Identify the domain of the following rational expression:
7x/3x+15
O All real numbers except 5.
O All real numbers except 15.
O All real numbers except - 15.
O All real numbers except - 5.

Identify The Domain Of The Following Rational Expression:7x/3x+15O All Real Numbers Except 5.O All Real

Answers

Answer 1

Answer: D

Step-by-step explanation:

The domain of a function is the allowed 'x' values that the function can take on and produce a defined 'y' value. We can ignore the numerator since it will never be undefined. The denominator on the other hand has a singularity when it equals zero. The reason for this is because we cannot divide by zero. Therefore, lets set the denominator to zero and find which 'x' value makes the function undefined:

[tex]3x+15=0[/tex]

[tex]3x=-15[/tex]

[tex]x=-5[/tex]

Every single real 'x' value will work besides when x = -5. Therefore the answer is D


Related Questions

HELP MEEEEEEE PLEASE

Answers

Answer:

729 ft cubed

Step-by-step explanation:

The formula is length time width times height. All of those are 9, so it is 9x9x9.

Answer:

729

Step-by-step explanation:

9 x 9 = 81

81 x 9 = 729

A 5-card hand is dealt from a well-shuffled deck of 52 playing cards. What is the probability that the hand contains cards from at least 3 different suits?

Answers

Answer:

0.2637

Step-by-step explanation:

P(A) = 4 x (13/2) x 13^3/(52/5) = (rounded: 0.264) (Real answer: 0.2637)

what is 3.1425 reduced to the nearest hundred.​

Answers

3.14 because the four would be the hundredth place and the two wouldn't change it so you simply drop the 2 and 5 and the four stays the same

The sum of five consecutive integers is 46 less than 9 times the least of the integers. Find the largest consecutive integer.
Question 6 options:

A)

17

B)

10

C)

18

D)

19

Answers

Answer:

  C)  18

Step-by-step explanation:

Let x represent the largest of the five consecutive integers. Then (x -4) is the smallest, and the sum of the five of them is ...

  sum = 5((x +(x -4))/2 = 5x -10

That sum is 46 less than 9 times the smallest.

__

This relation can be written as ...

  5x -10 = 9(x -4) -46

  72 = 4x . . . . . . . . . . . . add 82-5x and simplify

  18 = x . . . . . . . . . divide by 4

The largest of the consecutive integers is 18.

_____

Additional comment

Here, we have used the variable to represent what the problem is asking for--the largest of the integers. Often, in consecutive integer problems, it is convenient to let a variable represent the middle (or average) value of the consecutive integers. If we do that here, then sum of the 5 integers would be 5x, and the relation to find x would be ...

  5x +46 = 9(x -2)

This resolves to 64=4x ⇒ x=16, so the largest integer is x+2=18. The number of steps is about the same, but the sum is easier to find, and there aren't as many constant terms to play with in solving for x.

twelve more than the quotient of forty and eight

Answers

Answer:

step by step explanation is given above

If you like it please mark as brainliest and follow also

What is the answer????

Answers

Let's see

(10y)²=(6y)²+64²100y²-36y²=(64)²64y²=64²y²=64y=√64y=8

Answer:

  y = 8

Step-by-step explanation:

A 3-4-5 right triangle, and its multiples, are the only ones with rational side lengths in the ratio 3:5. In other words, the 6y : 10y side ratios mean that ...

  3 : 4 : 5 = 6y : 64 : 10y

or

  64 = 8y

  y = 8 . . . . . . . divide by 8

Which survey question could have been asked to produce this data display?
A How much does your dog weigh?
B How many times do you feed your dog each day?
C How many bags of dog food do you buy each month?
D How much does your bag of dog food weigh?

Answers

i'm not sure since i can't see the picture you posted but if you're talking about persuasion then it should be C or B

Help help help help help help

Answers

Answer:

it's a function

Step-by-step explanation:

none of the x are repeating

Answer:

its function

Step-by-step explanation:

none of the x are repetation

Casey asks a random sample of students at his school about their natural hair and eye colors. The results of his survey are shown in
the relative frequency table below.
Black
Brown
Hair
Red
Color
Blonde
Total
Brown
0.225
0.350
0,025
0.050
0.650
Eye Color
Blue Other
0.000 0.025
0.125 0.100
0.000 0.025
0.075 0.000
0.200 0.150
Total
0.250
0.575
0.050
0.15
1.000
In the sample, there are 4 more students with brown hair and blue eyes than blond hair and blue eyes.
How many total students have black hair?

Answers

Answer:   20

=======================================================

Explanation:

x = total number of students surveyed

According to the table, 0.075 of the students (aka 7.5%) have blond hair and blue eyes. This means 0.075x is the number of blond hair blue eye people.

Also, 0.125x is the number of brown hair blue eye people for similar reasoning as the previous paragraph.

We're told that "There are 4 more students with brown hair and blue eyes than blond hair and blue eyes"

So,

(BrownHair_BlueEyes) = (BlondHair_BlueEyes) + 4

0.125x = (0.075x) + 4

0.125x-0.075x = 4

0.05x = 4

x = 4/0.05

x = 80

There are 80 students surveyed.

