Divide (3x⁴ -21x³+29x²-3x+28) ÷ (x−5)
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Answers

Answer 1

Answer:

-12

Step-by-step explanation:

[tex](3x⁴ -21x³+29x²-3x+28) ÷ (x−5)[/tex]

[tex]\\ 3x⁴ -21x³+29x²-3x+28 \\ x - 5\overline{)3x⁴ -21x³+29x²-3x+28} \\3x {}^{4} - 15x {}^{3} \: \: \: \ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - 6 {x}^{3 } + 29 {x}^{2} - 3x + 28 } \\ - 6 {x}^{3 } + 30 {x}^{2} \: \:\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ \overline { - {x}^{2} - 3x + 28} \\ - {x}^{2} + 5x \: \: \: \: \: \: \: \: \: \\\overline { - \: \: \: 8x + 28} \\ \: \: \: \: \: 8x + 40 \\ - 12[/tex]


Related Questions

here a subtraction problem that has been solved incorrectly 21-9=11 choose the addition sentence that check this subtraction problem here the choices are 21+9=30 11+9=20 11+21=32 which one is correct​

Answers

Answer:

Answer:

11+ 9 = 20

Step-by-step explanation:

=> 21-9=11

21 - 9 equals to 11 is actually a wrong answer

So in order to find the subtraction problem that will help us truly know whether the equation is wrong

=> 11+ 9 = 20

a cylindrical-shaped water storage tank with diameter 60 ft and height 20 ft needs to be painted on the outside. if the tank is on the ground, find the surface area that needs painting

Answers

Answer:

6600ft.² is the correct answer.

Step-by-step explanation:

Given that,

Diameter of the Cylindrical tank, d = 60 ft Height of the Cylindrical tank, h = 20 ft Radius of the Cylindrical tank, r = 30ft.

[tex] \: [/tex]

To Find:

Area of the Cylindrical tank to be painted.

[tex] \: [/tex]

Solution:

Area of Cylindrical tank to be painted = CSA of the Cylindrical tank + Area of the circle

[tex] \star \quad{ \boxed{ \green{CSA_{(Cylinder)} = 2 \pi r h }}} \quad \star[/tex]

[tex]\star \quad{ \boxed{ \green{Area_{(Circle)} = \pi {r}^{2} }}} \quad \star[/tex]

[tex] \longrightarrow \: 2\pi rh \: + \pi {r}^{2} [/tex]

[tex]\longrightarrow \: \pi r(2h + r)[/tex]

[tex]\longrightarrow \: \frac{22}{7} \times 30 \times(2\times20+30) [/tex]

[tex]\longrightarrow \: \frac{660}{7} \times (40 + 30)[/tex]

[tex]\longrightarrow \: \frac{660}{7} \times 70 [/tex]

[tex]\longrightarrow \: 660 \times 10[/tex]

[tex]\longrightarrow \: 6600 {ft.}^{2} [/tex]

Hence, Area of the Cylindrical tank to be painted is 6600ft.²

_____________________Additional Information:

[tex]\footnotesize{\boxed{ \begin{array}{cc} \small\underline{\frak{ \red{More \: Formulae}}} \\ \\ \bigstar \: \bf{CSA_{(cylinder)} = 2\pi \: rh}\\ \\ \bigstar \: \bf{Volume_{(cylinder)} = \pi {r}^{2} h}\\ \\ \bigstar \: \bf{TSA_{(cylinder)} = 2\pi \: r(r + h)}\\ \\ \bigstar \: \bf{CSA_{(cone)} = \pi \: r \: l}\\ \\ \bigstar \: \bf{TSA_{(cone)} = \pi \: r \: (l + r)}\\ \\ \bigstar \: \bf{Volume_{(sphere)} = \dfrac{4}{3}\pi {r}^{3} }\\ \\ \bigstar \: \bf{Volume_{(cube)} = {(side)}^{3} }\\ \\ \bigstar \: \bf{CSA_{(cube)} = 4 {(side)}^{2} }\\ \\ \bigstar \: \bf{TSA_{(cube)} = 6 {(side)}^{2} }\\ \\ \bigstar \: \bf{Volume_{(cuboid)} = lbh}\\ \\ \bigstar \: \bf{CSA_{(cuboid)} = 2(l + b)h}\\ \\ \bigstar \: \bf{TSA_{(cuboid)} = 2(lb +bh+hl )}\\ \: \end{array} }}[/tex]

Lines RS, TV, and SW are shown.
Which statements are true about these lines? Select three options.

