Find the domain of the rational expression:
6x2 - 13x - 5/
x+7

Answers

Answer 1

Answer:

Domain (value of x) is any real value except x=13orx=−25

Explanation:

Domain is the value of x in the function. Here the denomintor must not be zero. 6x2+13x−5≠0or6x2+15x−2x−5≠0or3x(2x+5)−1(2x+5)≠0or(3x−1)(2x+5)≠0orx≠13andx≠−52∴Domain (value of x) is any real value except x=13orx=−25 [Ans]

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Answer 2

Domain (value of x) is any real value except x=13 or x=−25

The domain is the value of x in the function.

Here the denominator must not be zero.

What is the domain?

The domain of a function is the set of inputs accepted by the function.

6x^2+13x−5≠0

or 6x^2+15x−2x−5≠0

or   3x(2x+5)−1(2x+5)≠0

or  (3x−1)(2x+5)≠0

or   x≠13  and   x≠−52

Domain (value of x) is any real value except x=13 or x=−25.

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Related Questions

Please help ASAP, probability math question

Answers

Answer:

Step-by-step explanation:

For the first throw the probability that it does not land on four should be .35 not .25

On the top for the second throw the probabilities should be swapped (so land on 4= .65 and not land on four =.35)

Tessa wants to install a zipline between two trees. The zipline will be strung between the trees at points 42 feet and 3 feet high. Suppose the trees are 60 feet apart. What is the length of the zipline to the nearest tenth of a foot

Answers

The length of the zipline is found using Pythagoras's theorem, which gives

the length of the hypotenuse side of a right triangle.

Length of the zipline is approximately 71.56 feet

Reasons:

Height at which the zipline will be tied to one of the trees = 42 feet

Height at which the zipline will be tied to the other tree = 3 feet

The distance between the trees = 60 feet

Required:

The length of the zipline

Solution:

The length of the zipline is found as follows;

Taking one of the trees to be at the origin, the coordinates of one of the tying point = (0, 42)

The coordinates of the other tying point = (60, 3)

The in the imagined right triangle formed by the zipline and the distance

between the trees, the length of the zipline is given by Pythagoras theorem

as follows;

Length of zipline = [tex]\sqrt{(60 - 0)^2 + (3 - 42)^2} = 3 \cdot \sqrt{569}[/tex] ≈ 71.56

Length of the zipline ≈ 71.56 ft.

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Salina wants to buy a dress that sells for $55.00. If the sales tax is 8%, exactly how much will the dress costs?

Answers

Answer:

$44

Step-by-step explanation:

it's math

Answer:

$59.4

Step-by-step explanation:

Turn the percentage into a decimal.

8% = 0.08

Multiply.

55 * 0.08 = 4.4

Add.

59.4

Best of Luck!

What is the probability of
spinning a yellow?

Answers

Answer:

is 2/8

Step-by-step explanation:

Answer:

12.5

Step-by-step explanation:

If X, then not Y. If not Y, then Z. Y is true. So:

Answers

Answer:

Z and X is incorrect

help me asap. i’ve been stuck on this question for like two hours

Answers

Answer:

Step-by-step explanation:

how do I rewrite this using the distinctive property

6(-4)

Mr. and Mrs. Ramirez both have jobs for which 22% of their earnings are taken out of their paychecks for taxes. How much would they need to earn together per month before taxes to have enough income to cover all the expenses in their budget?

Answers

Answer:

ñ

Step-by-step explanation:

ñ

Can’t figure this out need help

Answers

Answer:

d

Step-by-step explanation:

range means y values so automatically a and b aren't right

there's no limits for y since it's linear, so it's D

that R sign basically means "all real numbers"

A large serving of soup from a take-out restaurant is 4/5 liter. The restaurant has 3 liters of soup. The diagram models the number of servings of soup.

How many servings of soup does the restaurant have?

Answers

Answer:

The answer is 2 and 2/5 i hope this can help.

Step-by-step explanation:

What does 6523 ÷ 65 equal?

Answers

100.3538461538462 is the answer

Answer:

~100.35385

Step-by-step explanation:

You just gotta take the time to do the long division. Alternate forms could be 100 23/65

2 pts
Sammy wants to buy a new stereo priced at $439. He enters into an agreement to pay
$22 a month for 24 months. How much will the finance charge be for this purchase?
State your answer in terms of dollars rounded to the nearest cent (hundredth).

