The graph of a rational function can have a vertical asymptote, a horizontal asymptote and a slant asymptote. True or false

Divident = Divisior x Quotient + Remainder

(3x³ + 4x² - 2 + 7)  = (x + 2) x (3x² - 2x) + (4x - 5)

(3x³ + 4x² - 2 + 7)  =  (3x³ + 4x² - 2 + 7)

A division is a process of splitting a specific amount into equal parts. 

We have,

(3x³ + 4x² - 2 + 7) ÷ (x + 2)

We will divide using the long division method.

Divident = Divisior x Quotient + Remainder

Divident = (3x³ + 4x² - 2 + 7)

Divisor = x + 2

We will find the quotient and the remainder.

  x + 2 ) 3x³ + 4x² - 2 + 7 ( 3x² - 2x

             3x³ + 6x²                   [ sign is changed, 3x³ = -3x³ and 6x² = -6x²]

                    - 2x² - 5

                   - 2x² - 4x             [ sign is changed, -2x² = 2x² and -4x = 4x ]

                            4x - 5

Quotient = 3x² - 2x

Remainder = 4x - 5

Thus,

Divident = Divisior x Quotient + Remainder

(3x³ + 4x² - 2 + 7)  = (x + 2) x (3x² - 2x) + (4x - 5)

(3x³ + 4x² - 2 + 7)  =  (3x³ + 4x² - 2 + 7)

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Answer:

Step-by-step explanation:

3(x - 4) + 2(x + 5) = 3*x - 3*4  + 2*x + 2*5

                          = 3x - 12 + 2x + 10

                          = 3x + 2x  - 12 + 10   {Combine like terms}

                          = 5x - 2

Answer:

monthly income is 180000. sorry for bad handwriting

Step-by-step explanation:

fraction of food rent cloth : 1/5+1/4+1/3=47/60

fraction of leftover: 1-47/60= (60-47)/60 = 13/60

Answer:

1 /5

Step-by-step explanation:

Using a linear function, we have that:

a) The values are: a = 11 and b = 5.

b) The rule is:

[tex]y = 3x + 2[/tex]

c) The value of the output is 62.

d) The value of the input is 25.

The equation of a linear function is given by:

[tex]y = mx + b[/tex]

In which

First, we are going to solve item b to find the rule, then we solve other items.

Item b:

In the table, we have two points: (1,5) and (2,8).

The slope is given by change in y divided by change in x, thus:

[tex]m = \frac{8 - 5}{2 - 1} = 3[/tex]

Then

[tex]y = 3x + b[/tex]

Point (1,5) means that when [tex]x = 1, y = 5[/tex], and this is used to find b.

[tex]5 = 3(1) + b[/tex]

[tex]b = 2[/tex]

Thus, the rule is:

[tex]y = 3x + 2[/tex]

Item a:

a is the value of y when x = 3, thus:

[tex]y = a = 3(3) + 2 = 11[/tex]

Thus, a = 11.

b is the value of x when y = 17, thus:

[tex]3b + 2 = 17[/tex]

[tex]3b = 15[/tex]

[tex]b = 5[/tex]

The values are: a = 11 and b = 5.

Item c:

The value of the output is y when x = 20, thus:

[tex]y = 3(20) + 2 = 60 + 2 = 62[/tex]

Thus, the value of the output is 62.

Item d:

The value of the input is x when y = 77, thus:

[tex]3x + 2 = 77[/tex]

[tex]3x = 75[/tex]

[tex]x = \frac{75}{3}[/tex]

[tex]x = 25[/tex]

The value of the input is 25.

