Find the product of (x - 3)2

Answers

Answer 1

(
x

3
)
2
=
(
x

3
)
(
x

3
)
From here we can just FOIL; first, outer, inner, last. Multiply the first term in the first bracket (x), by the FIRST term in the second bracket (x), giving us
x
2
. Then, we multiply the outermost term on the left side by the OUTERmost on the right side, giving us

3

x
, equal to

3
x
. We then multiply the INNERmost terms together, which are again -3 and
x
, giving us

3
x
again. Finally we multiply the LAST term in the first bracket by the last term of the second, giving us

3


3
, or 9. Then, we simply write these out, in order:
x
2

3
x

3
x
+
9
Collect like terms:
x
2

6
x
+
9
And you're done!
Answer 2

Answer:

2x - 6

Step-by-step explanation:

Use distributive property.

(x - 3)2 = 2x - 6


Related Questions

a car travels a distance of 50 km in 30 minutes. what is the average speed​

Answers

Answer:

100 km/hour, or 16.67 km/minute

Step-by-step explanation:

name the property of: 3x + 2=2 + 3x

Answers

Commutative property of addition

Guided Practice


Find the slope and y-intercept of the equation.y=[tex]\frac{2}{3}[/tex]x+1


A.
1 ; [tex]\frac{2}{3}[/tex]


B.
23; 1


C.
23; −1

Answers

Answer:  B. 2/3; 1

Use the slope-intercept form  y  =  m  x  +  b  to find the slope  m  and y-intercept  b .

Slope:  

(2) /(3)

y-intercept:  

( 0 ,  1 )

Step-by-step explanation:

Find the slope and y-intercept of the equation. y = (2)/(3)x + 1

Find the Slope and y-intercept

Can Somebody help me real fast?

Answers

(2x+11)+(5x+1)=180
7x+12=180
7x=168
x=24

See attached an good explaination would be appreciated

Answers

Answer:

Y=X

Step-by-step explanation:

It depends on the context. No number besides 0 is given, so it can't really be the other ones with numbers.

Which statement is true about the data sets of two sets of quiz scores?
Sample A: 5, 5, 5, 5, 5 Sample B: 2, 2, 2, 2, 17
Select one:

Samples A and B have the same mean, but Sample A has a smaller median than Sample B.

Samples A and B have the same median, but Sample A has a larger mean than Sample B.

Samples A and B have the same median, but Sample A has a smaller mean than Sample B.

Samples A and B have the same mean, but Sample A has a larger median than Sample B.

Answers

Answer: Samples A and B have the same mean, but Sample A has a larger median then Sample B.

Step-by-step explanation:

The median is the middle number in the sequence.

To find the median, place the numbers in order. Then take away, or cross out, one number from each side. Keep going until you are down to one or two numbers. If there is only one number left, that’s your median. If two, add the numbers together and divide by 2.

The mean is the average. To get the mean you add up all the values and subtract that sum by how many numbers there are in the sequence.

Option D is correct for the given conditions, Samples A and B have the same mean, but Sample A has a larger median than Sample B.

What are measures of central tendency?

The descriptive summary of a data set is known as the central tendency in statistics. It reflects the center of the data distribution through the use of a single number from the dataset. Additionally, it only provides a summary of the dataset rather than information on specific data within the dataset. In general, several statistical metrics can be used to determine a dataset's central tendency.

Given  the data sets of two sets of quiz scores,

Sample A = 5, 5, 5, 5, 5

sample B = 2, 2, 2, 2, 17

mean is the average of total samples,

mean of sample A = (5 + 5+ 5 + 5 + 5 )/5

mean of sample A = 5

Mean of sample B = (2 + 2 + 2+ 2 + 17)/5

mean of sample B = 5

since the mean of both sample are same,

median is the central digit of sets

median of A is 5 and the median of B is 2,

so the median of sample A is larger than sample B.

Hence option D is correct.

Learn more about  central tendency;

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Steve is playing a carnival game. He wants to win a prize, but he thinks he has about a 20% chance of winning. He uses the expression 0.2t to calculate the number of games he will need to play in order to win a prize.

If he plays the game 12 times, about how many times can he expect to win?

Answers

Answer:50%

Step-by-step explanation:

Steve's expected times of winning in 12 trials is about 2 times.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

The winning chance of Steve is 20% or 0.2.

We know, We know The expected value, also known as the expectation, average, is a generalization of the weighted average in the field of probability theory.

Informally, the anticipated value is the arithmetic mean of a significant number of outcomes of a random variable that were independently chosen.

Therefore, If he plays the game 12 times the number of times he is expected to win is,

= 12×0.2.

= 2.4 Or 2 times.

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Please help answer correctly !!!!!!!! Will mark Brianliest !!!!!!!!

