least common multiple for (x+3)^2(x-2) and (x+3)(x^2-16)

Answers

Answer 1

[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]

Step-by-step explanation:

[tex] {(x + 3)}^{2} (x - 2) \: \: \: (x + 3)( {x}^{2} - 16)[/tex]

The first one can be kept in that form while the second can be factored as

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

so we can see that the LCM is

[tex] {(x + 3)}^{2}(x - 2)(x + 4)(x - 4)[/tex]


Related Questions

8. Which of the following cannot be written as an expression? *
F. six times a number less nine
G. eight times the quotient of 6 and 3
H. the difference between a number and 12
J. five times a number is 30

Answers

Answer:

f

Step-by-step explanation:

because it's less than mine not less nine

Please help me with this one!!

Answers

Answer:

I think the answer is C or D

the circumference of a circle is 4π ft. find its diameter in feet

Answers

Answer:

4 is the diameter

Step-by-step explanation:

Given:

C = 4π

Formula for circumference:

C = 2πr

Work:

C = 2πr

4π = 2πr

r = (4π)/(2π)

r = 2

Diameter:

d = 2r

d = 2(2)

d = 4

2x-8=x+4. What would x be

Answers

[tex]2x - 8 = x + 4[/tex]

Collecting like terms,

[tex]2x - x = 4 + 8[/tex]

Since the signs change when its position changes.

[tex]x = 8 + 4 \\ x = 12[/tex]

Answer:

The value of x would be 12.

Step-by-step explanation:

2x - 8 = x + 4

2x - x = 4 + 8

x = 12

Which Movie has a greater median?

Answers

Answer:

movie A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Movie A

Step-by-step explanation:

Each base in this right prism-like figure is a quarter of a circle with a radius of 2m.
What is the volume of the figure?
Give an exact answer in terms of pi.

Answers

Answer:

[tex]volume = 10\pi m^3[/tex]

Step-by-step explanation:

Volume of a prism = Base Area x height

Base is a quarter of a circle.

              [tex]Area \ of \ circle = \pi r^2\\\\r = 2m\\\\Area \ of \ quarter \ of \ a \ circle = \frac{1}{4} \pi r^2 = \frac{1}{4}\pi \times 4 = \pi m^2[/tex]

Base Area = π square meters.

Therefore ,

          [tex]Volume = Base Area \times height = \pi \times 10 = 10\pi m^3[/tex]

Evaluate the arithmetic series described
1+3+5+ 7. S8
116
58
128

Answers

Answer:

64

Step-by-step explanation:

1=3+5+7....S8 and ..... is 64

How many solutions are in the graph

Answers

Answer:

Infinetly Many Solutions

Step-by-step explanation:

Because the arrows show the the answers are never ending.

Which equation results from adding the equations in this system?
-2x+y = 8
5x-y=-5
O 7x=13
O 7x=3
O 3x=3
3x= 13

Answers

Answer: 3x=3

Step-by-step explanation: Let's divide this into parts--

1. Adding the x variables: -2x+5x or 5x-2x = 3x.

2. Adding the y variables: y-y or -y+y = 0. (The negative and the positive y cancel each other out.)

3. Adding the numbers: 8-5 or -5+8 = 3.

Now just put it back into an equation: 3x + 0 = 3.

We don't need to add the 0, so the equation changes into 3x = 3.

Write the algebraic expression for ‘x plus five is twenty three’

Answers

Answer:

x + 5 = 23

Step-by-step explanation:

Just write it like how you say it.

The algebraic expression for the given phrase is x+5=23.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given phrase is "x plus five is twenty three"

Here, the equation is x+5=23

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Transpose 5 to the RHS of the equation, we get

x=23-5

x=18

Therefore, the x value is 18.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ3

The deli gets 1212 -pound blocks of cheese. They slice the cheese into \frac{1}{4} 4 1 ​ - pound and \frac{1}{2} 2 1 ​ - pound packages to sell to customers. How many \frac{1}{2} 2 1 ​ - pound packages of cheese can the deli make with 1212 pounds of cheese?

Answers

Answer:

24

Step-by-step explanation:

Based on the question given :

Total pounds of cheese = 12

These cheese are sliced into 1/4 pounds and 1/2 pounds packages.

What the question requests is the number of 1/2 pounds fraction we can get from the total 12 pounds of cheese.

This means we aren't cutting out 1/4 pounds fraction from this package as the question didn't specify.