Answers

Answer:

$308

Step-by-step explanation:

I am not sure if this is correct. But try it and let me know if it was

guys help me with this question

Answers

Blank 1: 7

Blank 2: 3

Blank 3: 2

Blank 4: 2

Which ratio is equivalent to 5:9? with a twist ( only those options)

Answers

[tex]\huge\bold\green{Option\ :-\ D}[/tex]

Divide the option with 4 so that you can get the equivalent ratio to 5:9 .

Look at the image and please help out! I need an answer.

Answers

Answer:

4b<30

Step-by-step explanation:

product means multiply so 4•b or 4b

less than so<

Step-by-step explanation:

addition means the sum of 2 numbers

so.....b+4 <30

b <30-4

B <26

Perform the operations indicated choose the correct answer 14+29

Answers

Answer:

14+29=43

Step-by-step explanation:just add it

Find the area of the shape below

Answers

Answer:

Total Area = 235cm^2

Step-by-step explanation:

Step 1 ) we have our lengths 11 and 20 so we need to separate the into 2 shapes  Step 2)   Label and draw new shape 20-11 = 9  to show (Shape square  1) = measuring 9 *9 and   another  (Shape Rectangle 2) = 11* 14  Step 3) Show how you do the multiplication of Square shape 9* 9 = 81cm^2  and Area Rectangle 11 * 14 = 154 cm^2   Total Area = 81+154 = 235cm^2    You can if you like in table multiplication show 11*14 by adding a zero underneath the 14 = 140 +14 = 154 then add and show +81 = 235cm^2 It is always easier to retain a shape if subtracting to get a 2nd shape this way it saves time with subtraction and in my example only needed to subtract 20-11 = 9 then 9*9 = 81cm^2 to retain the 14 *11 = 154cm^2 area for the rectangle

Answer:

Step-by-step explanation

full rectangle area (see figure) - small rectangle area

14 * 20 - [(14 - 9) *(20 - 11)] =

280 - (5 * 9) =

280 - 45 =

235 cm²

Solve the equation for the given variable
1/2 +y= 2/3

A) y=1/6
B) y=1/3
C) y=1/3
D) y=1 1/6

Answers

Answer:

y= (2/3)-(1/2)

= (4-3)/6

= 1/6

=> A

Step-by-step explanation:

Linear or non linear?

Answers

Answer:

Linear

Step-by-step explanation:

This is linear because using the data you have provided we can work out that the equation is y= -5x+27

y= mx+ c (c is the gradient)

This equation shows that the line is straight (also shown in the picture) and therefore must make it a linear graph.

For the graph to be non linear, the graph would be curved but this would mean the equation would have to be a quadratic - which it isn't.

Hope this helps!

write the decimalas a percent 4.68

Answers

Answer:

468% is the percent of 4.68

Step-by-step explanation:

4.68 x 100 = 468

Mrs. Cho has 24 students in her class. Some of her students are also in the play.

Explain why it is not possible for exactly 24% of the students in Mrs. Cho’s class to be in the play.​

Answers

914 1404 393

Answer:

  24% of 24 is not a whole number

Step-by-step explanation:

24% of Mrs. Cho's students is ...

  0.24 × 24 = 5.76 . . . students

This is not a whole number. The number of students must be a whole number. There cannot be part of a student in the play.

find difference

54.59- 26.61

A. 81.20
B. 38.98
C. 32.18
D. 27. 98

Answers

Answer:

D

Step-by-step explanation:

Answer:

D) 27.98

Step-by-step explanation:

All you have to do is subtract, have a nice day <3

An online game site has two memership plans. The first plan gives you unlimited play for $40 a month. The second plan charges a monthly access fee of $4.25 plus $2.75 for each hour you play. After how many hours do the two plans cost the same?

Answers

Answer:

after 13 hours

Step-by-step explanation:

Since the monthly fee is $4.25

so

● $4.25 + ( 2.75 × Number of hours) = 40

● ( 2.75 × Number of hours) = $40 - $4.25

● 35.75/ 2.75 = 13

Rock Middle School is planning a field trip to a museum. The museum specifies that there needs to be one chaperone for every 4 students. If the maximum number of people allowed on the field trip is 700, what is the maximum number of students able to visit the museum?​

Answers

Answer:

28000

Step-by-step explanation:

You multiply 4 and 700.

Answer:

525 students

Step-by-step explanation:

There will be 175 chaperones on the trip.

All you need to do is find 1/4 of 700 which is the number of chaperones.

Then subtract it by 700 to find the number of students.

