factor the polynomial 24x^3 - 78x^2 + 45x

Answers

Answer 1

Answer:

3x ( 4x-3 )( 2x - 5 )

Step-by-step explanation:

24x^3 - 78x^2 + 45x

factor out biggest common values

3x ( 8x^2 - 26x + 15 )

3x ( 4x-3 )( 2x - 5 )


Related Questions

13−4 / 27−24 its to short again hi

Answers

Answer:

-301/27

Step-by-step explanation:

help pleaseeeee im stuck

Answers

I think it’s C but if it’s wrong I’m sorry ☹️

If 70% of the members remembered the password but 21 members forgot, then how many members were there in all?
Please show work if you can
Thxs

Answers

Answer:

70 members

Step-by-step explanation:

Let's call the number of total members x. We know that 30% or  [tex]\frac{3}{10}[/tex] of the members forgot, so our equation looks like this:

[tex]\frac{3}{10}x = 21[/tex]

Then, we will multiply both sides by 10 to get rid of the fraction:

3x = 210

Finally, we will divide both sides by 3 to find out our variable, x:

x = 70

So, there are 70 members in total.

Hope this helped!

Thirty one divided by seven

Answers

Answer:

4.42857142857

Rounded:

4.4

A box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. Assume the plain donuts are identical, and the chocolate donuts are identical. How many visually distinct arrangements of the donuts are there?

Answers

If a  box of 6 donuts has 3 plain donuts, 2 chocolate donuts, and 1 blueberry donut. The number of  visually distinct arrangements of the donuts that are there is: 60.

How to find the  number of  visually distinct arrangements?

Using this formula to find the  number of  visually distinct arrangements of the donut that are there.

Number  visually distinct arrangements = Box of  donuts!/ Plain donuts! × Chocolate donuts! × Blueberry donut!

Let plug in the formula

Number  visually distinct arrangements = 6!/ 3! × 2! × 1!

Number  visually distinct arrangements = 720/ 6 ×2 × 1

Number  visually distinct arrangements = 720 /12

Number  visually distinct arrangements = 60

Therefore the number of Number  visually distinct arrangements  is 12.

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A cone has a diameter of 8 units and a helght of 8 units. Its radius is____ its volume is ____ A cylinder with the same height and radius as the cone will have a volume of _____ cubic units. If a sphere has the same radius as the cylinder, Its volume is ____ the volume of the cylinder​

Answers

Answer:

A cone has a diameter of 8 units and a height of 8 units. Its radius is 4units its volume is 134.04 cubic units. A cylinder with the same height and radius as the cone will have a volume of 402.12 cubic units. If a sphere has the same radius as the cylinder, Its volume is less than the volume of the cylinder​.

radius = diameter / 2 = 8/2 =4units

[tex]volume \ of \ cone = \pi r^2 \frac{h}{3}[/tex]    =134.04cubic units

[tex]volume \ of \ cylinder = \pi r^2h[/tex]  = 402.12 cubic units

[tex]volume \ of \ sphere = \frac{4}{3}\pi r^3[/tex] = 268.08 cubic units

A certain human red blood cell has a diameter of 0.000007 meters. Which expression represents this diameter, in meters, in scientific notation?
Group of answer choices

7×10−6

7×105

7×106

7×10−5

Answers

Answer:

7×10-6 is the answer I hope it helps

A bag contains:
1 red beads
2 yellow beads
2 green beads
1 blue bead

A bead is chosen at random.

What is the probability that it is green?

What is the probability that it is green or yellow?

Pls pls help!
I'll give you brainliest answer!
Thx!​

Answers

The probability to draw a green bead is 1/3 and the probability to draw a green or yellow bead is 2/3

It is given that the bag contains 1 red bead, 2 yellow beads, 2 green beads, and 1 blue bead.

Hence the total no. of beads in the bag = no. of red + yellow + green + blue beads

= 1 + 2 + 2 + 1 beads

= 6 beads.

