if you dont mind, i just need to know what is the final answer in standard form of the equation. please!

Answer:

You already know how to simplify an expression like

7

(

4

x

+

3

)

, right? Just use the distributive property to multiply 7 times 4x and then 7 times 3. This gives you an answer of

28

x

+

21

. Pretty simple. But - What if you have something like this:

(

4

x

+

6

)

(

x

+

2

)

? That's where we use the FOIL method. FOIL means First, Outside, Inside, Last. That's not too hard to remember if you say it in your head a few times.

You use FOIL to multiply the terms inside the parenthesis in a specific order: first, outside, inside, last. Here's how to solve

(

4

x

+

6

)

(

x

+

2

)

:

First - multiply the first term in each set of parenthesis:

First

4

x

∗

x

=

4

x

2

Outside - multiply the two terms on the outside:

Outside

4

x

∗

2

=

8

x

Inside - multiply both of the inside terms:

Inside

6

∗

x

=

6

x

Last - multiply the last term in each set of parenthesis:

Last

6

∗

2

=

12

Now just add everything together to get

4

x

2

+

14

x

+

12

. This method only works easily with two binomials. To multiply something complicated like

(

4

x

+

6

)

(

5

x

−

3

)

(

15

−

x

)

, just do FOIL on two of the binomials and then distribute the answer onto the remaining binomial.

Here are some more examples of FOIL multiplication:

Example:

Multiply the following:

(

6

x

+

1

)

(

2

x

+

9

)

Solution:

Just follow the letters in FOIL:

First:

6

x

∗

2

x

=

12

x

2

Outside:

6

x

∗

9

=

54

x

.

Inside:

1

∗

2

x

=

2

x

.

Last:

1

∗

9

=

9

.

Sum it all up and you get:

12

x

2

+

56

x

+

9

.

Example:

Multiply the following:

(

2

x

−

5

)

(

x

−

4

)

Solution:

Just follow the letters in FOIL:

First:

2

x

∗

x

=

2

x

2

Outside:

2

x

∗

(

−

4

)

=

−

8

x

Inside:

−

5

∗

x

=

−

5

x

Last:

(

−

5

)

∗

(

−

4

)

=

20

Sum it all up and you get:

(

2

x

2

−

13

x

+

20

)

.

The FOIL method is not too difficult to learn once you remember what it stands for. Just repeat first, outside, inside, last and you'll remember it. Other than that, it's just a matter of multiplying each of those steps and adding everything together. Even if the numbers are really ugly with fractions and negative signs and such just follow the steps and the method will work.

Step-by-step explanation

Answer:

The mass of the 2.5 kilograms mass in grams is 2,500 grams.

Answer:

26.087% increase

hope this helps ya :]

Answer:

It means that it requires 2268 to manufacture 63 chairs, (because it costs 36 to manufacture one chair).

Step-by-step explanation:

To show the converse of the Pythagorean theorem using side lengths chosen from 5 cm, 9 cm, 12 cm, and 13 cm  the procedure that can be used is : C. Knowing that 52 + 122 = 132, draw the 5 cm side and the 12 cm side with a right angle between them. The 13 cm side will fit to

form a right triangle.

In Option C, we are given the lengths 5 cm, 9 cm, 12 cm, and 13 cm. The converse of the Pythagorean theorem states that if the square of the longest side of a triangle is equal to the sum of the squares of the other two sides, then the triangle is a right triangle.

In this case, we have 52 + 122 = 132, which satisfies the condition for a right triangle according to the Pythagorean theorem.

By drawing the 5 cm side and the 12 cm side with a right angle between them, we can see that the 13 cm side will fit perfectly to form a right triangle. This demonstrates the converse of the Pythagorean theorem.

Option C is the correct procedure to show the converse of the Pythagorean theorem using the given side lengths.

For more such questions on Pythagorean theorem

https://brainly.com/question/343682

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Answer:

n=10

Step-by-step explanation:

I don't know if you are trying to fun 'n' but if you are seeing if they are equal, they are not

-6n+14 = 4n-16.

but if you are trying to find n,

n = 10.

Answer:

h = 24 cm

Step-by-step explanation:

By using the similar triangle property in the given triangles,

Since, ΔBCD ~ ΔBAE

Their corresponding sides will be in the same ratio,

[tex]\frac{BC}{BA}= \frac{CD}{AE}= \frac{BD}{BE}=\frac{a}{h}[/tex]

[tex]\frac{CD}{AE}=\frac{a}{h}[/tex]

[tex]\frac{10}{20}=\frac{(36-h)}{h}[/tex]

10h = 20(36 - h)

10h = 720 - 20h

30h = 720

h = 24 cm

Therefore, height h = 24 cm is the answer.

