Select the correct answer. What is the completely factored form of this polynomial? 5x4 + 20x3 − 105x2 A. 5x3(x + 3)(x − 7) B. 5x2(x − 3)(x + 7) C. 5x3(x − 3)(x + 7) D. 5x2(x + 3)(x − 7)

Answers

Answer 1

Answer:

B.5: 5^2(-3)(+7)

Step-by-step explanation:

1. 5 is the HCF of the three numbers, so it goes outside the brackets. 5(^4+4^3−21^2).

2. ^2 is also a factor, so now its 5^2(^2+4-21)

3. Factor by Grouping 5^2(^2−3+7−21)

4. Factor by Grouping 5^2((−3)+7(−3))

5. Factor by Grouping 5^2(−3)(+7)

Thats your final answer.


Related Questions

Write an equation
in slope y-intercept form A(2,6),m=0

Answers

Solve for b:

y = 0x + b

6 = 0 + b

b = 6

The answer is y = 0x + 6

Which figures are polygons?​

Answers

Answer: A,C,D

Step-by-step explanation:

Answer:

pretty sure it's a, c, and d

Step-by-step explanation:

polygons have straight sides, not curved. it's a 2d figure, and it is enclosed. b doesn't fit the criteria of that because of the fact that the shape is a bit curved, as the other options do fit that criteria.

Convertir 675 Faren a Kelvin (Con ecuaciones porfavor)

Answers

Answer:

(675°F − 32) × 5/9 + 273.15 = 630.372K

Hope it's right if not so sorry :)

Compara los siguientes pares de numeros enteros y representalos en la recta numerica A) +13 y-2 B) -5 y -7 C) +4 y +1 D) -5 y 0

Answers

Answer:

La única comparación que podemos hacer entre un par de números A y B, es la diferencia entre ellos, lo cual nos dice cuál es la distancia entre esos números en la recta numérica.

Es importante recordar la regla de los signos:

(+)*(+) = (+)

(+)*(-) = (-)

(-)*(+) = (-)

(-)*(-) = (+)

A)

+13 y -2

La difencia será:

13 - (-2) = 13 + 2 = 15

Para graficarlos en la recta numérica, recordar que los números negativos van el lado izquierdo, en la imagen de abajo, este par está representado con los puntos A y A.

B) -5 y -7

Aqui la diferencia es:

-5 - (-7) = -5 + 7 = 2

Es decir, hay dos unidades de distancia entre estos números.

En la recta estan representados con B y B'

C) +4 y +1

La diferencia es:

4 - 1 = 3

es decir, hay 3 unidades de distancia entre esos números

En la recta estan representados con C y C'

D) -5 y 0

La diferencia es:

0 - (-5) = 0 + 5 = 5

Es decir, hay 5 unidades de distancia entre esos numeros.

En la recta estan representados con D y D'

Ahora que sabemos la distancia entre cada par, tambien podemos hablar de que pares son mas cercanos entre ellos y ordenarlos.

De mas cercanos a más alejados, el orden es:

B, C, D, A.

Not sure how to do this! I’m supposed to find the area of each shape, but the slits in the shapes are confusing me and I’m not too sure how to do these problems!

Answers

sorry i don't know answe're of this question

plssssssss helpppppppppppp i want it now pls​

Answers

3/5kg + 760g

3/5kg = 3/5×1000

= 600g

Now

600g + 760g = 1360g

Or 1.36kg

Answered by Gauthmath must click thanks and mark brainliest

600g is the correct answer. u welcome

can you please help me with this.

Answers

Answer:

Step-by-step explanation:

The equation for an arithmetic sequence is

[tex]a_n=a_1+d(n-1)[/tex]  where n is the position of the number in the sequence, a1 is the first number in the sequence, and d is the difference between the numbers in the sequence.