Let the event to draw a green bead be A

Let the event to draw a yellow bead be B

Probability of any event = no. of outcomes favorable to that event/ total number of outcomes

Hence P(A) = no. of green beads/ total no. of beads

= 2/6

= 1/3

Hence the probability that a green bead is drawn is 1/3

P(B) = no. of yellow beads/ total no. of beads

2/6 = 1/3

We need to find P(A or B)

= P(A U B) = P(A) + P(B) - P(A ∩ B)

P(A ∩ B) = P(A and B)

Since no bead is of 2 colors, P(A ∩ B) = 0

Hence we get

P(A U B) = 1/3 + 1/3

= 2/3

Hence the probability to draw a green or yellow bead is 2/3

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Ver en español
On the coordinate plane, the segment from R(6,

16) to S(14,

1) forms one side of a rectangle. The rectangle has an area of 459 square units. Find the perimeter of the rectangle.
Write your answer as a whole number, decimal, or simplified radical. Do not round.
units

Answers

The perimeter of the rectangle, given the area and the segment from R ( 6, -16) to S (14, - 1 ) is 88 units

How to find the perimeter ?

To find the perimeter, first find the distance between  R ( 6, -16) to S (14, - 1 ) which will allow you to find the length of one side. This distance can be found by the formula :
= √((x2 – x1)² + (y2 – y1)²)

= √((14 – 6)² + (-1 – (-16))²)

= 17 units

This means that one side of the rectangle measures 17 units so the other side would be:

Area = Length x Width

459 = 17 x Width

Width = 459 / 17

Width = 27 units

The perimeter of the rectangle is:

= Length + Width + Length + Width

= 17 + 27 + 17 + 27

= 88 units

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Drag each equation to show if it could be a correct first step to solving the equation
3(6 + x) = 24.

Answers

Tell me what the answer

Answer:

Here you go

Step-by-step explanation:

I hope this helps :)

Find the missing side. Round to the nearest tenth.
X
55
18

Answers

Answer:

solution

90+55+×=180(sum of angle of triangle is 180)

or,145+x=180

or,x=180-145

therefore,x=35

18=0. 125. Which calculation is NOT a way to find 58?

CLEAR CHECK


A. 5÷8


B. 5⋅0. 125


C. 0. 5+0. 125


D. 1−0. 125

Answers

The correct option is D. 1 − 0. 125 is NOT  the correct way to find the value of fraction 5/8.

Explain the term fraction?a numerical expression in which the numerator and denominator are split. Both are integers in a simple fraction. A fraction appears in the numerator as well as denominator of a complex fraction. The numerator of a proper fraction is less than every denominator.

Consider the given options;

A. 5÷8

5÷8 = 5/8 (correct)

B. 5⋅0. 125

5*0.125 = 0.625

5*0.125 = 5/8 (correct)

C. 0. 5+0. 125

5+0. 125 = 0.625

5+0. 125 = 5/8 (correct)

D. 1−0. 125

1−0. 125 = 0.785

1−0. 125 = 7/8 (not correct)

Thus, option D is not the correct way to solve the equation.

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The correct question is attached.

need help in pre-algebra ​

Answers

answer:

a. 8 · 10^7 is 4000 times larger than 2 · 10^4

step-by-step explanation:

solve the actual expression firstwrite the expressions in standard form and compare them

8 · 10^7 (or 8 X 10000000) = 80000000

2 · 10^4 (or 4 X 10000) = 20000

now that you have them in standard form, divide them to compare

80000000 / 20000 = 4000

from this, we can tell that 8 · 10^7 is 4000 times larger than 2 · 10^4

What are the 14 types of angles?

Answers

Fourteen types of angles are Acute Angles, Obtuse Angles, Right Angles, Straight Angles, Reflex Angles, Positive Angles, Negative Angles, Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

There are mainly 5 types of angles based on their magnitude. They are Acute Angles, Obtuse Angles, Right Angles, Straight Angles and Reflex Angles.

Positive Angles and Negative Angles are the angles based on the direction of measurement or the direction of rotation.

When two angles are paired, then there exist different angles, such as Complementary angles, Supplementary angles, Linear Pair, Adjacent angles, Vertically Opposite angles,  Alternate interior angles and Alternate exterior angles.

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Which relationship has a zero slope?

A. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2.

B. A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 3, 1, negative 1, negative 3.

C. A coordinate plane with a straight line starting at (negative 5, negative 5) and passing through the origin, and ending at (5, 5)

D. A coordinate plane with a straight line starting iat (negative 2, 5) and passing the x-axis at (negative 2, 0), and ending at (negative 2, 5).

Answers

9514 1404 393

Answer:

  A.  A two column table with five rows. The first column, x, has the entries, negative 3, negative 1, 1, 3. The second column, y, has the entries, 2, 2, 2, 2

Step-by-step explanation:

The relationship that has constant y-values is the one with zero slope. That would be the first table.

Answer: A

Step-by-step explanation: He is correct

PLEASE NO LINKS OR I WILL REPORT YOUR ACCOUNT

Answers

Answer:   200.96 ft^2  (choice C)

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

Work Shown:

A = pi*r^2

A = 3.14*8^2

A = 200.96

Note that the radius r = 8 is half of the diameter d = 16. I'm using the approximation pi = 3.14, which means the area is approximate. To get a more accurate answer, use more decimal digits of pi. The units of the area are in square feet, which can be written as "sq ft" or as "ft^2".

Find the length of x. Assume that lines which appear to be tangent to the circle are tangent
A) 36
B) 42
C) 48
D) 54

Answers

Answer:

C

Step-by-step explanation:

Remark

The formula that relates tangents and secants using the information given is

The distance from the external point to the point of tangencyo^2 = The external point of secant to the circumfrance of the circle * the other intersect point of the secant.  

The algebra is much simpler.

y^2 = 27 ( 27 + x)

Givens

y = 45

27 is the distance from the external point to the circle

27 + x is the entire length of the secant.

Solution

45^2  = 27(27 + x)               Remove the brackets

2025 = 729 + 27x               Subtract 729 from both sides

2025 - 729 = 27x

1296 = 27x                           Divide by 27

1286/27 = x

x = 48

Santos walks 222 kilometers south and then a certain number of kilometers east. He ends 555 kilometers away from his starting position. How many kilometers east did Santos walk

Answers

Answer:

  4.6 km

Step-by-step explanation:

You want to know how many kilometers east Santos walked to end up 5 km from his starting position after walking 2 km south.

Distance

The distance Santos is from his starting position will be the hypotenuse of a right triangle with one leg 2 km. Using the Pythagorean theorem, we can find the length of the other leg.

  c² = a² + b²

  5² = 2² + b²

  21 = b²

  b = √21 ≈ 4.583

Santos walked about 4.6 km east.

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Each of 8 ladies randomly chooses a woolen overcoat from 14 different styles. What is the probability that at least 2 ladies choose the same type of overcoat?

choices
≈ 0.820
≈ 0.918
≈ 0.929
≈ 0.894

Answers

Answer: 0.894

Step-by-step explanation:

Answer:

                    ≈ 0.918

Step-by-step explanation:

Use the complement since the probability of at least 2 ladies choose the same type of overcoat is much more challenging than finding the probability that all the ladies choose a different overcoat.

P(at least 2 ladies choose the same type of overcoat) = 1 − P(all choose different)

Find the probability that they all choose a different type of overcoat.

Now use the complement to determine the probability that at least 2 ladies choose the same type of overcoat.

P(at least 2 ladies choose the same) =

1 − P(all choose different)  

≈ 1 − 0.0820  

≈ 0.918  

The probability that at least 2 ladies choose the same type of overcoat is approximately 0.918 or 91.8%.

Need help for this please, i have to pass my class

Answers

(3) I think I am not sure

Factoring can be used to solve ANY quadratic equation.
True or false

Answers

Answer: False, Quadratic can sometimes be solved by factoring. It can ALWAYS be solved using the quadratic formula.

