

Step-by-step explanation:

I translated the paragraph into these options.  Please check accuracy.

m = ca?

a = cm   No,  a = m/c

a = m/c Yes

c = am   No,  c = m/a

c = a/m  No,  c = m/a

The option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

Given to us:

[tex]m=ca[/tex]

dividing both sides by c, we get

[tex]m=ca\\\\\dfrac{m}{c}=\dfrac{ca}{c}[/tex]

canceling c from right hand side, we get

[tex]\dfrac{m}{c}=a \\\\a=\dfrac{m}{c}[/tex]

Therefore, the option b which is [tex]a=\dfrac{m}{c}[/tex] is correct answer.

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Answer:

A

Step-by-step explanation:

5 2/3 - 2 1/2 = 3 2/3 - 1/2 = 3 4/6 - 3/6 = 3 1/6

Answer:

[tex]x - 3\sqrt{3} [/tex]

Study hard!

Brainliest please thank you!

Answer:

I think is 1/9

Because they say the sum is 9 and what will be chance in landing in 2

Answer:

x is 77

Step-by-step explanation:

Answer:

x = (-77)

Step-by-step explanation:

The other one is wrong. He did it right, but he forgot the -.

Answer:

$6.40

Step-by-step explanation:

Answer:

Step-by-step explanation:

6.4

Answer:

c=$214.28

Step-by-step explanation:

Since you have the (p) value (p=285.7) all you need to do is plug it into one of these two equations

c=0.75p --- c=0.75(285.7)= 214.275-- 214.28

c=0.4p+100 --- c= 0.4(285.7) + 100 --- c= 114.28 +100 -- c= 214.28

either way its the same, just plug it into one or the other

Answer:

£3691 (nearest pound)

Step-by-step explanation:

Consider the rate of compound interest is r and the initial amount of savings is P, hence

[tex]P \ + \ P \ \times \ r \ = \ P \ (\ 1 \ + \ r \ ) \qquad (Final \ amount \ for \ the \ 1st \ year ) \\ \\ \ P \ (\ 1 \ + \ r \ ) \ + \ P \ (\ 1 \ + \ r \ ) \ \times \ r \ = \\ \ P\ ( \ 1\ + \ r \ ) \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^2 \qquad (Final \ amount \ for \ the \ 2nd \ year) \\ \\ \ P \ {(\ 1 \ + \ r \ )}^2 \ + \ P \ {(\ 1 \ + \ r \ )}^2 \ \times \ r \ = \\ \ P\ {( \ 1\ + \ r \ )}^2 \ ( \ 1 \ + \ r \ ) \ = \ P \ {( \ 1 \ + \ r \ )}^3 \\ \\ (Final \ amount \ for \ the \ 3rd \ year)...[/tex]  

Therefore, the final amount of savings after nth years of compund interest is

[tex]P \ {( \ 1 \ + \ r \ )}^n[/tex].

Given that 4.2% compound interest was used for the first 4 years to a savings of £2350, thus

[tex]Final \ amount \ for \ the \ first \ 4 \ years \ = \ 2350 \ {( \ 1 \ + \ \frac{4.2}{100} \ )}^4 \ = \ 2770.36[/tex]

Then, taking the final amount of savings previously into an initial amount for the next 6 years with 4.9% compound interest.

[tex]2770.36 \ {( \ 1 + \frac{4.9}{100} \ )}^6 \ = \ 3691.40 \ = \ 3691 \ (nearest \ pound)[/tex]

Answer:

31.33

Work:    

        1  1

        9.73

   + 21.60

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

      31.33

Final Answer:

Therefore, 31.33 is our answer.

Hoped this helped.

Answer:

3

Step-by-step explanation:

The pattern is dividing 4 each time.

192/4=48

48/4=12

12/4=3

Hope this helps! Plz give brainliest!

