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

The line shown in the graph passes through the points (2, 4) and (-1, 6). Which is the
equation of the line?

Answers

y2 -y 1 / x2 - x1
6 - 4 / -1 - 2
2 / - 3
m = -2/3 x (slope)

(88÷1×2×5−9)+3×8 what does this make

Answers

Answer: 6992

Step-by-step explanation: (88 / 1 = 88) (88 * 2 = 176) (176 * 5 = 880) (880 - 9 = 871) (871 + 3 = 874) (874 * 8 = 6992)

50 points and will mark brainlist


READ ABOVE

true

or


False

or


Not enough information

Answers

Answer:

that is true

Step-by-step explanation:

i think it's help

Step-by-step explanation:

The advertising are telling the truth value of this questions

Pawl,colin and bria are waiters. One night the restaurant earns tips totalling £78.40 the share the tips in the ratio 2.1.5 how much more does Brian get over colin

Answers

Answer:  Brian gets $39.2 more over Colin.

Step-by-step explanation:

Given: Total tip amount = £78.40

The ratio of the share of tips for Pawl, Colin and Bria  is 2:1 :5.

Let tip amount for Pawl = 2x, tip amount for Colin = x , tip amount for Bria = 5x

Then, 2x+x+5x= 78.40

[tex]\Rightarrow\ 8x = 78.40\\\\\Rightarrow x=\dfrac{78.40}{8 }\\\\\Rightarrow x=9.8[/tex]

Tip for Colin = $ 9.8 , Tip for Bria = 5($9.8)= $49

Difference = $(49-9.8) = $ 39.2

Hence, Brian gets $39.2 more over Colin.

50 points! True or false? Will mark brainliest! No random answers please :)

Answers

Answer:

true because it have no common solution

Answer: false!

Step-by-step explanation:

To be parallel, the lines have to have the same slope. The slope for line a is 5, the slope for line b is -1/5. These lines are perpendicular.

2y - 6x = 10
What’s the y intercept and slope and how do I rearrange them in the y=Mx+b form?

Answers

Answer:

Slope/m=3, y-intercept=5

Step-by-step explination

2y-6x=10

Factor out the common term of two

2y/2-6x/2=10/2      /=dividing

y-3x=5

Add 3x to both sides

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

Simplify

y=5+3x

To get the slope-intercept form (y=mx+b)

y=3x+5      

Simplify x^−7. Write your answer using only positive exponents.

Answers

x-7 Is how you simplify

Positive form is 1/x/7

PLS HELPPP I don’t understand and I need help if so pls pls

Answers

Answer:

A

Step-by-step explanation:

rod is closest at 3m change

judy is medium at 7 m change

nelda is deepest at 9m change

Yeah he’s exactly right...... A

What is the y intercept of the following equation 3x-2y=4

Answers

Answer:

(0, -2)

i am pretty sure this is the answer

Please help help help help help im having trouble with this problem what is the answer

Answers

B. Increasing, nonlinear.

Hope this helps. Also, cool pfp.

Please help ASAP !!!

Answers

your answer is A !!!

Please mark BRAINLEST

Two triangles have the same base lengths. One Triangle has the height that is 4 times the height of the other triangle. Are the heights and the areas of the two triangles proportional?

Answers

YES

Area of Triangle 1

Base=b

Height= h

Area 1=A1=1/2*b*h

Area of Triangle 2

Base=b

Height= 4h

Area of triangle 2=A2=1/2*b*4h

Comparing A1 and A2

A2/A1= (1/2*b*4h)/(1/2*b*h)

= (1/2*b*4h)/(1/2*b*h)

=4/1

Ratio of heights =h2/h1= 4/1

Ratio of areas =A2/A1= 4/1

They are proportional.

Paulo sells 249 medium pumpkins for $8 each and 84 large pumpkins for $14 each. How much money does Paulo collect selling the medium and the large pumpkins

Answers

Answer:  $3,168

Step-by-step explanation:

Paulo sells 249 medium pumpkins for $8 each. The money Paulo makes from this is:

= 249 * 8

= $1,992

Paulo also sells 84 large pumpkins for $14. The money made is:

= $1,176

Total from selling both is:

= 1,992 + 1,176

= $3,168

please answer this question

Answers

Answer:

C, The marble is 3 times as likely to be black as it is to be white.

Step-by-step explanation:

The probability of a marble being drawn is:

number of marbles of that color/total number of marbles

Find total number of marbles

5+8+4+15= 35

So the probability of drawing:

white: 5/32

polka dot: 8/32

striped: 4/32

black: 15/32

The probability of drawing white, polka dot, or striped is obviously different, so A is wrong.

The probability of drawing every color but black is 5/32 + 8/32 + 4/32 = 17/32, which is more than the chance of drawing black, so B is wrong.

The probability of drawing black is 15/32, and that is 3 times larger than the probability of drawing white (5/32), so C is correct.

The probablility of drawing a polka dot is 8/32, which is not four times as large as stripe (4/32), so D is wrong.

-1 + 3x< 14 solve the equality

Answers

Answer:

x = 5

Step-by-step explanation:

add positive one to both -1 and 14

divide each side by 3

What are the solutions of the equation (2x - 21 = 8?

