Simplify 3 ( x + 2 ) − 2 ( x 2 + 2x − 4 ).

Which of the polynomials below represents the answer written in standard form?

Select one:
a. - 2x 2 − x + 14
b. - 2 + 7x + 2x 2
c. - 3x 4 + 14
d. 2x 2 + 7x − 2

Answers

Answer 1

Answer:

The polynomials that represents the answer is -2x² - x + 14 a

Step-by-step explanation:

Let us solve the question

∵ The expression is 3(x + 2) - 2(x² + 2x - 4)

→ Multiply each bracket by the number before it

∵ 3(x + 2) = 3(x) + 3(2)

3(x - 2) = 3x + 6

∵ 2(x² + 2x - 4) = 2(x²) + 2(2x) + 2(-4)

∴ 2(x² + 2x - 4) = 2x² + 4x + (-8)

→ Remember (+)(-) = (-)

2(x² + 2x - 4) = 2x² + 4x - 8

∴ 3(x + 2) - 2(x² + 2x - 4) = (3x + 6) - (2x² + 4x - 8)

→ Multiply the (-) by all the terms in the 2nd bracket

∴ 3(x + 2) - 2(x² + 2x - 4) = 3x + 6 - 2x² - 4x + 8

→ Add the like terms

∵ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (3x - 4x) + (6 + 8)

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² + (-x) + 14

∴ 3(x + 2) - 2(x² + 2x - 4) = -2x² - x + 14

The polynomials that represents the answer is -2x² - x + 14


Related Questions

write an equation of the line and interpret the slope ​

Answers

Answer:

Step-by-step explanation:

Slope of this line will be= m= (600-200)/(1-5)

m = 400/-4 = -100

Eq of line will be:

(y-y1)=m(x-x1)

y-200=-100(x-5)

y-200+100x-500=0

100x+y-700 = 0

To write equation in slope-intercept form

y=mx+c

just seperate "y"

y=-100x+700

Hey there!

The answer to your question is [tex]y = -100x + 500[/tex]

To write this equation in slope-intercept form, first we must figure out the slope. We can do this using the formula

[tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]:

[tex]\frac{200-600}{5-1}[/tex]

[tex]\frac{-400}{4}[/tex]

[tex]-100[/tex]

Now, we have part of the equation: y = -100x + b. We have to find b, and we can do so by plugging in one of the points into the equation, like so:

[tex]600 = -100(1) + b[/tex]

[tex]600 = -100 + b[/tex]

[tex]500 = b[/tex]

Now, we have our equation:[tex]y = -100x + 500[/tex]

Hope it helps and have an amazing day!

1100 students attend Ridgewood Junior High School. 20% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday?

Answers

Answer:

20% of 1100 is 220, so two hundred and twenty students brought their lunch to school on Thursday (and every other school day).

Step-by-step explanation:

The day of the week is a distraction.  All you need to know is that 20% of 1100 students bring their lunch to school every day. 20% of 1100 is 200 + 20, or 220. So 220 students bring their lunch to school every day.

In 1990 it would have cost $3.70 to send 13 postcards and 7 letters. It would have cost
$2.65 to send 6 postcards and 7 letters. How much did it cost to send a letter in 1990?

Answers

Answer:

$0.37

Step-by-step explanation:

This can be solved by solving a system of linear equations that is shown above.

how do you Round 96,286 to the nearest thousand.

Answers

Answer:

The correct answer is 96,000

Step-by-step explanation:

To round you look at the thousands place and there is a 9 then you look at the number to the right of it which is 2 and it is lower than 5 since it is lower than five it rounds down so the correct answer is 96,000.

HAVE A GOOD DAY!

Answer:

96,000

Step-by-step explanation:

 If the number on the right of the nearest thousand is lower than 5 the nearest thousand and the numbers to the left of it stay the same, while the numbers on the right turn into 0(zeros) but if the number in the right of the nearest thousand is 5 or grater then the nearest thousand would go up one digit while the numbers on the left of the nearest thousand stay the same, while the numbers on the right of the nearest thousand turn to zeros.

12. UZ, VX, and TW are medians of Triangle TUV. If YX = 8, find VY.​

Answers

Answer:

VY = 16

Step-by-step explanation:

The median of a triangle is the segment that joins a vertex and the midpoint of the side opposite to this vertex.The point of intersection of the medians of a triangle, divide each median at ratio 2: 1 from the vertex.

