Find the domain of the rational function f(x)=x-5/2x-3

Find The Domain Of The Rational Function F(x)=x-5/2x-3

Answers

Answer 1

Answer:

x≠3/2

Step-by-step explanation:

The domain can be anything (the infinity sign explains), except the domain can't be 3/2 otherwise the denominator will be 0. So Your answer will be the first option.      :)))))))

btw x is the same as domain


Related Questions

if 8/9 is multiplied by 3/7 will the product be greater than either of the 2 factors

Answers

If 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.

According to the question

on multiplying 8/9 by 3/7 we get

=8/9*3/7

=(8*3)/(9*7)

=24/63

=0.38095         ...(i)

On comparing it with two factors,

8/9 = 0.88888         .....(ii)

and

3/7 = 0.42857        ......(iii)

As we can see that on comparing equation (i) with equation (ii) and

equation (i) with equation (iii)    , we get that the product of 8/9 and 3/7 is less than both 8/9 and 3/7 .

Therefore , if 8/9 is multiplied by 3/7 then the product will not be greater than either of the two factors.

The given question is incomplete , the complete question is

If 8/9 is multiplied by 3/7 , will the product be greater than either of the 2 factors ?

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Su mei is looking at online classified ads. she finds a used cell phone for US$99 plus US$30 for shipping. The same cell phone cost C$199 new at a local store. a) what is the total cost of the used cell phone in canadian dollars. b) Do you think Su Mei should buy the cell phone online why

Answers

The total cost of the used cell phone in Canadian dollars is C$130.16.

Su Mei should buy the used cell phone because it is cheaper than the new cell phone.

Which phone should Su Mei buy?

The exchange rate is the rate at which one unit of a currency is exchanged for another currency. For example, if the exchange rate of the US dollar and the Canadian dollars is 1.00903. It means that 1 unit of the US dollar would buy 1.00903 of the Canadian dollars.

The first step is to determine the total cost of the used cell phone in US dollar. The total cost would be the sum of the used cell phone and the shipping cost.

Total cost of the used cell phone = $99 + $30 = $129

The next step is to convert the cost of the used cell phone that is priced in the US dollar to Canadian dollars.

129 x 1.00903 = $130.16

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What two variables are involved in this problem? Which variable can best be designated as the dependent variable? As the independent variable? a. Independent variable - amount of depreciation per year; Dependent variable - number of years you own the truck. b. Independent variable - value of the truck; Dependent variable - amount of depreciation per year. c. Independent variable - number of years you own the truck; Dependent variable - value of the truck. d. Independent variable - value of the truck; Dependent variable - number of years you own the truck.

Answers

The designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

How to determine the designation of the dependent variable and the independent variable?

In most cases, dependent variables are used to represent discrete values

Take for instance:

Number of yearsNumber of hoursNumber of people

While independent variables are used to represent continuous values

Take for instance:

AmountCost

Using the above as a hint, the designation of the dependent variable and the independent variable can be d. Independent variable - value of the truck; and Dependent variable - number of years you own the truck.

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What is the LCM of 10 and four

Answers

The least common multiple of 10 and 4 is 20.

L.C.M is defined as Least Common multiple. The Least Common multiple of two numbers is the least possible number that can be divisible by both the numbers. Or, in simple words, the least common multiple of two or more numbers is the smallest number among all common multiples of the given numbers.

We need to find the L.C.M of two numbers which are 10 and 4

First we will find out few multiples of 10 and 4which are:

       multiples of 10 : 10,20,30,40,50,60,70,80.....

       multiples of 4 : 4,8,12,16,20,24,28,32,36,40,......

Then we will filter out the common multiple.

common are : 20 and 40

From these two number the least number is 20.

Hence the least common multiple of 10 and 4 is 20.

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Brayden is saving up to buy a new video game. He already has $25 and can save an
additional $5 per week using money from his after school job. How much total money
would Brayden have after 4 weeks of saving? Also, write an expression that represents the amount of money Brayden would have saved in w weeks.


Total savings after 4 weeks:
Total savings after w weeks:

Answers

Answer:

After 4 weeks: $45, After w weeks: 5w + 25

Step-by-step explanation:

5 per week is 20 for 4 weeks. $25 + $20 = $45.

5w is 5 times the week. +25 because he had 25 to begin with. 5w+25.

Michael is using a number line to evaluate the expression –8 – 3.
After locating –8 on the number line, which step could Michael complete to evaluate the expression?

Answers

The next step that Michael could use to evaluate the expression is count 3 units to the left of -8

Which step could Michael complete to evaluate the expression?