I hope this helps!!

Given 3 + 7 + 11 + 15 + ... find S20

Answers

=4n - 1
Since the sequence is add 4 and 3-4 = -1

20 x 4n = 80-1 = 79

there are a total of 45 bikes. if the ratio of blue bikes to black bikes is 4 to 5, how many of the bikes are blue?

Answers

Answer:

20

Step-by-step explanation:

4 + 5 = 9

45 / 9 = 5

4 * 5 = 20

hope this helps

Antonio buys a television worth $700 at a rent-to-own business. Because he doesn't have $700 on the day of purchase, he will pay $100 per
month for 12 months and will be able to take the television home immediately. How much will Antonio end up spending on the television after
his 12 payments?
OA. $100
OB. $500
OC. $700
OD. $1200

Answers

Answer:

$1200

Step-by-step explanation:

Since he's paying $100 on a 12 month plan, you do

100 * 12 = 1200

In total he's paying $1,200.

Answer: 1200

Step-by-step explanation: Hope this helps :)

pls solve this thanks ​

Answers

The answer for the green box is - 2p=18

factor completely. show full work

Answers

Answer:

here's the answer mark me brainliest!!

Answer:

Step-by-step explanation:

2p² + 8pq - pq - 4q² = 2p(p + 4q) - q( p + 4q)

                                 = (p + 4q)(2p - q)

Which graph represents the solution to 5 +8x <3(2x + 4)?
A:
-10-9-8 -7 -6 -5 4 -3 -2 -1 0
1
2
3
4
5
6 7 8
9 10
B:
-10 -9 -8 -7 -6 -5 -4 -3 -2 -1 0 1 2
3
4 5 6 7 8 9 10
C:
-10 -9-8-7-6-5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
D:
-10-9-8-7-6 -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 9 10
A
B
D

Answers

Answer:

Option D

Step-by-step explanation:

Given the inequality statement: 5 + 8x < 3(2x + 4):

We must solve for the solution of the given inequality statement.

First, distribute 3 into the parenthesis:

5 + 8x < 3(2x + 4)

5 + 8x < 6x + 12

Next, subtract 6x from both sides:

5 + 8x - 6x < 6x - 6x + 12

5 + 2x < 12

Then, subtract 5 from both sides:

5 - 5 + 2x < 12 - 5

2x < 7

Divide both sides by 2 to solve for x:

[tex]\displaystyle\mathsf{\frac{2x}{2}<\:\frac{7}{2}}[/tex]

[tex]\displaystyle\mathsf{x<\:\frac{7}{2}}[/tex]  

Since  [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] = 3.5, and that the inequality symbol is "<," then it means that   [tex]\displaystyle\mathsf{\frac{7}{2}}[/tex] or 3.5 is not included as an endpoint.  This corresponds to an empty circle on the 3.5 mark on the number line, pointing towards the left (indicating that the values must be less than 3.5).

Therefore, the correct answer is Option D.

I need help because all the answer choices my teacher put were wrong so I dont know what to do ​

Answers

Answer:

Equivalent Expression:  [tex]\displaytext\mathsf{\frac{a^7}{b^8}}[/tex]

Step-by-step explanation:

Given the exponential expression,  [tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}}[/tex]:

We could use the Quotient Rule of Exponents where it states that:

[tex]\displaystyle\mathsf{\frac{a^m}{a^n}\:=\:a^{(m\:-\:n)}}[/tex]

Since we have the variables, a and b as the base, we could simply apply the Quotient Rule and subtract their exponents.

[tex]\displaystyle\mathsf{\frac{a^{12}\:b^{-3}}{a^{5}\:b^{5}}\:=\:a^{(12\:-\:5)}\:b^{(-3\:-\:5)}}[/tex]

[tex]\displaytext\mathsf{=\:a^{7}\:b^{-8}}[/tex]

Next, we must transform the negative exponent of base, b, into positive by applying the Negative Exponent Rule, where it states that:

[tex]\large\text{$ a^{-n}\:=\:\frac{1}{a^{n}} $}[/tex]

Applying the Negative Exponent Rule will result in the following exponential expression:

[tex]\LARGE\text{$ a^{7}\:b^{-8}\:=\:[a^{7}\:\times\:\frac{1}{b^8}]\:=\:\frac{a^7}{b^8} $}[/tex]

Therefore, the equivalent expression is:  [tex]\LARGE\text{$ \frac{a^7}{b^8} $}[/tex].

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