Evaluate.

(a−2b)3 when a=−3 and b=−1/2

Enter your answer in the box.

Answers

Answer 1

Answer:

[tex]-3.5[/tex]

Step-by-step explanation:

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}[/tex]

Given that,

[tex]a=(-3)\\b=(-1/2)[/tex]

So,

[tex](a-2b)^{3} \\=a^{3}-6a^{2} b+6ab^{2}-8b^{3}\\=(-3)^{3}-6* (-3)^{2} *\frac{-1}{2} +6*(-3)*(\frac{-1}{2} )^{2} -8*(\frac{-1}{2} )^{3} \\= (-27)-6*9*\frac{-1}{2} +-18*\frac{1}{4} -8*\frac{-1}{8} \\=(-27)-6*-4.5-4.5+1\\=-27+27-4.5+1\\=-3.5[/tex]

Hope this helps you

Let me know if you have any other questions :-)


Related Questions

Mona is decorating a bulletin board. She has 32 butterflies and wants to put them in 4 rows. Which picture shows how many she should put in each row?

Answers

Answer:

8

Step-by-step explanation:

you do 32/4 which is 8 so the anwer should be 8

1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

Answers

9514 1404 393

Answer:

(d)  y = -1/24x² (b)  y = 1/36x²

Step-by-step explanation:

1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...

  y = 1/(4p)x²

where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...

  y = -1/24x²

__

2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...

  y = 1/36x²

can someone pls help me <33​

Answers

9514 1404 393

Answer:

  (a)  29/69

Step-by-step explanation:

It can help to be familiar with divisibility rules. Even numbers are divisible by 2, so the fraction 174/414 can immediately be reduced to 87/207.

Both numbers have a digit total that is divisible by 3, so each of these numbers can further be divided by 3, reducing the fraction to 29/69. The number 29 is prime, so this fraction cannot be reduced further.

The reduced fraction is ...

  made shots/attempts = 174/414 = 29/69

__

Additional comment

As is often the case, a calculator can help you identify arithmetic expressions that have the same value (are equivalent).

  174/414 ≈ 0.42028986

  29/69 ≈ 0.42028986 . . . . same value

  87/207 ≈ 0.42028986 . . . . same value, but 29/69 is reduced

  17/41 ≈ 0.41453415 . . . . . not equivalent

  14/46 ≈ 0.30434783 . . . .not equivalent (and not reduced; both numbers are even)

Jacob is making spaghetti for the Anderson family reunion. He will use 14 boxes of spaghetti, with a total weight of 168 ounces.

Answers

If your asking what the total weight would be. Take 168/14 and you get 12.

Resuelve (10x-8y)(6x+4)=

Answers

Answer:

60x^2 + 40x - 48xy - 32y

Step-by-step explanation:

Let's solve this using the FOIL (first, inner, outer, last) method.

(10x-8y) (6x+4)

= 10x × 6x + 10x × 4 - 8y × 6x - 8y × 4

= 60x^2 + 40x - 48xy - 32y

Answer: 60x^2 + 40x - 48xy - 32y

Soory for the wrong answer i re solved it :)

Select all of the following statements that are true.

- + 0 = -
- - = -
- = +
- + = -
- + = +
- + = 0

Answers

Answer:

-+=- is true

Step-by-step explanation:

because - and+ are equal to -

but - and- are eqial to +

1. A rectangular canvas picture measures 12 inches by 28 inches. The canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches. Find the uniform width of the frame.​

Answers

The uniform width of the frame is 16.61 inches.

Since a rectangular canvas picture measures 12 inches by 28 inches, and the canvas is mounted inside a frame of uniform width, increasing the total area covered by both canvas and frame to 612 square inches, to find the uniform width of the frame you must perform the following calculation:

√ (612 - (28 x 12)) = X √ (612 - 336) = X √276 = X 16.61 = X

Therefore, the uniform width of the frame is 16.61 inches.

Learn more in https://brainly.com/question/15218328

please help me this is due at 6:00 and I will out for a while so please help

Answers

Answer:

a. -15

b.-5

2. 4/-3

Step-by-step explanation:

A down payment of $195 is made on a television that costs $1300. What percent of the
cost is the down payment?

Answers

6.66666667% I hope that is helpful to you

Answer:

15%

Step-by-step explanation:

Add 195 to 1300, which gives you, 1495.

Use the formula for percent change:  Difference = % * original price.

So what is the difference between 1495 and 1300? It’s 195.

Now we have 195 as the difference.

Do we know the original price of the TV? Yes we do. What is it? Its 1300 because the question states the TV costs $1300.

Now we have the equation 195 = % * 1300

We don’t know the percentage, right? So now we have to solve for %. To do that, you have to do 195 divided by 1300, which gives you 0.15. Lastly, you have to turn 0.15 into a percentage, to do that, multiply 0.15 by 100, and it should give you 15%.

Therefore, 15% is the down payment. Hope this helps!

Hello, please help me, rlly need help, Bellaguy08 you better not keep posting scam links!

Answers

Answer:

1/10

Step-by-step explanation:

The default placeholder value for tenths in math is 0.1, or 1/10. the first digit after the decimal point.

5 A triangle has a base length of 2x cm and a height of (x - 3) cm. If its area
is 18 cm², calculate its height and base length.

Answers

Answer:

base = 12; height = 3

Step-by-step explanation:

Area: ( b x h ) / 2

base: 2x

height: (x - 3)

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

( ( 2x )*( x - 3 ) )/ 2 = 18

( 2x ^2 - 6x ) = 36

2x ^2 - 6x - 36 = 0

(quadratic formula)

x = 6

x = -3

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

taking the positive value : x = 6

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

base: 2x = 2(6) = 12

height: x - 3 = 6 - 3 = 3

WILL MARK BRAINLIEST Select the correct answer.
What is the slope of the line in this graph?
y 10
9
8
00
17
6
5
5
w
3
-2
N
X
1
2
3
5
ch
6
7
7
GO
9
10
ОА.
OB &
C.
9
OD

Answers

Answer:

don't know Sorry sorry

Answer:

Edit: 2/3 or 5/7

Step-by-step explanation:

Slope(m) = 5-3/7-4 = 2/3

The figure isn't clear for me so i figured it passed through 4 3 as well but if it isn't.

Slope(m) = 5-0/7-0 = 5/7

What is 10 minus 1.5 i will mark branliest if you show woking out like collum method pls show IT​

Answers

Answer:

[tex]17/2[/tex]

Step-by-step explanation:

I don't know what the column method is, but I can give you another method of solving.

We know that [tex]1.5=1~1/2=3/2[/tex], so we really want to find [tex]10-3/2[/tex].

We know that [tex]20[/tex] divided by [tex]2[/tex] is [tex]10[/tex], so we really want to find [tex]20/2-3/2[/tex].

We can combine fractions with like denominators, so we really want to find [tex](20-3)/2[/tex].

We know that [tex]20-3[/tex] is [tex]17[/tex], so we really want [tex]17/2[/tex]. We can't simplify [tex]17/2[/tex] anymore.

So, the answer is [tex]\boxed{17/2}[/tex] and we're done!

if a fuel efficient car can go 210 miles on 4gallons of fuel, how far can it go on 12

Answers

210/8 = 26.25 miles per gallon hope it helps .

What is the common difference for the arithmetic sequence?
-5, -1, 3, 7, ...
A. 6
B. -4
C. -6
D. 4

Answers

Answer:

d. 4

Step-by-step explanation:

the numbers in the sequence keep increasing by a unit of 4.

-5 + 4 = -1

-1 +4 = 3

3 + 4 = 7

Answer:

B -4

Step-by-step explanation:

HELP ASAP!!!!! If the big triangle below has an area of 20 m squared what does x equal

Answers

Answer:

[tex]20 = (x + 1) \times 10 \times 0.5 \\ = 5 \times (x + 1) \\ x + 1 = 20 \div 5 = 4 \\ x = 4 - 1 = 3 \\ enjoy \: it[/tex]

Through (-4, 4) with slope of -3/4 answer

Answers

Answer:

use formula

(x-x^1)=m(y-y^1)

How tall is House B?

Answers

Answer:

25 maybe I don't now ok because is house a is 24 maybe house b will be 25

Elena fills 5 small jars with homemade jams to share with her friends. Each jar can fit cup of jam. How many cups of jam are in the jars? ​

Answers

Answer:

5 cups

Step-by-step explanation:

1 cup/jar x 5 jars is 5 cups

54 in. to 5ft write a ratio and fraction needs to be in lowest terms

Answers

Answer:

Step-by-step explanation:

54/5=10 4/5

Hi could someone please help me thank you

Answers

Answer:

f(x) = 25 * 1.25ˣ

Step-by-step explanation:

Use Desmos

Search it up

Bird flying 4 feet above sea level seal is 6.5 below surface

Answers

False

The bird would still be 4 feet above sea level.

Find the value of this expression if x = 5.

Answers

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

5

»»————- ★ ————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\frac{x^2-5}{x-1}\\-----------\\\\\rightarrow \frac{(5)^2-5}{5-1}\\\\\rightarrow \frac{25-5}{5-1}\\\\\rightarrow\frac{20}{4}\\\\\rightarrow \boxed{5}[/tex]

⸻⸻⸻⸻

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

Travis buys a new deep freezer. The manual tells him the temperature will drop 12℃ every hour after he plugs it in. It is currently 70℃ in his house. He checks several hours later and the freezer reads -2℃. How many hours have passed? Write an equation and solve.

Answers

Answer:

6 hours will have past if it's then -2°C

Whats 4+4+(6x168) and the answer in Spanish

Answers

It’s he alive in the bath it’s not
It's 1016, which in spanish would be: mil dieciséis.

M is the midpoint of JK. Find the coordinates of K.
J (-8, 4), M (-1, 1)

Answers

Nobody can solve this without a photo

Select the correct answer.
Cole’s age is 3 years less than his sister Tina’s age, t. If Cole is 18, which equation represents this situation, and how old is Tina?

A.
The equation that represents this situation is t − 3 = 18. Tina is 21.
B.
The equation that represents this situation is t + 3 = 18. Tina is 15.
C.
The equation that represents this situation is 3 − t = 18. Tina is 21.
D.
The equation that represents this situation is -3 − t = 18. Tina is 15.

Answers

ya ur my good but not good

The sum of 6 times and 4 is 2

Answers

Answer:

6x +2=3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example, I'm using x)

When you put it all together, it is 6x + 2 = 3

Express the relation below as a set of order pairs

Answers

(-3,9) (1, 1)

Step-by-step explanation:

Which statement explains why 13x−13y=−26 shares a solution with this system of equations:

10x−3y=29

−3x+10y=55

Answers

The given equation is derivable from the system of equations.

Response:

The reason why 13·x - 13·y shares a solution with the given system of equation is because -13·x - 13·y equals 55. I can subtract -3·x + 10 from the left side of 10·x - 3·y = 29, and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution of the equation.

Method by which the relationship between the equations was determined

Given:

The system of equation is presented as follows;

[tex]\begin{cases} \mathbf{10 \cdot x - 3 \cdot y} = 29...(1) & \text{ } \\ \mathbf{-3 \cdot x + 10 \cdot y} = 55...(2) & \text{ } \end{cases}\\[/tex]

Therefore, by subtracting equation (2) from equation (1), we have;

(10·x - 3·y) - (-3·x + 10·y) = 29 - 55 by subtracting equivalent expressions

13·x - 13·y = 29 - 55 = -26

13·x - 13·y = -26, which is the given equation

Given that the operation performed on equation (1) and (2) is the

subtraction of equivalent expressions, we have, that the solution for the

given equation, 13·x - 13·y = -26 is the same as the solution for given

system of equations.

The reason why 13·x - 13·y = -26 shares a solution with the system of equations based from the given options in a similar question is therefore;

D. because -3·x + 10·y is equal to 55, I can subtract -3·x + 10·y from the left side of 10·x - 3·y = 29 and subtract 55 from its right side. Subtracting equivalent expressions from each side of an equation does not change the solution to the equation

Learn more about simultaneous equations here:

https://brainly.com/question/10724274

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