Lines RS and TV are parallel.

Line TV has a slope of 0.

Line RS has a slope of 6.

Line SW has an undefined slope.

Line SW is perpendicular to line RS, but not to line TV.

Answers

Answer:

Lines RS and TV are parallel.

Line TV has a slope of 0.

Line SW has an undefined slope.

Step-by-step explanation:

Lines RS and TV are parallel as we know they will never meet because they are straight lines.

Line TC has a slope of 0 because it is horizontal.

Line RS can't be the slope of 6, because a slope greater or less than 0 will be diagonal.

Line SW has an undefined slope because it is vertical.

Line SW is perpendicular to both as it forms a 90-degree angle for both, so the 5th term is wrong.

The statements A, B, and D are true about the given lines for the shown figure.

What are Parallel lines?

Parallel lines are two or more lines in a plane that are equidistant from each other at all points. This means that they never meet or cross each other, no matter how far they are extended.

As per the shown graph, we have:

Lines RS and TV are parallel since we know they will never intersect due to their straightness.

Because line TC is horizontal, it has no slope.

Line RS cannot have a slope of 6, since any slope higher or less than 0 is diagonal.

Since Line SW is vertical, it has an undefined slope.

Since line SW creates a 90-degree angle with both, the fifth statement is incorrect.

Therefore, statements A, B, and D are true about the given lines for the shown figure.

Learn more about the Lines here:

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I WILL GIVE BRAINLIEST Alicia puts $400.00 in a bank account. Each year the account earns 5% simple interest. How much money will be in her bank account in six months?
A $410.00
B.$ 10.00
C.$20.00

Answers

Answer:

C.$20.00

Because it has to be lower than $400 and higher than $10

Please help loves <3 :)

Answers

Answer:

  4155 years

Step-by-step explanation:

The exponential equation can be solved by using logarithms to transform it to a linear equation.

The problem statement tells you that for some initial amount of C-14 equal to N0, the remaining amount is N = 0.66N0. That means the equation you need to solve is ...

  0.66 = e^(-0.0001t) . . . . . . factor of N0 in 0.66N0 and N0·e^() divided out

Taking natural logs, you have ...

  ln(0.66) = -0.0001t

  t = -ln(0.66)/0.0001 ≈ 4155

The age of the spear head is about 4155 years.

1.) For a project, Guadalupe needs 3/4 of a foot of ribbon. She has a piece that is 1/8 of a foot. How much more ribbon does she need for her project?​

Answers

Answer:

5/8 ft more

Step-by-step explanation:

3/4-1/8=5/8

6/8-1/8=5/8

Someone Help me on these​

Answers

12. 2Na + 2H2O ➡️ 2NaOH + H2
13. 2Ag2O ➡️ 4Ag + O2
14. S8 + 12O2 ➡️ 8SO3
15. 6CO2 + 6H2O ➡️ C6H12O6 + 6O2
16. 2K + MgBr2 ➡️ 2KBr + Mg
17. 2HCl + CaCO3 ➡️ CaCl2 + H2O + CO2

The product of 6 and 2 decreased by 1

Answers

Answer:

11

expression: 6(2)-1

Step-by-step explanation:

6*2=12

12-1=11

A fair die is thrown. Calculate the probability that A 6 is thrown​

Answers

Answer:

1/6

Step-by-step explanation:

Probability = favorable outcomes/total outcomes

favorable outcomes, 1: there is only one 6 on a dice.

Total outcomes, 6: there 6 numbers on a dice.

Create the fraction

1/6

Help help math math math

Answers

Step-by-step explanation:

your teacher wrote most of the solution in this picture.

all we need to do is simplify and transform the equation

28/4 = 21/N

7 = 21/N

7N = 21

N = 21/7 = 3

formally, the ratio of corresponding (side) lengths is the same for all corresponding sides or other lines (like heights) in similar shapes.

so, the rate 28/4 = 7/1 = 7 asked also to 21 and N.

