Which of the following is the correct factorization of the polynomial below?

p^3 - 125q^3

A. (p - 5q)(p^2 + 5pq + 25q^2)

B. (p - 25q)(p^2 + 25pq + 25q^2)

C. (p^2 + 10q)(p^3 + 25pq + 5q^2)

D. The polynomial is irreducible.

Answer:

If you're looking for the equation, it's:

[tex](2n+1)^3=8n^3+12n^2+6n+1=2(4n^3+6n^2+3n)+2=[/tex] an odd

I know because I got it right on acellus.

Answer:

the answer is B.(3,6)

because y>2

so,the answer is 3&6.

Answer:

60 degrees

Step-by-step explanation:

any closed shape has a sum of 360 degrees, now if you subtract 150 from 360 it gives you 210 minus 90 degrees, it would equal to 120. Now 120 divided by 2 since we still need to find the other two corners we haven't found, that would equal to 60 degrees.

Answer:

Step-by-step explanation:

hello :

the system is : x+y+z=-6.....(1)

                      x-y+3z=-18.....(2)

                   2x+2y+2z=-8.....(3)

use (3): 2(x+y+z) = - 8    so : x+y+z = -4

use (1) : x+y +z = -6          -6=-4 false

no solutions

We are converting 12 meters into centimeters.

A meter is a larger unit of messurment then centimeter. In fact, a meter is made up of many centimeters

How many centimeters are in a meter?

We can look at the word composition of the word centimeter to figure this out:

centimeter

centi = 100

There are 100 centimeters in 1 meter.

In this problem, we have 12 meters. That is twelve 100 cm or:

12 × 100 = 1,200

12 meters is the same as 1,200 centimeters

1 meter = 100 centimeter

So ,

12 m = 12 × 100 = 1,200 centimeter

Answer:

[tex]r^6[/tex]

Step-by-step explanation:

Hello!

Using the exponent rule [tex]\frac{a^b}{a^c} = a^{b-c}[/tex], we can simplify this expression.

Simplify:

The solution is [tex]r^6[/tex]

Answer:

(i) [tex]y = 2x(x-5)[/tex]

(ii)  zeros:  x = 0 and x = 5

axis of symmetry:  x = 2.5

(iii)  vertex:  (2.5, -12.5)

(iv) see attached

Step-by-step explanation:

Part (i)

Factor:  [tex]y=2x^2-10x[/tex]

Factor out the common term [tex]2x[/tex]:

[tex]\implies y=2x(x-5)[/tex]

Part (ii)

Zeros occur when [tex]y=0[/tex]

[tex]\implies 2x(x-5)=0[/tex]

Therefore:

[tex]\implies 2x=0 \implies x=0[/tex]

[tex]\implies (x-5)=0 \implies x=5[/tex]

So the zeros are x = 0 and x = 5

The axis of symmetry of a parabola is x = a where a is the midpoint of the zeros.

[tex]\textsf{midpoint of zeros}=\dfrac{0+5}{2}=2.5[/tex]

Therefore, the axis of symmetry is [tex]x=2.5[/tex]

Part (iii)

The axis of symmetry is the x-coordinate of the vertex. To find the y-coordinate of the vertex, substitute this into the given equation.

[tex]\implies 2(2.5)^2-10(2.5)=-12.5[/tex]

So the vertex is (2.5, -12.5)

Part (iv)

Plot the zeros and the vertex.

As the leading coefficient is positive, the parabola will open upwards, so the vertex is the minimum point.

Draw the axis of symmetry, then sketch the parabola, ensuring each side of the axis of symmetry is symmetrical.

*see attached*

Answer:

702 pounds

Step-by-step explanation:

9 * 78 = 702

Answer:

If Maria has 9 boxes that each weigh 78 pounds, in total the boxes would weigh 702 pounds.

Step-by-step explanation:

9 x 72 = 702 pounds

Your welcome! :)

Answer:

c. 15

Hope it helpz~

please mark me as brainliest

blue stars. let’s talk a bit about temperature. The color of a star is a function of its temperature. If a star looks red, that means its surface temperature is approximately 2,500 Kelvin. Just for comparison, our Sun, which actually looks white from space, measures about 6,000 Kelvin. The hotter the star, the further up the spectrum you go. The hottest stars are the blue stars. A star appears blue once its surface temperature gets above 10,000 Kelvin, or so, a star will appear blue to our eyes.

Answer:

i think the answer is 87.

Step-by-step explanation:

i think its 87.

Answer:

Integer

Step-by-step explanation:

Essentially Rational numbers are numbers that have decimals or fractions tied to them, negative or positive. EX: 3.66, 2 1/4.

Whole numbers are WHOLE numbers that are positive. They are to the right of zero always. EX: 1, 9, 100,258. There is no decimal or fraction tied to them. This also includes 0.

Integers are essentially a whole number that isn't a fraction. They contain all negative numbers too. EX: -1025, 56, -6.

Here is a better representation of that if you're a visual learner. Hope this helps!

