how to expand a using the distributive law

How To Expand A Using The Distributive Law

Answers

Answer 1

Answer:

2x(3x+5)+1(3x+5)

Step-by-step explanation:

The distributive law is the law that states that multiplying a number by a group of numbers is the same as doing each multiplication separately. Eg. A(B+C) =AB+AC

In the case of two sets of parenthesis it would look like:

2x(3x+5)+1(3x+5)

Which would give us:

6x^2 +10x +3x+5

6x^2+13x+5

The general format for 2 bracket ones would be:

(A+B) (C+D) =A(C+D) +B(C+D)

where the two terms in the first bracket go outside the second bracket twice individually because each term must be multiplied by all terms in the other bracket.

Hope this helped!


Related Questions

Write the following as a mixed number. ( use the / symbol in your answer).
3.7777777...

Answers

Answer: 3/7

Step-by-step explanation:

Answer:

3 7/9

Step-by-step explanation:

0.7777777777777777777777777 is 7/9, so 3.777777777777777777777777777 is 3 7/9.

The square root of 39 is between which two integers?

Answers

Answer:

6 and 7 sorry if im wrong

explanation of how a shape moves with the rule (x+4, y-2)

Answers

Answer:

it goes right 4 and down 2

Answer:

yes

Step-by-step explanation:

x+4=0

=x=-4

y-2=0

y=2

can someone help please?

Answers

Answer:

D

Step-by-step explanation:

3(4x-7)=27 i don't know what to do

Answers

Answer:

x = 4

Step-by-step explanation:

Given

3(4x - 7) = 27 ( divide both sides by 3 )

4x - 7 = 9 ( add 7 to both sides )

4x = 16 ( divide both sides by 4 )

x = 4

Answer:

x=4

Step-by-step explanation:

Distribute the 3 to the 4x and -7v

it will be 12x - 21= 27

you then take the 21 and add it to the 27 to isolate the 12x

it will be 12x = 48

to seperate the 12 from the x you divide on both sides so x/12 and 48/ 12

this will give you x= 4

IF YOU COULD HELP ME I'D BE SO GRATEFUL! (Giving out brainliest) The points​ A(0,5), B(4,2), and​ C(0,2) form the vertices of a right triangle in the coordinate plane. What is the equation of the line that forms the​ hypotenuse?

Answers

Step-by-step explanation:

The line that forms the hypotenuse includes line AB.

Gradient of line AB = Rise/Run = (5-2)/(0-4) = -3/4.

y = -3/4 * (x) + c

When x = 0, y = 5. Hence c is 5.

The equation is y = 5 - (3x/4).

A submarine dives below the surface, heading downward in two moves. If each move downward was 355 feet, where is the submarine after it is finished diving?

Answers

Answer: The submarine would be 710 feet below the surface after it is finished diving.

Step-by-step explanation:

Given: Each move downward was of 355 feet

If the submarine dives below the surface, heading downward in two moves.

Then, the total distance moved by submarine = 2 (355) feet

= 710 feet

Therefore, the submarine would be 710 feet below the surface after it is finished diving.

I need help please can someone help me !!!!!!

Answers

What are you trying to find? Area, Volume, Circumference, or perimeter?

4. Assume that you have a part-time job at which you work 20 hours per week at the rate
of $7.50 per hour (net of all payroll deductions). You are also required by your parents to
pay all your expenses, except rent and three meals a day, from those earnings. How much
per minute would you earn?

Answers

Answer:

0.125

7.50/60=1.25

since there 60 minutes in one hour you would divide the hourly rate by 60.

Least to greatest 3/4, 0.5 and 14/5

Answers

Answer
0.5, 3/4, 14/5
Reason
0.5 is half, aka 2/4
3/4 is .75
14/5 is a mixed number, like 2 and 4/5

Answer: 0.5, 3/4, 14/5

Step-by-step explanation:

(-2)+1 can someone help me​

Answers

Answer:

-1

Step-by-step explanation:

When you add a positive num to a negative number the negative number goes in the direction towards zero.

hope this helps you:)

if you make 1,000 dollars an hour and you need to make 28,600 to buy a home how many hours do you need to work (i NEED HELP NOW i will give 5 stars to the first person who answers

Answers

Answer:

28.6 hours or 28hours 36minutes

Step-by-step explanation:

1000dollars = 1 hour

What about 28,600 = ?

