Simplify. State any restrictions on the variables.
[tex]\frac{x^2+9x+18}{x+6}[/tex]

Answers

Answer 1

Answer: [tex]x+3, x \neq -6[/tex]

Step-by-step explanation:

The denominator cannot equal 0, so [tex]x \neq -6[/tex].

Simplfying,

[tex]\frac{x^2 +9x+18}{x+6}=\frac{(x+6)(x+3)}{x+6}=x+3[/tex]


Related Questions

guess what property is used:

[tex] \frac{-4}{7} + \frac{5}{8} = \frac{5}{8} + ( \frac{ - 4}{7} )[/tex]
[tex]( \frac{1}{2} \times \frac{4}{7} ) \times ( \frac{ - 2}{3} )= \frac{1}{2} \times ( \frac{4}{7} \times ( \frac{ - 2}{3} ))[/tex]
7/-8 x (-8/7)=1

i will mark u brainliest if u answer this correctly​

Answers

Answer:

Step-by-step explanation:

1 no is commutative property.

2 no is associative property

3 no is multiplicative inverse property.

Answer: associative property

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?
A. 119:120. B. 1: 121. C. 121/120. D 120/1





PLEASE HELP ​

Answers

Answer:

Answer is 120/1

Step-by-step explanation:

Marsha can type 120 words per minute. Which ratio describes this relationship between her words typed and time?

Marsha an type in 1 minute = 120 words

The ratio can be described word types and time = 120 words per 1 min

                                                                                 = 120/1

Answer: D

Step-by-step explanation:

My answers correct becuase, A ratio is just the numbers put together put a : in between them. So if it is asking us words to the time all we have to do is put 120 and then a semicolone and 1. 120:1 And D is the one that has that answer so D is correct. Additonal Information: Also sometimes you would have to divide the number equally to get the ratio.

Hope This Helps!

A bag contains 5 blue, 4 red, 7 black and 2 white marbles. What is the probability of selecting a marble that is NOT white?

Answers

5+4+7+2=18

18-2=16

16/18

88% chance of selecting a marble that isnt white

Answer:

8/9

Step-by-step explanation:

P(white) = (2) ÷ (5+4+7+2) = (2)/(18) = 1/9

P(not white) = 1 - P(white) = 1 - 1/9 = 8/9

Which equation can be used to solve for x in the following diagram

Answers

Answer:

10x+10 = 110

Step-by-step explanation:

The two angles are vertical angles and vertical angles are equal

10x+10 = 110

Find the sum of the geometric series if n = 6, r= 1/4, a = 2.

Answers

Sn = a(1-r^n)/(1-r)

Sn= 2(1-1/4096)/0.75= 2.67

Will give Brainly plz answer fast

Answers

Answer:

sr for messy handwriting

I need this by Friday please !
Find a degree measure of each angle in the triangle!

Answers

Answer:

B=19

C=42

D=119

Step-by-step explanation:

First, fine the value of x, than use that in each angle to find the measurement.

All angles together in the triangle equal 180

Set your formula up as

180=(x+2)+(3x-9)+7x

180=x+3x+7x+2-9

180-2+9=11x

187=11x

187/11=x

17=x

Angle B

B=x+2

B=17+2

B=19

Angle C

C=3x-9

C=3*17-9

C=42

Angle D

D=7x

D=7*17

D=119

Now add all 3 tougher to check your work

19+42+119 = 180

two algebra questions​

Answers

I’m not able to answer the second question, so I’m sorry about that, but for the first one it’s x = 8
The extraneous solution is 8
The value of the constant ratio is 2

Please can somebody help me please!

Answers

Answer:

h = 12 ft

Step-by-step explanation:

Area of a rectangle formula:

A = bh

Given:

A = 24b

b = 2b

Work:

A = bh

24b = 2b(h)

h = (24b)/(2b)

h = 12

PLZ ANSWER WILL GIVE BRAINLIEST!!!

Answers

Answer:

4W+8+4W+4=180

8W+12. =180

. 8W=180-12

8W=168

W=21

BPC =4W+4

DE=360-(4W+4+4W+8+4W+4+2W+11)

=360-(14W+27)

=360-(14×21)-27

=360-321

= 39

The midpoint of the coordinates (9, 11) and (7,8) is​

Answers

Answer:

The midpoint: (8,9.5)

Step-by-step explanation:

((9+7)/2,(11+8)/2))

please help asap thanks

Answers

Answer:

All functions are relations

Step-by-step explanation:

A coffee vending machine fills 100 cups of coffee before it has to be refilled. On a Monday, the mean number of ounces filled in a cup of coffee was 7.5. The machine is known to have a standard deviation in filling volume of 0.25 ounces. Find a 99% confidence interval for the mean number of ounces dispensed by this machine.

Answers

Answer:

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{0.25}{\sqrt{100}} = 0.06[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 7.5 - 0.06 = 7.44 ounces.

The upper end of the interval is the sample mean added to M. So it is 7.5 + 0.06 = 7.56 ounces.

The 99% confidence interval for the mean number of ounces dispensed by this machine is (7.44, 7.56).

explain or not idc lol

Answers

Answer:

B, 20,000

Step-by-step explanation:

429 X 48 = 20,598

If you estimate, it would be 20,000.

So, there you know B, 20,000 is your answer.

Solve for t 8t-{(6t-1)/2}=5
I'm not sure how to go about a removing the fraction here. I'm 20 years rusty.

Answers

Answer:

t=9/10 Hope that helped

Hope this helps!

