Which statement describes function composition with respect to the commutative property? Given f(x) = x² – 4 and g(x) = x – 3, (f ∘ g)(2) = –3 and (g ∘ f)(2) = –3, so function composition is commutative. Given f(x) = 2x – 5 and g(x) = 0.5x – 2.5, (f ∘ g)(x) = x and (g ∘ f)(x) = x, so function composition is commutative. Given f(x) = x² and g(x)=StartRoot x EndRoot, (f ∘ g)(0) = 0 and (g ∘ f)(0) = 0, so function composition is not commutative. Given f(x) = 4x and g(x) = x², (f ∘ g)(x) = 4x² and (g ∘ f)(x) = 16x², so function composition is not commutative.

Answer: −1−3k

Step-by-step explanation:

Distribute:

(−3+4k)−1(−2+7k)

(-3+4k)+{2-7k}

Eliminate redundant parentheses:

(−3+4k)+2−7k

-3+4k+2-7k

Add the numbers:

−3+4k+2−7k

−1+4k−7k

Add the same term to both sides of the equation:

−1+4k−7k

−1−3k

Answer:

C. Two distinct lines are parallel if they are in the same plane and never intersect each other.

Step-by-step explanation:

Parallel lines are best defined as 2 different lines that are in the same plane and will never intersect each other at any point in the graph.

They are always the same distance apart and will never touch.

So, C is correct

Answer:

C

Step-by-step explanation:

The very definition of parallel lines is that they have the same slope, if they have the same slope, they will never meet.

Step-by-step explanation:

b×5×c×8/b×3×c×2

5/3×4

the answer is 20/3

Answer:

M = (1.5, 2.5 )

Step-by-step explanation:

Given endpoints (x₁, y₁ ) and (x₂, y₂ ) then the midpoint is

[ [tex]\frac{1}{2}[/tex] (x₁ + x₂ ), [tex]\frac{1}{2}[/tex] (y₁ + y₂ ) ]

Here (x₁, y₁ ) = C(4, 6) and (x₂, y₂ ) = D(- 1, - 1) , thus

midpoint = [ [tex]\frac{1}{2}[/tex] (4 - 1) , [tex]\frac{1}{2}[/tex] (6 - 1 ) ] = (0.5(3), 0.5(5) ) = (1.5, 2.5 )

Answer:

[tex]M=(\frac{3}2},\frac{9}{2})[/tex]

Step-by-step explanation:

The midpoint is given by the formula:

[tex]M=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

So we have the two endpoints A(3,7) and B(0,2).

Let's let (3,7) be x₁ and y₁ and let's let (0,2) be x₂ and y₂.

Therefore, our midpoint is:

[tex]M=(\frac{3+0}{2},\frac{7+2}{2})[/tex]

Add:

[tex]M=(\frac{3}2},\frac{9}{2})[/tex]

Or:

[tex]M=(1.5,4.5)[/tex]

And we're done!

Hope this helps!

Answer: (1.5,4.5)

Step-by-step explanation:

For midpoint i have a little cheer to remember the steps it goes," Midpoint, midpoint, what do you do? add them together and divide by two.

so using this problem as an example you would add the y coordinates and the x coordinates and get (3,9) then you divide X and Y by two.

So 3 divided by 2 is 1.5 so that is the X coordinate for the midpoint

and 9 divided by 2 is 4.5 so that is your Y coordinate for the midpoint.

Put it together and your answer is (3.5,4.5)

Answer:

Simplify.

There's a product, so we are multiplying.

5 x...

The difference of one and a number. The number is a variable, since it could be any number.

1 - x

Let's combine them.

5 x (1 - x)

5(1 - x)

Hope this helped!

Mark this Brainliest, not that it matters.

Good luck :)

Answer: q=31

Step-by-step explanation:

q -8 = 23    Add 8 to both sides

  +8    +8

q = 31

Answer:

36.17

Step-by-step explanation:

Add all and divide by 9

Answer:

4/11

Step-by-step explanation:

7/11-3/11

=>(7-3)/11

=>4/11

Answer:

yes

Step-by-step explanation:

-17.84 can be written as a/b where a and b are integers

-1784/ 100

This is a rational number

Answer:

f (x) = a(x - h)2 + k, where (h, k) is the vertex of the parabola. ... When written in "vertex form": • (h, k) is the vertex of the parabola, and x = h is the axis of symmetry.

Answer:

y =0.25(x-4 )^{2}-1

Step-by-step explanation:

The formula of vertex form is as follows:

Y = a(x-h)^2+k

h = the x value for the vertex (in this case it is 4)

k = the y value for the vertex (in this case it is -1)

If you input these into the equation you are left with:

Y = a(x-4)^2-1

To find 'a' I just entered this equation into the Desmos calculator and messed around with the value until the y-intercept was (8,3)

I hope this was able to help! ^_^

Answer:

136

Step-by-step explanation:

4 times 32 = 128

32/4=8

128+8=136

Answer:

135

Step-by-step explanation:

1. divide 32 by 60 to get how many copies per second

[tex]32/60 = 0.533[/tex]

2. convert 4min and 15 sec to seconds

it is 255 seconds

3. Multiply copies per second by number of seconds

[tex]0.533(255) = 135.91[/tex]

4. Round down to whole number because you can't copy part of a paper

Answer:

10

Step-by-step explanation:

2x(+5)=(25)< subtract 5 to each side

2x=20<divide 2 to 20

x=10

Answer:

9

Step-by-step explanation:

two negatives make a positve

Answer:

-9

Step-by-step explanation:

Whenever you are given an expression, first look at it. Since there are two negative signs in the equation, they cancel out, leaving a nine. The opposite value most likely means that the sign is the opposite, so you end up with -9 as the value.