In the given figure

∵ TUV is a triangle

UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide VX at the ratio of 2: 1 from the vertex V

VY: YX = 2: 1

∴ [tex]\frac{VY}{YX}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ VY × 1 = YX × 2

VY = 2YX

∵ YX = 8

∴ VY = 2(8)

VY = 16

the ratio of length and breadth of a piece of land is 5:3 and its breadth is 48m. find the perimeter and area of the land.

Answers

Answer:

256 m and 3840 m²

Step-by-step explanation:

The 3 part of the ratio represents 48 m , then

48m ÷ 3 = 16 m ← value of 1 part of the ratio, so

5 parts = 5 × 16 m = 80 m

Then breadth = 48 m and length = 80 m

perimeter = 2l + 2b = 2(80) + 2(48) = 160 + 96 = 256 m

area = lb = 80 × 48 = 3840 m²

_____+67-34=72 plzzz help me​

Answers

ax ndw/klfme'lwmqasxdefrtghy6u7jygtrfasStep-by-step explanation:

Answer:

Solve everything backwards

It REALLY helps!

Step-by-step explanation:

Please answer number 14
I already tried but don’t understand

Answers

Answer:[tex] < abc = < ebc \\ < acb = < ecd \\ if \: two \: angles \: in \: the \:two \: different \: triangles \: are \: equal \: then \: the \: third \: angle \: in \: the \: triangle\: must \: be \: equal. \\ using \: pythogres \: theorum \\ ab = \sqrt( ac ^{2} - bc^{2} )\\ = \sqrt (15 ^{2} - 12 ^{2}) \\ = \sqrt( 225 - 144 )\\ = \sqrt(81) \\ ab = 9 \\ sides \: of \: similar \: triangle \: are \: propotional \\ ac \div ec = dc \div bc \\ 15 \div x = 12 \div 6\\ x = 15 \times 6\div 12\\ x = 15 \div 2 \\ x = 7.5 \\ so \: ec \: = 7.5 \\ you \: can \: check \: this \: by \: applying \: pythogores \: theorum. \\ i \: hope \: this \: helps[/tex]

1. A group of friends share a large popcorn at the movies. It costs $4.95 to buy the first bag and $0.65 for each refill.
If they spent $6.90, how many times did the group of friends refill their popcorn?

Answers

$6.90-$4.95= $1.95
% .65
ANSWER- 3 times

Find the value of f (-2)

Answers

Answer:

f(-2)=-5

Step-by-step explanation:

i think of the line -5

|
g28hpierhdf0iuvhb2riuwdfbhv0uiopt4kwhdsf09urfhugt3ehvnpiutfhboijdgnvpiudehbt0cshf897ufghvt87dmhsf7ghf9uyh

Answers

Answer:

8. 7

9. 9

Step-by-step explanation:

27/12 times 4 is 9, 9-2 is 7

3x-18=x

2x=18

x=9

Answers:
z = 7
x = 9

Explanation:
cba

help with this one easy question

Answers

Answer:

a.

Step-by-step explanation:

Answer:

Question 1 is A

Question 2 is D

Question 3 is A

Question 4 is D

Question 5 is C

2x^-2 y^-2 x= 3 and y = –2?

Answers

Answer:yes

Step-by-step explanation:

Answer:

1/18.

Step-by-step explanation:

2x^-2 y^-2

x= 3 and y = –2?

Answer is 2(3)^-2 * (-2)^-2

= 2/(3)^2 * 1/(-2)^2

= 2/9 *  1/4

= 2/36

= 1/18.

To visit the top of the Empire State Buidling, a ticket
cost $20.00 in 2009. In 2020, the price rose to $50.00. What was the percent increase?

Answers

Answer:

Step-by-step explanation:

the percent increase is

(50-20/20)*100=(30/20)*100=150

150% increase

what percent of 75 is 15

rebember to wright answer in percent form

Answers

Answer:

20%

Step-by-step explanation:

20% is the answer.........

This question hard solve fast lots of points

Answers

Answer:

2<a<5

Step-by-step explanation:

solve the following system of equations​

Answers

-9x+12y=15
-10x+12y=6

x=9

-81+12y=15
12y=96

y=8

Answer: x = 9 y = 8

Please help me thank you

Answers

The answer is 47 or x = 47
180-58+75=
The answer is x= 14

I hope this help you

A spinner with 5 equal section labeled 1-5 is spun 50 times. The results are shown in the table below. What is the theoretical probability of spinning an even number

Answers

Answer:

18/50

Step-by-step explanation:

The spinner was spun 50 times and both 2 and 4 are even numbers which was landed on 8 and 10 time so therefore 18/50

Answer:

i think its 2/5

Step-by-step explanation:

it says a probability of spinning an even number and there is 2 even numbers so out of the 5 there is 2 of them so it would be 2/5

the difference of a number b and 10​

Answers

Answer: the written expression would be b - 10

Step-by-step explanation:

Factor:
14y2 + 7y
Your answer should be in the format:
GCF ( )
Do NOT use spaces
Do NOT use capital letters

Answers

Answer:

7y(2y+1)

Step-by-step explanation:

The answer is:
7y(2y+1)
Welcome

the digit in the 6 in which number represents a value of

choose 1 answer:
A.5,716
B.186,200
C.644​

Answers

Answer:

down below

Step-by-step explanation:

we dont know what the number is

The answer is A. The 6 in 5716 is in the ones place, if it were in any other place it would represent 60, 600, or 6000. Therefore, the answer is A.

plz help i dont want to fail

Answers

Answer:

[tex]p=\$1.50,\\c=\$0.75[/tex]

Step-by-step explanation:

We can write the following system of equations:

[tex]\begin{cases}3p+2c=6.00,\\2p+3c=5.25\\\end{cases}[/tex]

Multiply the second equation by [tex]-\frac{3}{2}[/tex] to isolate and solve for [tex]c[/tex]:

[tex]\begin{cases}3p+2c=6.00,\\-3p-4.5c=-7.875\\\end{cases},\\-2.5c=-1.875,\\c=\fbox{$\$0.75$}[/tex],

Now plug in [tex]c=0.75[/tex] into any equation to solve for [tex]p[/tex]:

[tex]3p+2(0.75)=6.00,\\3p=4.50,\\p=\fbox{$\$1.50$}[/tex].

Answer:

One Slice of Pizza is $1.50

One cola is $0.75

Step-by-step explanation:

First, we need to define our variables:

x = pizza

y = cola

Next, we need to create two equations (one for Tanisha's order and one for Rachels order) using the information provided in the problem:

3x + 2y = 6.00

2x + 3y = 5.25

Now, we need to use one of the equations to solve for one of the variables:

3x + 2y = 6.00

2y = 6 - 3x

y = 3 - 1.5x

Next, we need to substitute y into one of the equations to find x:

2x + 3 (3 - 1.5x) = 5.25

2x + 9 - 4.5x = 5.25

-2.5x + 9 = 5.25

-2.5x = -3.75

x (or price per slice of pizza) = 1.50

Finally, we need to use the value we found for x to solve for y:

(2 x 1.5) + 3y = 5.25

3 + 3y = 5.25

3y = 2.25

y (or price per cola) = .75

I hope this helps!

-TheBusinessMan

I need help it really hard

Answers

Answer:

ΔPQR and ΔSTU are not similar.

Step-by-step explanation:

The two triangles look distinguishable from each other.

The triangles are not similar

Find volume and surface area

Answers

Volume of cone = (pi • r^2 • h)/3

If the diameter of the circle on the cone is 8 then the radius is 4.

V = (pi • 4^2 • 9)/3

V = 48pi in^3

Surface are of cone given radius.
= pi • r^2 + pi • r • square root of r^2 + h^2

A = 3.14 • 4^2 + 3.14 • 4 square root of 4^2 + 9^2

A = 16 • 3.14 + 4 square root of 97 • 3.14

A = 50.24 + 4 square root of 304.58

A = 50.24 + 69.81

A = 120.05

p⁷×p⁴÷p⁵
Palese can Any one can help me In completing this question

Answers

Answer:

the answer p to the 6th power

Step-by-step explanation:

here

p7xp4

p11/p5

p6

yo I need help asap would really appreciate, solve photo attached please also pls tell me how you did it

Answers

Answer:

The average rate of change is 4.

Step-by-step explanation:

Average rate of change is simply a fancy way of saying "find the slope".  

So for slope, we use (y2-y1)/(x2-x1).

(3-(-13))/(2-(-2))

16/4

4

BROO HELP ME WITH THIS QUESTION BROOOOOOOOOOOOOOOOOOOOOOOOO

Answers

Answer:

x=y

Step-by-step explanation:

becuase I need pointssss

A value is decrease by 92% for a new value of 13.12 find the original value

Answers

Step-by-step explanation:

Decreased by 92% = 8% of original

8% of original value = New value = 13.12

100% of original value = 13.12 * (100/8) = 164.

The original value is 164.

Which of these expressions is equivalent to 2 (2x+1)
a) 2 2x +2
b) 2 2x x 2
c ) 2 2x +1
d)2 2x x 1

Answers

2(2x + 1)
= 2 * 2x + 2
= 4x + 2
So, in conclusion, the answer to this question is a) 2 * 2x + 2
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