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Answer:

(18,23)

Step-by-step explanation:

Add distances:

7+4+7 = 18

9+5+9 = 23

[tex]\\ \sf\longmapsto tan60=\dfrac{WZ}{XW}[/tex]

[tex]\\ \sf\longmapsto \sqrt{3}=\dfrac{WZ}{12}[/tex]

[tex]\\ \sf\longmapsto WZ=12√3[/tex]

[tex]\\ \sf\longmapsto WZ=20.78[/tex]

Now

[tex]\\ \sf\longmapsto XZ^2=20.78^2+12^2[/tex]

[tex]\\ \sf\longmapsto XZ^2=431.8+144[/tex]

[tex]\\ \sf\longmapsto XZ^2=575.8[/tex]

[tex]\\ \sf\longmapsto XZ\approx 24[/tex]

Now

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{XW}{XZ}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{12}{24}[/tex]

[tex]\\ \sf\longmapsto cos\Theta=\dfrac{1}{2}[/tex]

Option C

The value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

The trigonometric functions in mathematics are real functions that connect the right-angled triangle's angle to the ratios of its two side lengths. They are extensively utilized in various geosciences, including navigation, and solid mechanics.

Trigonometry is the branch of mathematics that set up a relationship between the sides and angle of the right-angle triangles.

The cosine ratio will be calculated by first calculating the perpendicular WZ.

WZ = 12 x tan60

WZ = 12 x √3

WZ = 12√3

Then calculate the hypotenuse of the triangle.

XZ² = 20.78² + 12²

XZ² = 430+ 144

XZ² = 574

XZ = 24

The cosine ratio will be calculated as:-

cosФ = Base / hypotenuse = 12 / 24.

Therefore, the value of the cosine for the given triangle XZW will be ( 12 / 24 ). the correct option is C.

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Answer:

60000

Step-by-step explanation:

56763 so you're going to take that number and you're going to run it to the nearest thousands by doing that you're going to take the six and six is either closest to zero or 10 and it is closer to 10 which would be your answer so you're going to add these zero replacing the six seven six and three in the equation and making me five of six by adding the one from the number 10 if you have any other questions text me if that doesn't make sense

Answer:

x = 75

Step-by-step explanation:

Step-by-step explanation:

According to the question,

g(X)=5x ------------------------(eq-i)

g(X)=15 -------------------------(eq-2)

By comparison the two following equation

[tex]5x=15\\\\x=\dfrac{15}{5}\\\\x=3[/tex]

Answer:

A= 560mph, B=5,600miles in 10 hours

Step-by-step explanation:

If you divide 3,360 by 6 to get the mph for part a, you’ll then multiply that by 10 to get part b.

3,360 / 6= 560

560*10=5,600

x=−11/2=−5/2 1 =−5.5

Answer:

1. 15.333333

2.17.284392842389...

3.16 1/3

Step-by-step explanation:

Hope it helps

The three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].

An irrational number is a number that cannot be expressed as a fraction {p/q} for any integers {p} and {q}.

Given are irrational numbers between 15 and 17​.

Now, we can write -

A = 15² = 15 x 15 = 225

{A} = 225

B = 17² = 17 x 17 = 289

{B} = 289

The irrational numbers between 15 and 17 can be written as the square root of numbers between 225 and 289. So, we can write -

[tex]$\sqrt{231.44}\\[/tex]

[tex]$\sqrt{244.57}\\[/tex]

[tex]$\sqrt{277.67}\\[/tex]

Therefore, the three irrational numbers between 15 and 17 can be written as [tex]$\sqrt{231.44}\\[/tex], [tex]$\sqrt{244.57}\\[/tex], [tex]$\sqrt{277.67}\\[/tex].

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Answer:

4m8n8p6

Step-by-step explanation:

Answer:

it is 2.35

Step-by-step explanation:

Answer:

5^7 or 78125

Step-by-step explanation:

Answer:

b = A/h

Step-by-step explanation:

A = bh

Divide both sides by h:

A/h = bh/h

A/h = b

Answer:

x = 8

x = 21/14

x = 8

x = 15/21

x = 1/4

x = 7

Step-by-step explanation:

(For all instances of number, let it be x)

Double the sum of a number and 15. The result is the same as the product of 23 and the number.

2x + 15 = 23 + x

2x - x + 15 = 23 + x - x

x + 15 = 23

x + 15 - 15 = 23 - 15

x = 8

Multiply a number by 15 and add 2. The result is the same as the sum of 23 and the number.

15x + 2 = 23 + x

14x + 2 = 23

14x = 21

x = 21/14

Double a number and add 15. The result is the same as the sum of 23 and the number.

