Having trouble with this problem and how to fimd the ammount if xheese she is needing to use

Expand and simplify

Blababa [14]

<h2>Question:</h2>

→To simple the given equations

( 2x + 1 ) + 5x
( x + 3 ) ( x + 4 )
( x + y ) ²
( 2x + 1 ) ( x - 3 )

<h2 /><h2>Answer:</h2>

$\green{step \: 1}$

→ $3 ( 2x + 1 ) + 5x$

$\green{step \: 2}$

→ $6x + 3 + 5x$

$\green{step \: 3}$

→ $\blue{11x + 3✓}$

$\green{step \: 1}$

→ $( x + 3 ) ( x + 4 )$

$\green{step \: 2}$

→ ${x}^{2} + 4x + 3x + 12$

$\green{step \: 3}$

→ $\blue{ {x}^{2} + 7x + 12✓}$

$\green{step \: 1}$

→ $( x + y ) ^2$

$\green{step \: 2}$

→ $\blue{{x}^{2} + {y}^{2} + 2xy✓}$

$\green{step \: 1}$

→ $( 2x + 1 ) ( x - 3 )$

$\green{step \: 2}$

→ $2 {x}^{2} - 6x + x - 3$

$\green{step \: 3}$

→ $\blue{2 {x}^{2} - 5x - 3✓}$

<u>★</u><u>What do you mean by simplifying an equation:</u>

Simplifying an evaluation means to solve any difficult or easy equation in as simple form as possible .

<u>★</u><u>Steps we can do to simplify the equation:</u>

Open brackets/parentheses to make the equation more simplified.

Add /subtract numbers or numbers with same variable/constant.

thankyou ❤️

3 0

3 years ago

Solve the equation for 0

kondaur [170]

Answer:

????

Step-by-step explanation:

,$,$,$,$,$,$,#$,#,$,

3 0

3 years ago

A game advertises, EVERYONE IS A WINNER! It costs $2 to play. You get to choose a card from a standard deck of 52 playing cards.

Angelina_Jolie [31]

2 dollars. is the correct answer hope that helps

8 0

3 years ago

There are 20 deer per 2 square miles In

sladkih [1.3K]

Answer:

594,250 (a)

Step-by-step explanation:

2 sq. miles = 20 deers

1 sq. mile = 20÷2 = 10

59,425 sq. miles = 59,425×10

= 594,250

8 0

3 years ago

A fence must be built to enclose a rectangular area of 20,000 ft^2. Fencing material costs $4 per foot for the two sides facing

Marysya12 [62]

The cost of the least expensive fence is $3200

Step-by-step explanation:

The given is:

A fence must be built to enclose a rectangular area of 20,000 ft²
Fencing material costs $4 per foot for the two sides facing north and south and $8 per foot for the other two sides

We need to find the cost of the least expensive fence

Assume that the length of each side opposite to North or South is x feet and the length of each other sides is y feet

∵ The length of the rectangle = x feet

∵ The width of the rectangle = y feet

∵ The rectangular area is 20,000 ft²

- Area of a rectangle = length × width

∴ x × y = 20,000

- Divide both sides by x to find y in terms of x

∴ $y=\frac{20,000}{x}$

The fence's length is equal to the perimeter of the rectangular area

∵ Perimeter of the rectangle = 2 length + 2 width

∴ Perimeter of the rectangle = 2x + 2y

∵ Fencing material costs $4 per foot for the two sides facing

North and South

∴ x costs $4 per foot

∵ The cost of the other two sides is $8 per foot

∴ y costs $8 per feet

The cost of the fence is the sum of the products of 4 , 2x and 8 , 2y

∵ The cost of the fence (C) = 4(2x) + 8(2y)

∴ C = 8x + 16y

- Substitute y by its value above

∴ $C=8x+16(\frac{20,000}{x})$

∴ $C=8x+\frac{320,000}{x}$

To find the least expensive differentiate C with respect to x and equate the answer by 0 to find the value of x

∵ $\frac{320,000}{x}$ can be written as $320,000x^{-1}$

∴ $C=8x+320,000x^{-1}$

∵ $\frac{dC}{dx}=8(1)x^{1-1}+320,000(-1)x^{-1-1}$

∴ $\frac{dC}{dx}=8-320,000x^{-2}$

- Equate $\frac{dC}{dx}$ by zero

∴ $8-320,000x^{-2}=0$

∵ $-320,000x^{-2}=-\frac{320,000}{x^{2}}$

∴ $8-\frac{320,000}{x^{2}}=0$

- Subtract 8 from both sides

∴ $-\frac{320,000}{x^{2}}=-8$

- Multiply both sides by x²

∴ - 320,000 = - 8x²

- Divide both sides by -8

∴ 40,000 = x²

- Take √ for both sides

∴ 200 = x

Substitute x in the equation of C to find the least cost of fence

∵ $C=8(200)+\frac{320,000}{(200)}$

∴ C = 1600 + 1600

∴ C = 3200

The cost of the least expensive fence is $3200

Learn more:

You can learn more about the differentiation in brainly.com/question/4279146

#LearnwithBrainly

5 0

3 years ago