Armycee:)

Given R=1/4 Q^2 solve for Q

Answers

9514 1404 393

Answer:

  Q = ±2√R

Step-by-step explanation:

Take the square root:

  ±√R = 1/2Q

Multiply by 2:

  Q = ±2√R


Given circle o, what is the length of arc AB if m AOB =40° ?
Radius is 9

Answers

Answer:

Arc length = 6.28 units

Step-by-step explanation:

[tex]Arc \ length = 2 \pi r \frac{ \theta}{360} = 2 \times \pi \times 9 \times \frac{40}{360} = 2\pi = 6.28[/tex]

chhering deposite rs. 40000 in a bank at the rate of 5% p.a. if he has to pay 5%of the total interest as tax for the bank how much will he get after 4 years​

Answers

Answer: Rs 7600

Step-by-step explanation:

The interest will be calculated as:

= Principal × Rate × Time

= 40000 × 5% × 4

= 40000 × 0.05 × 4

= 8000

Since he has to pay 5% of the total interest as tax for the bank, the amount that he will he get after 4 years will be:

= 8000 - (5% × 8000)

= 8000 - (0.05 × 8000)

= 8000 - 400

= 7600

Therefore, he'll get Rs 7600

Write down the general equation of the normal distribution

Answers

The following is the plot of the normal percent point function. where \phi is the cumulative distribution function of the standard normal distribution and Φ is the probability density function of the standard normal distribution.

Shelia is baking a few cakes for the bake sale for her school. Each cake requires 5/6 cups of sugar. How many cakes can she bake if she has 7 1/2 cup of sugar?

Answers

7 1/2 / 5/6
15/2 / 5/6
15/2 x 6/5
90/ 10
= 9

9 cups can be baked if she has 7 1/2 cup of sugar in

You saved $200 on your new laptop because you bought it online. If this was a 20% savings from the original price, find the original cost of the lapto

Answers

Answer:

$1000

Step-by-step explanation:

$200 was saved on a new laptop

This was 20% of the original price of the laptop

Therefote the original cost of the laptop can be calculated as follows

= 20/100x = 200

= 0.2x= 200

Divide both sides by the coefficient of x which is 0.2

x= 200/0.2

= 1000

Hence the original cost of the laptop is $1000

Pls help me ASAP show work please

Answers

Answer:

$3.48 for each pair of socks.

Step-by-step explanation:

It's a little confusing, because it says they're buying 2 socks, but then asks for the price of each of 2 *pairs* of socks. I'm going to believe the first sentence should say they paid for 2 pairs of socks.

They have $10, and get $3.04 in change. So we'll subtract $3.04 from $10 to find out the cost of 2 pairs of socks.

10 - 3.04 = 6.96

Then divide $6.96 by 2 pairs of socks

6.96/2 = $3.48 for each pair of socks.

You determined that you can make 72 donuts in 2hours. At rate,how many donuts can you make in 8 hours?

Answers

Answer:

288 donuts

Step-by-step explanation:

Answer:

288 donuts

Step-by-step explanation:

72 divided by 2 is 36 so that means you will make 36 donuts in 1 hour so now we have our unit rate which is 36. so then you multiply 36 by 8 and you get 288. that is your answer

a rectangular garden measures 300m by 460m. what is the perimeter of the garden ? in metres?​

Answers

Answer:

hgvjkhy88ubuybyi

Step-by-step explanation:

hjuoihgvgbhko

Help please!!!!!!!!!!!!!!!

Answers

Answer:

-1, 5

Step-by-step explanation:

no really explanation, but its a graph and when u have agraph x goes before y. and the x in the middle of it is what its talking about and u can see the middle is on a 5 and a -1

PLEASE I NEED HELP WITH THIS PROBLEM
Order the following numbers from least to greatest.

A. -12,-35,-23,58
B.-12,-35,58,-23
C.-23,-35,-12,58
D.-35,-23,-12,58
Explain how

Answers

Answer:

D. -35,-23,-12,58

Step-by-step explanation:

Image a line that goes to the negative, as well as the positives, -35 would be lower on that line

-35          -23       -12        0       12      23          35           58

--------------------------------------------------------------------------------------

negatives would be the least
anything above 0 would normally be the greatest

so d has all the numbers in the correct order

Which of the following is the solution to this system of equations?
-2x + 3y = 18
x = -y + 1
Possible answers
No solution Infinite solution 4,-3 -3,4

Answers

Answer:

-3, 4

Step-by-step explanation:

__________________

PLS HELP THIS IS A TEST

Which number satisfies the inequality below?

1.75x + 4.50 < 20

a: 13
b: 14
c: 9
d: 7

Answers

Answer:

D: 7

Step-by-step explanation:

1.75 (7) + 4.50

12.25 + 4.50

= 16.75

16.75 < 20

How many outcome sequences are possible when a die is rolled 4 times where we say for instance that the outcome is 3 4 3 1 if the first roll landed on 3 the second on 4 the third on 3 and the fourth on 1

Answers

Answer:

the possible outcome sequences when a die is rolled 4 times is 1296

Step-by-step explanation:

 Given the data in the question;

a die is rolled 4 times

and outcomes are { 3, 4, 3, 1 }

we know that; possible number of outcomes on a die is n = 6{ 1,2,3,4,5,6 }

Now when we roll a die lets say, r times

then the total number of possible outcomes will be;

N = [tex]n^r[/tex]

given that; r = 4

Hence if we roll a die 4 times;

Total number of possible outcome N = 6⁴

N = 1296

Therefore, the possible outcome sequences when a die is rolled 4 times is 1296

Find the volume. If you have any problems please tell me thank you.

Answers

Answer:

Step-by-step explanation:

Formula = V = l x w x h

V = 4.25 x 2.75 x 5

V = 58.438 --> 58.44

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