if x=2⅓-2, then find the value of x³+6x²+12x​

Answers

Answer 1
Answer:

4  19/27

Step-by-step explanation:

x = 2 1/3 - 2

= 1/3

x³ + 6x² + 12x =

= (1/3)³ + 6(1/3)² + 12(1/3)

= 1/27 + 6×1/9 + 12×1/3

= 1/27 + ⁹⁾2/3 + ²⁷⁾4

= (1 + 18 + 108)/27

= 127/27

= 4  19/27


Related Questions

Explain how you can use grouping to make multiplying three factors easier.

Answers

Answer:

no To multiply three factors, we first multiply two of the factors together. Then we multiply the product we get by the third factor. Since multiplication is commutative, we may multiply numbers in any order.

what is 02.15cm in meters

Answers

Answer:3200

Step-by-step explanation:

A gopher begins at 7 inches below the surface of a garden and digs
another 9 inches. Which expression represents this problem? *

7-9
9-7
-7-9
-7-(-9)

Answers

-7-9, because he already starts below the surface by 7 feet then digs 9 inches lower

what’s 2 miles divided by 3

Answers

answer: when you take 5280 feet times two (2 miles) and then divide by three you get 3,520 feet

55,555 times x = 965,777 teacher gave this weird question and i do not under stand help me please. also which pic is prettier be honest

Answers

Answer:

[tex]\frac{965777}{55555}[/tex]

Step-by-step explanation:

The answer is quite simple, just divide both sides and rewrite the equation to get it. Maybe focus more on the question rather than yourself next time :)

yesterday jack drove 33 1/2 miles. He used 1 1/4 gallons of gasloine

Answers

Jack then had an accident and he went to the hospital where he proceeded to have an awfully painful death

What is the slope of the line in the graph?

-4/3
-3/4
3/4
4/3

Answers

-3/4 that is the slop of the line in graph

Answer: -3/4

Step-by-step explanation: I'M SMART

Andrew is taking a multiple choice test with a total of 80 points available. Each
question is worth exactly 2 points. What would be Andrew's test score (out of 80) if
he got 8 questions wrong? What would be his score if he got x questions wrong?

Answers

Answer:

Andrew's test score if he got 8 questions wrong = 64 points

Andrew's test score if he got x questions wrong = 80 - 2x

Step-by-step explanation:

Total points of the multiple choice test = 80

Each question = 2 points

Total questions = Total points of the multiple choice test / 2 points

= 80/2

= 40

Total questions = 40

A. What would be Andrew's test score (out of 80) if he got 8 questions wrong

If he got 8 questions wrong out of 40 questions

= Total question points - wrong question points

= 40*2 - 8*2

= 80 - 16

= 64 points

Andrew's test score if he got 8 questions wrong = 64 points

B. What would be his score if he got x questions wrong?

Test points if he got x questions wrong = Total question points - wrong question points

= (40 * 2) - (x * 2)

= 80 - 2x

Andrew's test score if he got x questions wrong = 80 - 2x

If you count to 100 by 2, how many numbers will you say?

Answers

50 would be the answer 100 divided by 2 I believe

Answer:

If you start at 0, 51.  If you start with 2, 50.

Step-by-step explanation:

The amount of numbers that will be said are simply 100/2 which is 50 since counting by two is the same as the amount of even numbers up to 100.  If you start at 0, simply add an additional count, making 51.

Cheers.

Use the distributive property to find the product

Answers

Answer:

1st one: -24a-6b-36c

2nd one: 14mn-12m

Step-by-step explanation:

1st one: Multiply '-6' w/ '4a', 'b', and '6c'

2nd one: Multiply '2m' w/ '7n' and '-6'

The second one is 14mn - 12m and the first is -24a + -6b + -36c


Jane builds a ramp made of a triangular prism and a rectangular prism. What is the volume
of the ramp?
7.5 m3
11.5 m
1 m
4 m
28 m
2 m
3.5 m
15 m

Answers

Answer:11.5

Step-by-step explanation:I’ve done this in a test before and that is the correct AnSwEr

Find the value of x in each case:

Answers

Answer:

x=15

Step-by-step explanation:

5x+(180-9x)+(180-8x)=180

total of a triangle angles is 180

Answer:

15°

Step-by-step explanation:

Step 1:

180° - 8x + 5x + 180° - 9x = 180°    Sum of Triangle

Step 2:

360° - 12x = 180°     Algerbra

Step 3:

- 12x = 180°      Algerbra

Step 4:

12x = 180° Algerbra

Answer:

x = 15°

Hope This Helps :)

A board 91 cm long is to be cut into two parts so that the longer part is 10 cm more than twice as long as the shorter part. Find the length of each part.

Answers

Answer:

The parts are 27 cm and 64 cm long.

Step-by-step explanation:

Let the shorter part be x.

"The longer part is 10 cm more than twice as long as the shorter part."

shorter part: x

longer part: 2x + 10

total length: x + 2x + 10

total length: 91

x + 2x + 10 = 91

3x + 10 = 91

3x = 81

x = 27

2x + 10 = 2(27) + 10 = 54 + 10 = 64

Answer: The parts are 27 cm and 64 cm long.

Simplify the expression: 4 + 10x + 5 - 9x

Answers

[tex]\text {Hello! Let's Solve this Equation!}[/tex]

[tex]\text {In order to Simplify this Equation you must subtract}[/tex] [tex]\text { it with the same match as it. Let me show what I mean.}[/tex]

[tex]\text {\underline {Subtract}}[/tex]

[tex]\text {10x-9x=1x=x}[/tex]

[tex]\text {\underline {Add}}[/tex]

[tex]\text {4+5=9}[/tex]

[tex]\text {Your Answer would be:}[/tex]

[tex]\fbox{x+9}[/tex]

[tex]\text {Best of Luck!}[/tex]

Hey there!☺

[tex]Answer:\boxed{x+9}[/tex]

[tex]Explanation:[/tex]

[tex]4+10x+5-9x[/tex]

Let's simplify.

[tex]4+10x+5+-9x[/tex]

Now let's combine like terms.

[tex](10x+-9x)+(4+5)[/tex]

[tex]x+9[/tex]

Hope this helps!

what is an equation of the line that passes through the points (4,-6) and (8,-4)​

Answers

Answer:

[tex]y = \frac{1}{2} x - 8[/tex]

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is the gradient (also known as slope) and c is the y-intercept (the point through which the line cuts through the y-axis).

[tex]\boxed{gradient = \frac{y1 - y2}{x1 - x2} }[/tex]

Using the gradient formula above,

[tex]m = \frac{ -4 - ( - 6)}{8 - 4} \\ m = \frac{ - 4 + 6}{4} \\ m = \frac{2}{4} \\ m = \frac{1}{2} [/tex]

Substitute the value of m into the equation:

y= ½x +c

To find the value of c, substitute a pair of coordinates.

When x=4, y= -6,

-6= ½(4) +c

-6= 2 +c

c= -6 -2 (-2 on both sides)

c= -8 (simplify)

Thus, the equation of the line is y= ½x -8.

I tried using a protractor but i kept getting it wrong? can you help me anyone?

Answers

Ask the teacher to show you how to use the protector and maybe that should help once you do that you write down what you have on your protector on the answer box

State if the given functions are inverses. f(x) = 1/x + 3 g(x) = 4/x + 2

Answers

Answer:

  they are not inverses

Step-by-step explanation:

f(1) = 1/1 +3 = 1 +3 = 4

g(4) = 4/4 +2 = 1 +2 = 3 ≠ 1

If the functions were inverses, we would have g(f(1)) = 1, which we do not.

The given functions  are not inverses.

_____

The same would be true if your functions were

  f(x) = 1/(x+3) and g(x) = 4/(x+2)

  f(1) = 1/(1+3) = 1/4

  g(1/4) = 4/(1/4 +2) = 4/(9/4) = 16/9 ≠ 1

Which of the following are coplanar??

Answers

Answer:

Points T, R and Q are coplanar

Step-by-step explanation:

They are all lying on plane P

What I am really in need of help. If anyone answers this I will award 60 points to anyone!

Answers

There is usually calculator that will solve it for you look for them just plug the question in and it can show the steps too

- If there are 12 inches in a foot, what is 4,096 cubic inches converted to cubic feet? a. 28.44 ft3 c. 2.370 ft b. 341.33 ft3 d. 4.096 ft3​

Answers

Step-by-step explanation:

2.370.

One cubic foot equals 1728 cubic inches. So, to convert from cubic inches to cubic feet you should divide your cubic inches figure by 1728.

I hope it helps!

A yard has a perimeter of 400 feet. If eight times the length of the yard equals seventeen times the​ width, what are its​ dimensions?