The equation of the line is y-2x+5=0 I believe. Good luck :)

Answer:

it does not, it equals 18

Step-by-step explanation:

9+9=18 - true

9+9=6 - false

14     3/50

Good luck with the rest... I highly reccomend using Math  way (spell it together)

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

The base of the parallelogram is represented by b

[tex]b = (x - 4)[/tex]

The height of the parallelogram is represented by h

[tex]h = (2 {x}^{2} - 6)[/tex]

The area of the parallelogram is represented by A

A = bh

A = (x - 4)(2x²- 6)

A = 2x³ - 6x - 8x² + 24

A = 2x³ - 8x² - 6x + 24

The simplified expression for the area of the parallelogram is A = 2x³ - 8x² - 6x + 24

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Answer:

B.  2x3 – 6x2 – 14x + 24 square centimeters

Step-by-step explanation:

Have the day you deserve :)

Step-by-step explanation:

1 Remove parentheses.

8{y}^{2}\times -3{x}^{2}{y}^{2}\times \frac{2}{3}x{y}^{4}

8y

2

×−3x

2

y

2

×

3

2

xy

4

2 Use this rule: \frac{a}{b} \times \frac{c}{d}=\frac{ac}{bd}

b

a

×

d

c

=

bd

ac

.

\frac{8{y}^{2}\times -3{x}^{2}{y}^{2}\times 2x{y}^{4}}{3}

3

8y

2

×−3x

2

y

2

×2xy

4

3 Take out the constants.

\frac{(8\times -3\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(8×−3×2)y

2

y

2

y

4

x

2

x

4 Simplify 8\times -38×−3 to -24−24.

\frac{(-24\times 2){y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

(−24×2)y

2

y

2

y

4

x

2

x

5 Simplify -24\times 2−24×2 to -48−48.

\frac{-48{y}^{2}{y}^{2}{y}^{4}{x}^{2}x}{3}

3

−48y

2

y

2

y

4

x

2

x

6 Use Product Rule: {x}^{a}{x}^{b}={x}^{a+b}x

a

x

b

=x

a+b

.

\frac{-48{y}^{2+2+4}{x}^{2+1}}{3}

3

−48y

2+2+4

x

2+1

7 Simplify 2+22+2 to 44.

\frac{-48{y}^{4+4}{x}^{2+1}}{3}

3

−48y

4+4

x

2+1

8 Simplify 4+44+4 to 88.

\frac{-48{y}^{8}{x}^{2+1}}{3}

3

−48y

8

x

2+1

9 Simplify 2+12+1 to 33.

\frac{-48{y}^{8}{x}^{3}}{3}

3

−48y

8

x

3

10 Move the negative sign to the left.

-\frac{48{y}^{8}{x}^{3}}{3}

−

3

48y

8

x

3

11 Simplify \frac{48{y}^{8}{x}^{3}}{3}

3

48y

8

x

3

to 16{y}^{8}{x}^{3}16y

8

x

3

.

-16{y}^{8}{x}^{3}

−16y

8

x

3

Done

Answer:24

Step-by-step explanation: you multiply 4x5 because there are 5 popular sizes and she buys 4 of each and you add the 4 extra to get 24

Answer 4/5 now give brainliest

Answer:

23/99 or 0.22222222222222.

Step-by-step explanation:

Answer:

23/99

Step-by-step explanation:

Answer:

[tex]1\frac{1}{3}[/tex]  

Step-by-step explanation:

Write a proportion comparing the Oliva Oil to Vinegar = Oliva Oil to Vinegar.

[tex]\frac{3/4}{1/2} = \frac{2}{?}[/tex]

3/4 ? = 2(1/2)

3/4? = 1

  ? = 1 ÷ 3/4

  ? = 1 × 4/3

  ?  = 4/3

  [tex]? = 1\frac{1}{3}[/tex]

Answer:

8

Step-by-step explanation:

Substitute the given values into the expression

[tex]\frac{1}{2}[/tex] xy²

= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²

= 2 × 4

= 8