Answer: the lengths of the line segments. hope this helps!

Step-by-step explanation:

Answer: 60 feet

Step-by-step explanation:

Fron the question, we have been told to use a scale factor of 1 inch:12 feet. This simply means that 1 inch has been represented to 12 feet of the actual dimension.

We are further told that a plastic toy bird has a wingspan of 5 inches. The actual bird wingspan will therefore be 5 multiplied by 12 feet and this will be:

= 5 × 12 feet

= 60 feet

A plastic toy bird that has a wingspan of 5 inches has an actual bird wingspan of 60 feet

8,45=845/100 dür.

[tex]\frac{845}{100} .\frac{1}{100}[/tex]

that is;

845/100000

namely

0,000845

My answer to the question is 0.0845.

You just need to move 2 times to the left...

Answer:

Pattern

Step-by-step explanation:

It is a pattern because on X it goes down one. On Y it goes down 3.

Answer:

Function is a reflection and dilation of function f.

Step-by-step explanation:

A reflection gives the mirror image of function.

A function can be reflected about an axis by multiplying by -1.

To reflect function about the x-axis, multiply f(x) by -1 to get -f(x).

The correct option is: B. Function h is a reflection and a dilation of function f.

-----------------------

The functions are:

[tex]f(x) = 2^x[/tex]

[tex]g(x) = -3 \times 2^x[/tex]

It can be seed that g is f multiplied by -3.

In the image at the end of this question, it can be seen that the g, the blue graph, is a reflected and dilated version of f, the red graph.

Thus, the correct answer is:

B. Function h is a reflection and a dilation of function f.

A similar problem is found at https://brainly.com/question/17673148

Answer:

2y = 7x - 19

Step-by-step explanation:

can you accept my invite plz i wanna chat

and is it right

Answer:

(-3,8)

Step-by-step explanation:

formula

(y1+y2/2 ,X1+X2/2)

=(-5-1/2 ,7+9/2)

=(-6/2 ,16/2)

=(-3,8)

Answer:

The graph of linear inequalities include a dashed line if they are greater than or less than but not equal to. Linear equations, on the other hand, include a solid line in every situation. Moreover, linear inequalities include shaded regions whereas linear equations do not.

Step-by-step explanation:

(1.25)t=gallons    so 1.25 times the ammound of hours

Answer:

Step-by-step explanation:

Terms with same variables are like terms

1) 10x + 3y + 5x

Here, 10x and 5x are like terms. so add them

10x + 5x + 3y = 15x +3y

2)2x + 7y +4x + 6x = 2x + 4x + 6x + 7y = 12x + 7y

3)9y+ 3y +5x = 12y +5x

4)2y +7y +4y +6y = 19y

5)8x + y - 2x = 8x  -2x + y = 6x + y

6) x + 7y -4y +9x = x +9x  + 7y - 4y    = 10x + 3y

8) 5y +5y +5y +5x = 15y + 5x

Answer:

-4x^3 + 7y^3 + 5

Step-by-step explanation:

7y^3 - 7x^3 + 4 - 5 + 6 - 3x^3 + 6x^3     Given

7y^3  - 7x^3 - 3x^3 + 6x^3 + 4 - 5 + 6     Rearrange

7y^3 - 4x^3 + 5                                        Combine the like terms

or

-4x^3 + 7y^3 + 5                                       Answer

Answer:

x=-3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−21+6x=3(3x−5)−x

−21+6x=(3)(3x)+(3)(−5)+−x(Distribute)

−21+6x=9x+−15+−x

6x−21=(9x+−x)+(−15)(Combine Like Terms)

6x−21=8x+−15

6x−21=8x−15

Step 2: Subtract 8x from both sides.

6x−21−8x=8x−15−8x

−2x−21=−15

Step 3: Add 21 to both sides.

−2x−21+21=−15+21

−2x=6

Step 4: Divide both sides by -2.

−2x

−2

=

6

−2

Answer:

[tex]x\geq -4[/tex]

Step-by-step explanation:

So we have the inequality:

[tex]3(x+6)-2(x+2)\geq 10[/tex]

First, distribute:

[tex](3x+18)+(-2x-4)\geq 10[/tex]

Combine like terms:

[tex](3x-2x)+(18-4)\geq 10[/tex]

Add:

[tex]x+14\geq 10[/tex]

Subtract 22 from both sides:

[tex]x\geq -4[/tex]

And we're done!

Answer:

in the proprety of the number of negs and postive and y the graph -23+y=8 being that the nuber is -15

=================================================

Explanation:

Multiply the two values to get 4*15 = 60

Then divide by the GCF 1 to get 60/1 = 60. The GCF being 1 means the result hasn't changed.

------

Another example would be: "Find the LCM of 6 and 8". We would first do 6*8 = 48, then divide by the GCF 2 to get 48/2 = 24. The LCM of 6 and 8 is 24.

Answer:

60

Step-by-step explanation: