Simplify the following polynomial expression.
(5x^4 - 9x^3 + 7x - 1) + (-8x^4 +
4x^2– 3x + 2) - (-4x^3 + 5x - 1)(2x -7)
A 5x^4 - 37x^3 - 6x^2 + 41x - 6
B. 11x^4- 21x^3 + 14x^2 + 33x-8
C. 11x^4- 21x^3 + 14x^2 + 33x- 6
D. 5x^4– 37x^3- 6x^2 + 4x - 8

Answers

Answer 1

Answer:

A. [tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]

step-by-step-explanation:

[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex][tex](5x^4 - 9x^3 + 7x - 1) -8x^4 +4x^2- 3x + 2 - (-8x^4+28x^3+10x^2-37x+7)[/tex][tex]5x^4 - 9x^3 + 7x - 1-8x^4 +4x^2- 3x + 2 +8x^4-28x^3-10x^2+37x-7[/tex][tex]5x^4 -8x^4 + 8x^4 -9x^3 -28x^3 +4x^2 -10x^2 +37x +7x -3x -7 -1 +2[/tex][tex]5x^4 - 37x^3 - 6x^2 + 41x - 6[/tex]
Answer 2

Answer:

[tex]5x^4- 37x^3-6x^2+ 41x-6[/tex]

Step-by-step explanation:

simplify the following expression:  

[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2-3x + 2) - (-4x^3 + 5x - 1)(2x -7)[/tex]

Expand [tex](-4x^3 + 5x - 1)(2x -7)[/tex]

[tex]\implies -8x^4 +28x^3+10x^2-35x-2x+7\\\\\implies -8x^4 +28x^3+10x^2-37x+7\\[/tex]

Therefore:

[tex](5x^4 - 9x^3 + 7x - 1) + (-8x^4 +4x^2- 3x + 2)-(-8x^4 +28x^3+10x^2-37x+7)[/tex]

Group and combine like terms:

[tex]5x^4 -8x^4- 9x^3 +4x^2+ 7x - 3x- 1 + 2-(-8x^4 +28x^3+10x^2-37x+7)\\\\\implies -3x^4- 9x^3 +4x^2+ 4x +1-(-8x^4 +28x^3+10x^2-37x+7)[/tex]

Apply the distributive rule:  [tex]-(-a+b)=a-b[/tex]

[tex]\implies -3x^4- 9x^3 +4x^2+ 4x +1+8x^4-28x^3-10x^2+37x-7[/tex]

Group and combine like terms:

[tex]\implies -3x^4+8x^4- 9x^3 -28x^3+4x^2-10x^2+ 4x+37x +1-7\\\\\implies 5x^4- 37x^3-6x^2+ 41x-6[/tex]


Related Questions

I need help on doing this i don't really know how to do it. can someone help me?
also an explination

Answers

Step-by-step explanation:

x is the hypotenuse of the triangle.

to find x:

the sum of the square of the other two sides. ( a^2 + b^2 = x^2)

[tex] {x}^{2} = {21}^{2} + {20}^{2} \\ {x}^{2} = 841 \\ \sqrt{ {x}^{2} } = \sqrt{841} \\ x = 29 \: yd[/tex]

what is 2+2 please I need help I'm confused by it ​

Answers

Answer:

4

Step-by-step explanation:

2+2 you can take it simply as

1*2 + 1*2

or 2^2

or the (square root of 4)^2

all of these ways you get 4

Answer:

2+2=4.

How are you confused!

What is the value of the function when x=5 f(x) = x-5

Answers

Answer:

When x=5, f(x)=0

Step-by-step explanation:

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

Therefore, when x=5, f(x)=0

Answer:

f(x) = 0

Step-by-step explanation:

given that x =  5

f(x) = x - 5 .......replace x with 5

→ 5 - 5

→ 0

help me please i dont get it :(

Answers

Answer:

d

Step-by-step explanation:

the square root of 121 is 11

the square root of 64 is 8

soooo

(11x+8y)(11x-8y) makes the most sense

Answer:

D. (11x + 8y) (11x - 8y)

Step-by-step explanation:

Step 1: Rewrite 121x² - 64y² as (11x)² - (8y)²

Step 2: The difference of squares can be factored using the rule:

a² - b² = (a - b) (a + b)

(11x - 8y) (11x + 8y)

or

you can write it as

(11x + 8y) (11x - 8y)

help i give 5 stars and a crown​

Answers

Answer:

See below.

Step-by-step explanation:

1a)

Angles:

48, 90, 90, a.

Add:

48 + 90= 138 + 90= 228

Subtract:

360 - 228= 132.

Angle a: 132.

1b)

To get angle h above 180°, We need to add h + 164:

h + 164= 110 + 164= 274.

h = 110.

This is how to get h over 180°.

Find the lower and upper bound for:
50 kg
measured
to the nearest
10 kg

Answers

LB - 55kg
UB - 65kg
55 ≤ x < 65

Give that helps :)

A sample of college students were surveyed about whether they lived on or off campus. The results are displayed below.


Which of the following statements is false?

The largest percentage of students living on campus is in the 1st-year group.
As the number of years in college increases, the percentage of students living on campus increases.
As the number of years in college increases, the percentage of students living off campus increases.
The difference between percent of students living on or off campus decreases as number of years of college increases.

Answers

Answer:

A.

The largest percentage of students living on campus is in the 1st-year group

took the edge 2022

The False statement among all the given statement is b).

What is proportion ?

A proportion is an equation based on the equality of two ratios.

Consider statement one by one :

a) The largest percentage of students living on campus is in the 1st-year     group - True (as seen from the graph the on campus bar for 1st year is highest.)

b) As the number of years in college increases, the percentage of students living on campus increases - False ( students living on campus decreases by years passing )

c) As the number of years in college increases, the percentage of students living off campus increases - True

d) The difference between percent of students living on or off campus decreases as number of years of college increases - True

Therefore, the False statement among all the given statement is b).

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evaluate the expression 5(m-2) + 10w when m = 8.4 and w= 1.25

Answers

Hey there!

5(m - 2) + 2w

= 5(8.4 - 2) + 10(1.25)

= 5(8.4) + 5(-2) + 10(1.25)

= 42 - 10 + 10(1.25)

= 32 + 12.50

≈ 32 + 12.5

= 44.50

≈ 44.5


Thus, your answer is: 44.5


Good luck on your assignment & enjoy your day!


~Amphitrite1040:)

Note: Enter your answer and show all the steps that you use to solve this problem in the space provided.
How do the graphs of y = 1 and y=5/x+6 compare ​

Answers

Both meet at the point (-1 , 1)

Substitute the value of y = 1 in y = 5/x + 6
1 = 5/x + 6

Move 5/x to the left side
1 - 5/x = 6

Move the constant (1) to the right side
- 5/x = 6 - 1

- 5/x = 5

Divide both sides by -5

X= - 1 (possible solution)
Plug (-1, 1) in the equation to confirm



find the value of x in the figure.

Answers

Answer:

50°

Step-by-step explanation:

The blue lines form a Right-angled triangle.

*Such triangles have one angle equal to 90°.*

*Property*

Sum of all angles in a triangle = 180°

To find :

Value of x – an angle of the right-angled triangle.

Solution:

==> 90 + 40 + x = 180

==> 130 + x = 180

isolating x

==> x = 180 - 130

==> x = 50°

work out the missing numbers:
a) 2.6 x ? = 2.86
b) ? x 1.2 = 1.8

Will make brainliest

Answers

Answer:

a) [tex]\sf x = 1.1[/tex]    b) [tex]\sf x = 1.5[/tex]

solving steps:

a)

[tex]\sf 2.6 * x = 2.86[/tex]

[tex]\sf x = \frac{2.86}{2.6}[/tex]

[tex]\sf x = 1.1[/tex]

b)

[tex]\sf x * 1.2 = 1.8[/tex]

[tex]\sf x = \frac{1.8}{1.2}[/tex]

[tex]\sf x = 1.5[/tex]

I need a lot of help this assignment is due in the next hour!
An annual bike race is 260 miles long. The distance between City A and City B is 31 miles. About how many times as long as the distance between the two cities is the bike​ race?
please answer A.S.A.P!!!

Answers

Answer:

about 8 times longer

Step-by-step explanation:

If the distance between city A and city B is 31 miles, and it's asking how much longer the total is, I'm assuming it's asking for an equation like [tex]\frac{260}{31}[/tex] which equals roughly 8 (8.39 rounded to the nearest thousandth).

Thanks

Step-by-step explanation:

Bike =260

distance between cities=31

260/31=8.38...

If d = 2, what is the value of ?
A.
1
B.

C.
4
D.
0

Answers

Answer:

2/4=0.5

A = 0.5

Step-by-step explanation:

x – y = 5
3x – 2y = 12
Please help will give 20 points

Answers

Answer:

[tex]{x,y} = {2,-3}[/tex]

Step-by-step explanation:

[tex]x - y = 5 \\\\[2] 3x - 2y = 12[/tex]    <----------- Linear equations given

Graphic Representation of the Equations: PICTURE

[tex]y + x = 5 \\-2y + 3x = 12[/tex]
Solve by Substitution :

// Solve equation [1] for the variable  [tex]x[/tex]

[tex][1] x = y + 5[/tex]

// Plug this in for variable  [tex]x[/tex]  in equation[tex][2][/tex]

[tex][2] 3*(y +5) - 2y = 12 \\ [2] y = -3[/tex]

// Solve equation [tex][2][/tex] for the variable [tex]y[/tex]

[tex][2] y = - 3[/tex]

// By now we know this much :

[tex]x = y+5 \\ y = -3[/tex]

// Use the  y  value to solve for  [tex]x[/tex]

[tex]x = (-3)+5 = 2[/tex]

Solution :

[tex]{x,y} = {2,-3}[/tex]


Which shows the best way to estimate 553 ÷ 22?

Answers

Answer:

How many 22s can go in 553

Step-by-step explanation:

Please mark me as brainliest

Convert the fraction 4/5 to a decimal.
SHOW WORKING.

Answers

Answer:

The answer is 0.8

Step-by-step explanation:

[tex] \: \: \: \: \: \: 0. 8\\ 5 \sqrt{40} \\ - 40 \\ 0[/tex]

Thus, The answer is 0.8

-TheUnknownScientist 72

Provide the missing reasons for the proof.

Given: AB = CB
EB DB
Prove: ABC ~ EBD

Answers

Answer:

Number 1 is Given.

Number 2 is the corresponding parts theorem

AB and CB are similar

also EB and DB

Number 3 is SSA similarly theorem

Step-by-step explanation:

Bear Valley already had 3 inches of snowcover when a snowstorm moved in. The storm is increasing the amount of snowcover by 1 inch per hour.
Write an equation that shows the relationship between the number of hours it has been snowing, x, and the total snowcover in inches, y.

Answers

Answer: x + 3

Step-by-step explanation:

Help, I don’t understand

Answers

Answer: -1

Step-by-step explanation: f(x) is another way of saying y. So when y is 3, according to the table, x is -1

Write 6.38 times 10 to the power of -5 as a ordinary number

Answers

Answer:

0.0000638

Step-by-step explanation:

all you need to do is move the decimal point over 5 times but this will only work if your multiply by 10 and that it has a negative exponent

The number 6.38×10⁻⁵ written in ordinary form is 1/638000.

What is scientific notation?

In scientific notations numbers are written in the form of a base that is

0  ≤ b < 10 and multiplied by 10ⁿ where n represents integers.

We write large standard numbers in scientific form in a compact manner.

Given, A number in scientific form as 6.38×10⁻⁵.

Now, We know an exponent must be written as a positive value.

Therefore,

6.38×10⁻⁵.

= 1/ 6.38×10⁵.

Now, The ordinary form of the number is when we write without the exponent.

So,

1/ 6.38×10⁵ is,

= 1/638000.

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In the past year Manuel watched 64 movies that he thought were very good. He watched 80 movies over the whole year. Of the movies he watched, what percentage did he rate as very good?

Answers

Answer:

80%

Step-by-step explanation:
64/80 is 0.8, 0.8 is equivalent to 80%

tell me if this is wrong please

Find the equation function represented by the table below: 0 1 1 3 2 9 3 27

Answers

Answer:

0-11+3u have to exp

Step-by-step explanation:

so whene the disiredble answer

please help will give brainliest

Answers

Answer:

Step-by-step explanation:

j) (2g+9h-5)-(6g-4h+2); g=-2 ; h=5

(2*(-2)+9*5-5)-(6*(-2)-4*5+2)

(-4+45-5)-(-12-20+2)

36-(-32+2)

36-(-30)

36+30

66

Antonio earned $25 on Thursday and $65 on Saturday. On Sunday he gave 10% of
the money in the offering at church. How much did he give?