Hence, the number of 1/2 pounds fraction obtainable from 12 pounds of cheese I s:

We divide the 12 pounds cheese by 1/2

This gives :

12 ÷ 1/2 ; 12 / 1/2

÷ change to multiplication ond the reciprocal of the denominator is used

12 * 2 /1 = 24 /1

We Obtain 24 1/2-pound cheese

A relay race covers 1\dfrac121 2 1 ​ 1, start fraction, 1, divided by, 2, end fraction kilometers, and each runner on a team will run \dfrac14 4 1 ​ start fraction, 1, divided by, 4, end fraction of a kilometer. I NEED A ANSWERRRR

Answers

Answer:

6 runners

Step-by-step explanation:

Complete question

A relay race covers 1 1/2 kilometers, and each runner on a team will run 1/4 of a kilometer.  How many runners are needed for a team?

Given that;

1 runner = 1/4 km

If a relay race covers  1 1/2 km, hence;

x runner = 1 1/2 km

Divide both expressions

1/x = (1/4)÷(1 1/2)

1/x = 1/4 ÷ 3/2

1/x = 1/4 * 2/3

1/x = 2/12

Cross multiply

2x = 12

x = 12/2

x = 6

Hence 6 runners are needed for the race

Identify the like terms in the expression 7x+4y+3y+7
a 7x and 7
b 4y and 3y
c 7
d 7, 4, 3

Answers

the answer would be b, 4y and 3y. both have y in them so they would be like terms

i need help asap please!!!!!!!!!!!!!!!!!!

Answers

Answer:  A) 45 square cm

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

Explanation:

The length of 17 cm and slanted length of 10 cm are not used at all. They are likely thrown in as a distraction.

Instead, we focus on the horizontal base of 10 cm and the vertical height of 9 cm. The base and height are always perpendicular to one another.

The area of the triangle is therefore...

area = base*height/2

area = 10*9/2

area = 90/2

area = 45 square cm

It doesn't matter that this triangle is obtuse, the same area formula applies to any triangle.

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

A longer method would have you compute the area of the dashed triangle, and the area of the two combined triangles (the largest overall triangle). Subtracting the two would lead to the answer of 45 cm^2. You'll need the pythagorean theorem to find the base of the dashed triangle, which then helps find the base of the largest triangle overall as well. At this point is when the 17 and 10 come into play, but I find the first method is much easier.

Answer:

C. 50 [tex]cm^2[/tex]

Step-by-step explanation:

area of big triangle - area of small triangle

find missing side lengths with pythagorean theorem:

[tex]9^2 + b^2=10^2\\\\81+b^2=100\\\\b^2= 19\\\\b=\sqrt{19}\\[/tex]

[tex]10^2+b^2=17^2\\\\100+b^2=289\\\\b^2=189\\\\b=\sqrt{189}[/tex]

find area:

1/2(10)([tex]\sqrt{189}[/tex] ) - 1/2([tex]\sqrt{19}[/tex] )(9)

=   49.124

which is closest to 50 [tex]cm^2[/tex]

Find the missing side or angle.
Round to the nearest tenth.
B=45°
a=9
c=19
b=[ ]

Answers

Answer:

[tex]14.1[/tex]

Step-by-step explanation:

Since we have two sides of a triangle and the angle between them, we can use the Law of Cosines.

For any triangle, the Law of Cosines states:

[tex]b^2=a^2+c^2-2ac\cos B[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are all interchangeable.

Substituting given values, we have:

[tex]b^2=9^2+19^2-2(9)(19)\cos 45^{\circ},\\b^2=200.169480834,\\b\approx \boxed{14.1}[/tex]

8. Rename the quadratic function f(x) = -2(x + 4)2 - 5 in standard form. A. f(x) = -2x2 + 16x - 37 G. f(x) = -2x2 – 16x + 27 B. f(x) = -2x2 + 16x + 27 D, f(x) = -2x2 – 16x - 37​

Answers

Answer:

see explanation

Step-by-step explanation:

f(x)= -2(x²+8x+16)-5

[tex] -2 {x}^{2} - 16x - 32 - 5 \\ f(x)= - 2 {x}^{2} - 16x - 37[/tex]

Please help its due in 15 min hurry 100 points

Answers

Answer:

yes

Step-by-step explanation:

What is the solution set for the inequality below? 8x – 3 < 29

Answers

Answer:

[tex] solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

Step-by-step explanation:

[tex]8x - 3 < 29 \\ \\ 8x < 29 + 3 \\ \\ 8x < 32 \\ \\ x < \frac{32}{8} \\ \\ x < 4 \\ \\ solution \: set = \{ ... - 2, \: - 1, \: 0, \: 1, \: 2, \: 3\}[/tex]

10 points. Please don't give a answer that doesn't make sense.

