expand and simplify (3x-2)2

Answers

Answer 1

Answer:

9x² - 12x + 4

Step-by-step explanation:

(3x - 2)² = (3x - 2)(3x - 2)

Each term in the second factor is multiplied by each term in the first factor , that is

3x(3x - 2) - 2(3x - 2) ← distribute both parenthesis

= 9x² - 6x - 6x + 4 ← collect like terms

= 9x² - 12x + 4


Related Questions

You exchange 50 AED, and receive 12 Euro. How many Euros would you receive for 1 AED? Please explain step by step on how you solved the problem. (Using equations like multiplication, devision, adding, subtracting.)

Answers

Answer:

Step-by-step explanation:

if 50 AED= 12 Euro

for 1 AED ? Euro

50AED/1AED= 12Euro/x

cross multiplication:

50*x=12*1

50*x=12

x=12/50

x=0.24 Euro

so for 1AED you will get 0.26 Euro

What are the example of discount? ​

Answers

Answer:

The definition of discount is reduced prices or something being sold at a price lower than that item is normally sold for. An example of something described as discount is a purse sold for 50 percent off its normal price or a store that focuses on selling designer items at below-market prices.

Answer:

the marked price of book is 2000.and vat is 13 percent.selling price is 1500then find discount

2(x + 1) - 3x
howwwwwww

Answers

Answer:

a = -x + 2

Step-by-step explanation:

First, you must distribute to get 2x + 2 and adding in the -3x it equals 2x + 2 - 3x = a

Combine the like terms to get -x + 2 = a

Since there is 2 variables then the answer will stay a = -x + 2 because x or a must be substituted in order to find the other variable

Ze answer is -x + 2 my dude

Can someone help me please I’ve been stuck for a week :(

Answers

Answer:

8/25.

Step-by-step explanation:

As a fraction it is 32/100 but simplified is 8/25 :)

45 cows can graze a field in 13 days. How many cows will graze the same field in 9 days​

Answers

Answer:

65 cows

Step-by-step explanation:

Inverse rule of three

[tex]45-------13\\x -------- 9[/tex]

[tex]x=\frac{(45)(13)}{9}=585/9=65[/tex]

Hope this helps


Simplify the expression 4(x-5) / 2
a. 8x - 40
b. 2x -
C. 5x - 20
d. 2x - 10
HELP PLZZZZZZ

Answers

If you simplify it, you get 2x-10 or D

Answer:8x-40

Step-by-step explanation:

Because when we simply 4(x-5)/2

We multiply both sides by 2 because the inverse operations of division is multiplication. 2*4(x-5)*2/2 we cancel two by two then it leave us 4*2(x-5).

Next four times two is eight. So 8(x-5) we distribe eight that means eight times x and 5, 8x-40thos is the answer. Hope this help

Which situation involves permutations? A. choosing 5 people out of 15 to participate in a survey B. choosing 3 flavors of ice cream out of 15 for an ice-cream sundae C. choosing a dozen flowers out of 30 to create a bouquet D. choosing first second-, and third-place winners in a cooking contest​

Answers

9514 1404 393

Answer:

  D. choosing first second-, and third-place winners in a cooking contest​

Step-by-step explanation:

Permutations are involved when order matters. The order of people surveyed, sundae flavors, and flowers are irrelevant. The order of first-second-third is entirely relevant.

Cooking contest winners involve permutations.

Anna ate 1/5 of her candy bar. What decimal represents the amount she ate?

Answers

Answer:

.25

Step-by-step explanation:

.20 because 20 goes into 100 5 times

6. Johanna buys a shirt for s dollars to sell in her clothing
store. She
increases the price by 7.5% Write an
expression to represent the new price of the shirt.

Answers

Answer: 1.075s

Step-by-step explanation:

s*175/100=1.075s

You are playing a game where you draw a card from a standard deck, and you will win $13 if you draw a face card,
$3 if you draw an ace and lose $5 if you draw any other card. What is the expected gain from this game?

Round your final answer to the nearest cent.

Answers

Answer:

Step-by-step explanation:

win

There are 3 face cards / suit. Every suit contains a Jack, Queen, and king.

There are 4 suits so the number of face cards is 3*4 =  12

There is 1 ace / suit

There are 4 suits so the number of aces is 1 * 4 = 4

The gain from the face cards = 12 * 13 = 156

The gain from the aces = 4 * 3 =               12

Total gain = 168

Losses

Any other card costs you $5

How many cards is that? 52 - 16 = 36

Each one costs 5 dollars

Total loss = 5 * 36 = 180

So each time you play the game, you can expect to lose 180 - 68 = 12 dollars. You should walk away quickly from this one.

Write the ratio as a ratio of whole numbers using fractional notation.
45 days to 24 days
The ratio of 45 days to 24 days can be written in fractional form as
(Type the ratio as a simplified fraction.)

Answers

Answer:

15:8=15/8

Step-by-step explanation:

45:24=45/24

15/8=15:8

Select the correct answer from each drop-down menu.

The graph of g(x) is shown.



The graph of h(x) = g(x + 5) has
and
.

Answers

The function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

What is the function?

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

Given that, h(x)=g(x+5.

Horizontal asymptote (HA) - It is a horizontal line and hence its equation is of the form y = k.

Vertical asymptote (VA) - It is a vertical line and hence its equation is of the form x = k.

Here, the horizontal asymptote is 3, and the vertical asymptote is -2

The graph of h(x) = g(x+5) had a horizontal asymptote at y=5 and the same vertical asymptote as function g(x).

Therefore, the function h(x) has a horizontal asymptote at y=5 and the  vertical asymptote is x=-2.

To learn more about the function visit:

https://brainly.com/question/28303908.

#SPJ2

Is ( - 1, 2) a solution of the system y > x and x + y > 0?
O No, because ( - 1, 2) is a solution to only one of these inequalities.
O Yes, because ( – 1, 2) is a solution to both inequalities.
O Yes, because ( - 1, 2) is the point of intersection of the two boundary lines of this system.
No, because ( – 1, 2) is not a solution to either inequality.

Answers

Answer:

Yes, because (-1,2) is a solution to both inequalities

Step-by-step explanation:

2>-1 so the first inequality is correct

-1+2>0 so the second inequality is correct

essential skills test ,The cost of a haircut is $23. How much do 3 haircuts cost?

Answers

Answer:

$69 is correct

hope this helps

Answer: $69

Step-by-step explanation:

multiply 23 and 3

What is the slope of the line between the points ( 2 , 7 ) and ( 7 , 1 )?

Answers

Answer:

slope = - [tex]\frac{6}{5}[/tex]

Step-by-step explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (2, 7 ) and (x₂, y₂ ) = (7, 1 )

m = [tex]\frac{1-7}{7-2}[/tex] = [tex]\frac{-6}{5}[/tex] = - [tex]\frac{6}{5}[/tex]

Hello there! :)

To find the slope of the line when we are given 2 points, we use the following formula:

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

m=[tex]\frac{1-7}{7-2} \\\frac{-6}{5}[/tex]

So the slope is -6/5. Hope this helps!

~Just a cheerful gal

#CarryOnLearning

[tex]MysteriousNature :)[/tex]

Will be giving brainliest! Have a good day and you’ll get through it !

Answers

Answer:

ok you to !!!!!!!!! good night!!

Step-by-step explanation:

PLEASE HELP! Economics

Answers

100 francs = 50 dollars

Exchange rate = 50/100

= 1/2

= 0.50 dollars per franc (C)

Note :-

It's dollars per franc because here the dollar has more value.

______

RainbowSalt2222 ☔

Answer:

Im pretty sure it is c

Step-by-step explanation:

Can you help me please I will mark the BRAINLIEST ​

Answers

Answer:

c.7203

d.26244

Step-by-step explanation:

please mark me as brainliest

Answer:

[tex]3 \times 7 \times 7 \times 7 \times 7 = 3 \times {7 }^{4} = 7203[/tex]

[tex]2 \times 9 \times 9 \times 2 \times 9 = {2}^{2} \times {9}^{4} = 26244[/tex]

What is m + 5n where m = 1 and n = 5?

CHOOSE THE RIGHT ANSWER:
A. 26
B. 52
C. 25
D. 62

HELP! (T^T)​

Answers

Answer:

A. 26

Step-by-step explanation:

substitute the number in for the variables (letters).

[tex]m + 5n \\ \\ 1 + 5(5) \\ 1 + 25 \\ 26[/tex]

please help me w my khan academy

Answers

Answer:

in armed forces is .15%

military dependant is 3%

and civilian is 96%

Step-by-step explanation:

hope this helps! ❄︎

If h(x)=5x+7, then h(x) has a zero at which of the following values?
(1) -5
(2) 7
(3) -1.4

Answers

Answer:

Step-by-step explanation:

0 = 5x + 7

-7 = 5x

x = - 7/5 = -1.4

Answer:

-1.4

Step-by-step explanation:

h(x)=0=5x+7

or, 5x= -7

x= -7/5= -1.4

1 32 multiplied by 0.32 when rounded to the nearest hundredths

Answers

Answer:

42.20

Step-by-step explanation:

132 ×0.32

=42.24

rounded off it give 42.20


Help help help help help

Answers

Answer:

  x = 42

Step-by-step explanation:

The marked angles are supplementary, so their sum is 180°.

  (2x +8) +(2x +4) = 180

  4x +12 = 180 . . . . . . . . . simplify

  x +3 = 45 . . . . . . . divide by 4 (because we can)

  x = 42 . . . . . . subtract 3

_____

Additional comment

A "two-step" linear equation like this one is usually solved by subtracting the unwanted constant, then dividing by the coefficient of the variable. Here, we have done those steps in reverse order. This makes the numbers smaller and  eliminates the coefficient of the variable. Sometimes I find it easier to solve the equation this way.

Ryan drove 205 miles in 5 hours. If he drove at a constant rate, how far did he travel in one hour?

Answers

Answer: 41 miles

Step-by-step explanation:

Answer:

41 miles

Step-by-step explanation:

41 miles in a hour rate.

Unit 4: Congruent Triangles
bimo
Homework 5: Proving Triangles Congruent:
SSS & SAS

Answers

Answer:

SSS:

Draw a triangle with sides of 2 cm, 3cm and 4cm and another one of 4cm, 6cm and 8 cm. Both will be SSS congruent.

SAS:

Draw a triangle with sides of 2 cm, 3 cm and another side of your choice. The angle between sides of 2 and 3 cm is 30 degrees. Now draw a triangle with sides of 4 cm, 6cm and another side of your choice (but this one cannot be the double of the 3rd side of the first triangle!) . The angle between the sides of 4 cm and 6 cm should be 60 degrees. Now you have 2 SAS congruent triangles.

Differential Equation

Answers

1. The given equation is probably supposed to read

y'' - 2y' - 3y = 64x exp(-x)

First consider the homogeneous equation,

y'' - 2y' - 3y = 0

which has characteristic equation

r² - 2r - 3 = (r - 3) (r + 1) = 0

with roots r = 3 and r = -1. Then the characteristic solution is

[tex]y = C_1 e^{3x} + C_2 e^{-x}[/tex]

and we let y₁ = exp(3x) and y₂ = exp(-x), our fundamental solutions.

Now we use variation of parameters, which gives a particular solution of the form

[tex]y_p = u_1y_1 + u_2y_2[/tex]

where

[tex]\displaystyle u_1 = -\int \frac{64xe^{-x}y_2}{W(y_1,y_2)} \, dx[/tex]

[tex]\displaystyle u_2 = \int \frac{64xe^{-x}y_1}{W(y_1,y_2)} \, dx[/tex]

and W(y₁, y₂) is the Wronskian determinant of the two fundamental solutions. This is

[tex]W(y_1,y_2) = \begin{vmatrix}e^{3x} & e^{-x} \\ (e^{3x})' & (e^{-x})'\end{vmatrix} = \begin{vmatrix}e^{3x} & e^{-x} \\ 3e^{3x} & -e^{-x}\end{vmatrix} = -e^{2x} - 3e^{2x} = -4e^{2x}[/tex]

Then we find

[tex]\displaystyle u_1 = -\int \frac{64xe^{-x} \cdot e^{-x}}{-4e^{2x}} \, dx = 16 \int xe^{-4x} \, dx = -(4x + 1) e^{-4x}[/tex]

[tex]\displaystyle u_2 = \int \frac{64xe^{-x} \cdot e^{3x}}{-4e^{2x}} \, dx = -16 \int x \, dx = -8x^2[/tex]

so it follows that the particular solution is

[tex]y_p = -(4x+1)e^{-4x} \cdot e^{3x} - 8x^2\cdot e^{-x} = -(8x^2+4x+1)e^{-x}[/tex]

and so the general solution is

[tex]\boxed{y(x) = C_1 e^{3x} + C_2e^{-x} - (8x^2+4x+1) e^{-x}}[/tex]

2. I'll again assume there's typo in the equation, and that it should read

y''' - 6y'' + 11y' - 6y = 2x exp(-x)

Again, we consider the homogeneous equation,

y''' - 6y'' + 11y' - 6y = 0

and observe that the characteristic polynomial,

r³ - 6r² + 11r - 6

has coefficients that sum to 1 - 6 + 11 - 6 = 0, which immediately tells us that r = 1 is a root. Polynomial division and subsequent factoring yields

r³ - 6r² + 11r - 6 = (r - 1) (r² - 5r + 6) = (r - 1) (r - 2) (r - 3)

and from this we see the characteristic solution is

[tex]y_c = C_1 e^x + C_2 e^{2x} + C_3 e^{3x}[/tex]

For the particular solution, I'll use undetermined coefficients. We look for a solution of the form

[tex]y_p = (ax+b)e^{-x}[/tex]

whose first three derivatives are

[tex]{y_p}' = ae^{-x} - (ax+b)e^{-x} = (-ax+a-b)e^{-x}[/tex]

[tex]{y_p}'' = -ae^{-x} - (-ax+a-b)e^{-x} = (ax-2a+b)e^{-x}[/tex]

[tex]{y_p}''' = ae^{-x} - (ax-2a+b)e^{-x} = (-ax+3a-b)e^{-x}[/tex]

Substituting these into the equation gives

[tex](-ax+3a-b)e^{-x} - 6(ax-2a+b)e^{-x} + 11(-ax+a-b)e^{-x} - 6(ax+b)e^{-x} = 2xe^{-x}[/tex]

[tex](-ax+3a-b) - 6(ax-2a+b) + 11(-ax+a-b) - 6(ax+b) = 2x[/tex]

[tex]-24ax+26a-24b = 2x[/tex]

It follows that -24a = 2 and 26a - 24b = 0, so that a = -1/12 = -12/144 and b = -13/144, so the particular solution is

[tex]y_p = -\dfrac{12x+13}{144}e^{-x}[/tex]

and the general solution is

[tex]\boxed{y = C_1 e^x + C_2 e^{2x} + C_3 e^{3x} - \dfrac{12x+13}{144} e^{-x}}[/tex]

1) Company A charges $55 per hour and a service charge of $250 and Company B charges $60
per hour and a service charge of $225. At what time are they equal?

Answers

Answer:

5 hours

Step-by-step explanation:

a college student is saving money to buy a laptop. the student has $85 saved and saves $35 each week. The function a(t)=35t + 85 represents the amount of money the college student has saved for the laptop after t weeks. The student receives $50 as a birthday gift .
If the function f(t) = a(t) +50 represents the total amount the student has saved , which best describes the transformation from a(t) to f(t)?

Answers

Answer:

B a vertical translation 50units right

maya picks 16 vegetables 6 of them are carrots the rest are cucumbers then she gives away 5 cucumbers how many cucumbers does maya have now

Answers

Answer:

5

Step-by-step explanation:

First subtract 6 from 16 to find how many cucumbers she has,

16 - 6 = 10

Now we know she has 10 cucumbers.

Subtract 5 from the 10 cucumbers to find out how many she has after giving away 5.

10 - 5 = 5

After subtracting the 5 cucumbers she gave away, we are left with 5

This means Maya has 5 cucumbers now

Which is greater, -6.4 or -6.5? please explain !!

Answers

Answer:

-6.4 is GREATER.

The number closest to 0 is greater.

Other Questions
hi, guys, alguien para hablar? (wt.f no se como se dice eso en ingles.-.) Solve the slope for the table. PLS HELP ME! I AM HORRIBLE AT MATH A 150-pound person uses 4.8 calories per minute when walking at a speed of 4 mph. How long must a person walk at this speed to use at least 250calories? In "Childhood and Poetry," what main insight did Neruda gain from his experience with the boy next door? Assessor most nearly meansA criminal.B jeweler.C companion.D appraiser. Most elements are ____________. The _____________ elements on the left of the stair-step line on the ______________ of Elements are metals or metal-like _____________. Some of the physical properties of metals are ______________ (shininess) and ___________ density. They are also good conductors of ___________ and ______________. Metals can be hammered into __________sheets. Without proper synchronization, which is possible, a deadlock, corrupted data, neither or both? Give reasons for your answer. need answer pls helpp I'll give brainliest smthWhy there has to be a driving force to keep the car moving at a constant speed? click on the link i need help how many official time zones are there in the world Indicater I need the meaning a metal wire has a resistance of 13.00 at a temperature of 25.0 degree celsius PLEASE HELP ILL MARK BRAINLIEST ASAP AND NO LINKS PLEASE A gardener bought 5 rabbits. Which value is FURTHEST from 0 on the number line?20-21|20.5||-21.5| Give me some tips for the Shsat that is tomorrow. The influence that a group has on the judgment of an individual is called a. the Milgram effect. b. Rosenthal effect c. the Asch effect. d. social influence effect. Which is the best example of evacuating? listening to emergency news reports about dangerous situations storing clean water, non-perishable food, and batteries before a dangerous situation happens packing a first-aid kit, portable radio, and camp stove to be ready at a moment's notice leaving an area quickly when a dangerous situation develops How did the Quakers get their name?