Our first number is 2, so a1 = 2; to get from 2 to 5 we add 3, to get from 5 to 8 we add 3. That means that d = 3. Filling in the standard form of the equation:

[tex]a_n=2+3(n-1)[/tex] which simplifies to

[tex]a_n=2+3n-3[/tex] and a bit more to

[tex]a_n=3n-1[/tex] (which should tell you that arithmetic sequences are lines!)

Finding the 13th number simply requires that we replace n with 13 and solve:

[tex]a_{13}=3(13)-1[/tex] so

[tex]a_{13}=38[/tex]

Answer:

38

Step-by-step explanation:

This isn't the most efficient way but it's the best I can do.

2, 5, 8, 11....

The pattern is that we add 3 every time.

2, 5, 8, 11, 14, 17, 20, 23, 26, 29, 32, 35, 38,

1 , 2, 3, 4, 5,  6,   7,    8,    9,   10,  11,   12,  13

We can see that 38 is the 13th term of the sequence.

A woman making $32,000
a year receives a cost-of-living increase that raises her salary to $32,768
per year. Find the percent of increase in her yearly salary.

Answers

Percentage increase= $768÷32000=0.024

=0.024×100=2.4%

The outer radius of a cylindrical metal tube is R and t is the thickness of the metal. a Show that the volume, V. of metal in a length.7 units, of the tube is given by V. = m(2R - 0). b Hence calculate V when R = 7.5.1 = 1 and l= 20​

Answers

Complete question is;

The outer radius of a cylindrical metal tube is R and t is the thickness of the metal.

A) Show that the volume, V, of metal in a length, l units, of the tube is given by V = πlt(2R - t)

B) Hence calculate V when R = 7.5. t = 1 and L = 20

Answer:

A)V = πlt(2R - t)

B)V = 879.65

Step-by-step explanation:

A) Formula for volume of a hollow cylinder is; V = π(R² - r²)h

Where;

R is outer radius

r is inner radius

h is height/length of tube

Now, we are told thickness is t.

Thus; R - r = t

Also, h = l

Thus;

V = π(R² - r²)h

Let's factorize this to get;

V = π((R + r)(R - r))l

V = π((R + r))lt

Since R - r = t

Then, r = R - t

Thus;

V = π(R + R - t)lt

V = πlt(2R - t)

B) when R = 7.5, t = 1 and l= 20;

V = ​πlt(2R - t)

V = ​π × 20 × 1(2(7.5) - 1)

V = 879.65

The graph of h(x) = (x - 3)2 is a translation of the
graph of f(x) ….. blank
by
…. Blank units.

Answers

Answer:

right by 3 I think

Step-by-step explanation:

Answer: Right by 3 Units

Step-by-step explanation:

Right on edge 2021

IF a and bare roots of 3x² - 6x + 2=0 ,then find. a, a-b​

Answers

Answer:

a is 1.58 and b is 0.42

Step-by-step explanation:

[tex]{ \sf{3 {x}^{2} - 6x + 2 = 0 }} \\ { \sf{x = \frac{ - b± \sqrt{ {b}^{2} - 4ac} }{2a} }} \\ \\ { \sf{x = \frac{ - ( - 6)± \sqrt{ {( - 6)}^{2} - (4 \times 3 \times 2) } }{(2 \times 3)} }} \\ \\ { \sf{x = \frac{6± \sqrt{12} }{6} }} \\ \\ { \sf{x = 1.58 \: and \: 0.42}}[/tex]

MY LAST QUESTION PLEASE HELP
Given the special right triangle below, what is the value of the hypotenuse?
30°
60°
6
A
6
B
673
С
123
D
12

Answers

Answer:

12

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 60 = 6/hyp

hyp = 6 / cos 60

hyp = 6 / (1/2)

htp = 12

Help me pleaseee i could really use it

Answers

Answer:

20 and 42

Step-by-step explanation:

Let the greater number be x and the smaller number be y.

3(x +y)= 186

x +y= 186 ÷3

x +y= 62 -----(1)

x -y= 22

x= y +22 -----(2)

Substitute (2) into (1):

y +22 +y= 62

2y= 62 -22 (-22 on both sides)

2y= 40

y= 40 ÷2

y= 20

Substitute y= 20 into (2):

x= 20 +22

x= 44

Thus, the two numbers are 20 and 42.

