Identify the rule for the following pattern: 4, 24, 144...

Step-by-step explanation:

x³-x

by taking out common term, we get

x(x²-1)

Now, by using the formula of a²-b², we get

x(x²-1²)

x(x+1)(x-1)

I hope it helped U

stay safe stay happy

Answer:

[tex] {x}^{3} - x = x(x + 1)(x - 1)[/tex]

I hope I helped you^_^

[tex]\\ \rm\Rrightarrow 2x(5-x)+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x-2x^2+3x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+(-2+3)x^2[/tex]

[tex]\\ \rm\Rrightarrow 10x+x^2[/tex]

[tex]\\ \rm\Rrightarrow x^2+10[/tex]

Answer:

1/9 probability

Step-by-step explanation:

The total cookies are 36 and the new flavors are 4, if you simplify 4/36, it equals 1/9

Answer:

Rachel will make 30 free-throws!

Step-by-step explanation:

Hello!

I came up with this solution with some easy mental math! If you weren't aware, 60% of 50 is a whole number! Meaning that 60% of 50 is 30. You could even double 50 to make it 100, everyone knows that dealing with percentages with the number 100 make them a whole lot easier!

Back to what I was saying, if you used 100, you would also have to take 60% of 100, which is 60. And then have to divide 60 by 2 because you doubled the 50! Giving you 30 free-throws, which is the correct answer!

Hope this helped! Let me know if you have any further questions! :)

Answer:

[tex] {3}^{2} \times {3}^{ - 6} \\ = {3}^{2 + ( - 6)} \\ = {3}^{2 - 6} \\ = {3}^{ - 4} [/tex]

Answer:

25 - (6 x y) + (3 x y) = -56, y = 3.44

Step-by-step explanation:

-56 + 25 = 31, 6y + 3y = 9y, 31 = 9y, 31 / 9 = 3.44

it's a repeating number so uh yeah

y = 3.44

Answer:

The value of x that minimizes the total area of the two squares is x = 5.

Step-by-step explanation:

A wire 10 centimeters long is cut into two pieces, with one piece measuring x centimeters and the other (10 - x) centimeters.

Each piece is bend into the shape of a square, and we want to find the value of x that minimizes the total area of the two squares.

If x is bend into a square with four equivalent sides, then each side measure:

[tex]\displaystyle A = \frac{x}{4}[/tex]

Likewise, each side of the second square will measure:

[tex]\displaystyle A = \frac{10-x}{4}[/tex]

The area of a square is its side squared. Hence, the area of both squares will be given by:

[tex]\displaystyle T = \left( \frac{x}{4}\right) ^2 + \left(\frac{10-x}{4}\right)^2[/tex]

Simplify:

[tex]\displaystyle \begin{aligned} T &= \frac{x^2}{16} + \frac{x^2 - 20x + 100}{16} \\ \\ &=\frac{2x^2-20x+100}{16}\\ \\ &= \frac{1}{8}x^2-\frac{5}{4}x+\frac{25}{4} \end{aligned}[/tex]

Since this is a quadratic with a positive leading coefficient, the minimum value will occur at the vertex point.

Recall that the x-coordinate of the vertex is given by:

[tex]\displaystyle x = -\frac{b}{2a}[/tex]

In this case, a = 1/8 and b = - 5/4. Hence:

[tex]\displaystyle x = -\frac{\left(-\dfrac{5}{4}\right)}{2\left(\dfrac{1}{8}\right)} = 5[/tex]

In conclusion, the value of x that minimizes the total area of the two squares is x = 5.

Answer:

so our x is <

less than

explanation: 3>2x= 1.5<x

x- 4>2 =6<x

Answer:

567

Step-by-step explanation:

It is going to be arithmetical sequence, a1=6

d=3, n=18

Sn= (2a1+d(n-1))/2*n= (2*6+3*17)/2*18= 63*9=567

The arrangement of fruits trees in the farm is modeled after an arithmetic progression, thus, there are 567 fruit trees in the farm.

The number of fruits trees in the farm represents an arithmetic progression as each row of trees in the farm increases by 3 more than the one after it.

The number of trees is calculated using the arithmetic formula as follows:

[tex]S_n = \frac{2a + d(n - 1)}{2}× n[/tex]

where

Substituting the values

[tex]S_n = \frac{2 \times 6 + 3(18 - 1)}{2}× 18 = 567[/tex]

Therefore, there are 567 fruit trees in the farm.

Learn more about arithmetic progression at: https://brainly.com/question/6561461

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Hi there!  

»»————-　★　————-««

I believe your answer is:  

[tex]\frac{1}{2}x+7[/tex]

»»————-　★　————-««  

Here’s why:  

⸻⸻⸻⸻

[tex]\boxed{\text{Simplifying the equation...}}\\\\\frac{1}{2}(x+14)\\------------\\\rightarrow \frac{1}{2}*x = \frac{1}{2}x\\\\\rightarrow\frac{1}{2}*14=7\\\\\rightarrow \frac{1}{2}(x+14)= \boxed{\frac{1}{2}x+7}[/tex]

⸻⸻⸻⸻

»»————-　★　————-««  

Hope this helps you. I apologize if it’s incorrect.  

Answer:

a = 3

Step-by-step explanation:

2(a−4)+15=132

a−8+15=132

a=13−15+82

a=6

a=6/2

a=3

Answer:

Yes, this is a function.

Step-by-step explanation:

Every input has its own unique output (no x number goes to more than one y number).

