Simplify: (3+√5)(4-√5)

Answer:

-9x + 72

Step-by-step explanation:

1. -9(x-8)

2. distribute the 9. --> -9x + 72

Answer:

1. 2m^2-2n^2

Step-by-step explanation:

1. (m-n)(m^2+mn+n^2)

m^2=m

n^2=n

=(m-n)(m+mn+n)=(m-n)(2m2n)

Multiple

=2m^2-2n^2

Answer:

Area of rectangle = [tex]\mathbf{x^2-4x}[/tex]

Perimeter of rectangle = [tex]\mathbf{4x-8}[/tex]

Step-by-step explanation:

We are given:

Length of rectangle = x

Width of rectangle = x-4

We are not given if we want to find area of rectangle or perimeter of rectangle.

So, I will be finding both

Area of rectangle

The formula used is: [tex]Area\: of\: rectangle=Length \times Width[/tex]

Putting values and finding area

[tex]Area\: of\: rectangle=Length \times Width\\Area\: of\: rectangle=x \times (x-4)\\Area\: of\: rectangle=x^2-4x[/tex]

So, we get area of rectangle = [tex]\mathbf{x^2-4x}[/tex]

Perimeter of rectangle

The formula used is: [tex]Perimeter \: of\: rectangle=2(Length+ Width)[/tex]

Putting values and finding perimeter

[tex]Perimeter \: of\: rectangle=2(Length+ Width)\\Perimeter \: of\: rectangle=2(x+ x-4)\\Perimeter \: of\: rectangle=2(2x-4)\\Perimeter \: of\: rectangle=4x-8[/tex]

So, we get perimeter of rectangle = [tex]\mathbf{4x-8}[/tex]

I hope, it can help in solving the question.

Answer:

24+15k=

Step-by-step explanation:

First we multiply the 6 to the numbers in the parentheses, so 4x6=24, and 2x6=12, making the expression look like this: 24+12k+3k=

Then we combine like terms, which would be the number that are attached to 'k'. So that makes the expression look like this: 24+15k=

I'm not sure what else you're suppose to do to create a new expression since there's nothing on the other side of the equal sign, but that's as much as the expression will simplify.

Answer: A. [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]

Step-by-step explanation:

According to the recipe,

For 2 batches, 3 cups of flour required.

One batch has 15 mix rolls

Then 2 batches will have 2 (15) = 30 rolls

Each person gets one roll, so 3 cups of flour is required for 30 people.

The quanity of flour is proportional to the number of people.

Let x be the quantity of flour required for 12 people.

By proportion,

[tex]\dfrac{\text{Quantity of flour}}{\text{Quanity of person}}=\dfrac{3}{30}=\dfrac{x}{12}[/tex]

Required proportion: [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]

The correct option is A. [tex]\dfrac{3}{30}=\dfrac{x}{12}[/tex]

Answer:

right 50:30 left

divide both sides by a common factor. (I've used 10 hcf)

right 5:3 left

Answer:

The volume is 1539.38

Step-by-step explanation:

Answer:

384.7 cubic inches

Step-by-step explanation:

formula to find Volume of a Cylinder:  

V = π · r² · h

7 is the diameter, so r = 3.5

V = π (3.5)² · 10

V = π (12.25)(10)

V = π · 122.5

V ≈ 384.7 in³

Answer:

The answer is 6x² - 21x.

Step-by-step explanation:

You have to substitute the expressions inro the formula :

[tex]A = length \times width[/tex]

[tex]let \: l = 2x - 7,w = 3x[/tex]

[tex]A = (2x - 7) \times 3x[/tex]

[tex]A = 3x(2x - 7)[/tex]

[tex]A = 6 {x}^{2} - 21x[/tex]

The area of the rectangular garden is 6x² - 21x.

We know the perimeter of any 2D figure is the sum of the lengths of all the sides except the circle and the area of a rectangle is the product of its length and width.

We know, The area of a rectangle is (length×width).

Given, The rectangular garden has a length of (2x - 7) and a width of 3x.

Therefore, The area of the garden is,

= (2x - 7)×3x.

= 6x² - 21x.

= x(6x - 21).

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Answer:

x = -9 Its B

Step-by-step explanation:

Because it can go both ways either + or -

Answer:

d

Step-by-step explanation:

b/c |-9|+10=19  |9|+10=19   |0|+10=10

Answer:

the number of seconds to reach the height is 3 seconds

Step-by-step explanation:

The computation of the seconds that reach the height is as follows;

Given that

h = -16t^2 + 96t + 48

here

H = 192 feet

So,

192 = -16t^2 + 96t + 48

-16t^2 + 96t - 144 = 0

Divide by -16

t^2 - 6t + 9 = 0

t^2 - 3t - 3t + 9

t(t - 3) - 3(t - 3)

t = 3 seconds

Hence, the number of seconds to reach the height is 3 seconds

Answer:

The median is 5.5

Answer:

380 ft squared

Step-by-step explanation:

20 times 25 = 500 ft squared

but since there is air

12 times 10 = 120 ft squared

500 - 120= 380 ft squared

Answer:

40x-24y

Step-by-step explanation:

how u need help, just do

8 times 5x

then 8 times -3y

Answer:

the answer to 3 is the first one, 40x-24y

Answer:

23446

76532

12839

09192

29292

Answer:

5.265748

Step-by-step explanation:

i did a cm to feet calcu-lator

have good day

The correct answer is 4 feet 17 inches is 160.5 c.m.

The process to convert cm to feet is simple. 1 cm. is equal to 0.025 feet. So you must multiple the unit by 0.025.

Given:

1 feet = 38.48 cm.

1 cm. = 0.025 feet.

160.5 cm = (0.025/1) * 160.5

160.5 cm = 4.1709 feet  

4.1709 feet  

4.1709 feet  = 4 feet + 1709 inches.

We can 4.1709 feet which is equal to 4 feet 17 inches.

Therefore, 160.5 cm is equal to  4 feet 17 inches.

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Answer:

$7.22 per foot squared

Step-by-step explanation:

hope this helps

Answer:

Step-by-step explanation:

We need the unit rate here. The best way to do this is to write a proportion.

Let x = the $ for 1 ft.

130/18 = x/1

130 = 18x

Divide by 18

x = $7.22

Now, we check to make sure we are correct.

130/18 = 7.22/1

130 = 130 ✅

Answer:

pretty sure it would be C

[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]

The Correct choice is :

Answer:

Step-by-step explanation:

Answer:

it's the one with 15,18,20,21

Step-by-step explanation:

Cause itt does not have a constant rate it has 15 +3=18, 18+2= 20 so it's not constant

Answer:

i tried but all i got was like 80 percent

Step-by-step explanation:

Answer:

down below

Step-by-step explanation:

you need to find the greatest common multiple

sorry, i am really tired rn and can't solve it

but maybe one of the dogs becomes anorexic and then they will never weigh the same?

Answer:

333333324.442

Step-by-step explanation:

A poodle puppy weighs 1.5 kg when it is born and gains 0.04 kg each day.

A golden retriever puppy weighs 1.2 kg when it is born and gains 0.1 kg each day.

How many days will it take for the two puppies to weigh the same amount

Answer: It number 4

Step-by-step explanation:

Answer:

(-4,5) is located on the 2nd quadrant

Answer:

(-4, 5)

Step-by-step explanation:

Quadrant II is at the top left. So, point (-4, 5) is located in Quadrant II.

Answer:

Step-by-step explanation:

One point can be the y-intercept. We can see that the y-intercept is (0,-3). -3 is the value of y when x = 0. The next point can be when x = 2. If we plug that in the equation, we get the point (2,-6).

Plotting these two points will graph the equation.

The graph is given below.

Some of the coordinates on the graph are (0, -3, (1, -4.5), and (2, -6).

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = (-3/2)x - 3

The coordinates from the given equation are:

When x = 0,

y = - 3

(0, -3)

When x = 1,

y = -3/2  - 3 = (-3 - 6)/2 = -9/2 = -4.5

(1, -4.5)

When x = 2,

y = -3 - 3 = -6

(2, -6)

Now,

The graph of the equation is given below.

Thus,

The graph is given below.

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Answer:

Options A and B are polynomial of the fourth degree

Step-by-step explanation:

In this problem, option

A. 3x2y + 5x3y + 6y4

Is a Polynomial of the fourth degree because of the 6y⁴ term which is the highest degree

Also the option

B. 6y4 + 5x3 + 1 has a 6y⁴ term which indicates that the polynomial is a fourth degree polynomial

What is the degree of a polynomial?

In mathematics, the degree of a polynomial is the highest of the degrees of the polynomial's monomials with non-zero coefficients. The degree of a term is the sum of the exponents of the variables that appear in it, and thus is a non-negative integer

Answer:

Andre and 6 weeks

Step-by-step explanation:

because,20x4+10=90 and 5x4+100=

Answer:

h

Step-by-step explanation:

hmkjkljlj

Answer:

1. 5%

2. 37.5% decrease

Step-by-step explanation:

Remember the Difference of Squares:

a² - b² = (a + b)(a - b)

Therefore (√20 - √3)(√20 + √3)

= (√20)² - (√3)² = 20 - 3 = 17. (C)