Of those eighty students,  0.075x = 0.075*80 = 6 have blond hair and blue eyes; while 0.125x = 0.125*80 = 10 have brown hair and blue eyes. Notice how this is four more than the blond person count with blue eyes. This confirms we have the correct sample size.

The last step is to calculate how many of the students have black hair based on the sample size we just found.

The table shows 25% = 0.250 of the students have black hair, so 0.25x = 0.25*80 = 20 students have black hair

A rectangular pyramid fits exactly on top of a rectangular prism. The prism has a length of 16 cm, a width of 6 cm, and a height of 8 cm. The pyramid has a height of 14 cm. Find the volume of the composite space figure.

Answers

Answer:

1,216 cm³

Step-by-step explanation:

Volume (composite space figure) = Volume (pyramid) + volume (prism)

⇒ [16 x 6 x 14 / 3] + [16 x 6 x 8]⇒ 96 [14/3 + 8]⇒ 96 [14/3 + 24/3]⇒ 96 x 38/3⇒ 32 x 38⇒ 1,216 cm³

134355785131 times. 9283838383 pls answer​

Answers

Answer:

124733738E+19

Step-by-step explanation:

please consider as brainlest if i helped you

Answer:

=> 1.24733739e21

Step-by-step explanation:

=> 134355785131 times. 9283838383

=> 1.24733739e21

Please help me thank you!!

Answers

Answer:

24

Step-by-step explanation:

This line is going up by two.

To find the range just count the space between the Maximum and Minimum.

Or subtract the Minimum from the Maximum.

For this, the Minimum is 32.

The Maximum is 56.

Now that we know, let's subtract.

56 - 32 = 24

24 is the range.

Select all that are true.
38 × 54 = 2056
512 × 26 = 934
1115 × 20 = 1423
38 × 48 = 18
712 × 48 = 21

Answers

38×54= 2052

512×26= 13312

1115×20= 22300

38×48= 1824

712×48=34176

-> all of the answers are false

Help me with this please.

Answers

Answer:

1. 83 square inches

2. 7.065 square centimeters

Step-by-step explanation:

Hey there!

In order to find the area of the shaded region of the rectangle, you need to first find the area of the whole shape

The dimensions are 10 and 16 and if you multiply them together, you get 160

This means that the area of the whole shape is 160

Now they are asking for the area of the shaded shape, so we need to find the area of the white rectangle, and then subtract that area from 160

The dimensions for the white rectangle is 11 and 7

This means that the area of the white rectangle is 77

Now what we need to do is subtract 77 from 160

160-77=83

So the area of the shaded region is 83 square inches

Now to get to the second question

We need to find the area of the quarter circle

In order to find this, we need to first find the area of the whole circle, then divide that by 2

They gave us the radius already which makes it a lot easier (the radiues is 3)

All we need to do is input 3 into the formula for the area of a circle

[tex]\pi r^2[/tex]

In this case, since they are telling us to use 3.14 as pi, the equation would look like this:

[tex]3.14*3^2[/tex]

This can be simplified to [tex]3.14*9[/tex] which is equal to 28.26

So this is the area of the whole circle

But the question is asking for the area of a quarter of that circle

So what we need to do is divide 28.26 by 4 which is 7.065

So the area of the quarter circle is 7.065 square centimeters

Solve x2 – 4 = 5 by graphing the related function.

Answers

Answer:

±3

Step-by-step explanation:

I attached a photo it. hope this helps.

Answer:

[tex]x2 - 4 = 5 \\ x \times 2 = 5 + 4 \\ \frac{2x}{2} = \frac{9}{2} \\ x = 4 \frac{1}{2} \\ x = 4.5[/tex]

Work out the angle under

Answers

The value of two inner angle other than x can be find out by subtracting 130° and 96° from 180° differently , because a straight line always make an angle of 180°

So ,

180° - 130° = 50 °

180° - 96° = 84°

Therefore , 50° and 84° are the two internal angle other than x

To find x ,

as the sum of all angles inside a triangle is 180°

50° + 84° + x = 180°

x = 180° - 134°

x = 46°

QS and RT are diagonals of parallelogram QRST. RT = 21, SU = 9, and angle RQT = 101. Find RU and QS.

Answers

Answer:

RU = 10.5, QS = 18

Step-by-step explanation:

RT is 21, and RU is half of RT, making it 10.5

SU is 9, and QS is double of SU, making QS 18.

Find a fraction that is more than 0 and less than 1/1000

Answers

Answer:

Any of these are correct:

1/1001, 1/1002, 1/1003

1/2000, 1/2358

1/10000

2/3000= 1/1500

3/4000

so many!

Step-by-step explanation:

Anything that is positive and not negative will be bigger than zero.

Anything with a 1 on top (numerator) and LARGER than 1000 on the bottom (denominator) will be less than 1/1000.