28600 × 1 hour = 28,600 hours

28,600 hours ÷ 1000 = 28.6 hours or 28 hours 36 minutes

4(2x-8)=3(2-3x) Pls tell Me what the answer is

Answers

Answer: X = 38/17

8x - 32 = 6 - 9x
8x = 6 - 9x + 32
8x = -9x + 38
8x + 9x = 38
17x = 38
X = 38/17

Decimal Form: 2.235294

A rectangle has sides that measure 2 x + 11 units long and 10 x + 1 units long. What is the expression that represents the perimeter of the rectangle?

Answers

Answer:

(24x + 24) units

Step-by-step explanation:

A rectangle is a shape that has four sides in which all angles are equal and opposite sides are equal and parallel to each other. The perimeter of a rectangle is the sum of all its sides. Since opposite sides are equal, the perimeter is given as:

Perimeter = 2(length + width)

Since the sides of the rectangle are 2 x + 11 units long and 10 x + 1 units long. Hence:

Perimeter = 2(2x + 11 + 10x + 1)

Perimeter = 2(2x + 10x + 11 + 1) = 2(12x + 12)

Perimeter = (24x + 24) units

Suppose B is between A and C. If AB = 7 and AC = 11, find BC.
A
7
С
B.
11
BC = 4
BC = 18
BC = 7
BC = 12

Answers

answer is BC=4

notice that the starting point is A and the endpoint is C, it stated that from A to B the value is 7 and from A to C the value is 11 we just need to subtract AC-AB to find the third value of it

AC-AB= 11-7 =4

Which of the following is most likely the next step in the series?

Answers

the answer would be b.
it’s most likely to the next step

The most likely next step in the series is Option B.

Option B is the correct answer.

What is a series of patterns?

A series of patterns is a sequence of related designs, shapes, colors, or other elements that follow a consistent and predictable order.

The patterns may repeat or vary in a systematic way, creating a sense of rhythm, symmetry, or harmony.

We have,

From the series of patterns, we see that,

The number of arrows is increasing in odd arithmetic numbers.

So,

1, 3, 5,

The next step must have 7 arrows.

And,

The color is alternated as:

Red, Blue, Red Blue.

So,

The next step in the series must be a blue color.

Thus,

The most likely next step in the series is Option B.

Learn more about a series of patterns here:

https://brainly.com/question/29192844

#SPJ7

find the answer to = d/4 < 16

Answers

Answer:

d < 64

.....................

Luke bought a new jacket using a 10% off coupon. He paid $12.93 total, which inclues $1.43 in tax.

Answers

Answer:

($14.37 was the original price)

Step-by-step explanation:

14.37 $ would be the original price and that is all

A vehicle factory manufactures cars. The unit cost (the cost in dollars to make each car) depends on the number of cars made. If cars are made, then the unit cost is given by the function . What is the minimum unit cost? Do not round your answer.

Answers

Answer:

The function is missing in the question. The function is [tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

The answer is 4930

Step-by-step explanation:

Unit cost of a car is given as

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

Cost will be minimum when

x = -(-544)/ 2 x 0.8

  = 340

Therefore, minimum cost for unit car is

[tex]$ C(x) = 0.8x^2 -544x +97410 $[/tex]

[tex]$ = 0.8(340)^2 -544(340) +97410 $[/tex]

=  4930

A student has homework assignments in each of his five daily classes he estimates that each assignment will take 30 minutes to complete it if is estimate is correct what is the latest he can start to work so that he can finish in time to watch his favorite television show at 10 PM

Answers

Answer:

he has to start at 8:30 PM I think

Step-by-step explanation:

it's because you do 30*5 then you get the answer 150, then you will do 150/60 whitch will get you to 2.5 and I think 2.5 is 2 hours, and 30 minutes. Then you minius 2 hours, and 30 minutes to the 10 hours and you get 8:30 PM (I don't know if that's correct or not)

A random sample of adults were asked whether they prefer reading an e-book over a printed book. The survey resulted in a sample proportion of p′=0.14, with a sampling standard deviation of σp′=0.02, who preferred reading an e-book.

