1. What domain restrictions apply to this rational expression? show work
x2 +10x+9/
x2-9

Answers

Answer 1

9514 1404 393

Answer:

  x ≠ -3, x ≠ 3

Step-by-step explanation:

As with any rational function, the denominator cannot be zero. Here that means we cannot have x such that ...

  x² -9 = 0

  (x -3)(x +3) = 0

  x = 3 or -3 . . . . . . . values not allowed in the domain


Related Questions

pweeez help me :3
How long does it take for the ball to reach its maximum height (or its vertex)?
A. 4 seconds
B. 2.5 seconds
C. 0.6 seconds
D. 2 seconds

Answers

Answer:

The vertex, (1.5, 40), tells us that it takes 1.5 seconds for the ball to reach its maximum height of 40 feet.

Step-by-step explanation:

...i think..

Which of the following expressions are equivalent to 6-3?

Answers

Answer:

1/216 and 1/6 raised to the 3 power.

A large group of friends needs to call a taxi service to get home. The taxi cab company charges $2 per mile

Answers

Answer:

36 dollars per person and they all will pay 2 dollars each the large group will hit a wall

WILL MARK BRAINLIEST!!!!

Answers

Answer:

Length DE= 2√2

Length EF= 2√2

Step-by-step explanation:

The 45-45-90 rule is very special but this question is really simple. You have all the angles and one side.

STEPS:

1) Take 45 from angle D and use its sine to find side EF

2) sin45= x/4 => 2.82 or  2√2

3) Take either cos45 from angle D or use Pythagoras since we now have enough side lengths to use Pythagoras (faster for me to use cosine).

4) cos45=x/4 => 2.82 or  2√2

Further explanation:

If you don't understand the sine and cosines, here's a word play to help.

S O/H

C A/H

T O/A

S=Sine

C=Cosine

T= Tangent

O= Opposite

H= Hypotenuse

A= Adjacent

If you search a video on this word play it will help more since it is visual.

Good luck.

Using the product rule of differentiation , evaluate the derivative of


g(x) = (2x3-5x)(7x+9)

Answers

Answer:

48987~اايلممماالمنهلبه

g’(x)=d/dx((2x^3-5x)(7x+9))
g’(x)=d/dx(14x^4+18x^3-35x^2-45x)
g’(x)= d/dx(14x^4)+d/dx(18x^3)+d/dx(-35x^2)+d/dx(-45x)
g’(x)=14(4x^3)+18(3x^2-35)2x-45
g’(x)= 56x^3+54x^2-70x-45 (answer)

What is the interest if you borrow $100 for 6 years at a semi-annual (6-month) interest rate of 8%?

Answers

Answer:

100 for 6 years a 6 mnt i.r of 8%

100×6÷12

=50

50÷12×6

25 of 8%

25×8÷100

2 ans..


Find 24½ % of 400 m.

Answers

Answer:

98 m

Step-by-step explanation:

A 1/2 is the same as 0.5 and % means out of a 100

[tex] \frac{24.5}{100} \times 400 \\ = 98[/tex]

Answer:

98

Step-by-step explanation:

24.5% = 0.245

400 x 0.245 = 98

The table given shows the number of red balloons a company includes in their packages of multi-colored balloons.
Total Number Number of Red
of Balloons In Balloons in
Package Package
50
30
100
60
150
90
How many red balloons would the company include in a package of 75 balloons?
A 45
B. 55
C. 75
D. 125

Answers

3Answer:

Step-by-step explanation:

HELP ASAP PLEASE EXPLAIN THOUGH

Answers

Answer:

35 times, or D

Step-by-step explanation:

A bag contains 5 red marbles, 6 blue marbles, 3 green marbles, 4 black marbles, and 2 yellow marbles. A marble will be drawn from the bag and replaced 100 times. What is a reasonable prediction for the number of times a green or black marble will be drawn?

A quick lesson on probability:

The probability of an event is: (the number of ways what you want can happen) / (total number of outcomes possible). For example, in a coin flip, there is 1 way to get heads, and 2 possible outcomes. Thus, the possiblity  of flipping a coin and getting heads is:

(1 way to get heads) / (2 possible outcomes) = 1/2

Then, if we were to flip the coin 100 times, we would expect about 1/2 of the times to be heads, so we should expect heads 50 times.  

On to the problem.

There are 3 green marbles and 4 black marbles, so there are 7 ways to draw a green or black marble.

Then, there are 5 + 6 + 3 + 4 + 2 = 20 possible outcomes.

Using the formula to find the probability, substitute the values we just found.

(the number of ways what you want can happen) / (total number of outcomes possible) =

(7 ways to draw a green or black marble) / (20 marbles that can be drawn) = 7/20 chance of getting a green or black marble.

Then, because there is a 7/20 chance of getting what we want, and there are 100 draws, we can say that an we should get green or black

7/20 * 100 = 35 times, or D

Feel free to ask any questions! :)

wich value from the set ( 0, 1/2, 2, 4) makes the equation 6-4x=4 true

Answers

Answer:

1/2

Step-by-step explanation:

6 - 4(0) = 6 (incorrect answer)

6 - 4(1/2) = 4 (correct answer)

6 - 4(2) = -2 (incorrect answer)

6 - 4(4) = -10 (incorrect answer)

I hope this helps :)

PLEASE PLEASE PLEASE I WILL LOVE YOU FOR LIFE

Answers

Answer:

x = 1

Step-by-step explanation:

From ΔABC and ΔDEF,

m∠C = m∠F [Given]

AC = DF [Given]

BC = EF [Given]

Therefore, ΔABC ≅ ΔDEF [By SAS property of congruence]

AB = DE [CPCTC]

2x - 1 = 5x - 4

5x - 2x = 4 - 1

3x = 3

x = 1

PLSS HELP I WILL GIVE BRAINLIEST PLSS

Answers

Answer:

2

Step-by-step explanation:

it is parallel it is the same but in a different ratio

Please help simplify it.

Answers

Answer:

[tex]-\frac{39}{4}a + \frac{52}{5}[/tex]

Step-by-step explanation:

[tex]-\frac{60}{6}a + \frac{84}{8} + \frac{1}{4}a - \frac{1}{10}[/tex]

= [tex]-\frac{120}{12}a + \frac{3}{12}a + \frac{420}{40} - \frac{4}{40}[/tex]

= [tex]-\frac{117}{12}a + \frac{416}{40}[/tex]

= [tex]-\frac{39}{4}a + \frac{52}{5}[/tex]

I hope this helps!! ^-^

There are 11 swimmers competing in a race. Prizes are awarded for the swimmers who finish in first, second, and third place. How many different ways can the swimmers finish first, second, and third? *​

Answers

Answer: 11·10·9 = 990 ways

Step-by-step explanation: first can be chosen 11 different way, second 10 different way and third 9 different way

Answer:

Answer: 11·10·9 = 990

Step-by-step explanation:

HOPE THIS HELPS!! :)

which 2 or 3 are they pls help

Answers

The answer is B.

z x 1 = z

z x 0.37 = 0.37z

= z + 0.37z

:)

The answer is B I think!

will make brainliest

Answers

Answer: The 3rd one.

Step-by-step explanation:

please help i will mark brainliest- Compare the function represented on the graph and the function modeled by y=2/3x

Answers

I’ve attached a photo of my thinking.....
Hope it helps!!
All are true but the second one

The comparison of the given function and the graph is required.

It is true that y-intercept of both functions is 0.

It is false that the slope of both functions is [tex]\dfrac{3}{2}[/tex]

It is true that the graphs function has a greater rate of change.

It is true that point (0,0) is the point of intersection for both the functions.

Function and graphs

Two points of the graph are (0,0),(-2,-3).

The equation of the line is

[tex]y-0=\dfrac{-3}{-2}(x-0)\\\Rightarrow y=\dfrac{3}{2}x[/tex]

The other equation is [tex]y=\dfrac{2}{3}x[/tex]

Both the lines pass through the origin so the y intercept of both the functions is 0.

Only the slope of the function in the graph is [tex]\dfrac{3}{2}[/tex] the other function has slope [tex]\dfrac{2}{3}[/tex]

Writing the decimal forms of the slopes [tex]\dfrac{3}{2}=1.5[/tex] and [tex]\dfrac{2}{3}=0.67[/tex]

The function in the graph does have a greater rate of change.

Learn more about functions and graphs:

https://brainly.com/question/3939432

Which statement is correct?
o
The absolute value of -29 is less than 29.
The absolute value of -8 is less than -7.
The absolute value of -34 is greater than 33.
The absolute value of -2 is greater than the absolute value of 5.

Answers

Answer:

The absolute value of -34 is greater than 33

Step-by-step explanation:

We convert -34 to its absolute form i.e

[tex] | - 34 = 34| [/tex]

Now comparison,

34 > 33

Hence, this statement is correct.

Angela buys a bracelet that was regularly priced for $150. She uses a coupon and gets 30% off. How much did Angela save?
A. 105
B.45
C.214.29
D.500

Answers

She saved $45 and now only has to pay $105

Weekly wages at a certain factory are
normally distributed with a mean of
$400 and a standard deviation of $50.
Find the probability that a worker
selected at random makes between
$300 and $350.

Answers

Answer:

0.136

Step-by-step explanation:

If you have a calculator with statistical functions, this problem is straightforward.

Use the normcdf function as follows:

normcdf(300,350,400,50) = 0.136

This result is the probability that a worker makes between $300 and $350 per week:  0.136

Need help with this please will give you the brainliest

Answers

Answer:

5m

Step-by-step explanation:

The volume doesnt count so do height × width

Answer:

SA = 50

Step-by-step explanation:

Formula for surface area of a rectangular prism : A=2(wl+hl+hw)  

hope this helps :)

how many miles per gallon does Joseph’s car run on?


_________ miles per gallon

And answer the Part b so i make sure i'm right or wrong.

Answers

Answer:

A. 17 miles per galllon

16-12 = 4

68/4 = 17

B. This question sounds kinda wonky to me but I think $8.08

2.02 x 4 = 8.08

Help me please !!! The exchange rate is $5.30 = 11.1 pesos . How many dollars did he receive if he exchange 42.7 pesos

Answers

Answer:

$2.00

Step-by-step explanation:

A factory has 88 employees. 50% of the employees work part-time. How many of the factory employees work part-time?

Answers

Answer: 44

Step-by-step explanation:

88/2 = 44

Answer:

44 because 50% of 88 is 44

Step-by-step explanation:

88 / 100 * 50

0.88 * 50

44

or in this case when it is 50% just do:

88 / 2

Mark me as brainliest if you want.

18 3/8f = -29 4/7 please help

Answers

Answer:

f=-552 /343 or 5=1 and 209/343

Step-by-step explanation:

Determine if the graph is proportional or non proportional and explain why

Answers

Answer: Is there supposed to be a picture??? If there is there isn't one

Step-by-step explanation:

Need help finding the measurement for x

Answers

Answer:

x=34

Step-by-step explanation:

x+(x+12)+(100) = 180

2x+112=180

x=68

x=34

Now use the length of the vertical line segment and the horizontal line segment to find the distance between G and H. Substitute these values in the equation for the Pythagorean Theorem.

Answers

Answer:

please first tell me the numbers written

Find the total surface area of the rectangular prism in square millimeters.

Answers

Answer:

168

Step-by-step explanation:


Bacteria colonies can triple in size every 4
days. If you start with 40 bacteria
microorganisms, how large would the
colony be after 20 days?
First, complete the equation:
Future Amount = 40(1+2)5
Now solve.
Future Amount = [ ? ] microorganisms

Answers

Answer:9720

Step-by-step explanation:

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