State the common factor of the terms in the polynomial 5x^2 + 30x^2 - 10x. Then factor the polynomial

Answers

Answer 1

Answer:

The common factor is 5x.

The factored polynomial is: [tex]5x(7x - 2)[/tex]

Step-by-step explanation:

Factor of the numbers:

The common factor of the numbers 5, 30 and 10 is 5, as it is the greater common divisor of them, as found below:

5 - 30 - 10|5

1 - 6 - 2

Factor of the exponents:

Between [tex]x^2, x^2[/tex] and [tex]x[/tex], the common factor is the x with the lowest exponent. So x

Common factor

Number multiplied by exponents, so 5x.

Factoring the polynomial:

[tex]5x^2 + 30x^2 - 10x = 5x(\frac{5x^2}{5x} + \frac{30x^2}{5x} - \frac{10x}{5x}) = 5x(x + 6x - 2) = 5x(7x - 2)[/tex]

The factored polynomial is: [tex]5x(7x - 2)[/tex]


Related Questions

Write the area as a product:
3x^2 - 7x - 6

Answers

Answer:

product is a ⋅ c = 3 ⋅ − 6 = − 18 and whose sum is b = − 7 .

Step-by-step explanation:

Factor

− 7 out of − 7 x .

3 x 2 − 7 ( x ) − 6

Rewrite

−7 as 2 plus −9

3 x 2 + (2−9) x −6

Apply the distributive property.

3 x 2 + 2 x − 9 x − 6

Look at the three dimensional solid below

Answers

Answer:

A.

Step-by-step explanation:

Answer: A

Step-by-step explanation:

find the slope between points (3, 1) and 3, -2)​

Answers

Answer:

3

Step-by-step explanation:

What is Dangerous on living for 7 days on a can of sardines Questions. . . .

Answers

Answer:

YOU MIGHT FALL OFF

Step-by-step explanation:

 that's the answer

-kenma #3

The area values of the circles given in the attachment are :

28.26 cm²50.24 in²314 12.56 cm²254.34 ft²4.52 km²7850 in²379.94 m²19.63 cm²200. 96 ft²1256 m²78.5 cm²7.07 m²113.04 in²200. 96ft²38.47 cm²0.28 km²3.14 cm²

Area of a circle =

[tex] {\pi} {r}^{2} [/tex]

Where, r = Radius

[tex] \frac{\pi {d}^{2} }{4} [/tex]

d = diameter

[tex]\pi = 3.14[/tex]

1.)

r = 3cm

Area = 3.14 × 3² = 28.26 cm²

2.)

r = 4 in

Area = 3.14 × 4² = 50.24 in²

3.)

r = 10 m

Area = 3.14 × 10² = 314 m²

4.)

r = 2cm

Area = 3.14 × 2² = 12.56 cm²

5.)

r = 9 ft

Area = 3.14 × 9² = 254.34 ft²

6.)

r = 1.2 km

Area = 3.14 × 1.2² = 4.52 km²

7.)

r = 50 in

Area = 3.14 × 50² = 7850 in²

8.)

r = 11 m

Area = 3.14 × 11² = 379.94 m²

9.)

r = 2.5 cm

Area = 3.14 × 2.5² = 19.63 cm²

10.)

d = 16 ft

Area = (3.14 × 16²) ÷ 4 = 200. 96ft²

11.)

d = 40 m

Area = (3.14 × 40²) ÷ 4 = 1256 m²

12.)

d = 10 cm

Area = (3.14 × 10²) ÷ 4 = 78.5 cm²

13.)

d = 3 m

Area = (3.14 × 3²) ÷ 4 = 7.07 m²

14.)

d = 12 in

Area = (3.14 × 12²) ÷ 4 = 113.04 in²

15.)

d = 16 ft

Area = (3.14 × 16²) ÷ 4 = 200. 96ft²

16.)

d = 7cm

Area = (3.14 × 7²) ÷ 4 = 38.47 cm²

17.)

d = 0.6 km

Area = (3.14 × 0.6²) ÷ 4 = 0.28 km²

18.)

d = 2 cm

Area = (3.14 × 2²) ÷ 4 = 3.14 cm²

https://brainly.com/question/11952845?referrer=searchResults

HELP ITS DUE AT 11 AND IT 10:20

Answers

Answer and Step-by-step explanation:

The answer is M, where for every 3 oxygen atoms, there are 3 oxygen atoms.