Step-by-step explanation:

Hope this helps :)

Answer:

false

Step-by-step explanation:

I want the answer please

Answers

The prove of given limit lim θ → 0 ( sin θ / θ ) = 1 is shown in below.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

⇒ lim θ → 0 ( sin θ / θ ) = 1

Here, The form of given limit is 0/0, so we can apply the L - Hospital Rule.

⇒ lim θ → 0 ( sin θ / θ ) = 1

Take LHS;

⇒ lim θ → 0 ( d/dθ (sin θ)/ dθ/dθ )

⇒ lim θ → 0 ( cos θ / 1 )

⇒ ( cos 0 )

⇒ 1

⇒ RHS

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Kellie bought 8 towels and spent $39.60. Each towel costs the same amount.
Part A
Use the drop-down menus to create an equation that can be used to determine t, the
price, in dollars, of 1 towel.
t
+
00
39.60
Part B
What is the price, in dollars, of 1 towel?
Enter your answer in the box.
$

Answers

Answer:

fvg bvgcjvtfjocfrx

Step-by-step explanation:

kjn

jkm

'knlnkm

kl

j

kl;n

;kn

PLEASE PLEASE HELP I WILL MARK THE BRAINIEST (the little crown thingy)

Answers

Answer:  A

Step-by-step explanation:  They both go up but they have diffrent patterns

hopes this helps any

Answer:

A.

Step-by-step explanation:

the 'x' slot is going up two and the 'y' slot is going up one every change.

I really need this A circle with radius 16 cm has a segment with a central angle of 90 . What is the area of the segment?​

Answers

A= r2•a / 2
Central angle 90°
Radius 16 cm
Diameter 32cm
Sector Area 201 cm2
Arc Length 25.13cm
Chord Length 22.63cm


Hope this helps!!

26. Six oranges in a bag of 30 oranges are bad. Express the number of bad oranges as a fraction in its lowest terms. ​

Answers

Answer:

The fraction representing the number of bad oranges can be written as 6/30. This fraction can be simplified by dividing both the numerator and the denominator by 2, which gives us 3/15. This fraction is already in its lowest terms, so 3/15 is the final answer.

Step-by-step explanation:

1/5 is the answer in lowest terms.

To find a fraction in lowest terms you must find a number that both the numerator and denominator are divisible by. In this case the lowest number is 6.

Please mark brainliest I need three more!!!!!!!

c) Mr. Gurung had Rs 3300. He purchased 5 kg of rice at Rs 70 per kg, 2 packets of oil at Rs 125 per packet and he gave Rs 2500 to his wife. If he divided the remaining sum between his son and daughter equally, find the share of each of them. ​

Answers

Answer:

Intial money=Rs 3300

final money=3300-(70×5)-(2×125)-2500

=3300-350-250-2500

=3300-3100=RS 200

Now,

share of each of them= 200/2=Rs100

*mark me brainliest

How many types of angle are there in class 6?

Answers

In class 6, students typically learn about acute angles, right angles, and obtuse angles as the main types of angles. So there are three types of angles.

Acute angles, Right angles, and Obtuse angles are the basic types of angles and they are based on the degree measure. Acute angles are less than 90 degrees, right angles are exactly 90 degrees and obtuse angles are greater than 90 degrees but less than 180 degrees.

It's worth noting that the classification of angles in class 6 may vary depending on the curriculum and the country you are in. This is a general description and your school or teacher may have different classification or criteria.

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Is √12•√ 12 rational or Irrational?

Answers

Answer:

It is a rational number

Step-by-step explanation:

[tex]\sqrt{12} *\sqrt{12} =12[/tex]

[tex]\sqrt{12}[/tex] by itself is 3.46410 making it irrational

if x+3=9 whats the answer:)
enjoy

Answers

Answer:

x=6

Step-by-step explanation:

then x=6 because replacing x 6+3=9

Other Questions
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