Answers

Answer:

The confidence interval is  (0.1008, 0.1792)

Step-by-step explanation:

According to the question, the data provided is as follows

p′=0.14

sampling standard deviation of σp′= 0.02

Based on the above information

The computation of the 95% confidence interval for the true or correct proportion is

Here we apply the z value of 95% confidence interval i.e. 1.96

Now the confidence interval is

[tex]= (pcap - z\times sigma, pcap + z\times sigma)\\\\= (0.14 - 1.96\times 0.02, 0.14 + 1.96\times 0.02)\\\\= (0.1008, 0.1792)[/tex]

what is Evaluation Function?​

Answers

A function used by game-playing computer programs to estimate the value or goodness of a position (usually at a leaf or terminal node) in a game tree.

A faucet leaks 4 oz. of water per minute. How many gallons of water are wasted in a year? (128 oz. = 1 gallon)

Answers

Answer:   16,425   gallons are wasted a year

Step-by-step explanation:

First find out how many minutes there  are in a year then multiply it by how much oz the faucet leaks every years then convert it into gallons.

There are 525,600 minutes in a year now multiply it by 4.

525,600 * 4 = 2,102,400  So there are more than 2 million oz  wasted in a year so now convert it to gallons.

If there are 128 oz for every gallons the divide 2,102,400 by 128 to find out how many gallons are wasted a year.

2,102,400 / 128 = 16,425

Help ASAP please
‍✌✌

Answers

Answer:

Step-by-step explanation:

1. [tex]\sqrt{72}[/tex]  break it apart so you can solve

   [tex]\sqrt{2} *\sqrt{36}[/tex]

   [tex]\sqrt{2}[/tex] * 6

   6[tex]\sqrt{2}[/tex]

It's irrational. [tex]\sqrt{2}[/tex] can not be written as a ratio.

2.

   rational

   a.  -9  

         3.0

         [tex]\frac{2}{5}[/tex]

         2.4222...    2/90 = .22222....     36/90 = .4    180/90 = 2

                            2+36+180 = 218/90 which is a ratio, so it's rational

   irrational

   b.  [tex]\sqrt{8} = 2\sqrt{2}[/tex]  

          [tex]\pi[/tex]

3.

    6.51326.... and [tex]\sqrt{39}[/tex]

The [tex]\sqrt{39}[/tex] = 6.2445

Comparing to the 6.51326, it has a difference of 0.268262. Thus, 6.51326 is greater than square root of 39.

       

64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes. What is the experimental probability of rolling an even number

Answers

Answer:

Answer: The answer is (B) 48.5%.

Step-by-step explanation: Given that a number cube is rolled with the results that 64 ones, 67 twos, 73 threes, 59 fours, 72 fives, and 71 sixes appears. We are to calculate the experimental probability of rolling an even number.

The number of ways in which an even number is rolled is given by

and the total number of ways is given by

Therefore, the required probability is given by

Thus, (B) is the correct answer.

8x – 6 = 2 (4x + 3)

Is it no solution?


Answers

Answer:

X=12

Step-by-step explanation:

8×-6=2(4×+3)

8x-6=8×+6

8×-8×=6+6

×=12

There is a solution, it would
be 12

What are the solution(s) of X2-4=0?

Answers

Answer:

-2 or 2

Step-by-step explanation:

So we have the equation:

[tex]x^2-4=0[/tex]

Add 4 to both sides:

[tex]x^2=4[/tex]

Take the square root of both sides:

[tex]x=\pm 2[/tex]

Therefore, our answers are -2 or 2.

And we're done :)

AC but is 20 m above the surface of the ocean what is the Evevation

Answers

Sea level starts at 0m

Since we start at 0 and it is 20m above sea level, we can add.

0 + 20 = 20m

Therefore, the elevation is 20m

Best of Luck!

Evaluate 3z when z=9.

Answers

Answer:

27

Step-by-step explanation:

Replace the variable (z) with 9

3(9) or 3 × 9 = 27

Answer:

the answer is 27

plz give brainlist

hope this helped

3/5 (p - 3) = -4 solve for p please

Answers

answer: p = -146666667/1000000000

Answer:

p=-11/3

Step-by-step explanation:

3/5p-9/5=-4/*5

3p-9=-20

3p=-11

p=-11/3

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