Which of these statements is a valid perfect square trinomial?

Statement 1: x2 + 10x + 100 = (x − 10)2
Statement 2: a2 + 2ab + b2 = (a + b)2

Group of answer choices

Statement 1 and statement 2 are valid.

Statement 1 and statement 2 are invalid.

Only statement 1 is valid.

Only statement 2 is valid.

Answer:

2.28 * 10^8 km.

Step-by-step explanation:

228,000,000

= 2.28 * 10^8 km.

Answer:

B

Step-by-step explanation:

A. 8 * x = 80

8 * 5 = 40. 40 is not 80, so it doesn't work.

B. x + 4 = 9

5 + 4 = 9. This works.

C. 10 ÷ x = 5

10 ÷ 5 = 2. 5 is not 2, so it doesn't work.

D. x - 6 = 1

5 - 6 = -1. 1 is not -1, so it doesn't work.

f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9).

To answer the questions, we need to know what functions are

A function is a mathematical expression that shows the relationship between two variables.

Since f(x) = (2x³ + 1 + x²)/(x² + 9).

Its odd part g(x) = [f(x) - f(-x)]/2

So, g(x) =  [f(x) - f(-x)]/2

= [(2x³ + 1 + x²)/(x² + 9) - (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2

= [(2x³ + 1 + x²)/(x² + 9) - (-2x³ + 1 + x²)/(x² + 9)]/2  

= (2x³ + 1 + x² + 2x³ - 1 - x²)/2(x² + 9)  

= 4x³/2(x² + 9)  

g(x) = 2x³/(x² + 9)  

Its even part h(x) = [f(x) + f(-x)]/2

So, h(x) =  [f(x) + f(-x)]/2

= [(2x³ + 1 + x²)/(x² + 9) + (2(-x)³ + 1 + (-x)²)/((-x)² + 9)]/2

= [(2x³ + 1 + x²)/(x² + 9) + (-2x³ + 1 + x²)/(x² + 9)]/2  

= (2x³ + 1 + x² - 2x³ + 1 + x²)/2(x² + 9)  

= 2(1 + x²)/2(x² + 9)  

h(x) = (1 + x²)/(x² + 9)

So, f(x) = g(x) + h(x)

f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9)  

So, f(x) = (2x³ + 1 + x²)/(x² + 9) as a sum of two functions g(x) and h(x), where g is an odd function and h is an even function is f(x) = 2x³/(x² + 9)  + (1 + x²)/(x² + 9).

Learn more about odd and even functions here:

https://brainly.com/question/26322830

Answer:

[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]

[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]

Step-by-step explanation:

'x² - 9' is an even.

Break up the numerator into odd an even parts to get your answer.

'2x³' is odd and 'x² + 1' is even.

[tex]g(x)=\frac{2x^{3} }{x^{2} -9}[/tex]

[tex]h(x)=\frac{x^{2}+1 }{x^{2} -9}[/tex]

Answer:

3x - 4

---------

10(x + 3)

Step-by-step explanation:

  x -2            x - 3

----------- ( - ) ----------

2x + 6         5x + 15

Multiply both sides by the denominator

 5(x - 2)           2( x - 3)

-----------   ( - )    ----------

5(2)(x + 3)      2(5)(x + 3)

multiply the numbers together

5x - 10          2x - 6

----------- ( - ) ---------

10(x + 3)      10(x + 3)

Subtract the numberator

5x - 10 - (2x - 6)

5x - 10 - 2x + 6

5x - 2x = 3x

-10 + 6 = -4

3x - 4

3x - 4

----------

10(x + 3)

I hope this helps!

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Since, A translation of a triangle is moving it up down or side to-side on the axis, not changing the shape flipping it or the orientation.

Hence, By all the graphs;

All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Thus, All the triangles below which are translations of triangle X are,

⇒ A, B, D, E, F

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ2

Answer:

A, F

Step-by-step explanation:

The only two images that are just translations of triangle X are A and F.

Triangles A and F are obtained by moving triangle X some combination of up, down, left, and right. That is just a translation.

All other triangles shown involve something else in addition to a translation such as a reflection, rotation, or dilation.

Answer: A, F

Check the picture below.

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

= pi ( 4.5)^2

20.25 pi

Answer: 13/34

Step-by-step explanation: In total there are 34 people

There are 13 professors and instructors.

That means that there is a 13/34 chance.

Answer:

If a cone and a cylinder have the same base and the same height, then the volume of the cone is of the volume of the cylinder. For example, the cylinder and cone shown here both have a base with radius 3 feet and a height of 7 feet. The cylinder has a volume of cubic feet since .

Step-by-step explanation:

Answer:

mortgage

Step-by-step explanation:

all the others just dont fit the question. might be wrong might not be who knows

Answer:

96 units²

Rectangles

A = bh

4 x 7  = 28

5 x 7 = 35

3 x 7 = 21

Triangles

A = bh/2

(4 x 3)/2 = 6

(4 x 3)/2 = 6

Total SA

28 + 35 + 21 + 6 + 6

96 units²

Answer:

[tex]Hi!~I~am~beinggreat78~and~I~will~help~you.\\[/tex]

To solve problems, you first must find the source of the conflict, and attempt to let the situation play out, or use a strategy yourself. To solve math problems, go by PEMDAS.

With this strategy, PEMDAS, you can solve math problems quickly, and like a pro!

