Determine the equations of any vertical asymptotes and the values of x for an holes in the graph of the ration funcion
1. asymptotes: x=4; hole: x=7
2. asymptotes: x=−4; hole: x=8
3. asymptotes: x=−8, x=−4; no holes
4. asymptotes: x=8, x=4; no holes

Answer:

3x+2

Step-by-step explanation:

x+6/x+4+x-3/3

3x+6/4-3/3

3x+6/1/3

3x+6/3

3x+2

Given:

The volume of the rectangular prism is

[tex]V=4x^3+5x^2-32x-33[/tex]

Two dimensions are (x+1) and (x+3).

To find:

The missing dimension.

Solution:

We know that, volume of a rectangular prism is

[tex]V=length\times breadth\times height[/tex]

It means, volume of a rectangular prism is the product of all dimensions.

We have,

[tex]V=4x^3+5x^2-32x-33[/tex]

Splitting the middle terms, we get

[tex]V=4x^3+4x^2+x^2+x-33x-33[/tex]

[tex]V=4x^2(x+1)+x(x+1)-33(x+1)[/tex]

[tex]V=(x+1)(4x^2+x-33)[/tex]

Splitting the middle term, we get

[tex]V=(x+1)(4x^2+12x-11x-33)[/tex]

[tex]V=(x+1)(4x(x+3)-11(x+3))[/tex]

[tex]V=(x+1)(x+3)(4x-11)[/tex]

So, the three dimensions of the rectangular prism are (x+1), (x+3) and (4x-11).

Therefore, the missing dimension is (4x-11).

Answer:

Answer:

Answer:

The answer is 4. 68

Step-by-step explanation:

since equal sides of triangle,it has equal angle at the base of triangle.So, the two angles of triangle at base is 56. The sum of angles in a triangle is 180.Therefore,56+56+x=180

x=180-112

x=68

Answer:

∠1 = 130

∠3 = 130

∠2 = 50

Step-by-step explanation:

180 - 50 = 130

∠1 = ∠3 = 130 degrees

∠2 = 50 degrees

Hello!

[tex]\large\boxed{f(x) = 3x - 28}[/tex]

If f(x) = g(x)-10, substitute in the equation of g(x) to solve for f(x):

f(x) = (3x - 18) - 10

Simplify:

f(x) = 3x - 28

Answer:

6[tex]m^{2}[/tex][tex]n^{2}[/tex]-4mn+6

Step-by-step explanation:

[tex] = (11 {m}^{2} {n}^{2} + 2mn - 11) - (5 {m}^{2} {n}^{2} - 6mn + 17)[/tex]

[tex] = 11 {m}^{2} {n}^{2} + 2mn - 11 - 5 {m}^{2} {n}^{2} + 6mn - 17[/tex]

[tex] = (11 {m}^{2} {n}^{2} - 5 {{m}^{2} } {n}^{2} ) + (2mn + 6mn) + ( - 11 - 17)[/tex]

[tex] = 6 {m}^{2} {n}^{2} + 8mn - 28[/tex]

The other person is wrong

I can say that for sure.

Answer:

The answer is False 9/12 simplified equals 3/4

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

Answer:

x- intercept = 2, y- intercept = - [tex]\frac{8}{7}[/tex]

Step-by-step explanation:

To find the x- intercept, let y = 0 in the equation and solve for x

4x - 7(0) = 8 , that is

4x = 8 ( divide both sides by 2 )

x = 2 ← x- intercept

To find the y- intercept , let x = 0 in the equation and solve for y

4(0) - 7y = 8, that is

- 7y = 8 ( divide both sides by - 7 )

y = - [tex]\frac{8}{7}[/tex] ← y- intercept

According to Pythagoras theorem,

h² = b² + h²

=> x² = 21² + 20²

=> x² = 441 + 400

=> x = √841

=> x = 29

Thus, the length of the unknown side is 29 units.

Answer:

8b + 40

Step-by-step explanation:

8( b + 5 )

8×b + 8×5

8b+40

Answer:

1932 credit hours

Step-by-step explanation:

Create a proportion

credits             credits

----------     =      ----------

students          students

14      ?

---- = -----

1         138

14 times 138

1932 credit hours

Answer:

1.5

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Proprtion is 1:3

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer:7

Step-by-step explanation:

there all is divided by three for the smaller triangles

Answer:

The answer is C

Step-by-step explanation:

n^3+4n = 4n+5

n^3+4n + 4n+5

n^3+8n+5

Answer:

B

Step-by-step explanation:

sope intercept form: (y=mx+b)

m = slope

m = 1/3 (slope of parallel lines are the same)

10 = 1/3(6)+b

10 = 2+b

b = 8

write with slope and b

y = 1/3x+8

The answer is B

Answer:

Length = 12

Step-by-step explanation:

L × W = Area

84 / 7 = 12

12 × 7 = 84

The required length of the given rectangular garden is given as 12 feet.

Given that,
A rectangular garden has an area of 84 square feet. If the width of the park is 7 feet, what is length is to be determined.

The rectangle is 4 sided geometric shape whose opposites are equal in length and all angles are about 90°.

here,
Let the measure of the length of the rectangular garden be l,
Since,
Area of the rectangle  = length × width

Area of the rectangle = l × 7
l × 7 = 84
l = 84 / 7
l = 12 feet

Thus, the required length of the given rectangular garden is given as 12 feet.

learn more about rectangles here:

brainly.com/question/15019502

#SPJ2

Answer:

[45]

Is the answer................

Answer:

Step-by-step explanation:

Step one:

given data

Principal =£3400

rate= 5%= 0.05

time = 6years

Step two:

Required

The final amount A

A= P(1+r)^t

A=3400(1+0.05)^6

A=3400(1.05)^6

A=3400*1.341

A=$4556

after 6 years Dan will have $4556

Answer:

where is the spinner?

Step-by-step explanation:

Answer:

Please read the explanied answer below.

Step-by-step explanation:

We also know that a regular polygon has all the angles equal and all sides have the same length.

As we know:

When the number of sides changes, the angle also changes. Therefore, we would get different integers as answer.

For example:

In terms of a triangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 3 = 120°

In terms of a rectangle:

Exterior angle = 360° ÷ No. of sides

                        = 360° ÷ 4 = 90°

and in the same way

360° ÷ 5 = 72 °

360° ÷ 6 = 60 °

360° ÷ 8 = 45 °

360° ÷ 9 = 40°

and so on.

I hope it may have solved your query.

Answer:

A-33(PAY) OR 33(P)

B-33 x pay or 33 x p

C-hours(33)or H(33)

D-pay(33) or p(33)

its D is correct hope this helps

Answer:

C. [tex]\frac{f(b)-f(1)}{b-1}=20[/tex]

General Formulas and Concepts:

Calculus

Step-by-step explanation:

Step 1: Define

[tex]f(x)=e^{2x}[/tex]

f'(c) = 20

Interval [1, b]

Step 2: Check/Identify

Function [1, b] is continuous.

Derivative [1, b] is continuous.

∴ There exists a c∈[1, b] such that [tex]f'(c)=\frac{f(b)-f(a)}{b-a}[/tex]

Step 3: Mean Value Theorem

And we have our final answer!

9514 1404 393

Answer:

  Repeating decimals:

  38/6 = 6.3_3   (repeating 3)

Step-by-step explanation:

  [tex]\dfrac{3}{7}=0.\overline{428571} \quad\text{repea}\text{ting decimal}\\\\\dfrac{2}{5}=0.4\\\\\dfrac{3}{4}=0.75\\\\\dfrac{2}{9}=0.\overline{2}\quad\text{repea}\text{ting decimal}[/tex]

The improper fraction 38/6 = 19/3 = 6 1/3. As a decimal, this is ...

  [tex]\dfrac{19}{3}=6.\overline{3}\quad\text{repea}\text{ting decimal}[/tex]

_____

The repeating part of a decimal fraction is conventionally written with an overbar, as shown in the typeset content above. In plain text, it is sometimes written with an underscore preceding the repeating digits.

Answer:

-56

Step-by-step explanation:

-56/-7 =8

Answer:

(-4+3, -3) = (-1,-3)

Step-by-step explanation:

Answer:

I believe it would be the first option

Answer:

11.3

Step-by-step explanation:

Answer:

16641

Step-by-step explanation:

129 x 129=16641

HTH :)