What is the LCM for (x + 3)2(x – 2) and (x + 3)(x2 – 16)? A. (x + 3) B. (x + 3)(x – 2)(x – 16) C. (x + 3)3(x – 2)(x2 + 16) D. (x + 3)2(x – 2)(x2 – 16)

Answers

Answer 1

Answer:

2(x-2)(x+3)(x-8)

Step-by-step explanation:

Answer 2

The LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3

Option A is correct

The task is to find the LCM of the expressions:

[tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex]

Note that:

[tex](x^2-16)=(x-4)(x+4)[/tex]

Therefore, the expression [tex](x+3)(x^2-16)[/tex] will become:

[tex](x+3)(x-4)(x+4)[/tex]

By considering the expressions [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex], it is observed that x + 3 is common to both expressions.

Therefore, the LCM of [tex](x+3)^2(x-2)[/tex] and [tex](x+3)(x^2-16)[/tex] is x + 3

Learn more on LCM here: https://brainly.com/question/13066728


Related Questions

Connor bought a baseball card eight years ago that has depreciated (goes down in value) by $120 since he purchased it. Find the average yearly change in the value of the card.

and show me how did you do it

Answers

Answer:

-$15

Step-by-step explanation:

To find the average yearly change, divide -120 by 8, since it has decreased by $120 over 8 years.

-120/8

= -15

So, the average yearly change in the value of the card is -$15

Answer:

$120/8= $15 in a year.

15 times 8 is 120.

My Work:

You can go to google and type in 120/8

Help needed ASAP will give you BRAINLIEST

Answers

The answer is bwhich is 196
Answer is B also known as 196

Solve This Equation
x/3 - 7(x-2)/9 = 4 - 2x-5/6

Answers

exact form: 42/55
decimal form: 0.763 (a line is above 63)

Please Help!!! I need help

Answers

Answer:

I cant see anything

Step-by-step explanation:

SRY U_U

Please help if you can. It’s a math problem, and please explain

Answers

Answer: The answer is B: 6

Step-by-step explanation:

3 times the square root of 36 is 18.

18 divided by the square root of 9 is equal to 6.

Answer:

6

Step-by-step explanation:

_

3/36 = 18 then dividedby 9 =6

If a + b ≤ 8 and a = 2, then b ≤ 5.Which of the following would be a counterexample?

Answers

Answer:

The correct counterexample is [tex]b \leq 6[/tex].

Step-by-step explanation:

We proceed to demonstrate the validity of given implication by direct demonstration and use of our knowledge in algebra:

1) [tex]a + b \leq 8[/tex] Given.

2) [tex]a = 2[/tex] Given.

3) [tex]2+b \leq 8[/tex] 2) in 1)

4) [tex]2 + b +(-2) \leq 8 +(-2)[/tex] Compatibility with addition.

5) [tex]b+[2+(-2)]\leq 6[/tex] Commutative and associative properties/Definition of subtraction

6) [tex]b \leq 6[/tex] Existence of additive inverse/Modulative property/Result.

This contradicts what implies the given proposition. The correct counterexample is [tex]b \leq 6[/tex].

Alex wants to multiply a number by 12. First, she multiplies the number by 6. What number does she now need to multiply her answer by?

Answers

Answer:

Hello! your answer should be 2 :)

Step-by-step explanation:

the simpliest way to look at multipicaton is just complex addition, so, for example, 10x3 is the same as 10+10+10. so for your question, we'll just add 6 to itself until we get to twelve! 6x1=6, 6x2=12, nice and simple, there's your answer! :)

She need to multiply by 2 next.

What is Number System?

A number system is defined as a system of writing to express numbers. It is the mathematical notation for representing numbers of a given set by using digits or other symbols in a consistent manner.

Alex wants to multiply the number with 12.

She multiples by 6 first.

So, we need to focus on that what can be multiply by 6 to get 12 or what will be the quotient dividing 12 by 6.

Both of the above will tell us what will be next number.

So,

6*2=12

or, 12/6=2

In both situation we get 2.

Hence, she need to multiply by 2 next.

