expand and simplify (x-2)³

Answers

Answer 1

Step-by-step explanation:

(x-2)³ = (x-2) × (x-2) × (x-2)

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

(x² -4x + 4) (x-2) = x³ -2x² -4x² +8x +4x -8

x³ -6x² +12x - 8


Related Questions

Thirty-six members of the choir, or 30% participated in the talent show. How many total students are in the choir?

Answers

120 students. 30% of 120=36

3
5
+
2
3
=
whats the answer

Answers

Answer:

19/15 is the answer

Explain how you would solve the problem below.



20% of 60

Answers

20% of 60 is

20 / 100 * 60

= 1200 / 100

= 12
Hope this helps

Average 8, 14, and 11

Answers

Answer:

Step-by-step explanation:

you add 8,14, and 11 to get 33 then you divide it by 3, because there are 3 numbers meaning the average is 11.

If that makes, all you have to do is add up all the numbers then divide by the amount of numbers you see to find the average of the numbers.

[tex]\huge\text{\bf Hey there!}[/tex]

[tex]\large\text{The word \underline{average} is basically the \boxed{\bf mean} of a data set. When you }\\\large\text{hear or see the word \underline{average} in math think of its asking you to \boxed{\bf find \ your \ total}}\\\large\text{in your data set.}[/tex]

[tex]\large\text{Here is the formula to make it easier to solve}\downarrow[/tex]

[tex]\mathbf{mean = \dfrac{sum\ of\ all\ terms}{number\ of\ terms}}}[/tex]

[tex]\large\text{YOUR EQUATION:}[/tex]

[tex]\mathbf{average = \dfrac{8 + 14 + 11}{3}}[/tex]

[tex]\mathbf{\dfrac{8 + 14 + 11}{3}}[/tex]

[tex]\mathbf{= \dfrac{22 + 11}{3}}[/tex]

[tex]\mathbf{= \dfrac{33}{3}}[/tex]

[tex]\mathbf{= \dfrac{33\div3}{3\div3}}[/tex]

[tex]\mathbf{= \dfrac{11}{1}}[/tex] [tex]\mathbf{\rightarrow 11\div1}[/tex]

[tex]\mathbf{= 11}[/tex]

[tex]\huge\boxed{\text{Therefore, your answer should be: \textsf{11}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Any help wit this one

Answers

Answer:

22.5 centimetres per second.

Step-by-step explanation:

To get the awnser for this you do the highest length of centimetre which is 90 divided by how many seconds it took to get to 90 centimetres, then we do 90÷4 which equals to 22.5, so the awnser is 22.5 centimetres per second. Hope this helps.

what is the slope of the line

Answers

Answer:

The slope is 0.8 or 4/5.

Step-by-step explanation:

Let's take two points on a line. (-2,0) and (3,4).

Now, determine the rise and run.

Rise: 4Run: 5

Slope = Rise/Run

=> 4/5

Conclusion:

Therefore, the slope is 0.8 or 4/5.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

Answer:

The answer is rise over run

Step-by-step explanation:

You divide the rise coordinate on the Y axis of the X coordinate

solve one step equation

5x = -15

Answers

Answer:

x=-3

Step-by-step explanation:

This is a one step solution all you do is divide 5 into -15

-15/5 = -3

so -3 = x

x = -3 | 5 multiplied by -3 is equal to -15

Candi must take 15 ml of Medicine A three times daily, until it is finished. If the bottle of Medicine A contains, 5 L, how many days will she be taking the medication?
Round off your answer to the nearest whole number.​

Answers

Candi would be taken medicine A for 11 days for her to complete the medication.

1 L = 1000 ml

Candi needs to take 15 ml of Medicine A three times daily. Therefore:

Amount of drug taken by Candi daily = 15 ml * 3 times = 45 ml = 0.045 L

Since the bottle contains 5 L, The number of days she needs to take the madication is:

Number of days = 5 L / 0.045 L = 11 days

Candi would be taken medicine A for 11 days for her to complete the medication.

Find out more at: https://brainly.com/question/2077866

Solve.

x−8.2=−9.09

What is the solution to the equation?

Enter your answer in the box.

x =

Answers

Answer:

x = - 0.89

Step-by-step explanation:

x - 8.2 = - 9.09

x = - 9.09 + 8.2

x = - 0.89

Answer:

-0.89

Step-by-step explanation:

Correct me if I'm wrong, isn't the Distance from A to C be 7?
Cords:
A (1,0)
B (1,6)
C (5,3)​

Answers

Answer:

no you're not wrong go with your gut

Step-by-step explanation:

equivalent expression for: 3(1-7)

Answers

Answer:

Multiply the number in the parantheses by 3. Then subtract them.

Step-by-step explanation:

What does Point P on the number line represent? (Use the hyphen for negative numbers, such as −9)

I will mark you brinilylist if you got the best aswer

Answers

Answer:

-5

Step-by-step explanation:

considering they are counting in whole numbers it should be -5

ababccaaadadaddaddaa

Answers

Answer:

ababababababababbbababbbababbababaaaaaabababbababab

Step-by-step explanation:

hru and thank u for this question

Answer:

dsvrg

Step-by-step explanation:

if n=11 what is p pls help me

Answers

p=49 1/2 that's the answer i got you lil guy

please i need help with this

Answers

Given :-

Line p has an equation of y = 5/3x - 4 .Line q includes point (-10,-3) and is perpendicular to the line p .

To Find :-

The equation of line q .

Solution :-

The equation of the line p is ,

[tex]\sf\blue{\longrightarrow}[/tex] y = 5/3x - 4

On comparing to slope intercept form of the line which is y = mx + c , we have ,

[tex]\sf\blue{\longrightarrow}[/tex] m = 5/3

Now as we know that the product of slopes of two perpendicular lines is -1 . So the slope of the perpendicular line will be ,

[tex]\sf\blue{\longrightarrow} m_{\perp} = -3/5[/tex]

Now here the line q passes through the point (-10,-3) . So on using the point slope form of the line we get ,

[tex]\sf\blue{\longrightarrow} y - y_1 = m(x-x_1)[/tex]

[tex]\sf\blue{\longrightarrow}[/tex] y - (-3) = -3/5[ x-(-10)]

[tex]\sf\blue{\longrightarrow}[/tex] y +3 = -3/5(x+10)

[tex]\sf\blue{\longrightarrow}[/tex] y+3 = -3/5x - 6

[tex]\sf\blue{\longrightarrow}[/tex] y +9 = -3/5x

[tex]\sf\blue{\longrightarrow}[/tex] y = - 3/5x - 9

Hence the required answer is y = -3/5x - 9 .

Answer:

For Perpendicular lines you have to know

Step-by-step explanation:

Slope of P ×slope of q=-1 (always since they are perpned..)

so as P has the slope 5/3 in order to optain - 1 the slope of q should be negative of the inverse of p

so q solpe =-3/5 then lets try (5/3)×(-3/5)? =-1 yes

And be aware that you have to know the formula of straight line : y-ypoint=slope(x-xpoint) or y=ax+b

so y+3=-3/5(x+10) ===> y=-3/5x - 30/5 - 3

uniting the denominater ==>y=-3/5x - 45/5

so that q equation is :y=-3/5x - 9

Laura just became a personal trainer and is finalizing her pricing plans. One plan is to charge
$55 for the initial consultation and then $41 per session. Another plan is to charge $50 for the
consultation and $46 per session. Laura realizes that the two plans have the same cost for a
certain number of sessions. How many sessions is that? What is that cost?

Answers

Using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Translate the situation into algebraic equations.

Let y = Total cost x = number of sessions

Equation for total cost of the first plan:

y = 41x + 55

Equation for the total cost of the second plan:

y = 46x + 50

To find the number of sessions that would yield same cost for both plans, make both equations equal to each other and solve for x.

41x + 55 = 46x + 50

Combine like terms together

41x - 46x = - 55 + 50

-5x = -5

x = 1

For a session, both plans will yield the same cost.

The cost 1 session will yield for both:

41x + 55 = 46x + 50

Plug in the value of x

41(1) + 55 = 46(1) + 50

96 = 96

Therefore, using algebraic equations:

the number of sessions that will give same cost for both plans is: 1

the cost is: $96

Learn more about algebraic equations on:

https://brainly.com/question/10612698

14.) AXYZ is shown.
Y
124°
34°
22°
X
Z
What are the side measures in order from
least to greatest?

Answers

Answer:

22 , 34 , 124

Step-by-step explanation:

hope this helps!

In a week, Tracy earns $12.45 less than twice the amount Kayla earns. Tracy earns $102.45. How much does Kayla earn?

Answers

Answer:

$57.45

Step-by-step explanation:

102.45=2x-12.45

2x= 102.45+12.45

2x=114.90

x= 114.90/2

x=$57.45

PLS ANSWER AND I WILL MARK AS BRAINLIST

Answers

Answer:

the correct answer is -8

Step-by-step explanation:

Raise -2 to the power of 3.

Answer:

Step-by-step explanation:

(-2)*(-2)*(-2) = -8

Help pleaseeee :,) 100 points

Answers

Answer: J) 125

Explanation:

Answer:

x = 125

Step-by-step explanation:

Given equation:

[tex]\log_224-\log_23=\log_5x[/tex]

[tex]\textsf{Apply the Quotient log law}: \quad \log_ax - \log_ay=\log_a\frac{x}{y}[/tex]

[tex]\implies \log_2\left(\dfrac{24}{3}\right)=\log_5x[/tex]

[tex]\implies \log_28=\log_5x[/tex]

Rewrite 8 as 2³:

[tex]\implies \log_2(2^3)=\log_5x[/tex]

[tex]\textsf{Apply the Power log law}: \quad \log_ax^n=n\log_ax[/tex]

[tex]\implies 3\log_22=\log_5x[/tex]

[tex]\textsf{Apply log law}: \quad \log_aa=1[/tex]

[tex]\implies 3(1)=\log_5x[/tex]

[tex]\implies \log_5x=3[/tex]

[tex]\textsf{Apply log law}: \quad \log_ab=c \iff a^c=b[/tex]

[tex]\implies 5^3=x[/tex]

[tex]\implies x=125[/tex]

Perform the indicated operation
g(x)=x^3+5x and f(x)=2x-2
Find (g o f)(x)

Answers

Answer:

  g(f(x)) = 8x^3-24x^2+34x-18

Step-by-step explanation:

The composition is ...

  [tex](g\circ f)(x)=g(f(x))=g(2x-2)\\\\=(2x-2)^3+5(2x-2)\\\\=(2x)^3 +3(-2)(2x)^2+3(-2)^2(2x)+(-2)^3+10x-10\\\\=8x^3-24x^2 +24x-8+10x-10\\\\\boxed{(g\circ f)(x)=8x^3-24x^2+34x-18}[/tex]

In ΔJKL, j = 74 cm, k = 14 cm and l=80 cm. Find the measure of ∠J to the nearest degree.

Answers

Answer:

  ∠J = 60°

Step-by-step explanation:

The Law of Cosines tells you ...

  j² = k² +l² -2kl·cos(J)

Solving for J gives ...

  J = arccos((k² +l² -j²)/(2kl))

  J = arccos((14² +80² -74²)/(2·14·80)) = arccos(1120/2240) = arccos(1/2)

  J = 60°

_____

Additional comment

It is pretty rare to find a set of integer side lengths that result in one of the angles of the triangle being a rational number of degrees.

Answer:

60

Step-by-step explanation:

pls help everyone this is due tomorrow at 8 am <3

Answers

Answer:

e=19.6h

Step-by-step explanation:

If in 21 hours, she earns 411.60 dollars, then we need to find how much she makes in ONE hour.

21 h            1 hour

--------- = ------------------

411.60 dollars    xdollars

To get from 21 to 1, I would have to divide by 21, right? So, do the same for the denominators.

411.60 / 21= $19.6

Now, since we know the unit rate, we can make an equation!

e=19.6h

Andre runs at a constant speed, 5 meters every 2 seconds. how long does it take him to run 91 meters at this rate

Answers

Answer: 36.4 seconds

(Unitary method)

5 meters take 2 seconds

1 meter takes 2/5 seconds

91 meter takes 2/5 * 91 --> 36.4 seconds

The time taken by Andre to run 91 meters is 36.5 seconds.

What is the speed of an object?

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: Distance travelled by Andre=5 meters in time t=2seconds

Thus Andre's speed = 5/2

                                  =2.5 m/sec

Thus time taken to run 91 m is = 91/2.5

                                                  =36.5 seconds

Hence, The time taken by Andre to run 91 meters is 36.5 seconds.

Learn more about speed here:

https://brainly.com/question/28224010

#SPJ2

In the equation "y=mx+b" to find the answer do you have to multiply m and x then add b?

Answers

Answer: no.

Explanation:

As an example, let's use y=2/3x-8.

In this formula, the 2/3 before the x I the slope of the problem. The -8 would be the y-intercept. You use this formula to find both of those to graph a line, you do not multiply the slope and the x together.

What is differentiation ?

Answers

Answer:

differentiate

for example what is difference between this and that

[tex]Differentiation \: is \:  a \\ method \: of \: finding \: the \\ derivative \: of \: a \: function. \\ Differentiation \: is \: a \\ process, \: in \: Maths, \: where \\ we \: find \: the \: instantaneous \\ rate \: of \: change \: in \: function \\ based \: on \: one \: of \: its \: variables. \\ The \: most \: common \: example \\ is \: the \: rate \: change \: of \\ displacement \: with \: respect \: to \\ time, \: called \: velocity.[/tex]

slope = 1/2 goes through (2,6)

Answers

I’m not sure what the question is but I’m just gonna assume that you need the equation: y=1/2x+5

-16.51 divided by 2.54 I need answers

Answers

Answer:

Answer: -13\2

Step-by-step explanation:

-16.51

---------

2.54

-16.51

--------

2.54

1651

------

254

-13

-----

2

Answer: -13

----

2

The Williams merch team earned 8,000 on mask sales and will earn 4 for each T-shirt they sell. Their goal is to earn 12,000 on today’s sales. Write an inequality to determine the number, t, of t-shirts the merch team could sell to earn their goal.

Answers

Answer:

[tex]12,000\geq 4t+8,000[/tex]

Step-by-step explanation:

What is the measure of

Answers

Answer:

∠B = 82°

Step-by-step explanation:

To find out ∠B, we need to find out what is ∠A. We are given one clue that the outer angle of ∠A is 143°. Can we use this clue and find out ∠A? Let's find out!

=> 180 - 143 = ∠A=> ∠A = 37°

Since we have found ∠A, we can now find ∠B.

=> 61 + 37 + ∠B = 180=> 98 + ∠B = 180=> ∠B = 180 - 98=> ∠B = 82°

Conclusion:

We have finally found out our answer and our answer is '∠B = 82°'.

[tex]GeniusUser[/tex]

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