Answers

Answer:

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Step-by-step explanation:

Let

Width = 17 × width

Length = 8 × length

8l = 17w

l = 17w/8

Perimeter of a rectangular yard = 2(length + width)

400 = 2(17w/8 + w)

400 = 34w/8 + 2w

400 = 17/4w + 2w

400 = 17w+8w/4

400 = 25w/4

Cross product

1600 = 25w

Divide both sides by 25

w = 1600/25

= 64 feet

Recall,

l = 17w/8

= 17*64 / 8

= 1088/8

= 136 feet

Length of the rectangular yard = 136 feet

Width of the rectangular yard = 64 feet

Kyle has $25 and gets a job walking Chihuahuas for $2 per hour. Sophia has $4 and walks Rottweilers for $9 per hour. How many hours will they both have to work to have the same amount of money?

Answers

Answer:

  3 hours

Step-by-step explanation:

Let k represent Kyle's balance after h hours. Let s represent Sophia's balance after h hours. Then we have ...

  k = 25 +2h

  s = 4 +9h

We want to find h so that k=s:

  25 +2h = 4 +9h

  21 = 7h . . . . . subtract 4+2h

  3 = h . . . . . . . divide by 7

If both work 3 hours, they will have the same amount of money.

HELP PLZZZZZZZZZZZZZZZ!!!!!!! ASAP
The graph represents the number, in millions, of farmers with small farms in the United States since the year 1935.

Which statement about the exponential function represented on the graph is true?
A.) Initially, there were about 660,000 farmers and the growth rate is positive.
B.) Initially, there were about 660,000 farmers and the growth rate is negative.
C.) Initially, there were about 6,600,000 farmers and the growth rate is positive.
D.) Initially, there were about 6,600,000 farmers and the growth rate is negative.

Answers

Answer: The answer is D Alpha

You very welcome alpha

Answer:

D

There were about 6,600,000 farmers and the growth rate is negative

Point A (-8, 7) and Point B (6,-9) form a line segment on a coordinate plane. What is the midpoint of line segment AB

Answers

Answer:

-1,-1

Step-by-step explanation:

it is the midpint (-1,-1)

Answer:

( -1 , -1 )

Step-by-step explanation:

( -8 + 6 / 2 ) , ( 7 + -9 / 2)

( -2 / 2) , ( -2 / 2)

( -1 , -1 )

Your car's gas tank is 3/4 full before you leave for your trip. When you stop at the gas station, the tank is only 1/12 full. Show the amount of change as a rational number.

Answers

Answer:

2/3

Step-by-step explanation:

Write the following standard forms into exponential form 3 x 3 x 3 x 3 and 7 x 7.

Answers

Answer: 3^4, 7^2

Step-by-step explanation:

3 times itself 4 times! Seven times itself 2 times

3*3*3*3 = 3 with power of 4
7*7= 7 with power of 2

When Bryan was 11 years old he was 150.25 centimeters tall. For the next 4 years, he grew 65 centimeters a year. How tall was Bryan when he was 15 years old? Help PLEASE​

Answers

Step-by-step explanation:

He grew 65cm a year??? Omg

I think it is

65cm x 4(years)= 260cm

150.25 + 260= 410.25cm

So, when he was 15 years old he was 410.25cm tall

What is the domain of the relation? {(−4.5, 0), (−3, 9), (0.9, 0), (4, −7.8), (4, 0), (17, 3)}

{0.9, 4, 17}

{−7.8, 0, 3, 9}

{−4.5, −3, 0.9, 4, 17}

{−4.5, −3}

Answers

Answer:

Domain of the relation is Option (c) : {−4.5, −3, 0.9, 4, 17}

A new zoo is coming to your city and they want to give away prizes. Every 4th customer will receive a panda hat, every 10th customer will receive a giraffe beach towel and every 20th customer will receive a stuffed gorilla. Out of the first 100 people to enter the zoo how many will get all three items?

Answers

Answer:

5 people

Step-by-step explanation:

Let's find LCM of 4, 10 and 20:

4 = 2*210 = 2*520 = 2*2*5

LCM(4,10,20) =2*2*5 =  20

There are 100/20 = 5 twenties in 100

So every 20th person will get all 3 prizes, in total 5 people

A 24 foot long tree casts a shadow that is 9 feet long at the same time a nearby building casts a shadow of 45 feet long how tall is the building

Answers

Answer:

i think the answer you're looking for is 60

Step-by-step explanation:

24-9=15

45+15=60

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