[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

The required equation is :

[tex]\qquad \sf  \dashrightarrow \:y =a \cos(bx) + k[/tex]

Now, let's find the required values :

period (p) = 6

[distance between any successive Crest or trough]

a = - 4 (flipped)

b = 2π/p = 2π/6 = π/3

k = -2

Distance of starting position from origin = k

Now, plug in the values ~

[tex]\qquad \sf  \dashrightarrow \: - 4 \cos( \frac{\pi}{3} x) - 2[/tex]

There is not crest given so use distance between troughs

Period (T):-

Frequency:-

[tex]\\ \rm\dashrightarrow \dfrac{1}{T}[/tex]

[tex]\\ \rm\dashrightarrow \dfrac{1}{6}[/tex]

[tex]\\ \rm\dashrightarrow 0.17Hz[/tex]

Answer:

For every pound that the package weight increases, the price of sending it increases by $3.80

Step-by-step explanation:

Overnight from KC to Miami = $23.50 for anything less than a pound + $3.80 per additional pound.

This means that for every pound that the package weight increases, the price of sending it increases by $3.80.

y=1/2x

Hope it helps.

Do comment if you have any query.

Answer:

y=1/2x

Step-by-step explanation:

Answer:

(3a+3b+1)(2a+2b+3)

Step-by-step explanation:

This is the farthest they could be factored

#1

Let a+b=x

Put value

#2

Let x+1=y

Put value

Answer:

X can be any of those numbers depending on which equation it is in

Step-by-step explanation:

Answer:

hi the answer is true

Step-by-step explanation:

hope it helps

The triangle can be formed using the given line segments. Therefore, the given statement is true.

The triangle inequality theorem describes the relationship between the three sides of a triangle. According to this theorem, for any triangle, the sum of lengths of two sides is always greater than the third side.

Given that, line segments AC=9 units, BC=4 units and AB=11 units.

If a, b and c are the lengths of the sides of a triangle then

If a ≤ b ≤ c, then a + b > c.

9+4>11

13>11

Therefore, the given statement is true.

To learn more about the triangle inequality theorem visit:

https://brainly.com/question/1163433.

#SPJ7

Answer:

111

Step-by-step explanation:

divide 222 by 2 and you get your answer

Answer:

55.5

Step-by-step explanation:

since we don't know the length or width of any side, one length side will only be 1/4 of 222. And perimeter is all the sides added up. This rectangle will actually be a square.

222/4=55.5

12%= 30

-> 100%= 30÷12×100

-> 100%= 250

4% of 250

-> 4%=250÷100×4

-> 4%= 10

Answer:

This will be option D

Replace the k with -1/2 and f(x) with x^2

this will look like -1/2*x^2

plug this into a graphing website such as Desmos

Answer:

Step-by-step explanation:

To find the slope of the line, you have to use a slope formula.

Slope formula:

[tex]\Longrightarrow:\sf{\dfrac{y_2-y_1}{x_2-x_1} }[/tex]

⇒ y2=(-15)

⇒ y1=1

⇒ x2=1

⇒ x1=(-1)

Rewrite the whole problem down.

[tex]\Longrightarrow: \sf{\dfrac{-15-1}{1-\left(-1\right)}=\dfrac{-16}{2}=\boxed{\sf{-8}}[/tex]

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

Draw line a through points A and B. Draw line b through point C and parallel to line a. Since lines a and b are parallel, <)BAC = <)B'CA and <)ABC = <)BCA'. It is obvious that <)B'CA + <)ACB + <)BCA' = 180 degrees

Answer:

  38.0 m/s

Step-by-step explanation:

Units conversion can be done by multiplying by appropriate conversion factors. Each conversion factor has a value of 1: the numerator is equal to the denominator, but the units are different. The units are chosen so that cancelling unwanted units gives the set of units you want.

__

  [tex]\dfrac{85\text{ mi}}{1\text{ h}}\times\dfrac{1.61\text{ km}}{1\text{ mi}}\times\dfrac{1000\text{ m}}{1\text{ km}}\times\dfrac{1\text{ h}}{3600\text{ s}}=\dfrac{85\cdot1.61\cdot1000\text{ m}}{3600\text{ s}}\\\\\approx\boxed{38.0\text{ m/s}}[/tex]

Answer:

the only answer that makes sense would be the length

It's 3ft

Step-by-step explanation:

Volume = lxwxh

252 = 7 x 12 x?

= 84 x?

÷84

3. =?

3x12x7=252

Hope this helps!

y = -1.5(x) + 0.5

slope:

⇒ (y2-y1)/(x2-x1)

⇒ (5-(-1))/(-3-1)

⇒ 6/-4

⇒ -1.5

equation:

⇒ y -(-1) = -1.5(x-1)

⇒ y + 1 = -1.5(x) + 1.5

⇒ y = -1.5(x) + 0.5

Using the concepts of domain and range, it is found that:

In this graph, the points represented are given by: {-1, 2}, {2,0}, {3,-1} and {4,4}. Hence:

More can be learned about the concepts of domain and range at https://brainly.com/question/10891721