Answers

Answer:

Step-by-step explanation:

(4,3) and (6,9)

difference of x-coordinates = 6-4 = 2

difference of y-coordinates = 9-3 = 6

distance between points = √(2²+6²) = √40 = 2√10

Mike pays $8,000 in property taxes, but receives a 28% tax deduction for it. What is Mike’s net expense for property taxes

Answers

Answer:

$5760

Step-by-step explanation:

Given data

Principal= $8,000

Tax= 28%

Let us compute 28% tax deduction

=28/100*8000

=0.28*8,000

=$2240

Hence the net expenses is

=8000 -2240

=$5760

i have 8 boxes of chocolate i eat 3 chocolates from each box i now have 72 chocolates in total

Answers

Answer: there were 12 chocolates in each box. (Originally, before any got eaten)

Step-by-step explanation: let x represent the total amount of chocolates in each box.

8x - 3(8) = 72

8x - 24 = 72 add 24 to both sides

8x = 96 divide both sides by 8

X = 12

Answer:

That means you had 48 chocolates in each box

Step-by-step explanation:

Since you eat 3 chocolates from all 8 boxes, you do this:

8 x 3 which = 24

Now since you have 72 chocolates left you do this:

72 - 24 which = 48

So, therefore, there were originally 48 chocolates in each box

(Don't eat so much chocolate lol you could get sick)

12y+15=24-6y ??????????????????

Answers

Answer:y=1/2

Step-by-step explanation:

Scarlett and Alyssa work at a dry cleaners ironing shirts. Scarlett can iron 15 shirts per hour, and Alyssa can iron 35 shirts per hour. How many total shirts would be ironed between the two workers if Scarlett worked 5 hours and Alyssa worked 10 hours on a given day? How many total shirts would be ironed between the two workers if Scarlett worked x hours and Alyssa worked y hours on a given day?

Answers

Answer:

25x + 35(2x) = 380

25x + 70x = 380

95x = 380 so

x = 4

then i think that mean it might be 8 then im not completly sure

Can somebody solve this

Answers

Answer:

A

Step-by-step explanation:

Hope this will help

Answer:

I think so it is option A)

I hope this might help u

What is the GCF of 4x^ 2 +6x

Answers

Answer:

The GCF of 4x^2 + 6x

is. (2x )

hope it helps

2x

The answer is 2 because it just it

help pls ...........

Answers

Answer:

54

Step-by-step explanation:

Answer:

54

Step-by-step explanation:

Hope this helps:)

This is the pond in a shape of a prism, it is completely full of water. Colin uses a pump to empty the pond. The level goes down by 20cm in the First 30min Work put how many minutes Colin has to wait for the pond to completely empty

Answers

Answer:

150 minutes

Step-by-step explanation:

P.S - The exact question is -

Given - This is the pond in a shape of a prism, it is completely full of

             water. Colin uses a pump to empty the pond. The level goes

             down by 20 cm in the first 30 min.

To find - Work put how many minutes Colin has to wait for the pond

               to completely empty.

Proof -

Given that,

Height of prism = 1 m

Also,

Base of the prism is trapezium and

Sides of the trapezium are 0.6 m and 1.4 m

Height of trapezium is 2 m

We know that,

Area of trapezium = [tex]\frac{1}{2}[/tex]× (sum of sides)× height

                             =  [tex]\frac{1}{2}[/tex]× (0.6 + 1.4)× 2

                             =  [tex]\frac{1}{2}[/tex]× (2)× 2

                             =  2 m²

⇒Area of trapezium = 2 m²

Now,

Volume of prism = Area of trapezium × height of prism

                          = 2 m² × 1 m

                          = 2 m³

⇒Volume of prism = 2 m³

Now,

Given that the level goes down by 20 cm in the first 30 min

We know

100 cm = 1 m

⇒1 cm = [tex]\frac{1}{100} m[/tex] = 0.01 m

⇒20 cm = 20×0.01 m = 0.2 m

⇒The level goes down by 0.2 m in the first 30 min.

Also,

we know that height of water = height of prism = 1 m

So, the remaining water left in the pond = 1 m - 0.2 m = 0.8 m

Also,

Volume of Remaining water = Area of trapezium × height

                                           = 2 m² × 0.8 m

                                           = 1.6 m³

⇒Volume of Remaining water = 1.6 m³

Now,

Volume of emptied water = Total Volume - Volume of Remaining water

                                       = 2 m³ - 1.6 m³

                                       = 0.4 m³

⇒Volume of emptied water = 0.4 m³

Now,

0.4 m³ water will be empty in 30 minutes

⇒ 1 m³ water will be empty in [tex]\frac{30}{0.4}[/tex] = 75 minutes

⇒1.6 m³ water will be empty in 1.6 × 75 = 120 minutes

∴ we get

The remaining water is empty in 120 minutes

So,

Total pond is empty in 120 + 30 minutes

⇒Total pond is empty in 150 minutes

Henry walked 3 miles and Sasha walked 12 miles.
Sasha says she walked 9 more miles than Henry.
Henry says that Sasha walked 3 times as many miles as he walked. Who is correct?

Answers

Sasha because Sasha didn’t run 9 miles

PLZ PLZ PLZ PLZ HELP​

Answers

It is -1/8
You are welcome

Answer: -1/8 OR -0.125, -2^-3

Step-by-step explanation:

1.
Prove that the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k​

Answers

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

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What do I do I don’t know the answer

Answers

Answer:

B) 114.511m^3

Step-by-step explanation:

Formula of a cylinder is πr^2 x h

r = radius (half of diameter)

h = height

Since it is 3/4 full you only do 3/4 of the height so- 0.75 x 9.60 which equals 7.2

Half of the diameter is 2.25. 2.25^2 = 5.0625.

The volume of the cylinder = 5.0625π x 7.2

By solving this, you will get approximately 114.511 m^3 as your answer.

A shirt that normally costs $19.99 is on sale for 15% off. How much does the shirt cost after the discount? $22.99 $19.99 $16.99 $24.50

Answers

Answer:

C. $16.99

Step-by-step explanation:

The shirt cost after the discount will be $16.99. thus option C is correct.

How to calculate the third party discounts?

Third party discount is the multiplication result of the maturity value of the original rate to the rate of interest and time period.

Thus, we get:

Third party discount = Maturity value × R × T (R in decimal form).

We have been given that a shirt that normally costs $19.99 is on sale for 15% off. we are asked to find the discount on the shirt.

Therefore,

19.99 x 15/100

19.99 x 0.15 = 2.99

Then subtract from the total amount;

19.99 - 2.99 = 16.99

Therefore, the  shirt cost after the discount will be $16.99. thus option C is correct.

Learn more about proceeds here:

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Eight more than seven times a number is -20

Answers

Answer: The number is 0

Step-by-step explanation:

8 = 7x + 8

Then we solve it:

8 = 7x + 8

8 - 8 = 7x

0 = 7x

0 ÷ 7 = x

x = 0

hope this helps have a nice day

given X= -7 what is the value of the following expression 4(X-5)+2

Answers

Answer: -46

Step-by-step explanation: Place -7 into the equation. 4(-7-5)+2= 4*-7=-28,-4*5=20. Negative 28 minus 20 is -48. Negative 48 + 2 is -46.

The picture explains the problem and how to do it it also includes the answer which is (-46)

Pls help I’ve tried everything and nothing is helping me lol. 25 points

Answers

Answer: Is this the whole question if not i can edit later and answer once i get it all?

Suzy makes 20 dollars an hour at her job. Bill only makes 10 dollars an hour but he has a starting bonus of 20. When will Suzy and Bill make the same amount of money for the same number of hours worked? How much will they both earn at the same time?

Answers

Answer:

2 hours

Suzy would earn $40

Bill will earn $40

they will both earn $80

Step-by-step explanation:

The total amount suzy earns is a function of the total hours worked. Let t represent time

total income of suzy = $20t eqn 1

Bill's income = starting bonus + variable pay

= $20 + $10t

We are looking for when they would earn the same amount :

20t = $20 + $10t  eqn 2

collect like terms and solve for t

10t = $20

t = 2 hours

Substitute for t in either eqn 1 or 2

20(2) = $40

Suzy would earn $40

Bill will earn $40

they will both earn $80

HELP PLZ PLZ PLZ PLZ

IT IS A PIC

Answers

Answer:

A

Step-by-step explanation:

just count lol

it's 14 cubic units.

HI GUYS PLEASE HELP WILL MARK YOU BRAINLIEST IF YOU HELP!! Distribute & combine like terms

Answers

Answer:

1: 25c+10

2: 29a+18b

3: -2b+24n+11-12m

4: 23m+10

5: 8x+3y+16

Sarah is having people over for her birthday party. If she orders 4 pizzas for 15 people, how many should she order for 30 people?

Answers

Answer: 8

Step-by-step explanation:

Answer: 8 pizzas.

Step-by-step explanation:If she is ordering 4 pizzas for 15 people then that simply means that the fraction is 4/15, 15*2 is 30, so that means that our next fraction (Equivalent fraction) will be like this 4/15 = -/30. What ever. Happens to the numerator must happen to the denominator and vice versa. So 4*2 is 8. So the answer is 8.

Elena goes for a long walk this graph shows her time and distance traveled throughout the walk what was her fastest speed in miles per hour

I'LL GIVE BRAINLIEST IF YOU HELP ME​

Answers

Answer:

she walked the fastest around the 2 hour mark and she walked 4 miles per hour

Step-by-step explanation:

This slope is the steepest if we count it, and it comes out to 4 miles per hour.

Thanks for Brianliest :D

write an exponential function to describe the given sequence of numbers
2, 4, 8, 16, 32


the correct answer is HIGHLY appreciated, ill give brainliest if its *correct*​

Answers

Answer:

The next one is 64. Can you mark branliest if it's right?

Answer:

F(x) = x^1 * 2

Step-by-step explanation:

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