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Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

Answer:

(3, 1) and (6, -2)

Step-by-step explanation:

Just look at the interceptions

Answer:

(3,1) and (6,-2)

Step-by-step explanation:

The solution to the system is where the two graphs intersect

They intersect at the points

(3,1) and (6,-2)

Answer:

#1

Sum of interior angles is 180:

The law of sines:

#2

The law of cosines:

#3

Same as above:

#4

Sum of interior angles is 180:

The law of sines:

[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

My first answer to this question was p<3/34 and I was wrong.

The answer really is p<12/25

Hope this helped God bless you! ❤️

Answer:

x = 103⁰

Step-by-step explanation:

127+40+90+x = 360⁰

257+x = 360⁰

x = 360⁰- 257⁰

x= 103⁰

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

a) 184cm³  b) 15.3cm³

Step-by-step explanation:

A) Vol. of block of cheese= L×B×H= 8cm×4cm×6cm= 192cm³

    Piece of cheese cut out= S×S×S= 2cm×2cm×2cm= 8cm³

    Remainder= 192cm³ - 8cm³ = 184cm³

B) Remainder = 184cm³ is cut into 12 equal pieces

   Each pieces = 184cm³ ÷ 12 = 15.3cm³

Answer:

64

Step-by-step explanation:

..........

.........

Answer:

Step-by-step explanation:

-6x-5>4(x-1)+3

-6x>4(x-1)+8

-6x>4x-4+8

-6x>4x+4

-10x>4

-x>.4

x<-1

Answer:

D. relation is a function

hope this helps :-))

Answer:

easily look it up on the internet

Answer:

5 hours and 27 min

Step-by-step explanation:

Step-by-step explanation:

-1.4 or - 14/10

-1.3 or -13/10

-1.2 or -12/10

-1.1 or -11/10

-1.0 or -1/1

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

32x²+256x+512

Step-by-step explanation:

f(g(x))=8(2x+8)²=8(4x²+32x+64)=32x²+256x+512

Answer:

5.2 = 0.5x + 1.9y

Step-by-step explanation:

In this case "standard form" signifies an equation resembling Ax + By = C.

Adding 0.5x to both sides results in  5.2-0.5x + 0.5x = 1.9y​ + 0.5x, or

5.2 = 0.5x + 1.9y, which is in "standard form."

Answer:

The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units

The sum of interior angle of the given regular hexagon is 720 degrees

The measure of one of the angles is 120 degrees

<ABO = 120/2 = 60 degrees

Since all the angles of triangle ABO are the same, hence AB = 8 units

Determine the area of the hexagon

A = 3√3/2 a²

Substitute a = 8 units

A = 3√3/2 (8)²
A  = 3√3/2 * 64
A = 3√3 * 32

A = 96√3 square units

Hence the area of the hexagon with side of 8 units is 96√3 square units

Learn more on area of hexagon here: https://brainly.com/question/2919364

#SPJ2

Answer:

Coping is very bad habit.... sorry I will not answer your question because ur coping...

Answer:

A. Quadrilateral

B. 360° = 2(82°) + 2( 3x - 1 )°

C. f(x) = ( 3x - 1 )

Step-by-step explanation:

360° = 164° + (6x - 2)°

360° - 164° + 2 = 6x

196° = 6x

x = 196°/6

x = Rationalize(32.33333333333)

Answer:

The answer is B:8

Step-by-step explanation:

because when you line up the numbers in order

5 6 7 8 11 11 15

The middle number is 8

Answer:

Area of Top Bottom- L x W = Area so 8 x 5= 40 sq ft

Area of Front Back- L x W = Area so 3 x 8 = 24 sq ft

Area of Left side/ Right side L x W = Area so 3 x 5 = 15

Total Surface Area-  X + Y + Z = Total SA so 40 + 24 + 15 = 79

Volume- L x W x H = Volume so 8 x 5 x 3 = 120 cubic feet

Step-by-step explanation:

L being length

W being width

H being Height

Answer:

Here is ur answer :

1. Probability of composing music for a movie is 1

2. To choose the group in 11 th grade , choosing the subject in which it's more probable to score high marks .

3. To decide whether to go out in rain , the probability of getting cold is more than enjoying the rain .

4. Sorry i don't know

Hope the others will help you !!

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

Answer:

B

Step-by-step explanation: