Which table represents a linear function?

Rational algebraic expressions are expressions that can be represented as a quotient of two polynomials.

The result of the expressions are:

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

[tex]\mathbf{(a)\ \frac{5x}{3x - 9};\ x = 4}[/tex]

First, we substitute 4 for x

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{5 \times 4}{3 \times 4 - 9}}[/tex]

Evaluate all products

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{12 - 9}}[/tex]

Subtract

[tex]\mathbf{\frac{5x}{3x - 9} = \frac{20}{3}}[/tex]

[tex]\mathbf{(b)\ \frac{y^2 + 4y + 1}{y^2- 1};\ y =-2}[/tex]

First, we substitute -2 for y

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{(-2)^2 + 4 \times (-2) + 1}{(-2)^2- 1}}[/tex]

Evaluate all products and exponents

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{4 -8 + 1}{4- 1}}[/tex]

Subtract

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = \frac{-3}{3}}[/tex]

[tex]\mathbf{\frac{y^2 + 4y + 1}{y^2- 1} = -1}[/tex]

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Answer:

he can get 6 shirts

Step-by-step explanation:

12.60 x 26.5

333.9 - 280

53.9 ÷ 8.6

6

Answer:

6

Step-by-step explanation:

Answer:

58 degreess

3x+11=4x-5

-3x      -3x

11=x-5

+5   +5

16=x

x=6

3(6)+11

18+11

29

29*2

58

Step-by-step explanation:

Answer:

10. x = -23          

Step-by-step explanation:

-3.8x - 5.9x = 223.1

-9.7x = 223.1         (-3.8 minus 5.9)

x = -23    (223.1 divided by -9.7)

Answer:

12. x = 70

Step-by-step explanation:

(-3/5)x - (7/10)x + (1/2)x = -56

-(4/5)x = -56       ( -3/5 minus 7/10 plus 1/2)

x = 70        (-56 divided by -4/5)

Answer:

[tex]10x-3\left(x-7\right)=x+39[/tex]

[tex]-3\left(x-7\right)[/tex]

[tex]-3x+21[/tex]

[tex]10x-3x+21=x+39[/tex]

** Combine like terms ↓ **

[tex]10x-3x=7x[/tex]

** Subtract 21 from both sides ↓**

[tex]7x+21-21=x+39-21[/tex]

[tex]7x=x+18[/tex]

** Subtract x from both sides ↓ **

[tex]7x-x=x+18-x[/tex]

[tex]6x=18[/tex]

**Divide both sides by 6 ↓*

[tex]\cfrac{6x}{6}=\cfrac{18}{6}[/tex]

[tex]x=3[/tex]

Answer:

22.84, 5.83

Step-by-step explanation:

Pythagoras theorem states that: a^2+b^2=c^2

So, for red triangle, it will be: 9^2+21^2=b^2

81+441=b^2

522=b^2

square root of 522=b

22.84=b

For purple one,

3^2+5^2=a^2

9+25=a^2

34=a^2

square root of 34=a

5.83=a

Answer:

Two opposite angles of a parallelogram are always equal.

Answer:

C)

Step-by-step explanation:

Prime factorization of 420 = 2 × 2 × 3 × 5 × 7 = 22 × 3 × 5 × 7.

If you take...

2 + 2 + 3 + 5 + 7...

You would get 17.

Hope this helps! :) Good Luck!

-kiniwih426

The product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be 2/15 x² + 1/30 x - 1/4.

It is also known as the product. If the object n is given to m times then we just simply multiply them.

The expression is given below.

(1/5 x - 1/4) and (2/3 x + 1)

Then the product of the expressions (1/5 x - 1/4) and (2/3 x + 1) will be

⇒ (1/5 x - 1/4) (2/3 x + 1)

⇒ 2/15 x² + 1/5 x - 1/6 x - 1/4

⇒ 2/15 x² + 1/30 x - 1/4

More about the multiplication link is given below.

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#SPJ1

Answer:

k

Step-by-step explanation:

Answer:

The machine decreases in value by 20% each year.

After 1 year the machine is worth only .8 of its original value.

The machine will only decrease by .2 * (.8 A) in the second year not .2 * A where A is the  original amount.

A1 = .8 A

A2 = .8 A1 = .64 A    value of machine after 2 years

.8 is the value Barry needs when the machine is  new

.8^n never goes to zero

After 10 years   value = .8^10 A = .11  A of its original value

Answer:

1200:300

4:1 is the final ratio

i believe it would be -19/48

Answer:

Use corresponding triangles to get CE value.

[tex] \frac{8}{6} = \frac{ce}{9} [/tex]

CE = 12 cm

Then

DE= 12-8 = 4 cm

To calculate the area,

[tex]( \frac{9 + 6}{2} ) \times 4[/tex]

30 cm^2

Answer:

<

Step-by-step explanation:

8x-2 - -4x2< 4+10

-16+8<4+10

-8<14

9514 1404 393

Answer:

  8×(−2)−(−4)^2 < 36÷9+2×5

Step-by-step explanation:

The left side expression evaluates as ...

  8×(−2)−(−4)^2

  = 8×(−2) − 16

  = -16 -16

  = -32

__

The right side expression evaluates as ...

  36÷9+2×5

  = 4 + 10

  = 14

__

It should be no mystery that any negative number is less than any positive number:

  -32 < 14

  8×(−2)−(−4)^2 < 36÷9+2×5 . . . . . . . . "less than" symbol is required

Answer:

Step-by-step explanation:

i think that the answer is a, because the def of natural numbers match's and there all integers.

Answer: 3/15 - 1/15 = 4/15

Step-by-step explanation: (I'm not 100% sure this is correct lol)

Answer:

Step-by-step explanation:

3/5 - 1/3

times the bottom two by eachother so they become 3/15 and 1/15

but since you times the bottome you have to times the top so it becomes

9/15 - 5/15 = 4/15

Answer:

Step-by-step explanation:

If the function has a factor of x + 9, then the function will have a zero output at x = -9

Lets verify:

Answer:

x < 16 ft

Step-by-step explanation:

Perimeter = x

If it is less than 16, the equation is:

x < 16

-Chetan K

Step-by-step explanation:

1-2cos²c.

> (cos²c+sin²c)-2cos²c. (cos²c+sin²c=1)

> cos²c+sin²c-2cos²c

> sin²c-cos²c.

is your correct answer.

hope this helps you.

The 2 expressions: 10x + 100 and 20x + 20

20x + 20:

20 dollars per visit (20x)  ;  20 dollar fee (20)

10x + 100 = 20x + 20    Subtract 10x from both sides

100 = 10x + 20          Subtract 20 from each side

80 = 10x               Divide by 10

Answer:

0.035015x

Step-by-step explanation:

Answer:

b) -5/9

Step-by-step explanation:

yeah-ya.... right?

Answer:

That is very nice. I like steel factory's that manufacture and sell steel beams, they are my favorite!! :]

The question is bland...

And honestly what even is the question?

Step-by-step explanation:

I'll help but explain the question further

Answer:

100

A line segment is 180 and if one side of the line is 80 then the other half has to be 100

Step-by-step explanation:

The computer regression output includes the R-squared values, and adjusted R-squared values as well as other important values

a) The equation of the least-squares regression line is [tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The correlation coefficient for the sample is approximately 0.351

c) The slope gives the increase in the attendance per increase in wins

Reasons:

a) From the computer regression output, we have;

The y-intercept and the slope are given in the Coef column

The y-intercept = 10835

The slope = 235

The equation of the least-squares regression line is therefore

[tex]\underline {\hat y = 235 \cdot x + 10835}[/tex]

b) The square of the correlation coefficient, is given in the table as R-sq = 12.29% = 0.1229

Therefore, the correlation coefficient, r = √(0.1229) ≈ 0.351

The correlation coefficient for the sample, r ≈ 0.351

c) The slope of the least squares regression line indicates that as the number of attending increases by 235 for each increase in wins

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