2x + 15 = 23 + x

x + 15 = 23

x = 8

Double a number and add 15. The result is the same as the product of 23 and the number. (This time we will move the x to the other side as the right side has a larger x than the left side)

2x + 15 = 23x

15 = 21x

x = 15/21

Multiply a number by 15 and add 2. The result is the same as the product of 23 and the number.

15x + 2 = 23x

2 = 8x

2/8 = x

x = 1/4

Double the sum of a number and 15. The result is the same as the sum of 23 and the number.

2(x + 15) = 23 + x

2x + 30 = 23 + x

x + 30 = 23

x = 7

Answer:

She bought 13 packages of shingles

mark brainliest:)

Answer:

He can pay for 5 friends plus himself while staying within the budget.

Step-by-step explanation:

No parents are allowed in.

45 + 5.5p = 80    80-45=35   5.5p = 35   35/5.5 = 6.4

So he can pay for himself plus 5 people, and probably a drink.

Hope this helps!

Answer:

x=-2

Step by step explanation:

Step by step explanation:Subtract 2 from both sides:

6x + 2 - 2 = - 10 - 2

Simplify

6x = - 10 - 2

Simplify the arithmetic:

6x = - 12

Then Isolate x:

6x = - 12

Divide both sides by 6:

(6x)/6 = - 12/6

Simplify the fraction:

x = - 12/6

Find the greatest common factor of the numerator and denominator:

x = (- 2 × 6)/(1 ×6)

Factor out and cancel the greatest common factor:

x = - 2

Therefore,x=-2

[tex]\boxed{\sf Answered \: By\: Subhash} [/tex]

[tex]\boxed{\sf Good\: luck \: for \: your \:assignment} [/tex]

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Here we go again ~

Value of x is :

[tex] \large \boxed{ \mathfrak{Explanation}}[/tex]

let's solve for x :

Answer:

hhieiiwhwu thanks sa points iaiajaowowiwjwj

Step-by-step explanation:

sjsjsis99wo2jn2

hwiwiwiwjnwjw

Hi there!

To find f(-100), substitute in -100 for the x in the function.

f(x) = x/50

Plug in -100 for x:

f(-100) = -100/50

Evaluate:

f(-100) = -2

Answer:

? =64.62306

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent side / hypotenuse

cos ? = 3/7

Taking the inverse cos of each side

cos ^-1 ( cos ? ) = cos ^-1 (3/7)

? =64.62306

Answer:

The angle is approximately 23°

Step-by-step explanation:

let the angle be ∆

using trigonometrical identity,

tan ∆=3/7

tan∆=0.4286

∆=tan^-1(0.4286)

∆=23.19°

Answer:  [tex]\frac{7}{5}[/tex]

Step-by-step explanation:

[tex]6a=2(8a-(6a+4a-5))+4[/tex]

[tex]6a=2(8a-(10a-5))+4[/tex]

[tex]6a=2(8a-10a+5)+4[/tex]

[tex]6a=2(-2a+5)+4[/tex]

[tex]6a=-4a+10+4[/tex]

[tex]6a=-4a+14[/tex]

[tex]6a+4a=14[/tex]

[tex]10a=14[/tex]

[tex]a=\frac{7}{5}[/tex]

please give me a brainliest answer

Answer:

First you have to understand a one cupcake has 1/6 pound of dough.

Then to calculate the number of cupcakes, divide the total 36 pounds of dough by a 1/6 pound.

36/(1/6)

= 36 ×(6/1)

= 216 cupcakes

Answer: 216 cupcakes can be made

Step-by-step explanation:

Given information

36 pounds of dough in total

⅙ pound of dough per cupcake

Set variables

Let x be the number of cupcakes that could be made

Set equations from given information

Total = unit × number

36 = (1/6) × x

Multiply 6 on both sides to isolate [x] variable

36 × 6 = (1/6) × x × 6

216 = 1 × x

[tex]\boxed{x=216}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

number next in the sequence = 20

Step-by-step explanation:

5, 20, 10, 30, 15, 40, (20) ---> (40 - 20 = 20)

+15 -10 +20 -15 +25 (-20) ---> (25  - 45 = -20)

  -25 +30 -35 +40 (-45)