Build a function whose domain is all real numbers other than -4, and whose range is all real numbers other than 5.

Answers

Answer 1

Answer:

An example is the rational function [tex]y=\frac{5x}{x+4}[/tex].

Step-by-step explanation:

The graph of the rational function [tex]y=\frac{5x}{x+4}[/tex] has a vertical asymptote at x = -4 where the denominator is equal to zero.  The function is undefined there, so the domain is all real numbers except -4.

The graph has a horizontal asymptote  y = 5  so the domain is all real numbers except 5.

See the attached image for the graph of the function (purple) and it's vertical asymptote (black).

Build A Function Whose Domain Is All Real Numbers Other Than -4, And Whose Range Is All Real Numbers

Related Questions

Simplify the expression below, if a=2/5 and b=-1/6. Leave your answer as a fraction.

10a−5ab+4b

Answers

Answer:11/3

Step-by-step explanation:

a shopkeeper buys an old fridge for 7220. he spends 1235 for repairing it and sells it for 8500. what is the profit or loss

Answers

Answer:

profit is 45 dollars

Step-by-step explanation:

you add 7220+1235 to get 8455 and he sold it for 8500 so that's a 45$ profit


AAA construction company increases their work force from 12 workers to 20 workers in a year. What is the approximate percent increase of the number of workers?

Answers

Answer:

66.67

Step-by-step explanation:

20-12=8

8/12=0.6666667

0.6666667x100=66.67

Sam has been asked to prepare 40 documents in 2 work days(there are 8 hours in each workday).Each document takes 30 minutes to prepare.Assuming Sam works both days,how many hours of help will he need to finish in 2 work days?

Answers

Answer:n 2 work days, there are 8 hours in each workday. How many hours of help will he need in 2 work days

Step-by-step explanation:

15 cm
C
8 cm
Perimeter =
cm, Area =
square cm

Answers

Answer:

refer to workings

Step-by-step explanation:

Perimeter=15+15+8+8=46cm

Area=15×8=120cm²

Express 2 as a fraction

Answers

Answer:

2/1 would be the answer since you have a whole number

Answer:

2/1

Step-by-step explanation:

when expressing two as a fraction, you're only demonstrate that invisible denominator of 2, as it will get your back to 2 when you calculate it

please help, i do not get this.

Answers

Answer:

k(x) = |x - 4| - 2

Step-by-step explanation:

So we know that k(x) is shifted 4 untis to the right and 2 units down. In an absolute value function, the value you move to the left will be positive and the value you move to the right will be negative. Since we are moving to the right, our value will be negative.

When you shift the function up or down, you will either subtract or add that value out side the absolute value. Since we are shifting down 2 units, that means we will be subtracting by 2.

Best of Luck!

Mary is putting money into savings account. She starts with $750 in the savings accounts, and each week she adds $30. Let S represent The total amount of money in the savings account (in dollars), and Let w represent the number of weeks Mary has been equation relating S to W. Then use this equation to find the total amount of money in the savings account after 11 weeks.

Answers

Answer:

$1080

Step-by-step explanation:

s=30w+750

s=30(11)+750

s=330+750

s=1080

Calculate f(4x + 5) if f(x)=x^2

Answers

Answer:

13x

Step-by-step explanation:

(x)(4(2)+5)

x(8+5)

x(13)

13x . answer

please follow me

Answer:

[tex]\huge\boxed{\sf f(4x + 5) = 16x\² + 40x + 25}[/tex]

Step-by-step explanation:

Given that:

f(x) = x²

Put x = 4x + 5

f(4x + 5) = (4x + 5)²

f(4x + 5) = (4x + 5)(4x + 5)

f(4x + 5) = 4x(4x + 5) + 5(4x + 5)

f(4x + 5) = 16x² + 20x + 20x + 25

f(4x + 5) = 16x² + 40x + 25

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807Peace!

What is 62 1/2 in a fraction?

Answers

Answer:

125/2

Step-by-step explanation:

62 * 2 = 124

124 1/2 = 124 + 1 = 125/2

Answer:125/2

Step-by-step explanation:

What is the answer to this (2)(-5) -(-3)

Answers

Answer:

-8

Step-by-step explanation:

(2)(-5) -(-3)

Multiply:

2 × -5 = -10

-10 -(-3)

-10 + 3

   -8

Hope this helped.