This is a scale drawing of a house where 1 centimeter represents 0.6 meters. What is the height of the house at its highest point? Round to one decimal point, if necessary.

Answers

Answer:

Height of the house = 3 meter (Approx.)

Step-by-step explanation:

Given:

Scale model;

1 centimeter = 0.6 meter

According to graph

Height of cube = 5 cube = 5 centimeter

Find:

Height of the house

Computation:

Height of the house = height of the house in scale model x Scale model

Height of the house = 5 x 0.6

Height of the house = 3

Height of the house = 3 meter (Approx.)

PLS HELP MEE

1st equation: a^2 + b^2 = c^2
2nd equation: a^2 + b^2 = n^2

Since the equations for both triangles have a^2 + b^2, you can think of the two equations for c^2 and n^2 as a system of equations. Substitute what a^2 + b^2 equals in the first equation for a^2 + b^2 in the second equation. After you substitute, what equation do
you get?

Answers

Answer:

c² = n²

Step-by-step explanation:

Given the 2 equations

a² + b² = c² → (1)

a² + b² = n² → (2)

Substitute a² + b² = c² into (2)

c² = n²

Given that 3=a+r/a-r,make r the subject of the formula?​

Answers

i- dont know...sorry

What is the value of x
(X+40) (3x)
A. 20
B. 35
C. 60
D. 70

Answers

Answer: A. 20 is the answer.

Step-by-step explanation:

x+40 = 3x

or, 40 = 3x-x

or, 2x = 40

or, x = 40/2

so, x = 20

Which functions have a maximum value greater than the maximum of the function g(x) = -(x + 3)2 - 4?

Answers

Answer:

max: -4

Step-by-step explanation:

(x+3)^2 》0 mọi x

<=> -(x+3)^2 《0

<=> -(x+3)^2 -4 《 -4

Maya is learning to drive, so this weekend she practiced driving 1/2 of a mile with her mother and another 3/4 of a mile with her father. How far did Maya drive in all?

Answers

Step-by-step explanation:

1/2 + 3/4

= 2/4 + 3/4

= 5/4

= 1 and 1/4 miles

can someone please help me with this math thing, i'm being timed and i don't know what else i can do, if someone wants to help just do the Nick one the graph and the Sammy and Mariam one i’ll try to do by myself but please help me

Answers

Answer:

Step-by-step explanation:

a. amt. of weeks and hours worked

HELP PLEASE

A tuning fork with a period of 1.95 x 10-3 is struck at the same time as a guitar
string. If 24 beats are heard in 6.0 s, find the possible frequency or frequencies of the guitar string.

Answers

Answer:

The possible approximate frequencies of the guitar string are 516.82 Hz and 508.82 Hz

Step-by-step explanation:

The given period of the tuning fork, T₁ = 1.95 × 10⁻³ s

The number of beats in 6.0 s = 24 beats

Therefore, the beat frequency, [tex]f_{beat}[/tex] = 4 beats per second = 4 Hz

Let f₁ represent the frequency of the tuning fork, and let f₂ represent the frequency of the guitar string, we have;

f₁ = 1/T₁ = 1/(1.95 × 10⁻³) ≈ 512.82 Hz

We have;

[tex]f_{beat} = \left | f_2 - f_1 \right |[/tex]

[tex]\pm f_{beat} = f_2 - f_1[/tex]

Therefore, we get;

[tex]4 \, Hz= \left | f_2 - 512.82 \, Hz \right |[/tex]

f₂ - 512.82 = ± 4

∴ f₂ = 512.82 ± 4

The possible frequencies of the guitar string,  f₂ ≈ 516.82 Hz or f₂ ≈ 508.82 Hz

In a right triangle ∠A = 32° with an adjacent side of 44 what is the length of the opposite side, x?

Answers

Answer: About 27.49

Step-by-step explanation:

You use the laws of tangent within a triangle to find x:

[tex]tan(32)=\frac{opposite}{adjacent}= \frac{x}{44}\\ \\x=44*tan(32)=27.49425...[/tex]

what is the answer to
(35+5)[16+(12÷ 4)]

Answers

12÷4=3| |3+16=19| |35+5=40| 40+19=59|
|if I’m correct the answer to the equation should be 59 <3

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

760

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the answer...}}\\\\(35+5)[16+(12\div 4)]\\------------------\\\text{Follow \textbf{PEMDAS}}\\\\\rightarrow 35+ 5 = 40\\\\40[16+(12\div 4)]\\\\\rightarrow 12\div4 = 3\\\\\rightarrow 16 + 3 = 19\\\\40(19)\\\\\rightarrow 40 * 19\\\\\boxed{760}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

10 • 4/10y = -28 • 10

Answers

Answer:

y=-70

Step-by-step explanation:

10.4/10y=-28.10

4y=-280

y=-70

Practice multiplying numbers by powers of 10.

Answers

Answer:

Multiply (400 + 20 + 3) x 10000

Add 4 zeros to the end of 423

Step-by-step explanation:

423 x 10,000 = Adding the amount of zero’s in 10000 to 423



i’m using this app so much but i really do appreciate the help pleasee no wrong answers

Answers

Answer:

C is correct

Step-by-step explanation:

a is wrong because: 1*-1*-1*-1 =1

b) 1*1*1*1 =1

d) 1*-1*1*1 =1

only c 1*-1*-1*1 =-1 at the end of polynomial

PLEASE HALPPP

Jason left a bin outside in his garden to collect rainwater. He notices that 1/5 gallon of water fills 2/3 of the bin. Write and solve an equation to find the amount of water that will fill the entire bin. Show your work. Explain your answer in words.

(I need sleep and will give brainiest or whatever TvT)​

Answers

Step-by-step explanation:

[tex]\huge\mathfrak\red{Answer}[/tex]

We can set this up as a proportion

(1/5) gallon / (2/3) bin = x gallons / 1 bin cross-multiply

1/5 = (2/3)x multiply both sides by the reciprocal of 2/3 = 3/2

(3/2) (1/5) = x = 3/10 gallons fills the entire bin

Look at it this way each 1/10 of a gallon fills 1/3 of the bin.

so 3(1/10) gallons fills 3(1/3)bins..

or

3/10 galons fills a whole bin.

Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?

Answers

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

-3*-1 = 3

-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

0 = -( x-3)(x-1)

0 = x-3   0 = x-1

x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

(3+1)/2 = 4/2 =2

To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

\frac{2x^2 + 3x}{x^2 + 1 } =2

Answers

Answer:

3x = 2

x = 2/3

[tex]\frac{2x^2 + 3x}{x^2 + 1 } =2[/tex]

Step-by-step explanation:

Please help geometry

Answers

Answer:

1187.52

Step-by-step explanation:

2 π r h + 2 π r² = 2·π·7·20+2·π·7² ≈ 1187.52202

Here you go i hope this will help you :)