The expression is given as

-8 - 3

The first step is given as

Locating –8 on the number line

The other term of the expression is a negative number i.e. -3

This means that Michael needs to count 3 units to the left of the first number

Hence, the next step that Michael could use to evaluate the expression is count 3 units to the left of -8

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Pakisagot po if function po ito o hindi Brainleist is award

Answers

check image for answer po

Solve the absolute value equation or indicate that the equation has no solution. |x-5|=4

Answers

Step-by-step explanation:

bzjdfj7wirrididuwir9e8woao23893

Simplify the expression (-6-3i)(5+6i)

Answers

Answer:

-12 - 51i

Step-by-step explanation:

[tex]original:(-6-3i)*(5+6i)\\FOIL:(-6)(5)+(-6)(6i)+(-3)(5)+(-3i)(6i)\\Multiply:(-30)+(-36i)+(-15i)+(18i^2)\\Combine\ Like\ Terms:(-30) + (-51i)+(-18i^2)\\i^2\ =\ -1:(-30)+(-51i)+(-18)(-1)\\Multiply:(-30)+(-51i)+(18)\\Combine\ Like\ Terms:(-12) + (-51i)\\Simplify:-12-51i[/tex]

Thing to remember:

[tex]i = \sqrt{-1} \\i^2 = \sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2 = -1\\i^3 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1} = i^2 * i = (-1)*i = -i\\i^4 = \sqrt{-1}*\sqrt{-1}*\sqrt{-1}*\sqrt{-1} = \sqrt{-1}^2*\sqrt{-1}^2 = (-1)*(-1) = 1\\[/tex]

And all powers over 4 repeat such that [tex]i^x\ such\ that\ x\mod4 = y[/tex] is the same as [tex]i^y\\[/tex]:

i.e.:

[tex]i^6 = i^{4+2}= i^4*i^2 = 1*-1 = -1\\\\i^9 = i^{4+4+1}=i^4*i^4*i^1=(1)(1)(i) = i[/tex]

NOTE: x mod 4 simply means the remainder when x is divided by 4.

i.e.:

[tex]7\mod4 = 3\\8\mod4 = 0\\13\mod4 = 1[/tex]

determine how many different possibilities for two-digit numbers 1,5,3,6,9

Answers

Answer:

Step-by-step explanation:

unit place can be selected in ways=5

ten's place can be selected in ways=5

total numbers=5×5=25

but if the numbers at two places is different then number of ways=5×4=20

A bag with 10 marbles has 3 blue marbles, 2 red marbles, and marbles, and 5 yellow marbles A marble is chosen from the bag at random.what is the probability that it is blue

Answers

Answer:
10 Probability of blue is 2/10%

Step-by-step explanation:

3/10 blue—30%
2/10 red—20%
5/10 yellow—50%

12. When Bruce started bowling, he won
7
of the games he played. Within six months,
he was winning of his games. If he
improves at the same rate, what fraction
16
of his games should he expect to win after
another six months?

Answers

Answer:

I think the answer is 7/16 hope it's correct

How long does it take to ride a bicycle 100 miles at each of the following speeds: 5 mph, 10 mph, 15 mph, 20 mph, 25 mph? What is always true about the product speed x time?

Answers

Answer:

5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 h

  speed × time = 100 miles

Step-by-step explanation:

The graph shows an inverse relation between speed and time. You want to know what is true about the product of speed and time.

Inversely proportional

Two quantities are inversely proportional when one is proportional to the inverse of the other. A constant of proportionality will be involved. The relation can be written ...

  y = k(1/x)

where x and y are the quantities inversely related, and k is the constant of proportionality.

Application

In the present case, we have a graph of the relation ...

  time = distance/speed

where the distance is 100 miles.

Comparing this to the above inverse proportion relation, we see that "distance" is the constant of proportionality (k):

  time = (100 miles)/speed

The times at various speeds are ...

5 mph ⇒ 20 h10 mph ⇒ 10 h15 mph ⇒ 6 2/3 h20 mph ⇒ 5 h25 mph ⇒ 4 h

Multiplying both sides of this equation by speed, we get ...

  speed × time = speed × (100 miles)/speed

  speed × time = 100 miles

The product of speed and time is always 100 miles in this scenario.

Represent the values of x in interval notation:
x can be any real number between 5 and
I
Points possible: 10
This is attempt 1 of 1.
Submit
-
3 or any real number greater than or equal to 22.
Use "oo" for infinity.
License

Answers

Interval notation

(-5,-3) U [22,00)

Interval notation in mathematics is a method to represent an interval of a number on the number line. In simpler words, interval notation is a way of writing subsets of the real number line .