Answers

Answer:

$9

Step-by-step explanation:

Total money Antonio has on Sunday =25 + 65=90

Now,10%of 90=9

So he gave $9 to church

763 Divided by 37 i need help be for 7:50 at feb 9

Answers

Answer:

4.4

Step-by-step explanation:

Answer:

20.621

Step-by-step explanation:

I used a calculator

what is the median and mode of 28,34,34,50,54 answer=

Answers

Answer:

Mean (Average):40

Median (Middle): 34

Mode (Most Common):34

Step-by-step explanation:

Is this all the numbers

Find the perimeter of the rectangle, in yards.

Answers

The perimeter of the rectangle in yards is; 46 1/3 yards

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Width = 10 1/3Length = 12 5/6

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

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Answer:

The perimeter of the rectangle in yards is; 46 1/3 yards

Perimeter of a Rectangle

The perimeter of a rectangle is the sum of the lengths of all its sides as follows;

Width = 10 1/3

Length = 12 5/6

Perimeter of a rectangle = 2(width + length

P = 2(10 1/3 + 12 5/6)

P = 2(31/3 + 77/6)

P = 2(139/6)

P = 46 1/3 yards.

Therefore, the perimeter of the rectangle in yards is 46 1/3 yards

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Step-by-step explanation:

Write an inequality that describes all the points that are more than 3 units from 5.

Answers

x>8 and x<2 are the two possible inequalities of |x - 5| > 3

What is Inequality?

a relationship between two expressions or values that are not equal to each other is called 'inequality.

Let x be the number

|x - 5| > 3

Now solve for x.

Suppose x - 5 is positive.  Then

x - 5 > 3

x > 8

Suppose x - 5 is negative.  Then |x - 5| = -(x - 5) = 5 - x

5-x>3

5-3>x

2>x

x<2

Hence, x>8 and x<2 are the two possible inequalities of |x - 5| > 3

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What is the value of this expression?
2.3· 23.623

Answers

Answer: 54.3329

Step-by-step explanation:

Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies. The following table shows the imports and exports between each of these countries. All prices are given in millions of equivalent US dollars. Country of Origin Exporting to Amount ($ 2007-13-04-00-00_files/i0160000. Jpg1,000,000) Brazil Argentina 4,691 Brazil Ecuador 4,791 Brazil Venezuela 1,526 Argentina Brazil 1,881 Argentina Ecuador 1,971 Argentina Venezuela 2,153 Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018 Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871 If these four countries trade only within this group, what is the difference between the highest balance of trade and the lowest balance of trade? a. $6,221,000,000 b. $5,003,000,000 c. $3,772,000,000 d. $2,123,000,000.

Answers

For trade between countries of Brazil, Argentina, Ecuador, and Venezuela, the difference of the highest  and lowest balance of trade is $500,300,000.

What is the data table?

Table is a way to represent the data of the two or more variable. To read the data from the table look for the value of one variable, and get the resultant value of other variable from the corresponding block.

Suppose that the countries of Brazil, Argentina, Ecuador, and Venezuela have interdependent economies.

The following table shows the imports and exports between each of these countries.

All prices given in millions of equivalent US dollars.

The trade of all the countries can be calculated as,

Brazil Argentina 4,691, Brazil Ecuador 4,791, Brazil Venezuela 1,526

[tex]B=4,691 +4,791 +1,526 =11008\rm millon[/tex]

Argentina Brazil 1,881, Argentina Ecuador 1,971, Argentina Venezuela 2,153

[tex]A=1,881+1,971+2,153 \\A=6005\rm millon[/tex]

Ecuador Brazil 3,106 Ecuador Argentina 3,672 Ecuador Venezuela 2,018

[tex]E=3,106 +3,672 +2,018\\E=8796\rm million[/tex]

Venezuela Brazil 4,535 Venezuela Argentina 1,577 Venezuela Ecuador 1,871

[tex]V=4,535 +1,577 +1,871=7983\rm million[/tex]

The highest trade is for Brazil and lowest is for Argentina. The difference between two is,

[tex]d=11008-6005\\d=5003\rm million[/tex]

The difference between the highest balance of trade and the lowest balance of trade is $500,300,000.

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Answer:

A

Step-by-step explanation:

trust me my guy/girl

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