Answer:

(2) (-5)- (-3)

-10 - (-3)

-10 + 3

-7

therefore the final answer is ((( -7 )))

Step-by-step explanation:

hope this helps

Please help

Write a formula for the number of subsets of any set; identify any symbols use

Mark brainliest!!!

Answers

Formula-

If a set has “n” elements, then the number of subset of the given set is 2n and the number of proper subsets of the given subset is given by 2n-1. Consider an example, If set A has the elements, A = {a, b}, then the proper subset of the given subset are { }, {a}, and {b}

Symbol that can be used-

The symbol "⊆" means "is a subset of". The symbol "⊂" means "is a proper subset of".

Hope it helps you... pls mark brainliest if it helped you.

Note- this answer was taken a little from "Byjus, shaala and remaining I typed myself.

in a survey of a school 300 student favour to play volleyball 200 student favour to play cricket and 110 favour both find the number of students who favour to play cricket only and find the number of student who favour to play either volleyball or cricket​

Answers

If 110 students play both
The 300 that play volleyball includes them.
That’s mean that 190 (300-110) play only volleyball
Also (the same) 200 play cricket, so only cricket play 90 students (200-110)
Answer: either volleyball or cricket is
(300-110)+(200-110) = 190+ 90 = 280
Answer: 280

Gavin works for a skydiving company.
Customers pay $200 per jump to skydive in
tandem skydives with Gavin.

Answers

What’s the question ? & need additional information

a structure The table shows the distance below ground of items found at an archaeological site Researchers also found a mouse fossil at the same site. Which, if any, of the items in the table were a greater distance below ground than the mouse fossil shown? 1 Item Distance below ground (feet) Spoon key cup 42 62 bowl for Problems 14-17, find the LCM of the number pair​

Answers

Spoon ;

[tex]5 \frac{3}{8} = \frac{43}{8} = 5.375[/tex]

Key ;

[tex]6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

Cup ;

[tex]4 \frac{3}{12} = \frac{17}{4} = 4.25[/tex]

bowl;

[tex]5 \frac{5}{6} = \frac{35}{6} = 5.83[/tex]

The distance from the smallest to the largest ; 4.25 , 5.375 , 5.83 , 6.75

So the greater distance —> Key = 6.75

[tex]key = 6 \frac{3}{4} = \frac{27}{4} = 6.75[/tex]

I hope I helped you^_^

What are the modes of the following sets of numbers?
a. 3, 13, 6, 8, 10, 5, 6

Answers

Answer:

13

Step-by-step explanation:

I think it's helping you....

1Determine the vertex of the quadratic function f(x) = (x - 3)^2 +7.

Please give detailed steps!! thank you

Answers

Answer:

vertex = (- 3, 7 )

Step-by-step explanation:

The equation of a parabola in vertex form is

f(x) = a(x - h)² + k

where (h, k ) are the coordinates of the vertex and a is a multiplier

f(x) = (x - 3)² + 7 ← is in vertex form

with vertex = (3, 7 )

Create an example of a rational value between -8 and -9 and show the work

Answers

Answer:

-8.75

Step-by-step explanation:

Rational: a number that can be expressed as an integer or the quotient of an integer divided by a nonzero integer.

A rational number is a number that can be expressed as a fraction with an integer numerator and a positive integer denominator. Two different fractions may correspond to the same rational number. 1/2 = 2/4. Every whole number is a rational number. These can be written as N/1 = N, so they are rational numbers.

Every number could be entered as a fraction using an integer is considered a rational number.A quotient p/q for two integral numbers could be expressed as q not equal to 0.The number can be stated as an integer quotient divided by non-zero.Rational numbers could finish or repeat decimals within the decimal form.

Using formula:

[tex]\to \bold{rational\ value =\frac{a+b}{2}}[/tex]

Given:

a=-8

b=-9

Calculating the rational number:

[tex]\to \bold{rational\ number=\frac{-8+(-9)}{2}}[/tex]

                                   [tex]\bold{=\frac{-8-9}{2}}\\\\ \bold{=\frac{-17}{2}}\\\\ \bold{=- 8.5}\\\\[/tex]

Learn more:

brainly.com/question/24484724

Find the distance between the points (5, 3) a
and (5, -6).