Learn more about number system here:

https://brainly.com/question/21751836

#SPJ2

quick and simpler please im practicing this for class​

Answers

Answer:

a)  9/100 b) 7/20

Step-by-step explanation:

Brailiest and thx pleease!

What is 8 divided by 2 2/3

Answers

Answer:

3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

8 ÷ 2 2/3

8 ÷ 8/3

8/1 × 3/8

3

On Black Friday, new TV's are marked 40% off. A 50" TV was original price at $299. How much money are you going to save?

Answers

Answer:

a lot

Step-by-step explanation: brain usage

Answer:

$119.6

Step-by-step explanation:

1. Subtract 40% on your calculator from $299

2. From there you should get $119.6

3. Total of the tv would now be $179.4

#9 Alana made $45
babysitting for 6
hours. How much do
she make per hour?

Answers

Step 1:

Start by setting it up with the divisor 6 on the left side and the dividend 45 on the right side like this:

             

   6 ⟌ 4 5  

Step 2:

The divisor (6) goes into the first digit of the dividend (4), 0 time(s). Therefore, put 0 on top:

       0    

   6 ⟌ 4 5  

Step 3:

Multiply the divisor by the result in the previous step (6 x 0 = 0) and write that answer below the dividend.

       0    

   6 ⟌ 4 5  

       0    

Step 4:

Subtract the result in the previous step from the first digit of the dividend (4 - 0 = 4) and write the answer below.

       0    

   6 ⟌ 4 5  

     - 0    

       4    

Step 5:

Move down the 2nd digit of the dividend (5) like this:

       0    

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 6:

The divisor (6) goes into the bottom number (45), 7 time(s). Therefore, put 7 on top:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

Step 7:

Multiply the divisor by the result in the previous step (6 x 7 = 42) and write that answer at the bottom:

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

      4 2  

Step 8:

Subtract the result in the previous step from the number written above it. (45 - 42 = 3) and write the answer at the bottom.

       0 7  

   6 ⟌ 4 5  

     - 0    

       4 5  

     - 4 2  

         3  

You are done, because there are no more digits to move down from the dividend.

The answer is the top number and the remainder is the bottom number.

Therefore, the answer to 45 divided by 6 calculated using Long Division is:

7

3 Remainder

??????????????????????????????

Answers

Answer:

For 6 chairs, 72 screws and for 9 chairs, 108 screws.

Step-by-step explanation:

So, for every 2 chairs, he needs 24 screws.

By Unitary Method,

We get screws needed for one chair, that is, 24/2 = 12 screws for one chair.

So, for 6 chairs,

6 × 12 = 72 screws.

Similarly, for 9 chairs,

9 × 12 = 108 screws.

Answer:

The ratios to this would be:

[tex]\left[\begin{array}{ccc}2&24\\6&72\\9&108\end{array}\right][/tex]

Step-by-step explanation:

Ratios are similar to fractions, in some ways, ratios are to show the relation between two numbers, such like a proportion:

For example:

4:3

or the ratio of men' jobs to women's' is 8 to 1 (8:1)

In this case, it is said that:

Gary needs 24 screws for every 2 chairs.

The ratio of this is 24: 2

Also meaning:

[tex]\frac{24}{2}[/tex]

and [tex]2\sqrt{24}[/tex], the quotient is = 13

Now we multiply 12 to '6' and '9'

You will get:

12(6) = 72

12(9) = 108

This will be your answer.

The product of 8 and the sum of a number x and 14
Algebraic Expression

Answers

Answer:

8(x+14)

Step-by-step explanation:

Answer:

8x+112

Step-by-step explanation:

8(x+14) = 8x+112

7.8 x 10^3 in standard form.

Answers

Answer: 7800x

Step-by-step explanation:

Hope this helps!

graph a line that contains a point (-6,1) and has a slope of 5

Answers

The answer will be
y=5x + b
y=5x + 31
Step-by-step explanation:
Well you can get the answer by putting -6 in the x spot and 1 in the y spot if that make sense

365/12 divide it.................................pls help me

Answers

Answer:

30.42 (if rounded to the tenths place)

Step-by-step explanation:


A calculator screen shows a number in scientific notation as 1.04E10. Write this number in standard form.