Answers

C. The trend is decreasing

it’s the only one that’s not true because choices b and d are basically the same, and it is increasing.
Among us in real life sus sus

TJ-Maxx offered a 36% discount off the original
price of a head board. The amount of the discount
is $9. What is the regular price of the head board?
I DONT WANT TO GO TO SUMMER SCHOOL

Answers

Answer:

$25.00

Step-by-step explanation:

well start of by using the rules of 3.

( always remeber that multiply is diagonal and divide left by one on the left)

Answer:

Step-by-step explanation:

?????????/

which values are solutions to the inequality -3(x)-4<2

Answers

Answer:

x>-2

Step-by-step explanation:

So, lets start by distrubuting the -3 to x:

-3x-4<2

Then lets just start solving. First lets add 4 to both sides to get -3x alone:

-3x<6

Now lets divide -3 from both sides to get x alone:

x<-2

There is one thing we must remember, however.

When dividing a inequality by a negative, the sign is flipped.

So in this case, the < is now >:

x>-2

This basically means a solution is any value greater than -2!

Hope this helps!

Please help me with 1,2,3,4 and show me how you get it the answers

Answers

Answer:

Step-by-step explanation:

Use the formula of distance between the two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex],

Distance = [tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

1. Distance between A(3, 4) and B(8, 12),

  AB = [tex]\sqrt{(8-3)^2+(12-4)^2}[/tex]

  AB = [tex]\sqrt{25+64}[/tex]

        = [tex]\sqrt{89}[/tex]

        ≈ 9.43

2. Distance between C(-2, 10) and D(3, -2),

   CD = [tex]\sqrt{(3+2)^2+(-2-10)^2}[/tex]

         = [tex]\sqrt{25+144}[/tex]

         = [tex]\sqrt{169}[/tex]

         = 13.00

3. Distance between X(20, 4) and Y(17, 0),

    XY = [tex]\sqrt{(20-17)^2+(4-0)^2}[/tex]

          = [tex]\sqrt{3^2+4^2}[/tex]

          = [tex]\sqrt{25}[/tex]

          = 5.00

4. Distance between E(2, -1) and M(6, 9),

    EM = [tex]\sqrt{(2-6)^2+(-1-9)^2}[/tex]

          = [tex]\sqrt{16+100}[/tex]

          = [tex]\sqrt{116}[/tex]

          = 10.77

show your work please!​

Answers

Answer:

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex] = 8

Step-by-step explanation:

The given expression is :

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}[/tex]

We know that,

[tex]\dfrac{1}{x}=x^{-1}[/tex]

So,

[tex](\dfrac{1}{4})^{\dfrac{-3}{2}}=(\dfrac{1}{2^2})^{\dfrac{-3}{2}}\\\\=(2^{-2})^{\dfrac{-3}{2}}\\\\=(2^{-1})^{-3}\\\\=2^3\\\\=8[/tex]

So, the value of the given expression is 8.

c=5/9(f-32) solve in c

Answers

Answer:

it should be c = 5f/9 - 160/9 if solving for c.

True or False? The lateral surface area is the same as the total surface area.

Answers

Answer:

Lateral surface area means curved surface area

Total surface area means curved surface area + surface area of the bottom and top.

So i think its false

Step-by-step explanation:

What is the surface area of a cylinder with radius x + 3 and height x + 11?

Answers

Answer:

A≈263.89

Step-by-step explanation:

Solution

A=2πrh+2πr2=2·π·3·11+2·π·32≈263.89378

Daniel drew a toy from a treasure chest containing 30 different toys. He selected a bouncy ball without replacement and then selected a key chain. What is the probability this could occur

Answers

Answer:

[tex]Pr = \frac{1}{870}[/tex]

Step-by-step explanation:

Given

[tex]n =30[/tex]

Required

Probability of selecting 2 toys of different types

From the question, we understand that all toys are different i.e. 1 of each type.

And the selection is without replacement;

So, after the first toy is selected; there are n - 1 toys left.

So, the probability is:

[tex]Pr = \frac{1}{n} * \frac{1}{n - 1}[/tex]

Substitute [tex]n =30[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{30- 1}[/tex]

[tex]Pr = \frac{1}{30} * \frac{1}{29}[/tex]

[tex]Pr = \frac{1}{30*29}[/tex]

[tex]Pr = \frac{1}{870}[/tex]

9 more than the product of 3 and 12

Answers

Answer:

393

Step-by-step explanation:

(32)(12) + 9

This comes out to 384 + 9 = 393

What is the value of x?

Enter your answer in the box.

x =
What is the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

using the Pythagorean theorem:

x² = 13² - 12² = 169 - 144 = 25

x = √25 = 5

Answer:

x = 5.