28/7 = 4

and

21/7 = N = 3

Answer:

[tex]\huge\boxed{\boxed{N=3}}[/tex]

Step-by-step explanation:

Hello.

We have the proportion

[tex]\displaystyle\frac{28}{4} =\frac{21}{N}[/tex]

In order to solve a proportion, we should cross-multiply:

28×N=4×21

28N=84

Divide both sides by 28.

N=3

And we're done!

I hope it helps & have an outstanding day!

~ST2710 :)

Line e passes through points (9, 9) and (1, 4). Line f passes through points (1, 5) and (9, 10). Are line e and line f parallel or perpendicular?

Answers

Answer:

Let A(9, 9) & B(1, 4) are two point through which Line e passes.

Equation of e is given by

y - y1 = y2 - y1/ x2 - x1(x - x1)

or, y - 9 = 4-9/1-9 (x - 9)

or, -8y + 72 = -5x + 45

or, 5x - 8y + 27 = 0...........1.

Again,

consider C (1, 5) & D (9, 10) are other two points through with Line f pass through.

Also, eqn of f is,

y- 5 = 10-5/9-1 (x - 1)

or, 8y - 5 = 5x - 5

or, 5x - 8y =0 ...........2.

Let m1 and m2 are slopes between the lines.

Now, slope of 1. = - coef. of x/ coef. of y

= -5/-8 = 5/8 =m1

& slope of 2. = -5/-8 = 5/8 = m2

Since slopes of lines i. e. m1 = m2, so the lines are parallel to each other.

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Answers

Hope you like the solution. Please mark me as brainlist.

Hope you like this helps.If you have any problems I will help u.

here a subtraction problem that has been solved correctly for 68-59=9 but the choices is 9+68=77 68+9=77 9+59=68 which one is the addition sentence that checks the subtraction problem​

Answers

Answer:

  9+59=68

Step-by-step explanation:

Each subtraction problem has a dual addition problem that can be used for checking. In general, that dual problem will add the subtrahend back to the difference to get the minuend.

Here we have ...

  original problem: 68 -59 = 9

  dual problem for checking: 9 +59 = 68

Sally had some marbles. After buying 12 more marbles, she had 25 marbles. Write and solve an equation to show how many marbles Sally had before she bought more.

Answers

Answer:

13

Step-by-step explanation:

25-12=13

Answer:

she would have 13 marbles

Step-by-step explanation:

25-12=13

because she have 25 marbles in total (after buying them) and she got 12 marbles before she bought them so it would be 13.

12x^3-91x^2+50x-7=0

use synthetic division to test the possible rational roots and find an actual root

Answers

Answer:

×=7 or ×= ⅓ or ×=¼

Step-by-step explanation:

12׳ - 91ײ + 50× -7=0

(× -7)(3×- 1)(4×-1)=0

×-7=0 or 3× -1 =0 or 4× -1 = 0

×=7 or × =⅓ or ×=¼

What is the m<6 if m<2=75

Answers

Answer:

ngle 6 is 30 degrees. Angle 6 and angle 7 are vertical angles, so they are equivalent. Also, Angle 7 and angle 5 are supplementary, so angle 5 is 180-30 = 150 degrees.i think it is the answer

a Gerardo and Natalie are selling boxes of fruit for a Habitat for Humanity fundraiser. Customers can buy small boxes of fruit and large boxes of fruit. Gerardo sold 16 small boxes of fruit and 14 large boxes of fruit for a total of $343.00. Natalie sold 13 small boxes of fruit and 23 large boxes of fruit for a total of $470.50. Find the cost of one small box of fruit and the cost of one large box of fruit. Cost of small box: $ Cost of large box: ​

Answers

Step-by-step explanation:

x = cost of a small box

y = cost of a large box

16x + 14y =343

13x + 23y = 470.5

now we multiply both equations with factors so that we have the same number of x in both (we could the same for y, but I simply picked x, because their original factors are closer and smaller).

and then we subtract the second equation from the first and since the result for y.

