Expand and simplify [tex] (3x-2)^{2} [/tex]

Answers

Answer 1

You can just 1) multiply the binomial by itself, or you can use 2) the square of a binomial pattern. I'll show it to you both ways.

1) Multiply the binomial by itself.

(3x - 2)^2 = (3x - 2)(3x - 2) =

Multiply every term of the first binomial by every term of the second binomial, then collect like terms. (This is often called using FOIL.)

= 9x^2 - 6x - 6x + 4

= 9x^2 - 12x + 4

2) Use the square of a binomial pattern

The square of a binomial is

(a - b)^2 = a^2 - 2ab - b^2

a^2 is the square of the first term.
b^2 is the square of the second term.
-2ab is the product of the two terms and 2.

You have

(3x - 2)^2,
where the first term is 3x, and the second term is -2

square the first term: 9x^2
square the last term: 4
the product of the terms and 2 is: -12x

Put it all together, and you get

9x^2 - 12x + 4

just like we got above with the other method.

Related Questions

6•10^5 is how many times as large as 3•10^3

Answers

200 times greater because you take 6*10^5 and you get 600,000 then you find out 3*10^3 and it equals 3,000 so you take 600,000 and divide it by 3,000 and you get 200 and that is how many times greater it is.

Express 4 8/9 as an improper fraction

Answers

the answer to the question is 44/9

Hector planted 185 flowers in 2 days.there were 5 volunteers,including Hector, who each planted about the same number of flowers. About how many flowers did they plant?

Answers

925 in 2 day that right

Answer: They planted 925 flowers.

Step-by-step explanation:

Given : Hector planted 185 flowers in 2 days.

There were 5 volunteers,including Hector, who each planted about the same number of flowers.

Then, the number of flowers they planted is given by :-

Number of volunteers x Flower planted by each volunteer

=[tex]5\times185=925[/tex]

Hence, They planted 925 flowers.

ted won 41 pieces pf gum playing basketball the country fair.at school he gave two to every students in his math class.he olny have 9 remaining.how many student are in the class

Answers

16 students are in his class.

x=number of students
2x+9=41
2x=32
x=16
There are 16 students in the class.

4 groups of 6= 3 groups of___?

Answers

Hello!

4 • 6 = 24

24/3 = 8

So, 4 groups of 6 = 3 groups of 8.

I really hope this helped you out! :)

If you have 8/12 of a pizza, how many thirds do you have?

Answers

You would have 2/3 because 4 can go into the numerator 2 which makes the numerator of your answer 2, then 4 goes into 12 4 Times which makes the denominator of your answer which is 3 so 2/3

You have two thirds in 8/12

Jackie had $135 to spend at the mall. She spent 29% of that money on a dress. Jackie spent $___ on the dress.

Answers

135 x 0.29 = 39.15; $39.15

Hope this helps,
♥Nikki♥

So here is a better explanation

?/135 = 29%/100

100? = 135 x 29 = 3915

100?/100 = 3915/100 = 39.15

Jackie spent 39.15$

explain how it to use linear factors to determine the equation of a polynomial function

Answers

Since linear factors can be written as (x-a)*(x-b) with a and b as the solutions, we can do it in two ways. First, we can use the quadratic equation. In an equation ax²+bx+c=0, the solutions are
[tex]x= \frac{-b+- \sqrt{ b^{2}-4*a*c} }{2*a} [/tex] with the +- meaning that you can have one solution (a) by adding and (b) by subtracting.

Next, in ax²+bx+c=0, we want to add b up to have dx+zx=bx as well as (d*z)=(c*a). For example, in 6x²+2x-4, we have 6*-4=-24. We have to find 2 numbers that add up to 2 but multiply to 24 - -4 and 6 work. Therefore, we have 6x²+6x-4x-4. Factoring it out, we have 6x(x+1)-4(x+1). Since x+1 is the same in both, we have the equation being (6x-4)(x+1) as the factorization

How many three-letter "words" can be made from 5 letters "FGHIJ" if repetition of letters is not allowed?

Answers

There are 60 different three-letter "words" that can be made from the letters F, G, H, I, and J without repetition of letters. This can be calculated as a permutation of 5 choices for the first letter multiplied by 4 for the second and 3 for the third, resulting in 5 x 4 x 3 = 60 possible arrangements.

The question asks how many different three-letter "words" can be made from the five distinct letters F, G, H, I, and J, given that repetition of letters is not allowed. This is a problem of calculating permutations, where a permutation is an arrangement of all or part of a set of objects, with regard to the order of the arrangement. For each letter position in a three-letter word, we choose a different letter from the five available, without repeating.

For the first letter, there are 5 choices (F, G, H, I, J). Once we have chosen the first letter, there are 4 remaining choices for the second letter. After choosing the first two letters, there are 3 choices left for the third letter. To find the total number of permutations, we multiply these choices together: 5 choices for the first letter x 4 choices for the second letter x 3 choices for the third letter, which equals 60. Therefore, there are 60 different three-letter words that can be made from the letters F, G, H, I, and J without repetition.

Somebody plz help me?!

Answers

The fewest gluesticks Martha can buy are 3.

This is because 3x10=30 (scissors)
And you get the same answer for gluesticks 10x3=30.

what number is 2 units left of -7 on a number line?

Answers

This like subtracting, if you move to units to the left then it would be -5.

what is 2,117 divided by 3

Answers

Hello There!

You're answer is 705.6666667.

Hope This Helps You!
Good Luck :)

- Hannah ❤

The answer is 705.666666667
Hope this helps. :)

I WILL GIVE BRAINLIEST to who answers this question correctly.

Answers

You start counting from 0 onwards:

C = 6
D = 8

Then C x D = 48

So the product CxD is situated at 48 units from 0

Jaces dad drives 605 miles in 11 hours

Answers

I'm not sure what the question is but, I'm guessing you are trying to find out how many miles are driven per hour.

To determine how many miles are driven per hour, you would divide the total number of miles driven by the total number of hours it took to drive it.
605 ÷ 11 = 55mph

Jace's dad drove 55 miles per hour.

I hope this helps!

What is the value of the function y = 2x + 3 ⁢when x=−1 ?

A. 5

B. 2

C. 1

D. −5

Answers

It would be C. Hope this helps

Please help me with math please, they are number lines.

Answers

The answer is D because the inequality solves to x>/= to -4

To solve this you need to get x by itself, so to do this you simply subtract 3 from each side of the equation making it...

x >= -4

The arrow points to the right meanings that on the graph the arrow will go towards the right.

You could also think about it that x is greater than or equal to -4, so the arrow will be going towards the positive numbers from -4 meaning the arrow will go towards the right.

Also since it is greater than or equal to the circle will be a solid, filled in circle.

D is the answer

Hope this helps!

Mrs Kipling ordered flowers for centerpieces.She ordered 168 flowers.She needs to put 15 flowers in a vase for 14 tables.Does Mrs.Kipling have enough flowers for 14 tables? Explain why or why not.

Answers

Hello! Mrs. Kipling order 168 flowers, and she needs to put 15 flowers in each vase for 14 tables. To find out if she has enough for 14 tables, let's multiply 15 (the amount needed for each vase) by 14. 15 * 14 is 210. 210 > 168. No. Mrs. Kipling does not have enough flowers for 14 vases.

Sam earned $450 during winter vacation. He needs to save $180 for a camping trip over spring break. He can spend the remainder of the money on music. Write an inequality to show how much he can spend on music.

Answers

180 greater than or equal to 450 - m

The base of a triangle is 3cm greater than the height. The area is 14cm. Find the height and base of the triangle.

Answers

the base....b
the height....h
b*h/2=14
b=h+3
h*(h+3)=28
h*(h+3)=4*7
h=4 cm , b=7 cm

Hello There!

base x height/2 = 14
base x height = 28
Base - height = 3
Base = 7
Height = 4.

Hope This Helps You!
Good Luck :)

- Hannah ❤

Solve equation for Y and graph it.
5y-x=20

How do I go about solving and graphing this equation.

Answers

So what you first want to do is isolate y.

This could be done by first adding x to both sides:

5y - x + x = 20 + x

5y = x + 20

Then divide everything by 5.

y = 1/5x + 4

Now to graph this equation:

Slope intercept form is y = mx + b.

b would be the y intercept and m the slope.

So therefore you know that 4 is the y intercept.

So first just plot the point (0, 4), and then from there you can take the slope and graph it from there. So basically, the y goes up by 1/5 each time the x goes up by 1. So then you could graph it by looking at where 5 is on the x axis and then graphing one above 4 from there, if that makes any sense.

Let's worry about graphing this first: 5y-x=20

If you set x = 0, then y = 4, and the y-intercept is then (0,4).
If you set y = 0, then x = -20, and the x-intercept is (-20,0).

Plot these 2 pts and then draw a str. line thru them. Done!

If you wish to solve 5y-x=20 for y:

1) add x to both sides: 5y = 20
2) divide both sides by 5: y = 4

Solve for x:
5(x - 2) + 7 = 65 - 4(5x - 8)

Please help!

Answers

the answer is x=4 i hope i can help

Jill decides to move her fish from a 20 gallon aquarium to a 50 gallon aquarium. She added 3 tablespoons of salt to her old aquarium. If she wishes to maintain to same salinity level, how many tablespoons should she add to her new aquarium?

Answers

she would have to add 7.5 tablespoons of salt to keep a 15% salinity level

(2x) (4x^2 + 3)
A. 8x^2 + 3
B. 8x^3 + 6x
C. 8x^2 + 6x
D. 8x^3 + 3

Answers

The correct answer is B
(2x)(4x²+3)=

8x³ + 6x

$300 to $200 percent change
Can you show work too please? I am terrible at math.

Answers

you have 300 which changes to 200
if it was 300 to 150 that would be 50%
since 150/300=1/2
take 200/300=2/3 so about 66%

I absolutely love how this is a got-to website for kids who just need answers and work shown. like right now im in a math test and looking around.

Prime factorization of 84

Answers

Check my attached photo for the answer

Hello There!

Find factors of 84:
Factors of 84: 1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84.
Out of those, find the prime factors:
Prime factorization: 84 = 2 x 2 x 3 x 7
Simplify:
It can also be written 2² x 3 x 7.

Hope This Helps You!
Good Luck :)

- Hannah ❤

Simplify
| -3.9 | + | 3.9 |
A. -7.8
B. 0
C. 7.8
D. 8

Answers

It would be C) 7.8

When a negative number is inside the absolute value, it turns out to be positive number anyways so the equation is basically 3.9 + 3.9 = 7.8

Does the equation y = 3x - 12 show a proportional relationship between x and y? Explain

Answers

y = 3x represents a proportional relationship, whereas

y = 3x - 12 does not. What's the difference? No constant term, such as -12. Recognize direct proportion as being expressed as y = kx (no constant term).

solve the equation 5n + 5 = 45

Answers

5n+5=45

5n+5=45
-5 -5
5/5n=40/5
n=8

You subtract the numbers 5n=45-5 then divide both sides by 5n=40 and you get n=8

which expression is equivalent to 2^2×2/2^4

Answers

First step is to simplify the equation so that it makes our life easier! Since 2^2 is equivalent to 4, we can plug that into the equation. Then we can also simplify 2^4 to 16. Now it should look like this:

(4)(2)/16

Now we can solve. 4(2) = 8 so now we have 8/16. 8/16 simplifies to 1/8 when you divide the numerator and the denominator by 8. So there you go! Your final answer is 1/8! I really hope that helped you out, and happy holidays!

Javeon has 27 chocolate bars. he wants to share them with 5 friends. Write the problem as a fraction and then solve.

Answers

27 divided by 5 = 27 1/5

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