In a chemical reaction, there needs to be the same amount of particles/atoms on the reactants side and on the products side. So, since this answers says that for every 3 oxygen atoms in the reactants, there are 3 oxygen atoms in the products, the answer is correct.

#teamtrees #PAW (Plant And Water)

Does this scatter plot show a positive trend a negative trend or no trend​

Answers

I believe it is no trend, sorry if im wrong

f(x)=x^2 g(x)=x-5
(f of g)(-2)=​

Answers

Step-by-step explanation:

search u po sa math papa dali LNG yan

PLEASE AMSWER QUESTOON 1 AND 2 PLEASE ITS EASY PLES I NEED IT PLS

Answers

Answer:

1. 27 bouquets

2. a, d, e

Step-by-step explanation:

1. Rate of increase is 1 bouquet:9 flowers (found by dividing 3 and 27 by GCF which is 3) so if she has 243 flowers you divide that by 9 to get 27 bouquets.

THE COFFICENT OF y in term -y /3 is

Answers

Answer:

-1/3

Step-by-step explanation:

hope it helps thanks

Answer:

-1/3

Step-by-step explanation:

A rain barrel has a diameter of 18 inches and a height of 3 feet. Find the total surface area to the nearest hundredth

Answers

Answer:

8.25 feet approx

Step-by-step explanation:

Given data

Diameter= 18inches to feet= 1.5 feet

radius= 1.5/2= 0.75 feet

Height= 3 feet

The expression for the total surface area of the barrel(cylinder) is given as

TSA= 2πrh+2πr^2

substitute

TSA= 2*3.142*0.75+ 2*3.142*(0.75)^2

TSA= 4.713+ 6.284*0.5625

TSA= 4.713+ 3.53475

TSA= 8.25 feet

Hence the TSA is 8.25 feet approx

Help me plsss

And show identity. Thank you:)

Answers

Answer:

see the formula in book

Step-by-step explanation:

change the first 2 brackets into cos sin like that

then after,change both into another formula

sin theta plus cos theta will come ans

how many inches are in 3 yards​

Answers

Answer:

108

Step-by-step explanation:

36 inches in a yard

12 inches in 1 foot, 3 feet in 1 yard.

12 * 3 = 36, 36 * 3 = 108

108 inches in 3 yards

Hope this helps!

3. What is true about the graph of a system of equations that has infinitely many solutions? A. The lines will have the same slope but different y-intercepts. B. The lines will have the same slope and the same y-intercepts. C. The lines will have different slopes and different y-intercepts. D. The lines will have different slopes but the same y-intercepts.​

Answers

Answer:

B

Step-by-step explanation: for infinitely many solutions the two lines must lie directly on top of one another- so same slope and same y-intercept

The lines in the graph of a system of equations that has infinitely many solutions will have The lines will have the same slope and the same y-intercepts.

What is a slope?

A slope is a ratio that describes the steepness and the direction of a line.

What is the y-intercept?

The y-intercept is the point at which a line touches the y-axis. This means that x=0.

A system of equations will have infinitely many solutions when they are the same line or when the two lines coincide on every point that makes up the line. Two lines are the same when the slope and the y-intercept of the lines are also the same.

Thus we can say that the lines in the graph of a system of equations that has infinitely many solutions will have the same slope and the same y-intercepts. The correct answer is option B.

Learn more about slopes and y-intercepts here-https://brainly.com/question/25722412

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plz help if you do then GOD BLESS UR POOR SOAL

Answers

Answer:

hi

Step-by-step explanation:

a NYC street vendor spends $75 a day on supplies it cost the vendor $0.50 to make a pretzel the vendor sells each 3 dollars ​

Answers

Answer:

very unclear picture, and unclear question. is that really how it's worded?

Step-by-step explanation:

The box plot represents the amount of time 15 pet owners spend exercising their pets each day.

Box plot:

0

15

30

45

60

75

90

105

120

True or False

The range is 105 minutes

Answers

Right around 75 I would believe

What is the perimeter of a rectangle with a length of
9
x

4
and a width of
5
x
+
2
?

Answers

Answer:

6

Step-by-step explanation:

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

What is the perimeter of the rectangle?

Let W be the rectangle's width and L its length. The perimeter of the rectangle will be defined as the total length of all of its sides. So the rectangle's perimeter will be given as,

Perimeter of the rectangle = 2(L + W) units

The dimension of the rectangle is given as,

L = 9x - 4
W = 5x + 2

Then the perimeter of the rectangle is given as,

P = 2(L + W)

P = 2(9x - 4 + 5x + 2)

P = 2(14x - 2)

P = 18x - 4

The perimeter of a rectangle with a length of 9x - 4 and a width of (5x + 2) will be 18x - 4.

More about the perimeter of the rectangle link is given below.

https://brainly.com/question/15287805

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Se requiere saber la elevación x los 20.00 m de longitud , al construir una carretera , sabiendo que pendiente es de 5 %

Answers

Answer:

La elevación de la carretera es de aproximadamente 0.999 metros.

Step-by-step explanation:

Cuando se dice que la pendiente es de 5 %, se quiere decir que la tangente del ángulo de elevación de la carretera es de 0.05. Trigonométricamente hablando, podemos calcular el ángulo de la pendiente como sigue:

[tex]\theta = \tan^{-1} 0.05[/tex]

[tex]\theta \approx 2.862^{\circ}[/tex]

La elevación de la carretera se determina mediante la función seno:

[tex]\sin \theta = \frac{h}{l}[/tex] (1)

Donde:

[tex]h[/tex] - Elevación de la carretera, medida en metros.

[tex]l[/tex] - Longitud de la carretera, medida en metros.

Si sabemos que [tex]l = 20\,m[/tex] y [tex]\theta \approx 2.862^{\circ}[/tex], entonces la elevación de la carretera es:

[tex]h = l\cdot \sin \theta[/tex]

[tex]h \approx 0.999\,m[/tex]

La elevación de la carretera es de aproximadamente 0.999 metros.

Considerando la regla de tres, la elevación de la carretera es de 1 metro.

Regla de tres

La regla de tres es una forma de resolver problemas de proporcionalidad entre tres valores conocidos y un valor desconocido, estableciendo una relación de proporcionalidad entre todos ellos.

Es decir, lo que se pretende con ella es encontrar el cuarto término de una proporción conociendo los otros tres.

Si la relación entre las magnitudes es directa, es decir, cuando una magnitud aumenta, la otra también (o cuando una magnitud disminuye, la otra también), se debe aplicar la regla de tres directa.

Para resolver una regla de tres directa se debe seguir la siguiente fórmula, siendo a, b y c datos conocidos yx la variable a calcular:

a ⇒ b

c ⇒ x

Por lo tanto: [tex]x=\frac{cxb}{a}[/tex]

Elevación

Una pendiente de 5% indica que por cada 100 m de longitud hay 5 m de pendiente.

Entonces podes aplicar la siguiente regla de tres: si por cada 100 m de longitud hay 5 m de pendiente o elevación, por 20 metros de longitud ¿cuál será la pendiente?

[tex]elevacion=\frac{20 metrosx5 metros}{100 metros}[/tex]

elevación= 1 metro

La elevación de la carretera es de 1 metro.

Aprenda más sobre la regla de tres:

https://brainly.com/question/23368324

https://brainly.com/question/18913787

https://brainly.com/question/24814906

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Isabell watch the movie that was four hours long. She stood up every 1/4 hours to stretch your legs. How many times it Isabell stand up during the movie?

Answers

Answer:

16

Step-by-step explanation:

(×-5)²
ayudenme a resolver estooo:((​

Answers

It might be X^2-10x+25

Seiko takes pottery classes at two different studios. Is there a number of hours for which Seiko’s cost is the same at both studios?