Answers

Answer:

Exact Form: x= 29/2 ( the / is _ under 29)

Decimal form: x= 14.5

Mixed form: x= 14 1/2 ( the / is _ under 2)

                 

Step-by-step explanation:

Move all terms that don't contain

x

to the right side and solve.

The principal would like to assemble a committee of 8 students from the 20-member student council. How many different committees can be chosen?

Answers

Answer:

2

Step-by-step explanation:

If you subtract 8from20 there's 11 memeber student councilors left which then you subtract another 8from the remaining 11 students and there would be 3 student councilors left which means

there can only be 2.5 different committees because you can't subtract 3 from 8

Answer:

125790 different committees can be chosen.

Step-by-step explanation:

The principal would like to assemble a committee of 8 students from the 20-member student council.

We need to find How many different committees can be chosen?

Since the order is not important, so we use Combinations to solve the question.

The formula used is: [tex]^nC_r=\frac{n!}{(n-r)!r!} \\[/tex]

In the question given: we have n = 20 and r = 8

Putting values and finding the number of ways committees can be chosen:

[tex]^nC_r=\frac{n!}{(n-r)!r!} \\\\^{20}C_8=\frac{20!}{(20-8)!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13*12!}{12!8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8!} \\^{20}C_8=\frac{20*19*18*17*16*15*14*13}{8*7*6*5*4*3*2*1} \\^{20}C_8=\frac{5079110400}{40320}\\^{20}C_8=125970[/tex]

So, 125790 different committees can be chosen.

Use the discriminant to determine the number and type of solutions for the equation x^2+49=14x

(A). This equation has 1 real solution and one imaginary solution because the discriminant is negative.
(B). This equation has 2 imaginary solutions because the discriminant is negative.
(C). This equation has 2 real solutions because the discriminant is positive.
(D). This equation has 1 real solution because the discriminant is 0.

Answers

Answer:

d is the answer

Step-by-step explanation:

Help me please. Id appreciate it greatly

Answers

Answer:

1.39

2.4/5

3. 4/5t+39

4. 4

5.4/3

6.4/3g+4

i hope i got this right.

The following two triangles are similar. Side AB = 25, side PQ = 5, and side BC = 15. What is the length of side QR?

Answers

Answer:

25

Step-by-step explanation:since i helped can i have brainlst please that would be greatly apericated

Answer:

25

Step-by-step explanation:


A full glass of water can hold a bottle.
How many glasses of water can be filled with 3 and 1/2 bottles of water?

Answers

It can fill 21 glasses of water
Explanation: 1 glass holds 1/6 of a bottle then 6 glasses hold 1 glass bottle water. then 3(12)or72 bottle can give 6⋅72 glasses of water , that is 21 glasses.

The number of zeroes at the end of the cube root of the number1000

Answers

Hey there!

The answer to your question is one zero.

To solve this, we can first start by finding the cube root.

[tex]\sqrt[3]{1000}[/tex]

The answer to this is [tex]10[/tex], because [tex]10 * 10 * 10 = 1000[/tex]

Now, we can see that there is one zero at the end of [tex]10[/tex].

Hope it helps and have a great day/night! Stay safe!

i need help this too help me and thank you and thank you

Answers

A is (-1,0) B is (0,-3) C is line of symmetry D is (3,0) E is (2,-3) F is (1, -4)

. Water in a 10 gallon tank is draining at a rate of 2 gallons per hour. Water in a separate tank is filling at a rate of 4 gallons per hour. How long until the tanks have the same amount of water?

Answers

Answer:

Step-by-step explanation:

Water in a 10 gallon tank is draining at a rate of 2 gallons per hour.

= 10 - 2x

Water in a separate tank is filling at a rate of 4 gallons per hour.

= 10 + 4x

Equating both Equations together

10 - 2x = 10 + 4x

10 - 10 = 4x - 2x

How long until the tanks have the same amount of water?

Let the time = x

What is the slope of each line? Line A: y = negative 5 x minus 2 Line B: y = 2 x + 3

Answers

Line A slope is -5
Line B slope is 2

Am I the only one here that is having a huge problem with Geometry?

Answers

Answer:

18y+30y+14y+150°+142=540

62y+292=540

subtract 292 from both sides

62y= 248

divide 62

y=4°

What number is 2/5 of 50

Answers

2/5 * 50

= 100/5
= 20
Hi ☘

I dont understand 2/5 of 50

İf 50.2/5

[tex]50. \frac{2}{5} = 50 \div 5 = \frac{2}{5 \div 5} = 10.2 = 20[/tex]

İf 2/5 /50

[tex] \frac{\frac{2}{5} }{50} = \frac{2}{5} . \frac{1}{50} = \frac{2 \div 2}{5} . \frac{1}{50 \div 2} = \frac{1}{5} . \frac{1}{25} = \frac{1}{125} = 0.008[/tex]

If 5-x=3 then what is 3x^2

Answers

Answer:-

• Given:-

5 - x = 3

Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

3x²

➪ 3 × (2)²

➪ 3 × 4

12

Therefore, 3x² will be = 12.

Help it’s due now! Please

Answers

Answer:

44

Step-by-step explanation:

Substitute the values for the variables.

5(8) + 12/3

40 + 4 = 44

The answer is wat she or he said ^^ your welcome.! :)

There are 10 children at a party. If each child gets 1/8 of the pizza, how many pizzas will be needed?

Answers

Answer:

2 pizzas

Step-by-step explanation:

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