Answers

Answer:

Answer is 9.

Step-by-step explanation:

a (5, 3),  b (5, -6)

[tex]\sqrt(x^2 - x^1) ^2+(y^2- y^1)^2\\\sqrt(5 - 5)^2 +(-6- 3)^2\\\\\sqrt(0)^2 +(-9)^2\\\\\sqrt(81)\\\\9[/tex]

Answer: 9

Step-by-step explanation:

Sqrt (5-5)^2+(-6-3)^2 =

Sqrt (0)+(-9)^2

Sqrt 81 = 9

(Help please)
If 1 liter = 1.057 quarts, how many quarts are in 1 kiloliter?

( )quarts

Answers

9514 1404 393

Answer:

  1057 quarts

Step-by-step explanation:

"Kilo-" is an SI prefix meaning 1000. 1 kiloliter is 1000 liters, so will be ...

  1000 liters = 1000 × 1.057 quarts = 1057 quarts

15-(4m - 5) = 32 please help me

Answers

Answer:

m = -3

Step-by-step explanation:

15 - (4m - 5) = 32            (Given)

15 - 4m + 5 = 32             (Distributed)

20 - 4m = 32                  (Added like terms)

20 - 4m - 20 = 32 - 20  (Subtract 20 on both sides)

-4m = 12                         (Simplify)

-4m/-4 = 12/-4                (Divide -4 on both sides)

m = -3                             (Simplify)

Mrs. Diaz had 5/6 gallon of paint to start. When she finished sha had 1/2 gallon. How much paint did Mrs. Diaz use?​

Answers

Answer:

1/3

Step-by-step explanation:

To get the amount of paint,you will have to deduct the number of paint she used to start minus the amount of of gallon she finished with.

5/6-1/2

L.C.M

10-6/12

4/12

=1/3

Joseph wants a television for his
birthday that originally cost $740. Right
now, the television is on sale for 40%
off! Joseph's dad agreed to buy it, as
long as Joseph pays for 30% of the cost.
How much will Joseph have to pay?

Answers

Answer: $133.20

Step-by-step explanation:

518 dollars
100%-30%=70%
70 as a decimal is 0.7.
0.7 times 740 is 518

I need help on this problem

36-12x/6

Answers

Hope it helps! If it is, Brainliest please!

Solve for t and show your work in details please

Answers

Answer:

0t=8

Step-by-step explanation:

3t+4=12+3t

3t-3t=12-4

0t=8

Find the value of X
10
X







Answers

Answer:

x = 10.

Step-by-step explanation:

the length of the two sides are the same so x must equal 10. hope this helps

Answer:

x = 10

Step-by-step explanation:

The triangle is isosceles so the two angles in red are equivalent.

This also means that the sides measuring 10 and x are equivalent.

10 = x

x = 10

-5-
2.4.1
The school ask you to determine the number scale of the drawing if the map length
actual 20 m boundary measurCs 16 cm on the diawing.
(Remember that both units must be the same​

Answers

9514 1404 393

Answer:

  1/125

Step-by-step explanation:

The map scale is usually shown as the ratio of the map distance to real-world distance. Here, that is ...

  16 cm : 20 m = 16 cm : 2000 cm = 16 : 2000 = 1 : 125

The map scale is 1/125.

Can you tell which 3-D shape this would make?

Answers

Answer:

A triangular prism

Explanation:

The 2 triangles will be the 2 bases and the 3 rectangles will be the 3 sides.

Determine the answer to (-3)+(-5) and explain the step using a number line

Answers

Answer:

below

Step-by-step explanation:

When are adding a negative number, that means that you just subtracting a positive value.

-3 + (-5) -> -3 - 5

On a number line you would to put finger at the point -3 and move to the left 5 spaces since we are subtracting.

Best of Luck!

Soo it is -8 I’m keeping text cuz it says it need to be 20 characters long

4/x-7=7/x+6

What is x

Answers

Answer:

21

Step-by-step explanation:

[tex]4x + 24 = 7x - 49 \\ then \: collect \: the \: same \: variable \\ 4x - 7x = - 49 - 24 \\ x = - 63 \div - 3 = 21[/tex]