Step-by-step explanation:

For a right triangle, use the Pythagorean Theorem, a² + b² = c², where a and b are the sides, and c is the hypotenuse.

a² + b² = c²

x²+ 12² = 13²

x² + 144 = 169

Subtract 144 from both sides.

x² = 25

x = 5.

Proof:

a² + b² = c²

5² + 12² = 13²

25 + 144 = 169

169 = 169.

Given that the measure of ∠ is 45°, and the measure of ∠ is 49°, find the measure of ∠.

Answers

Answer:

86º

Step-by-step explanation:

If this is a trriangle the sum of the angles is 180º

180 - 45 - 49 = 86º

Other Questions
An agent's client calls on Monday to discuss the current market situation. They discuss how 100 shares of KAPCO common stock would be an appropriate addition to the client's portfolio. On Thursday, the client calls and tells the agent to place an order for the KAPCO stock at whatever price the agent feels is best. The agent waits until Friday, purchasing the stock at a price $2 per share below Thursday's low. In this case the agent acted A) improperly; the order should have been placed on Thursday B) properly because the agent used discretion as to price and time C) improperly; the order cannot be placed without prior written authorization allowing discretion D) properly because the agent saved the client money A freight train is traveling 150 km east to the nearest lumber yard. It took the train 3 hours to arrive. At what velocity is the train traveling what is the length, in feet, of the hypotenuse of a right triangle with legs that are 6 feet long and 7 feet long, respectively Please help me with this question !!!!!!!!!! PLS HELP!!! I ONLY HAVE 5 MINS BEFORE I NEED TO TURN THIS IN!! PLSS Write a rule for the nth term of the arithmetic sequence. Then graph the first six terms of the sequence. a6=-12 a12=-36 Find x if the average of 19, 12, 14, 18, and x is 12. Kyle is practicing for a 3 mile race. His normal time is 23 minutes and 26 seconds. Yesterday it took him 21 minutes and 38 seconds. How much faster was Kyle's time yesterday than his normal time? Lesson 6 Homework Practice Select an Appropriate Display Connor makes 3 batches of muffins . Each batch has 12 muffins . Connor eats 2 muffins . What is m, the number of muffins Connor has left If you earn $40,000/yr, how much an hour do you earn if the total hours in a work year is 2080? How many milliliters equal to 8.25 liters PLEASE HELP THIS IS VERYYYY IMPORTANT PLEASE I WILL GIVE U BRAIN THING IF ITS CORRECT AND NOOO LINKS PLEASEEEEEEEE what is the meaning of nutrition What is the preterit? What is it trying to communicate? Which of the following best describes the relationship between the Jewish and Christian Bibles?A. The Christian Bible includes the Hebrew Bible.B. The Hebrew Bible is completely different from the Christian Bible.C. Both Bibles include the Ten Commandments, but are otherwise different.D. The Christian Bible is older than the Hebrew Bible. Read this passage from Giovanna's evaluation of an argument claiming that climate change is not affected by human activity.Niemand's article on climate change in the editorial section of today's newspaper offers a weak argument. His reasoning consists of little more than unsubstantiated assertions that climate change is not affected by human activity.In an effective evaluation, which element would follow this statement?a summary of Niemand's claimtext evidence from Niemand's argumenta restatement of Giovanna's evaluationthe name and source of Niemand's article A national publication showed the following distribution of favorite class subjects for high school students.MusicOtherMathSocial StudiesClass SubjectPercentageEnglish141Physical Education26%2057%5%28%Pasquale, a student from a high school of 1.200 students, wants to see whether the distribution at his school matches that of the publication. He stands at the school entrance in the morning andasks the first 40 students he sees what their favorite class is. Pasquale records the following table of observed values.SubmitOtherMathEnglishPhysical EducationSocial StudiesClass SubjectObservedMusic66867He decides to conduct a chi-square goodness of-fit test to see whether his high school's distribution differs significantly from that of the publication Pasquale's statistics teacher tells him that hisinformation does not meet the conditions necessary for a goodnessof-fit test. Which condition has not been met?1. Data are collected using a random sample or randomized experimentIL n < 0.10NIII. All expected counts are greater than 5 4. What is the value of x in the equation 512x3 = 8?A 3/4 B 3 1/4C 4 D 1/4 Suppose that the Federal Reserve is conducting an expansionary monetary policy. It will _____ Treasury bills on the open market, so that the money supply will _____, interest rates will _____, planned investment spending will _____, and the AD curve will shift to the _____. sell; increase; rise; rise; left buy; increase; fall; rise; right sell; decrease; rise; fall; left buy; decrease; fall; fall; left