• An interval comprises of the numbers lying between two specific given numbers. For example a set of numbers lying between 0 and 3 is an interval that contains 1,2.The way to represent interval notation is by using square bracket or round brackets, square brackets for both value included and round brackets for both value not included.

We are given that x is a real number which lies between -3 and -5 or any real number greater than or equal to 22

Firstly, x lies between -3 and -5

-5< x <-3

x = (-5,-3)

Secondly, x is greater than 22

x>=22

x = [22,00)

Interval notation

(-5,-3) U [22,00)

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A bottle of Vitamin E contains 100 soft gels, each containing 15 mg of vitamin E. How many total
grams of vitamin E are in this bottle?

Answers

Answer:

1.5 g are in that bottle.

Step-by-step explanation:

100 soft gels × 15 mg each = 1500 mg of vit. E

1500 mg = 1.5 g

1.5 would be the answer

Find the equation of the line with slope 4 which goes through the point (8,5).
Give your answer in slope-intercept form y=mx+b.

Answers

Answer:

y = 4x - 27

Step-by-step explanation:

The point (8,5) contains and x and y on the line.  The x is 8 and the y is 5.  Using this and the slope given we can write the equation.  We need to solve for b.

y = mx + b

5 = 4(8) + b

5 = 32 + b  Subtract 32 from both sides of the equation

-27 = b

y = mx + b

y = 4x - 27

Answer:

pls rate as brainliest

Step-by-step explanation:

y-y1=m(x-x1)

where y1=5,x1=8 and m=4

y-5=4(x-8)

y-5=4x-16

y=4x-16+5

y=4x-11

How to turn a decimal number into a fraction

For an example-
(1.5)

Answers

Answer: 3/2 for improper fraction and 1 1/2 for a mixed number

Step-by-step explanation:

QUESTION 6
A product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month. After the product was improved, sales increased to an average of 2,000,000 units per month. However, the new product cost five percent more to produce. If the manufacturer's selling price in each instance was 75 cents per unit, what was the manufacturer's added profit per month with the newer product?
O, a. $20,000
O b. $240,000
• c. One cannot tell from the information given.
O d. $60,000
O e. $200,000

Answers

Thus the profit of the manufacturer is 240000$ per month

It is given that a product costing 60 cents per unit to produce had been selling at the average rate of 1,200,000 units per month.

After the product was improved, sales increased to an average of 2,000,000 units per month.

It is also given that the new product cost five percent more to produce.

If the manufacturer's selling price in each instance was 75 cents per unit, We are required to find what was the manufacturer's added profit per month with the newer product.

Cost price is the price which the manufacturer pays for each unit

It is given that the cost price of new version is 5 percent more than the previous one.

Thus, the cost price of each unit of product = 60 cents +5 percent of 60 cents = 60+5/100*60=63 cents

It is also given that selling price of each unit is 75 cents

Profit=selling price- cost price

        = 75-63= 12 cents

Thus, total profit on selling the 2000000 products= 2000000x12cents

Now we know that 100 cents = 1 dollar

Thus the profit in dollars will be = 2000000*12/100=240000

Thus the profit of the manufacturer is 240000$ per month

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Find two factors of the first number such that their product is the first and the sum is the second for 51,20

Answers

The factors are 17 and 3.

The given conditions are two factors of the first number, 51 such that their product is 51 and the sum is the second number 20.
let say, the factors are x and y.

therefore, we can write, x.y = 51 ... (1)  and x + y = 20 .... (2)

Putting  the value of x from equation (2) in  equation (1) we get,

(20 - y).y = 51

or, 20y - y² = 51

or, y² - 20y + 51 = 0

or, y = 17, 3

then x = 3,17

Therefore, The factors are 17 and 3.

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What is the value of the function at x=−2?

Answers

Answer:

See below

Step-by-step explanation:

Look for where the vertical line x = -2 crosses the graph.....the value is shown below.....

Random simple service of voters were taken in three different regions of a county that has a voter population of 55,000. On average 42 out of 100 voters supported issue seven and 58 oppose it estimated number of voters in the county who support the issue.

Answers

Answer: 23100 voters

Step-by-step explanation:

42*55000=2310000

2310000/100=23100 voters

Find the circumference and area of circle X if each unit on the graph measures 1 centimeter. Round answers to the
nearest tenth, if necessary.