Other Questions
A telephone call arrived at a switchboard at random within a one-minute interval. The switch board was fully busy for 10 seconds into this one-minute period. What is the probability that the call arrived when the switchboard was not fully busy The Cinci Company issues $100,000, 10% bonds at 103 on October 1, 2020. The bonds aredated January 1, 2020 and mature eight years from that date. Straight-line amortization is used.Interest is paid annually each December 31. Compute the bond carrying value as of December31, 2024. You are to calculate the property tax for tax payers. You will ask the county tax clerk if they want to run the program and initiate a loop that runs the program if the county clerk inputs a 1. When the county clerk chooses to run the program, you will ask the county tax clerk to input the lot number and assessed value of the house. Each property is taxed at a rate of 5% of the assessed value. The program will end when the county clerk enters a value of 0 when prompted by your program to either run the program again or quit. Use a while loop to validate the lot number to make sure that it falls between the range of 0 and 999999. When the clerk enters an invalid lot number, display a message that echoes the invalid number entered, and a reminder of the value range of numbers for a lot number. You are to print the lot number, assessed value, and property tax. After the program ends, display the total assessed values, and property taxes calculated, and average property tax For the function determine: In the figure, p is parallel to s. Trasnversals t and w intersect at point L.StatementWhat is the missing reason in step 3?a.) Alternate interior angles along parallel lines are congruentb.) Alternate exterior angles along parallel lines are congruentc.) Corresponding angles along parallel lines are congruentd.) Vertical angles are congruent 1. What do you know about True Prayer?2. Write your experience about True Prayer in 3 Paragraphs Why Is Nepal divided into 77districts What does a pharmacist do? What is the figure of speech used in the following sentence? War is peace.RepetitionParadoxHyperboleAssonance She said to him, "wait a minute" into indirect speech. Please help asap!!!!! At Sarah's cafe, customers can choose one of the following entrees: burrito, pasta, soup or taco. They can also order a side dish. They have a choice of french fries, salad, potato salad or coleslaw. Finally customers get to choose one of the following drinks and a choice of soda, coffee, water, milk or juice.For dinner, the cafe offers diners a special, customers can order 2 sides with their entree. In how many different ways can dinner be ordered? Sofia orders a spare part for her custom-built bike from Oregon Technologies Inc. The company makes use of a computer-aided design model to produce the spare part at its location closest to Sofia's home. In this case, which of the following technologies is used to produce the spare part?a. Molding b. Additive manufacturing c. Lenticular printing d. Tampography The tangent ration! helpp!! Find the value of x. PLEASE HELP!Simplify.x^2-3x-10/x+3/2x^2-7x-15/x^2-9 The change that occurs at point C could be caused by Multiple choice question. A) increased predation by wolves. B) a wet year with increased vegetative growth. C) increased competition from moose herds. D) a dry year with decreased vegetative growth. Help pleaseee I need it so bad A) In terms of electrolysis, its been said from multiple sources online that Using water's density and relative atomic populations, it is estimated by a mass balance that approximately 2.38 gallons of water are consumed as a feedstock to produce 1 kg of hydrogen gas (14.13 liters), assuming no losses.B) However, 1 Gallon of water is said to contain approximately 4,707 liters of hydrogen.How can both statements be correct under normal atmospheric conditions, since even with 80% efficiency of current PEM electrolyzers the first statement (A) is nowhere near the +4,000 liters of the second approximation (B)? A juice machine is set to dispense 16 ounces of juice. The amount of juicedispensed is normally distributed, with a mean of 16.15 ounces and astandard deviation of 0.25 ounces. In which range will the amount of juicedispensed be found 68% of the time? Read this short story, and write the correct imperfect forms of the verbs in parentheses in the space provided below. Be sure to number your answers.Un Da en la Escuela(1)___Ser)___ lunes. A Paco no le (2)___(gustar)___ los lunes porque (3)___(tener)___ que ir a la clase de ingls. El amigo de Paco se (4)___(llamar)___ Pepe. Paco y Pepe siempre (5)___(Ir)___ juntos a la clase de ingls. El maestro de la clase de ingls se llamaba Seor Alcachofa. El Seor Alcachofa era muy exigente. El problema era que Paco no (6)___(haber)___ hecho su tarea. Mientras Paco (7)___(pensar)___ en una excusa, su amigo Pepe le dijo "Puedes copiar mi tarea." Paco lo (8)___(considerar)___ mientras (9)___(esperar)___ que empezara la clase. Entonces, Paco pens en las palabras de su padre: "Honra y dinero se ganan despacio y se pierden ligero." Paco decidi ser honesto y dijo sinceramente al Seor Alcachofa que no hizo su tarea. Despus de hacerlo, Paco se sinti mejor. Paco (10)___(saber)___ que haba hecho lo justo.Can you just make the numbered words in imperfect form?