Answers

I hope this helps a little bit.

Mrs. Warren has b boxes of Girl Scout cookies that
she wants to distribute to the members of her troop. If
she gives each girl 4 boxes, she will have 11 boxes left
over. If she wanted to give each student 5 boxes, she
would need an additional 12 boxes. How many girls
are in Mrs. Warren's Girl Scout troop?
A) 12
B) 23
C) 27
D) 32

Answers

Answer:

B) 23

Step-by-step explanation:

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop.

Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given; Mrs. Warren has b boxes of Girl Scout cookies that she wants to distribute to the members of her troop.

If she gives each girl 4 boxes, she will have 11 boxes left over then,

23 girls x 4 boxes each = 92 boxes

92 + 11 extra = 103

If she wanted to give each student 5 boxes, she would need an additional 12 boxes then,

23 girls x 5 boxes each = 115 boxes

115 - 12 = 103

Hence, Mrs. Warren has 103 boxes and 23 girls in her Girl Scout troop. so option B is correct.

Learn more about the unitary method;

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The diameter of a circle is 7 ft. Find its area to the nearest tenth.

Answers

Answer:

38.5ft²

Step-by-step explanation:

we know the formula for Area is

A=pi*r²

A=38.5

find the smallest natural number by which 1008 should be multiplied to make it a perfect square​

Answers

Answer:

7

Step-by-step explanation:

Therefore 1008 must be multiplied by 7 to make it a perfect square.

A bag contains 10 red marbles. The ratio of red marbles to blue marbles is 5 to 1. Find the number of blue marbles in the bag.

Answers

Answer: there are 2 blue marbles

Step-by-step explanation:

10 / 2 = 5

If there are 5 to 1 then 5 + 5 = 10

So 1 + 1 = 2

(Sorry if that didn’t make much sense)

I need help ASAP please
I will give thanks with Brainlist for correct ans.

Answers

Answer:

rotations, translations, and reflections will not have an effect on a triangles size or shape. They just move it, rotate it, or mirror it.

Only a dilation will change a triangles size. Dilations scale a triangle up or down which change the triangles segment lengths but does not change it's angle sizes.

PLZ PLZ PLZ Solve this

Answers

45/24, 3/8, 18/110 :)
....................

Fill in the blanks. (With picture) 15 pts

(Simplify your answers. Use integers or fractions for any numbers in the expressions.

Answers

Given:

The expression is:

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\_\_\_+\dfrac{1}{19}n\right)+\left(-8+\_\_\_\right)[/tex]

                                          [tex]=\_\_\_n+\_\_\_[/tex]

To find:

The missing values.

Solution:

We have,

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)[/tex]

It can be written as

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11}{19}n+\dfrac{1}{19}n\right)+\left(-8+10\right)[/tex]

So, the values for the first two boxes are [tex]\dfrac{11}{19}n[/tex] and 10 respectively.

On simplification, we get

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\left(\dfrac{11+1}{19}n\right)+\left(2\right)[/tex]

[tex]\left(\dfrac{11}{19}n-8\right)+\left(\dfrac{1}{19}n+10\right)=\dfrac{12}{19}n+2[/tex]

So, the values for third and fourth boxes are [tex]\dfrac{12}{19}[/tex] and 2 respectively.

,mood swings.......................................................................

Answers

Answer:

Brand A i think

Step-by-step explanation:

Answer:B

Step-by-step explanation:

A gym charges an initial fee plus $25 per month. John paid $200 for six months. Assume the relationship is linear.

a.What is the rate of change and what does it mean in context to the situation?
b. What is the initial value and what does it mean and context to the situation?

i will give brainliest!!!!!

Answers

Step-by-step explanation:

a. The rate of change is $33.33 per month

200/6 = approximately $33.33 per month

This means that in addition to the initial fee, Josh has to pay $33.33 per month for the gym membership.

b. The initial value is $25. This is a constant value and a one time fee to open and attain a gym membership.

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