Answers

The circumference and area of the circle are 13cm and 13cm^2 respectively

How to determine the values

The formula for circumference of a circle is expressed as:

Circumference = 2πr

From the graph shown, we have the radius of the circle as 2 cm

Substitute the value into the formula

Circumference = 2 × 3. 142 × 2

Multiply through

Circumference = 12. 568

Circumference = 13cm

The formula for area of a circle is expressed as:

Area = πr^2

Substitute the value into the formula

Area = 3. 142 × (2)^2

Area = 3. 142 × 4

Area = 12. 568

Area = 13cm^2

Thus, the circumference and area of the circle are 13cm and 13cm^2 respectively.

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6. Describe the shape of the distribution
shown in the histogram which displays
the light output, in lumens, of various light
sources. (Lesson 1-4)
20
18
16
14
12
10
8+
6+
4
2-
200
400
600
800 1,000
Lumens
1,200

Answers

Answer:1200

Step-by-step explanation:

f(x) = 3x + 2
f(4) = ?

Answers

Answer:

3x+2 = 14.12

f(4) = 0

Answer: EVALUATE

3x+8f

f(x)=3x+2f(4)=

Multiply 2 and 4 to get 8.

3x+8f

DIFFERENTIATE W.R.T. X

3

Step-by-step explanation:

How do I do this? A tennis tournament starts with 117 players. If a player is eliminated after losing three matches, what is the least possible number of matches played when four players are left?

Answers

When only 4 players remain, the fewest number of matches that can be played is 37.

What do we mean by algebra?Algebra is one of the many branches of mathematics. Algebra, in broad terms, is the study of mathematical symbols and the rules for manipulating these symbols in formulas; it is a thread that runs through almost all of mathematics.

Given information:

The total number of players in the tournament is 117.number of players to be eliminated after losing three matches = 1, number of matches played when only four players remain = n

When only four players remain, the smallest number of matches that can be played is calculated as follows:

117 - 1(3n) = 4117 - 3n = 43n = 117 - 43n = 113

Now, divide both sides by 3 as follows:

n = 113/3n = 37.67n ≈ 37 matches

Therefore, when only 4 players remain, the fewest number of matches that can be played is 37.

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What is the solution set of this inequality?
-8-1> 3z + 14

Answers

Answer:

z>7.67

Step-by-step explanation:

-9>3z+14

3z<-14-9

3z<-23

3z>23

z>(23÷3)

z>7.67

The largest fish ever caught in lake a Weighed 651 pounds. This is 95.4 pounds less than six times the weight of the largest fish ever caught in lake B find the weight of the largest fish caught in lake b?

Answers

Answer:

124.4 pounds

Step-by-step explanation:

We have:

651 + 95.4 = 6.B

=> 746.4 = 6.B

=> B = 746.4/6

=> B = 124.4

Bro I am so tired it’s 10 pm and I literally do not know what to do for this question if any of you know what to do please solve it

Answers

Answer:

x = 1, x = 4

Step-by-step explanation:

First, let x = u^(2/3)

The problem given has a third power and also a 1.5 power. That is just oof! So choosing "u to the 2/3 power" to substitute in for x will make this equation be a straightforward quadratic that you can factor and solve.

see image.

Substitute

x = u^(2/3)

This gives you:

u^2 - 9u + 8 = 0

Factor.

(u - 1)(u - 8) = 0

Solve.

u-1 = 0 and u-8=0

u = 1 and u = 8

Substitute back into

x = u^(2/3)

x = 1^(2/3) and

x = 8^(2/3)

Remember some exponent rules and definitions. The 2 in the 2/3 will square the base number and the 3 (actually 1/3) will cuberoot the base number. See image. Hope this helps.

If AC = 31 and BC = 6, then AB

Answers

The measure of segment AB from the given question is 25

Addition postulate

In line geometry, a line is the distance between two points while an angle is the point where two lines intersect.

Given the following parameters

AC = 31

BC = 6

Required

AB

Using the addition postulate

AB + BC = AC

Substitute

AB = AC - BC

AB =  31 - 6

AB = 25

Hence the measure of segment AB from the given question is 25

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A traffic cone with a height of 20 in. is ideal for traffic control. Find the lateral area of a cone with a height of 20 in. and a diameter of 12 in. Round the answer to the nearest whole number.​

Answers

The lateral area of the cone is 394 square inches

How to determine the lateral area

The formula for lateral area of a cone is expressed as;

Lateral area = πr √h² + r²

Given that;

height = 20 inDiameter = 12 in, radius = 12/ 2 = 6 in

Substitute the values into the formula

Lateral area = 3. 142(6) √20² + 6²

Lateral area = 18. 85 √436

Lateral area = 18. 85 × 20. 8

Lateral area = 394 square inches

Thus, the lateral area of the traffic cone is 394 square inches

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