Answers

[tex]1.04 \times {10}^{10} = [/tex]

[tex]104 \times {10}^{ - 2} \times {10}^{10} = [/tex]

[tex]104 \times {10}^{8} = [/tex]

[tex]10400000000[/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Abbie drove 325 miles in 5hrs. What is this rate in feet per second?

Answers

Answer:

4400

Step-by-step explanation:

Answer:

The rate should be 95.33 feet per second assuming that she drove with a constant speed

Step-by-step explanation:

First you divide 325 by 5. And you get 65 which is how many miles per hour she went. Then you can put it in a unit converter to change miles per hour to feet per second. And it should be 95.33 (sorry for my lack of a detailed explanation of how to transform miles per hour into feet per second)

A soccer ball is punted in the air. Its height after x seconds can be modeled by a quadratic function. The soccer ball reaches its maximum height of 85 feet after 3 seconds. The ball is trapped at a height of 2.5 feet, 6 seconds after being kicked. Write a quadratic function that models the height of the soccer ball, x seconds after being kicked.

Answers

Answer:

[tex]-9.31x^2+56.26x[/tex]

Step-by-step explanation:

Let the quadratic function be:

[tex]h=ax^2+bx+c[/tex]

Where [tex]h[/tex] is the height of soccer ball and

[tex]x[/tex] is the time in seconds.

Initially, at time [tex]x=0\Rightarrow h=0[/tex]

Therefore, [tex]c=0[/tex]

Given that,

[tex]x=3, h=85\\and\\x=6, h=2.5[/tex]

Putting the values and making equations in [tex]a,b[/tex] :

[tex]85=9a+3b\\2.5=36a+6b[/tex]

By solving the above equations, we get:

[tex]a=-9.31\\ and\\b =56.26[/tex]

So, the quadratic expression is:

[tex]-9.31x^2+56.26x[/tex]

Which rule describes the transformation?

Answers

Answer:

I think rotation and reflecting

Tonya wrote the equation below which solves for x.

x = 150 minus 6 y

Which equation is equivalent to Tonya’s equation?
x + 150 = 6 y
x + 6y = 150
2x + 3y = 75
2 x minus 3 y = 75

Answers

Given parameters:

    x = 150 minus 6 y

Interpreting this gives;

    minus = subtraction  = -

 

        x  = 150 - 6y

Now bring the variables together;

                    x + 6y  = 150

The option that matches with this equivalent.

The other choices are wrong;

   

   a,  x + 150 = 6 y

           x - 6y = 150   wrong

 c. 2x + 3y = 75   mulitply through by 2;

      2(2x + 3y) = 2(75)

        4x + 6y  = 150      wrong

   d. 2x - 3y = 75

    Multiply by 2;

     2(2x -3y) = 2(75)

      4x - 6y = 150

Answer:

x+6y = 150 (B)

Step-by-step explanation:

PLEASE ANSWER. I WILL MARK BRAINLIEST IF CORRECT! How does the graph of g(x)=√16x/36 compare to the graph of the square root function?


A. The graph is shrunk by a factor of 4/9.

B. The graph is shrunk by a factor of 2/3.

C. The graph is stretched by a factor of 4/9.

D. The graph is stretched by a factor of 2/3.

Answers

Answer:

B

Step-by-step explanation:

Answer:

B

I copied the answer above me tbh

Clayton Kershaw, a baseball player for the Los Angeles Dodgers, makes $30.15 million per year. There are 162 games in a major league baseball season. Carmello Anthony, a basketball player for the Knicks, makes $24.81 million per year. There are 82 games in a NBA season. Which player is making more money per game played? Round any answers to the hundredths place.