Answer:

24

Step-by-step explanation:

I took the test

Answer:

3, 6, 9 (the multiples of three within 11)

3 out of 11 numbers are multiples of 3

so you have a 3 out of 11 probability to grab a multiple of three

3/11 is your answer

Step-by-step explanation:

Probability of picking a ball of multiple of 3 is equals to (3/11).

" Probability is a mathematical expression which represents the ratio of number of favourable outcomes to the total number of outcomes."

Formula used

Probability = [tex]\frac{Number of favourable outcomes}{Total number of outcomes}[/tex]

According to the question,

'B' represents the ball

Possible outcomes = { B₁, B₂, B₃, ...., B₁₀, B₁₁}

favourable outcomes multiple of 3 = { B₃, B₆, B₉}

Total number of outcomes= 11

Number of favourable outcomes = 3

Substitute the value in the formula we get,

Probability of picking ball multiple of 3 = ( 3 / 11)

Hence, probability of picking a ball of multiple of 3 is equals to (3/11).

Learn more about probability here

#SPJ2

Answer:

8

Step-by-step explanation:

24 divided by 3 =8

Answer: she can buy 7 boxes

Step-by-step explanation: 14 divided by 2 is 7

Answer:

2x-18

Step-by-step explanation:

The distributive property has you mulitply the outside number by the inside numbers. 2 multiplied by x is 2x, and 2 multiplied by 9 is 18. We keep the subtraction symbol, this gives us 2x-18.

Step-by-step explanation:

1/2×(9+5)×6

1/2×14×6

7×6

42cm2

Answer the times 9 = the the the the the the the the the

Step-by-step explanation: heck, free 5 points

Answer Im going to geuss the last, Im not sure but it looks right.

Step-by-step explanation: heres my question-->  https://brainly.com/question/20473783

Answer:

good luck.......................

Answer:

The smallest angle is the angle shown by 3x - 17 which ends up being 49°.

Step-by-step explanation:

The angles of a triangle add up to 180 degrees. We can write an equation and solve for x.

75 + (2x + 12) + (3x - 17) = 180

~Combine like terms

70 + 5x = 180

~Subtract 70 to both sides

5x = 110

~Divide 5 to both sides

x = 22

Using what we found for x, solve for the missing angles.

2x + 12

2(22) + 12

44 + 12

66

3x - 17

3(22) - 17

66 - 17

49

Best of Luck!

Answer:

A

Step-by-step explanation:

Answer: A

Step-by-step explanation:

A is correct because u have  to minus 18 if u want x to be by its self

b, is incorrect because we have to do the opposite of each operation since it’s addition its inverse is subtraction

c, incorrect cuz it only minuses 18 from one side but u have to minus from both sides

d, incorrect

Answer:

$1020

Step-by-step explanation:

1/2 of 170 is 85.

85 x 12 = 1020

WOOOO!!!!

092MLBO

Answer: $1020

Step-by-step explanation:

170*12 = 2040

2040/2 = 1020

Answer:

Problem 1:  1/64x^8

Problem 2: y^8/9x^2

Step-by-step explanation:

In the first problem, you first need to multiply the -2 exponent to everything in the parenthesis. This is equal to 1/64x^4*-2, simplified to be 1/64x^-8. Finally you simplify the x to 1/64x^8.

For the second problem, you do the same in the first one, getting x^-2/9y^4*-2. This can be simplified to be 3x^-2/y^-8. Finally you make sure there is no negative exponents, so you do y^8/9x^2.

Answer:

1/64x^8 and y^8/9x^2

Step-by-step explanation:

hope this helps have a good night :)

Answer:

The value for X is 25

Step-by-step explanation:

I hope this helps you out!

Answer:

[tex]\displaystyle x = 25.2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle \frac{7}{8} = \frac{x}{28.8}[/tex]

Step 2: Solve for x

Answer:

Step-by-step explanation:

[tex]hope \: it \: helps[/tex]

Answer:

34

Step-by-step explanation:

Answer:

x=34

Step-by-step explanation:

2x=x+34

-x   -x

x=34

TADA! :D

Answer:

Choice 2 and 4 should be the answer

Step-by-step explanation:

For choice 2: both started away from home and finished at home.

For choice 4, Peter is farther away from home than Camilla, but they reached home at the same time which proves that Peter is faster.

Answer

y=4

y=2x-1

Step-by-step explanation:

Y is the vertical axis