OR you can change 1/1000 by multiplying 2/2 or 3/3 or 4/4 or 5/5 etc. Then lower the top number only. Example:

1/1000 × 5/5 = 5/5000

(multiply straight across: top×top and bottom×bottom)

Then shrink the top:

3/5000

If there are 60 fruits in all and 42 of them are lemons what percentage are the lemons

Answers

Answer:

70% of the fruits are lemons

Step-by-step explanation:

I divided 100 by 60, and then multiplied that number by 42;) Have a blessed day!

Answer:

70%

Step-by-step explanation:

put into a fraction:

42/60

Divide:

42/60=0.7

Convert:

0.7=70%

which law would you use​

Answers

Law of gravity if I was you

R=7. 6=h volume for cone 3.14

Answers

Answer:

307.876080 ft^3

Step-by-step explanation:

307.876080 ft3

At a swim meet, 8 different swimmers compete in the 800- meter freestyle race. How many different ways are there for these swimmers to finish

Answers

Using the arrangements formula, it is found that there are 40,320 ways for these swimmers to finish.

What is the arrangements formula?

The number of possible arrangements of n elements is given by the factorial of n, that is:

[tex]A_n = n![/tex]

In this problem, there are n = 8 swimmers, hence they can finish arranged in 8! ways, that is:

[tex]A_8 = 8! = 40320[/tex]

More can be learned about the arrangements formula at https://brainly.com/question/24648661

Find the area of the figure. Sides meet at right angles

Answers

Answer:

51 is the area

Step-by-step explanation:

3 x 5 in the bottom equals 15. 4 x 9 equals 36 at the top rectangle. 36 + 15 = 51.

What is mS?
A. 56
B. 68
C. 112
D. 124

Answers

Answer:

[B] 68

Step-by-step explanation:

Given:

the figure in the picture

Solution:

Q - 124 + 56 =180

Since,  r is also 56 degrees that means S is 68 degrees because the sum of each angle has to add up to 180 degrees.

Step by step solving below:

Q = 180 - 124

Q = 56

56 (m∠Q) + 56 (m∠ R) = 112

S = 180 - 112

S = 68

Thus, the answer is [B] 68 which also means m∠ 68

Kavinsky

Answer:

mS = 68 (B)

Step-by-step explanation:

First, we are given mR, which is 56.

Next, we can figure out mQ by subtracting 124 from 180 (because it's a straight line) :: 180 - 124 = 56, SO, mQ = 56

Now, we know that the sum of all the interior angles is 180, so we'll subtract mR and mQ from that....

180 - (mR + mQ) >> 180 - (56 + 56) >> 180 - 112 = 68

therefore, mS = 68

Find each measure. problem attached below

Answers

Answer:

THE ANSWER IS 308

Step-by-step explanation:

the solution is in the picture

Answer:

Ok

Step-by-step explanation:

Given: DPH 90, DPF 90, HPG 38

Angle GPF = 180( straight angle) - 38 = 142.

Opposite angle HPG and EPG = 38

Angle DPE = 180 - 90 - 38 = 52.

Which of the following is the equation of the function below?

Answers

D. y=2sec[2(x+pi )]-2

Step-by-step explanation:

I WILL GIVE 20 POINTS TO THOSE WHO ANSWER THIS QUESTION RIGHT NOOOO SCAMS AND EXPLAIN WHY THAT IS THE ANSWER

Answers

Answer:

x = 25,

Step-by-step explanation:

(4x + 3) + (2x + 27) = 180 (Told they were a linear pair) (supplementary)

6x +30 = 180 (Combine like terms)

6x = 150 (Subtract 30 from both sides)

x = 25 (Divide both sides by 6)

m<RQS = 4(25) + 3

= 103 degrees

m<TQS = 2(25) + 27

= 77 degrees

Hope this helps

2
cups
9. The tallest player on a college
basketball team is 86 inches tall. The
shortest player is 5 feet 9 inches tall.
How much taller is the player who is
86 inches tall?

Answers

Answer:

A

Step-by-step explanation:

5 feet 9 in inches=69

86-69=17

a container of beads contains: 8 red beads, 7 yellow beads, and 6 green beads. a bead will be drawn from the basket and replaced 60 times. what is a reasonable prediction for the number of times a green or red bead is drawn

Answers

Answer:

42 is the reasonable prediction

Step-by-step explanation:

14/20 * 3/3=42/60=42

If the factored form of a quadratic is 4(x - 3)(2x + 5) = 0, what are the roots? A. 2,-3, and 5/2 B. 3 and -5/2 C. -3 and 2/5 D. - 3 and 5/2​

Answers

Answer:

B. 3 and -5/2

Step-by-step explanation:

The roots of a quadratic equation make the value of the equation equal to 0

Here, the equation is :

4(x - 3)(2x + 5) = 0

So, whatever values of x makes the equation 0 are the roots.

Hence,

x - 3 = 02x + 5 = 0

1st x value

x - 3 = 0x = 3

2nd x value

2x + 5 = 02x = -5x = -5/2

The roots are 3 and -5/2.

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