7.6 hours

Step-by-step explanation:

57 x 8 = 456 minutes

456÷60= 7.6

Step-by-step explanation:

hope this helps, you can ask any questions for clarification

Answer:

5x10x9 Is the correct answer meaning that the answer is 450

Brainliest would be very appriciated

Step-by-step explanation:

EDIT: my bad i read the question wrong, the answer is D:450

sorry for any confusion ;^;

Answer:

a) 8xy = (4)(2xy)

b) 15x⁴z = (5x²)(3x²z)

c) -12x³y³ = (3y³)(-4x³)

d) 8x-2y = (2)(4x-y)

Step-by-step explanation:

a) 8xy = (4)(2xy) for the right side to equal the left 2xy needs to be multiplied by 4 to equal 8xy

b) 15x⁴z = (5x²)(3x²z) you need to multiply 5x² by 3x²z to equal 15x⁴z.

5*3 = 15 and x²*x² = x⁴ so 15x⁴*z = 15x⁴z

c) -12x³y³ = (3y³)(-4x³) becuase -4*3 = -12 and x³*y³ equal x³y³

d) 8x - 2y = (2)(4x-y) when you multiply 2 by 4x-y it equals 8x-2y

PLEASE RATE!! I hope this helps!!

If you have any questions comment below

Answer:

[tex]{x,y}={-1,0}[/tex]

Step-by-step explanation:

System of Linear Equations entered :

[1]    3x + 4y = -3

  [2]    x + 2y = -1

Solve by Substitution :

// Solve equation [2] for the variable x

[2]    x = -2y - 1

// Plug this in for variable  x  in equation [1]

  [1]    3•(-2y-1) + 4y = -3

  [1]     - 2y = 0

// Solve equation [1] for the variable  y

  [1]    2y = 0

  [1]    y = 0

// By now we know this much :

   x = -2y-1

   y = 0

// Use the  y  value to solve for  x

   x = -2(0/32765)-1 = -1

Solution :

{x,y} = {-1,0/32765}

Answer:

[tex]\boxed{\sf{x=-1 \quad y=0 \quad (-1,0)}}[/tex]

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

[tex]\Longrightarrow: \sf{3x+4y=-3 \quad x=\dfrac{-3-4y}{3} }[/tex]

You have to substitute.

[tex]:\Longrightarrow \sf{\dfrac{-3-4y}{3}+2y=-1}[/tex]

Solve.

[tex]\sf{\dfrac{-3+2y}{3}=-1}[/tex]

[tex]\sf{\dfrac{-3-4y}{3}}[/tex]

y=0

For y=0.

[tex]\Longrightarrow: \sf{x=\dfrac{-3-4*0}{3}}[/tex]

Solve.

PEMDAS stands for:

-3-4*0/3

Multiply.

4*0=0

-3-0

Add/subtract the numbers from left to right.

-3-0=-3

-3/3

Divide.

-3/3=-1

x=-1

Therefore, the final answer is x=-1 and y=0.

I hope this helps. Let me know if you have any questions.

Jack's problems illustrates algebraic expressions

The given parameter is:

Problems = m

From the complete question, we understand that all questions were solved in 5 days.

So, the number of questions solved per day is:

Daily = m/5

We have:

Daily = m/5

He solved 15 daily.

So, the equation becomes

m/5 = 15

Multiply both sides by 15

m = 75

Hence, 75 questions were assigned in total

Read more about expressions at:

https://brainly.com/question/723406

Answer:

1/5 is the answer in my calculations

Answer:

-54/385

Step-by-step explanation:

Answer:

i assume the question is 115-5x=10

Step-by-step explanation:

if yes then the answer will be

-5x=125

-5x/-5=125/-5

x=25

Answer: I got the same question, did u get the answer?

Step-by-step explanation:

Answer:

4131.38

Step-by-step explanation:

Since it's compounded annually, and no time needs to be converted, we can use the formula [tex]y=Pe^r^t[/tex], where P is the starting amount, e is Euler's number, r is the rate in decimals, and t is time. The first task would be to find the t. The question set us a timeframe of 2 to 18, so 18-2=16, therefore our t is 16. Plugin the known into the formula and calculate:

[tex]y=3000e^0^.^0^2^*^1^6\\y=3000*e^0^.^3^2\\y=4131.38[/tex]

Answer:

0.1317

Step-by-step explanation:

Answer:

$1.56

Step-by-step explanation:

4.68/3 = 1.56

Unit price is $1.56

Answer:1.56

Step-by-step explanation: 4.68/3=1.56

Answer:

Convergence is defined as the movement of two forces together while divergence implies the movement of two forces apart. In the world of economics, finance, and trading, divergence and convergence describe the directional relationship between two trends, prices, or indicators.

Answer:

15x^3+26x^2-3x+42

Step-by-step explanation:

(3x+7)(5x^2-3x+6)

15x^3-9x^2+18x+35x^2-21x+42

15x^3-9x^2+35x^2+18x-21x+42

15x^3+26x^2-3x+42

Answer:

15x³ + 26x² - 3x + 42

Step-by-step explanation:

Hi there!

We are given the polynomials 3x+7 and 5x²-3x+6

We want to multiply them together

(3x+7)(5x²-3x+6)

To that, we need to distribute each term of the binomials to each other, and then add them together.

What this means is that we need to multiply 3x by 5x², -3x, and 6, then add them together. Then, multiply 7 by 5x², -3x, and 6. Add those together, and then add everything together.

So, let's first start by multiplying 3x by everything:

3x * 5x² = 15x³

3x * -3x = -9x²

3x * 6 = 18x

Add them together: 15x³ + -9x² + 18x

Now with 7:
7 * 5x²  = 35x²

7 * -3x = -21x

7 * 6 = 42

Add them together: 35x² + -21x + 42

Now add  15x³ + -9x² + 18x and 35x² + -21x + 42 together:
15x³ + -9x² + 18x + 35x² + -21x + 42

Combine like terms:

15x³ + 26x² - 3x + 42

Hope this helps!

Answer:

-3+i

Step-by-step explanation:

Collect like terms

-2-1=-3

+3i-2i=i

-3+i