Answers

Answer:

Carmello Anthony make more money per game

Step-by-step explanation:

we are expected to calculate how much each player is making per game, compare the values and tell who makes more money per game

Clayton Kershaw

given data

$30.15 million per year

There are 162 games in a major league baseball season.

therefore a game will be worth

=30,150,000/162

=$186,111

Carmello Anthony

given data

$24.81 million per year

There are 82 games in a NBA season.

therefore a game will be worth

=24,810,000/82

=$302,561

from the analysis, Carmello Anthony make more money per game

                                               

can you use a square to tile a floor?

Answers

Answer:

Uh, what is the square made out of? A square tile, then, sure, I guess.

(b) About how many times larger was the population of the United States than the population of Columbus, Ohio? Show your work! NEED ANSWER ASAP WILL DO BRAINLEIST AND ITS 30 POINTS!!!
Columbus, Ohio:8.25x 10^5

The United States: 3.2*10^8

Answers

Answer:

The population of the United States is 387.87 times larger than the population of Columbus, Ohio.

Step-by-step explanation:

8.25 times 10^5 = 825,000

3.2 times 10^8 = 320,000,000

320,000,000 divided by 825,000 = 387.87

Solve for x
65=6x-1
A) 11
C) 8
B) 1
D) 11
Choose
Untitled Ouestion

Answers

Answer:

А) 11

Step-by-step explanation:

65 = 6x - 1

6x = 65 + 1

6x = 66

x = 11

Which staternent is about the polynomial 3x ^ 2 * y ^ 2 - 5x * y ^ 2 - 3x ^ 2 * y ^ 2 + 2x ^ 2 after it has been fully simplified has 2 terms and a degree of 2 It has 2 terms and a degree of 3 . }has 4 terms and a degree of 2 . It has 4 terms and a degree of 4.

Answers

Answer:

The polynomial has 2 terms and a degree of 3.

Step-by-step explanation:

The given polynomial is [tex]3x^2y^2-5xy^2-3x^2y^2+2x^2[/tex].

On simplification, the polynomial becomes:

[tex]-5xy^2+2x^2[/tex]

Numbers of term=2

Degree=1+2=3

Hence, the polynomial has 2 terms and a degree of 3.

The point G (-6, 4) is translated 2 units left.
What are the coordinates of the resulting point G'?
A (-8,4)
B) (-6,2
C (-4,4)
(-8,6)

Answers

Answer:

A

Step-by-step explanation:

By translating 2 units left, it means the x-axis value is made more negative by 2 units

So we are going to subtract two from the x-coordinate

So we have;

(-6-2,4)

= (-8,4)

calculate the number between -7 and 6

Answers

Answer:

-13

Step-by-step explanation:

when you calcute -7and 6 you get -13

You are a contractor and charge $45 for a site visit plus an additional $24 per hour for each hour you spend working at the site. Write and solve an equation to determine how many total hours you have to work to earn $117 working at two separate work sites. Write an equation to describe the situation. Use h to represent the number of hours.

Please help asap and thanksss

Answers

Answer:

y = mx + b

where,

y = earning

m = slope or earning per hour = $24

x = total number of hours

b = y intercept or initial earning upon visit = $45

Hence,

y = 24x + 45

Since we are working at two separate work sites, therefore each site we must earn 810/2 = 405

So when y = 405:

405 = 24x + 45

x = 15 hours

So you must work 15 hours at each site.

Step-by-step explanation:

Answer:

7.56 hours.

Step-by-step explanation:

So my equation will be:

$45 + $24h

If we need to find out how many hours you have to work in order to earn $117 working at two separate work sites, the equation would look like this:

45 + 25h ÷ 2 = 117.

First we need to multiply both sides of th equation by 2.

[tex]\frac{2\left(45+25h\right)}{2}=117\cdot \:2[/tex]

Then, I had to simplify.

[tex]5+25h=234[/tex]

After simplifying, it was about time to subtract 45 from both sides of the equation.

[tex]45+25h-45=234-45[/tex]

I had to simplify again, then divide both sides by 25.

[tex]25h=189[/tex]

[tex]\frac{25h}{25}=\frac{189}{25}[/tex]

Again, I have to simplify for a final time to get the answer of..

[tex]h=\frac{189}{25}[/tex]

In decimal form, thats equal to 7.56 hours.

h = 7.56.

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