Answer:

a)

Since t is between 0 and 15, and the house was purchased 8 years ago, we have two pairs of values:

Find the slope, m:

The value of b is 42000, since at t = 0, V = 42000

So the equation is:

b)

The graph is attached.

When V = 72500, t = 9.6 (approximately)

c)

When V = 74000

d)

When V = 80250

Answer:

No solution

Step-by-step explanation:

Distribute the right side of the equation.

This will make it 3/8f+1/2=3/8f - 18

And, since 3/8f plus 1/2 will never equal the same thing as 3/8f minus 18, there are no solutions

Answer and Step-by-step explanation:

First, distribute the 6 to the [tex]\frac{1}{16} f[/tex] and -3.

[tex]\frac{3}{8} f + \frac{1}{2} = \frac{6}{16} f - 18\\\\\frac{3}{8} f + \frac{1}{2} = \frac{3}{8} f - 18[/tex]

If you were to subtract [tex]\frac{3}{8} f[/tex] from both sides of the equation, you would be left with [tex]\frac{1}{2} = -18[/tex], which isn't correct.

This means that there are NO solutions to this equation, or no value of f that will make both sides of the equation equal to each other.

#teamtrees #PAW (Plant And Water)

I hope this helps!

Step-by-step explanation:

3(5)+5÷4

15+5÷4

20÷4

5 Answer

Answer:

16.25

Step-by-step explanation:

Let x = 5. Substitute the value for the variable.

3(5) + 5 ÷ 4

15 + 5 ÷ 4

15 + 1.25

16.25

Answer:

hsjjsjsjjsjjdjjsnnsjsj

Answer:

(-1,0.5)...

the inverse "f^-1" of an exponential function is BY DEFINITION the "Log" function

Step-by-step explanation:

Step-by-step explanation:

X={-4,-3,-2,-1,0,1}

Write integers which are greater than -5 but less than 2.

Note:if you need to ask any question please let me know.

Answer:

gcfcfud g fhhfhchgdjchfhfhgfhhufxyvhcj v hxhcnchchdfhvhdnfjc

Answer:

212205

Step-by-step explanation:

Well each letter is a number of a alaphabet

Answer:

It's two inches

Answer:

sorry i can't

please mark me as brainlest

9514 1404 393

Answer:

  50.3 inches

Step-by-step explanation:

720 degrees is 2 full turns, or twice the circumference of the pulley. The circumference is given by ...

  C = 2πr

  C = 2π(4 in) = 8π in

Then 2 times that is ...

  height lifted = 2(8π in) = 16π in ≈ 50.3 in

The object was lifted about 50.3 inches.

Answer:

see explanation

Step-by-step explanation:

(a)

To evaluate f(- 2) substitute x = - 2 into f(x) , that is

f(- 2) = 9 - 4(- 2)² = 9 - 4(4) = 9 - 16 = - 7

(b)

Similarly substitute x = - 3 and x = 3 into f(x)

f(- 3) = 9 - 4(- 3)² = 9 - 4(9) = 9 - 36 = - 27

f(3) = 9 - 4(3)² = 9 - 4(9) = 9 - 36 = - 27

(c)

let f(x) = 0 , then

9 - 4x² = 0 ( add 4x² to both sides )

9 = 4x² ( divide both sides by 4 )

[tex]\frac{9}{4}[/tex] = x² ( take the square root of both sides )

± [tex]\sqrt{\frac{9}{4} }[/tex] = x

± [tex]\frac{\sqrt{9} }{\sqrt{4} }[/tex] = x

± [tex]\frac{3}{2}[/tex] = x

That is x = - [tex]\frac{3}{2}[/tex] or x = [tex]\frac{3}{2}[/tex]

6k · 1/6 = 6/6k = k

.......

Step-by-step explanation:

hopefully it is clear and understandable

:)

Answer:

B

Step-by-step explanation:

The correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.

In geometry, a vertical shift otherwise known as vertical translation, is a translation of a geometric object in a direction parallel to the vertical axis of the Cartesian coordinate system. In simpler terms, it is a shift in which a plane figure moves vertically.

Given that g(x) = f(x) + 5. We need to find that which statement best compares the graph of g(x) with the graph of f(x),

So,

If f is any function of x, then the graph of the function f(x) + c, may be obtained by a vertical translation of the graph of f(x) by distance c.

For this reason, the function f(x) + c is sometimes called a vertical translate of f(x).

Hence, the correct statement is, the graph of g(x) is the graph of f(x) shifted 5 units up.

Learn more about vertical shifting click;

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Answer:

[tex] 9\times {y}^{3} [/tex]

this should be

[tex]9 {y}^{3} [/tex]

The expression for 9 is multiplied by the cube of a number will be 9X³.

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.

Expression = 9 x Cube of a number

Expression = 9 x ( X )³

Expression = 9X³

Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.

The complete question is given below:-

9 is multiplied by the cube of a number then write an expression for that.

To know more about an expression follow

https://brainly.com/question/723406

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Answer:

Think u have to find out what the x means and go from there

Answer:

B. 0

Step-by-step explanation:

The circles do not intersect, tangents require intersection

Answer:

B.) 0

Step-by-step explanation:

I got it correct on founders edtell

If f(X)= 7x +5/3 - x =6x +5/3

y= 6x +5/3

6x= y-5/3

f^-1(y)=x=(y-5/3)/6

So we can write

f(f^-1(y))= f((y-5/3)/6) = 6 (y-5/3)/6 +5/3= y-5/3+5/3= y

The same result can be obtained for f^-1(f(x))=x

If the function is f(x)= 7x +5/(3-x) then it is not invertible since it is not injective (pictures)