Solve: 4x(x - 3)(x + 5)(2x - 7) = 0

Answers

Answer 1

Answer: 8x⁴ - 12x³ - 176x² + 420x

Step-by-step explanation:

First multiply 4x by (x - 3) which = 4x² - 12x. Next multiply (4x² - 12x) by (x + 5) which = 4x³ + 8x² - 60x. Multilying our new trinomial with the next binomial: (4x³ + 8x² - 60x)(2x - 7) = 8x⁴ + 16x³ - 120x² - 28x³ - 56x² + 420x. Combining like terms: 8x⁴ - 12x³ - 176x² + 420x. Notice that when you reduce and factor, you will end up with the starting binomials meaning this solution is correct.


Related Questions

Shonda has $73.28 more than Jane. Together they have
$130.30. How much money does Shonda have?

Answers

The answer is -57.02

What is the slope and y-intercept of the equation?

y = −35x+2

Answers

Answer:

slope = -35  y intercept= (0,2)

Step-by-step explanation:

Write the nth term of each sequence suggested by the pattern 3. 6. 9. 12. 15...

Answers

Answer:

3x.....

Step-by-step explanation:

Answer:

27

Step-by-step explanation:

Each next number is increased by 3. We already have 5 of the 9 numbers, so do find the ninth number quickly, do this:

9 - 5 = 44 × 3 = 1215 + 12 = 27

I hope this helps!

Which expression shows 7+21 written as a product of two factors?
(A)3(1+7)
(B)3(3+7)
(C)7(3+3)
(D)7(1+3)

Answers

D because (1+3) equals 4 and 7 times 4 equals 28 and 7+21 equals 28 yw

Expressing or writing 7+21 as a product of two factors requires the application of Distributive Property

The expression that shows 7+21 written as a product of two factors is

7(1 + 3).

To solve the above question, we apply the Distributive property.

This is expressed as:

       a (b + c) = ab + ac

Where

a is the common factor

We are given the expression:

7 + 21

Splitting this into two factors using the distributive property

7 + 21

The common factor for 7 and 21 is 7

Hence, by factorising we have:

7 + 21 = 7(1 + 3)

Therefore, the expression that shows 7+21 written as a product of two factors is :

7(1 + 3)

The correct option is D

To learn more, visit the link below:

brainly.com/question/14424158

How many 5/16 foot pieces of wood can you cut from a board that is 1 9/16 feet long?
A. 1/5
B. 125/256
C. 5
D. 3

Answers

Answer:

c

Step-by-step explanation:

divide the two factors and the answer is five

what is the distance between -19 and -12

Answers

Answer:

8

Step-by-step explanation:

-12, - 13, -14, -15, -16, -17, -18, -19

1,    2,      3,   4,    5,   6,    7,    8

The answer is 8
Hope this helps

Plz help I am confusion

Answers

Answer:

85

Step-by-step explanation:

Un número desconocido es multiplicado por 11 y a este resultado se le resta 24. El resultado de esta operación es 86. Escribe en lenguaje algebraico la expresión anterior y contesta: ¿Cuánto vale el número desconocido?

Answers

Answer: The number is 10.

Step-by-step explanation:

Let x be the required number.

Given: 11 is multiplied to the number then 24 is subtracted from that and the result is 86.

The mathematical statement for the given situation,

11x -24 = 86

To solve the equation, Add 24 on  both sides , we get

11x - 24 +24 = 86+24

⇒ 11x = 110

Divide both sides by 11, we get

x = 10

hence, the number is 10.

A store pays $37 for a tv stand Store marks up the price by 20 %. What is the new price?

Answers

Answer:

$44.4.

Step-by-step explanation: To find the new price, we would simply perform "37 + 20%" yielding 44.4, or forty four dollars and 40 cents. Hope this answered your question.

Answer: 44.4

Step-by-step explanation:

To calculate the original price of a discounted or sale item, you need to know the sale price and the discount percentage. The calculations include a simple formula that divides the sale price by the result of 1 minus the discount in percentage form. Use this formula to calculate the original or list price of an item.

whats (2x-3y+4z)+(9x-8y+7z)

Answers

Answer:

=(2x-3y+4z)+(9x-8y+7z)

=2x+9x-3y-8y+4z+7z

=11x-11y+11z

hope like the answer

please mark the answer as brainliest

Make a conjecture about the next term in this sequence: 2, 4, 6, 8

Answers

Answer:

You would add 2, so the next number in the sequence would be 10.