13 × (16x + 14y = 343)

16 × (13x + 23y = 470.5)

gives us

208x + 182y = 4459

- 208x + 368y = 7528

----------------------------------

0x - 186y = -3069

186y = 3069

y = $16.50

now let's pick e.g. the first original equation to get x :

16x + 14y = 343

16x + 14×16.5 = 343

16x + 231 = 343

16x = 112

x = $7.00

the cost of a small box is $7.00

the cost of a large box is $16.50

A high school auditorium seats 110 people. The school play has 106 people in attendance leaving 4 seats empty.
because the order in which
There are
the seats are chosen
ways that 4 seats can be left empty in the auditorium. This is a
important.

Answers

Answer:

5773185

Step-by-step explanation:

There are 110 seats

110 ways to choose the first empty seat

Now there are 109 seats

109 ways to choose the next empty seat

Now there are 108 seats

108 ways to choose the next empty seat

Now there are 107 seats

110*109*108*107=138556440

Now the order of the empty seats doesn't matter so we need to divide by 4!

138556440/ 4!

138556440/ 24

5773185

Solve by substitution:


a.
no solution
b.
(5, 1)
c.

d.

Answers

Answer

There is no Question??

. A local electricians union has 540 members. If 65% of the members attended the last meeting, how many members went to the last meeting?

Answers

351 members

Multiply .65 by 540 which gives you 351.

rewrite each equation without absolute value
y=|x-3|+|x+2|-|x-5| if x>5

Answers

Answer: y = x + 5

Step-by-step explanation:

If x>5:

Then all of these values will be positive. So the absolute value symbols are unnecessary!

so we can re-write as:

y = x-3 + x+3 - x + 5

which simplifies to:

y = x + 5

The equation is rewritten without absolute value is y=3x-6.

What is an absolute value?

The absolute value of a number is defined as its magnitude irrespective of the sign of the number. To find the absolute value of a real number, we consider only the number and remove the sign. It can only be a non-negative value.

The given equation is y=|x-3|+|x+2|-|x-5|.

Here, y=x-3+x+2-x-5

y=3x-6

Therefore, the equation is rewritten without absolute value is y=3x-6.

To learn more about an absolute value visit:

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An initial deposit of $50,000 is put into a savings account that has an interest rate of 5.6% compounded continuously. How much will be in the account at the end of 5 years?

Answers

36000
step by step:

50000x(5.6x5)%=14000
50000-14000=36000

what is pi I know its 3.14 but I need more info?

Answers

pi is 22 divide by seven. we can also say that

pi is a constant number. More than how did it form I think it's more important that why did it formed. It formed to calculate many matters about circle. Like we know that value of gravity is 9.8 it is a constant for circle

Solve for x. Please look at the picture and answer it. Thank you.

Answers

45+63+(4x-12)= 180°

96+4x = 180°

4x=84

x = 21

Find the inverse of the function.
y = 2x2-4

Answers

Step-by-step explanation:

x and y trade places.

y = 2x² - 4

y + 4 = 2x²

x² = (y + 4)/2

x = ±sqrt((y + 4)/2)

and for the usual notation we rename x to y and vice versa

y = ±sqrt((x + 4)/2)

and this is not a function, because there are now 2 result values for every input value.

Determine if true:
2x6-3=10

Answers

Answer:

False

Step-by-step explanation:

2x6=12

2x6=1212-3=9

Hence, the equation is false.

No it’s not true. 2x6=12 12-3=9

Xavier bought a sweatshirt for $80. He paid 5% tax. What is the total price of the sweatshirt including tax

Answers

Answer:

$84

Step-by-step explanation:

$80 * .05=4.00

$80 +4=$84.00

Given: ABCD is a parallelogram ∠GEC≅∠HFA and AE ≅ FC .
Prove: △GEC≅△HFA.

Answers

Already answered here: https://brainly.com/question/26860297

If w = 2, x = 6, y = 4, and z = 3, what is the value of 2w2 + 8x ÷ 3y – 4z?

a.0

b.2

c.4

d.8

Answers

You would use substitution the answer is 0

Answer:

the answer is 8

Step-by-step explanation:

I'm right, i know that for sure

What is the perimeter of the window?

Answers

Perimeter = 2πr

2(3.14)1.5 = 9.42

Perimeter = 9.42
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