Step-by-step explanation:

i think the correct answer is 10


pls mark me as the brainliest

Simplify. (-2)^-3...............

Answers

Answer:

the answer is -8

Step-by-step explanation:

because the negative sign is inside the parentheses with the 2, (-2)^3 can be expanded to -2*-2*-2.

now solve.

[tex]-2*-2*-2\\4*-2\\-8[/tex]

hope this helps!

Find the difference. -3/5 - (-5/9)

Answers

-2/45

-3/5 + 5/9

-27/45 + 25/45

-2/45

GIVING 20 POINTS I NEED IT ASAP
If B is the midpoint of segment AC, AB=2x+12, and BC=3x-15, find AC.

Answers

Answer:

AC= 5x - 3

Step-by-step explanation:

Segments Addition:

AB + BC = AC

(2x+12) + 3x-15 = AC

5x - 3 =AC

pearl will put wire around a rectangular lot with a width of 20m and a length that is two times its width.how many mters of wire will she need?​

Answers

Let's see what to do buddy...

_________________________________

STEP (1)

First we need to find the length.

(( length is two times the width ))

Length = 20 × 2 = 40 m

_________________________________

STEP (2)

Pearl will put wire around a rectangular.

Around of rectangular = Perimeter of it

So we must to find the perimeter of the rectangular.

[tex] \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: p = 2(length + width) \\ \\ p = 2(20 + 40) \\ \\ \: \: \: \: p = 2 \times 60 = 120[/tex]

So Pearl needs 120 meters of wire.

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Simplify each radical And show your work √72
√20
√42
2√12
3√75
-2√18​

Answers

Answer:

[See Below]

Step-by-step explanation:

[tex]\boxed{Hey~There!}[/tex]

__________________________________________________________

[tex]\boxed{Simplify~each~radical:}[/tex]

1.) [tex]\sqrt{72}[/tex]:

Factor [tex]72[/tex] into its prime factors :

          [tex]72 = 23 * 32[/tex]  

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

          [tex]36 = 22 * 32[/tex]  

Factors which will remain inside the root are:

          [tex]2 = 2[/tex]  

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:

          [tex]6 = 2 * 3[/tex]

[tex]\boxed{The~answer~is: 6\sqrt{2}}[/tex]

2.) [tex]\sqrt{20}[/tex]:

Factor [tex]20[/tex] into its prime factors :

          [tex]20 = 22 * 5[/tex]  

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

         [tex]4 = 22[/tex]

Factors which will remain inside the root are:

          [tex]5 = 5[/tex]  

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:

          [tex]2 = 2[/tex]

[tex]\boxed{The~answer~is: 2\sqrt{5}}[/tex]

3.) [tex]\sqrt{42}[/tex]:

Factor [tex]42[/tex] into its prime factors :

          [tex]42 = 2 * 3 * 7[/tex]

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. In our case however, all the factors are only raised to the first power and this means that the square root can not be simplified .

[tex]\boxed{The~answer~is: \sqrt{42} }[/tex]

4.) [tex]2\sqrt{12}[/tex]:

Factor [tex]12[/tex] into its prime factors :

          [tex]12 = 22 * 3[/tex]  

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

          [tex]4 = 22[/tex]  

Factors which will remain inside the root are:

          [tex]3 = 3[/tex]  

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:

          [tex]2 = 2[/tex]

[tex]\boxed{The~answer~is: 4\sqrt{3} }[/tex]

5.) [tex]3\sqrt{75}[/tex]:

Factor [tex]75[/tex] into its prime factors :

          [tex]75 = 3 * 52[/tex]  

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

          [tex]25 = 52[/tex]  

Factors which will remain inside the root are:

          [tex]3 = 3[/tex]  

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:

          [tex]5 = 5[/tex]

[tex]\boxed{The~answer~is: 15\sqrt{3}}[/tex]

6.) [tex]-2\sqrt{18}[/tex]:

Factor [tex]18[/tex] into its prime factors :

          [tex]18 = 2 * 32[/tex]  

To simplify a square root, we extract factors which are squares, factors that are raised to an even exponent. Factors which will be extracted are:

         [tex]9 = 32[/tex]  

Factors which will remain inside the root are:

          [tex]2 = 2[/tex]  

To complete the simplification we take the square root of the factors which are to be extracted. We do this by dividing their exponents by [tex]2[/tex]:

          [tex]3 = 3[/tex]

[tex]\boxed{The~answer~is: 3\sqrt{5}~or~-6\sqrt{2}}[/tex]

__________________________________________________________

[tex]Hope~this~helps~Mate~\\-Your~Friendly~Answerer,~Shane[/tex]  ^-^

4. 12% of 72 is what number?
+
5. What percent of 50 is 18?
+
6. 12 is 90% of what number?

Answers

Answer:

8.64,36,13.33

question no.4

12% of 72

= 12/100×72

=8.64#

question no.5

18=50×x%

18=0.5x

x=36

= 36% of 50 is 18

question no.6

12=90% of x

12= 0.9x

x= 13.33

= 12 is 90% of 13.33

4. 8.64
What is 12 percent (calculated percentage %) of number 72? Answer: 8.64. 5. 36%
Convert fraction (ratio) 18 / 50 Answer: 36%. 6. 13.33
Answer and Explanation:
12 is 90% of 13.33 nearest to 2 decimal places.

What is the angle of rotation for the following figure?
120°
90°
60°
45°

Answers

Answer:

45

Step-by-step explanation:

360/8 = 45

The required angle of the rotation is 45°.


Angle of rotation is to be determined. Each spin represent degree of rotations.


What is angle?

The angle can be defined as the one line inclined over another line.

Total number of spines = 8
The angle of rotation = 360/8
                             = 45°


Thus, the required angle of the rotation is 45°.

Learn more about Angles here:
https://brainly.com/question/13954458

#SPJ5

what is a subset?? i need clear answers pls

Answers

Answer: Mathmatical definition

a set of which all the elements are contained in another set.Step-by-step explanation:

Suppose the function f(t) = 95 cosine (StartFraction pi Over 10 EndFraction t) + 120 models the height of a seat on a Ferris wheel after t minutes.

Based on this information, what is the diameter of the Ferris wheel?

Answers

Answer: C

Step-by-step explanation:

Answer: C

Step-by-step explanation:

ye

what is the answer to this question

Answers

Answer:

They are both 60 degress

Step-by-step explanation:

Both are 6O degrees mate

Determine if (3, 7) is a Solution or not Solution to the linear system.

y = 2x + 1

y = -4x + 7

Answers

Answer:

y = 2x + 1 --> linear

y = -4x + 7 --> non-linear

Not a solution for linear system.

Step-by-step explanation:

for (a), y = 2x+1, substitute the x and y values. keep in mind, that in a linear pair, (x, y). So, for the first equation you get:

7 = 2x3 + 1. This is correct, because 6 + 1 is 7. Therefore, (a) is linear.

for (b), we have to substitute our values again. You get:

7 = -4x3 + 7, which is

7 = -12+7, which is not true. So, (b) is not linear.

This means that for the linear pair (3, 7), it does not satisfy both equations, which means that it is not a solution for the linear system.

Answer: NO

Step-by-step explanation: quizzez

Simone purchased a circular exercise plan with a radius of 2.5 feet to keep her new puppy safe. Find the area inside the pen.

Answers

Answer:

Step-by-step explanation:I think the answer is 19.63

Evaluate each expression if
w=3/4, x=8, y=-2, and z=0.4

Answers

Answer:

The answer to your problem is -480

does anyone have the answer to this problem???

Answers

Answer:

94

Step-by-step explanation:

A laboratory experiment requires 2400 milligrams of sugar. How many kilograms of sugar does the experiment require?

Answers

Answer:

0.0024

Step-by-step explanation:

1 killogram=1000000

please helpppppppppp

Answers

Answer:

1.0

Step-by-step explanation:

You would fill in the box 1.0

To figure that out, the exponent for 10 is -9

Go to the original number and move the decimal 9 numbers to the right

You will get 1.0

What is 625/1000 in simplest form?

Answers

Answer:

5/8

Step-by-step explanation:

Hope This Helps!

Plz Mark Brainliest

4+3(3x + 1) = 29 - 2x

Answers

Answer:

Step-by-step explanation:

4 + 9x + 3 = 29 - 2x

9x + 7 = 29 - 2x

11x = 22

x = 2

Answer:

x=2

Step-by-step explanation:

4 + 3(3x+1)=29 − 2x

4 + (3)(3x) + (3)(1)=29 + −2x

4 + 9x + 3=29 + −2x

9x + 7=−2x + 29

9x + 7 + 2x=−2x + 29 + 2x

11x + 7=29

11x+7 − 7=29 − 7

11x=22

11x /11=22/11

x=2

Casey buys sandwiches and bags of chips. each sandwich cost three times as much as a bag of chips she bought 5 sandwiches for 6$each and spent 42$.how many bags of chips dis she buy

Answers

Answer: Casey bought 6 bags of chips

Step-by-step explanation:

Other Questions
based on paragraph 5, what inferences can you draw about Miras attitude to the United States? I need some help with thissss The value of y varies directly with x. When y=4, x=12. What is the value of y when x is 42 whats 5+5??????????????????????? A bus is moving at a constant speed of 30 m/s. How many hours will it take to travel 200 miles? Officer Barnes has been pulling over speeders all night. Some drivers he tickets, some he doesnt. If Officer Barnes acts according to the theory of radical criminology, which driver is LEAST likely to receive a speeding ticket?a young teenager who just got her first cara poor truck driver who is trying to make a deadlinea famous actress who is on her way to the airporta group of construction workers headed home for the day Guys please what is the answer of 6y+-2 What was promised to southern states that allowed slaves to join the Continental Army? What was the response of southern states? 2) Which word BEST describes Alisa?A) bossyB) lonelyselfishD) influentialThink its (c)-Selfish. I dont know the property of the atmosphere that describes weather circulating air motions will be strong or weak is called If the pH of a solution increases by 2 units (e.g., from 3 to 5), then the ratio of the new to the original hydronium ion concentration is 1. 648,400 seconds into days Which angles pairs with the names? I just need a simple checklist :). molecules move in and out of a cell by diffusion. the picture shows a cell molecules both inside and outside the cell how will the molecules in this illustration move as a result of diffusionout of the cellinto another cellto the extern environment into the cell A one-tailed hypothesis test with the t statistic Antisocial personality disorder (ASPD) is characterized by deceitfulness, reckless disregard for the well-being of others, a diminished capacity for remorse, superficial charm, thrill seeking, and poor behavioral control. ASPD is not normally diagnosed in children or adolescents, but antisocial tendencies can sometimes be recognized in childhood or early adolescence. James Blair and his colleagues have studied the ability of children with antisocial tendencies to recognize facial expressions that depict sadness, happiness, anger, disgust, fear, and surprise. They have found that children with antisocial tendencies have selective impairments, with significantly more difficulty recognizing fearful and sad expressions. Suppose you have a sample of 40 16-year-old children with antisocial tendencies and you are particularly interested in the emotion of disgust. The average 16-year-old has a score on the emotion recognition scale of 11.80. (The higher the score on this scale, the more strongly an emotion has to be displayed to be correctly identified. Therefore, higher scores indicate greater difficulty recognizing the emotion). Assume that scores on the emotion recognition scale are normally distributed.The null hypothesis is that your sample of children with antisocial tendencies would have no more difficulty recognizing emotion than the general population of 16-year-olds. Stated using symbols:_________. This is a __________ tailed test. Given what you know, you will evaluate this hypothesis using a________ statistic. Please help!! Thank you! Data Table 2: Distance from the SunPlanet NameDistance from Sun (m)Saturn11.43 x 102Jupiter7.79 x 101Mars2.28 x 10"Neptune4.50 x 1021. What is the gravitational force between the Sun and each of the 4 planets listed fromthe solar system? Write an equation perpendicular to y = -2x - 7 that passes through the point (4,3) Do you agree that people only half express themselves? Why or why not? if you narrow a major research question, this is probably due to what problem you encountered while following the research plan?