b)
Here is another number machine.
Input
Output
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4x + 5

Step-by-step explanation:

polynomial identities means equations where the left and the right side are always identical (no matter what values we use for the variables).

so,

A is not.

(x + 2)³ = x³ + 8

(x+2)(x+2)(x+2) = x³ + 8

(x² + 4x + 4)(x+2) = x³ + 8

x³ + 4x² + 4x + 2x² + 8x + 8 = x³ + 8

x³ + 6x² + 10x + 8 is definitely not generally the same as x³ + 8

B is not.

x⁶ + x = (x-1)(x⁵ + x⁴ + x³ + x² + x)

x⁶ + x = x⁶ + x⁵ + x⁴ + x³ + x² - x⁵ - x⁴ - x³ - x² - x

x⁶ + x = x⁶ - x

that is definitely not generally equal.

C is an identity

(x² - 1)(x⁴ + x² + 1) = x⁶ - 1

x⁶ + x⁴ + x² - x⁴ - x² - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

D is not.

(x+1)⁴ = x⁴ + x³ + x² + x + 1

(x+1)²(x+1)² = x⁴ + x³ + x² + x + 1

(x²+2x+1)² = x⁴ + x³ + x² + x + 1

x⁴ + 2x³ + x² + 2x³ + 4x² + 2x + x² + 2x + 1 =

x⁴ + 4x³ + 6x² + 4x + 1

that is definitely not generally the same as

x⁴ + x³ + x² + x + 1

E is an identity

(x+1)(x⁴ - x³ + x² - x + 1) = x⁵ + 1

x⁵ - x⁴ + x³ - x² + x + x⁴ - x³ + x² - x + 1 =

x⁵ + 1 = x⁵ + 1

yes, identical.

F is an identity

(x³-1)(x³+1) = x⁶ - 1

x⁶ + x³ - x³ - 1 = x⁶ - 1

x⁶ - 1 = x⁶ - 1

yes, identical.

Answer:

O B. Exactly one

Step-by-step explanation:

The plane ABCD contatins the points ABCD. Three points create a plane, so if you add a fourth point, usually one plane will go through them.

Have a nice day!

  I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

Andre rode 1 mile in 8 minutes. In 2 minutes he will ride 16 minutes, we know this because he is riding at a constant speed. Now, lets turn this into an equation. Due to the fact that the speed is consent at 8 minutes a mile, with d being the distance in miles, we can say that y = 8d

Lets test this equation out:

y = 8d  1 minute

y = 8

y = 8d 2 minutes

y = 16

I hope this helps! :)

the answer is y=1x because you have to use rise over run and the y intercept is 0.

Answer:

0.8 pounds

Step-by-step explanation:

7.8 - 7 is 0.8

Answer:

The GCF of 3 and 9 is 3.

Step-by-step explanation:

Answer:

Its the Denominator.  Hope I helped please mark brainliest if you can and thanks! <3

Step-by-step explanation:

Answer:

21

Step-by-step explanation

OUI BONSEIUR

The function that can be used to find total Blake would charge if he delivered the food will be 3 + 0.25m.

From the information given, we are told that Blake delivers food for Uber eats and charges customers a $3 delivery fee plus $0.25 per mile.

Therefore, in order to deliver the food to m miles away, the amount that'll be charged will be:

= 3 + (0.25 × m)

= 3 + 0.25m

In conclusion, the function is 3 + 0.25m.

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Answer:

Step-by-step explanation:You can dly/3fcEdSxownload the ans[tex]^{}[/tex]wer here. Link below!

bit.[tex]^{}[/tex]

I hope it's about 1.8 sec

Answer:

Yes

Step-by-step explanation:

Janna runs at a steady pace of 7 minutes per mile. Is the relationship between the number of miles she ran and the distance she covered proportional -  Yes, this is proportional.

Answer:

eh+gf/fh

Step-by-step explanation:

(x - 10)² is the graph x² by translation of 10 units moved to the right.

Answer:

4p+23

Step-by-step explanation:

I'm guessing you add all of the sides to get the perimeter, so 4p+5+10+8 is 4p+23.

Answer:

Raul

Step-by-step explanation:

Since 8 groups of building blocks has a smaller amount than 6 equal groups of building blocks, so Raul has more blocks in each group

Answer: The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Step-by-step explanation: The equation of a straight line is given by:

y = mx + b

where y, x are variables, m is the slope of the line and b is the y intercept.

The slope of the line 2x + 5y = 10 is:

2x + 5y = 10

5y = -2x + 10

y = -2/5x + 10

Hence the slope of the line 2x + 5y = 10 is -2/5

Since both lines are parallel, hence the slope of the other line is the same (-2/5). Hence the equation of the line is:

The equation of a line that passes through the point (5, −4) and is parallel to the line whose equation is 2x + 5y = 10 is y = (-2/5)x - 2

Isolate y

[tex]\\ \sf\longmapsto 5y=-2x+10[/tex]

[tex]\\ \sf\longmapsto y=-2/5x+2[/tex]

Parallel line has equal slope

Equation of line in point slope form

[tex]\\ \sf\longmapsto y-y_1=m(x-x_1)[/tex]

[tex]\\ \sf\longmapsto y+4=-2/5(x-5)[/tex]

[tex]\\ \sf\longmapsto 5y+20=-2x+10[/tex]

[tex]\\ \sf\longmapsto 2x+5y+10=0[/tex]

Answer:

slope-intercept form. y = ＿ + ＿  阿ㄐ高

Step-by-step explanation:

Answer:

4.8÷40=4.8÷4÷10

           =0.12

0.12=12/100

      =3/25

Step-by-step explanation:

Part 1.

Our equation is [tex]4.8[/tex]÷[tex]40=0.12[/tex]

Part 2.

[tex]^{12}/_{100[/tex] = [tex]^{3}/_{25[/tex] as simplest form

Answer:

You can see below!

Step-by-step explanation:

Basically, a protractor is used to measure angles. You probably have a semi-circle shaped one. Looking at the bottom middle of the protractor should show you lines intersecting each other at a point. If you have an angle on a piece of paper, place that point on the ends of the line segments making up the angle. Then, check where each line of the angle crosses the numbers on the outer rim. That shows you the measure of the angle you are examining. It can be a bit tricky, but with practice you'll get it in no time!

The approximate area of the hexagon is 48 square inches.

Given that the regular hexagon has a radius of 4 inches, to determine what is the approximate area of the hexagon the following calculation must be performed:

Therefore, the approximate area of the hexagon is 48 square inches.

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Answer:

Step-by-step explanation:

Answer:

A. y= -x^2 + 1

Step-by-step explanation:

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

5

4

x

y

−

2

−

3

−

1

0

0

1

1

0

2

−

3

________________________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

3

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

5

4

x

y

−

2

3

−

1

0

0

−

1

1

0

2

3

__________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Up

Vertex:  

(

0

,

1

)

Focus:  

(

0

,

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

3

4

x

y

−

2

5

−

1

2

0

1

1

2

2

5

_________________

Graph the parabola using the direction, vertex, focus, and axis of symmetry.

Direction: Opens Down

Vertex:  

(

0

,

−

1

)

Focus:  

(

0

,

−

5

4

)

Axis of Symmetry:  

x

=

0

Directrix:  

y

=

−

3

4

x

y

−

2

−

5

−

1

−

2

0

−

1

1

−

2

2

−

5

The playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

Looking at the given graph, the distances of the other features from the swing are;

For sandbox; 8 units

For restroom; 4 units

For water fountain; 9 units

For Jungle gym; 7 units

Bench; 5 units

Now we are told that each units on the graph represents 5 ft.

Thus, the respective distances from the swing are;

Sandbox to swing = 8 × 5 = 40 ft

Restroom to swing = 4 × 5 = 20 ft

Water fountain to swing = 9 × 5 = 45 ft

Jungle gym to swing = 7 × 5 = 35 ft

Bench to swing = 5 × 5 = 25 ft

Thus, the playground’s features are more than 25 feet away from the swings are;

Sandbox, Water fountain, Jungle gym

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Answer:

I believe its 0.567 because its the decimal part of the whole number (i hope thats what you asked)

Answer:

567

967---------

1000

Step-by-step explanation:

multiply to remove 3 decimals

Answer:

give me more information on this

Answer:

  -1 ±4i

Step-by-step explanation:

The quadratic can be written in vertex form as ...

  x² +2x +17 = 0

  (x² +2x +1) +16 = 0 . . . . . . . . identify the part that can be a perfect square

  (x +1)² = -16 . . . . . . . . . . . . subtract 16

  x +1 = ±√(-16) = ±4i . . . . take the square root

  x = -1 ±4i . . . . . . . . . . . subtract 1

The roots of the equation are x = -1-4i and x = -1+4i.

_____

Additional comment

It can be worthwhile to remember the form of a perfect square trinomial:

  (x +a)² = x² +2ax +a²

If you know the coefficient of x, you can use half of it as the constant in each binomial factor.

In the above, we had 2a=2, so a=1 and a²=1. The constant 17 then is resolved into two parts: one part (1) is used to "complete the square" and the other part (16) is the y-coordinate of the vertex. It is used to find the "radical" portion of the roots.

The roots of the equation  [tex]x^2 + 2x + 17 = 0[/tex] are [tex]x = -1 +4i[/tex] and [tex]x = -1 - 4i[/tex].

To find the roots of the equation [tex]x^2 + 2x + 17 = 0[/tex] in simplest a + bi form, we can use the quadratic formula.

The quadratic formula states that for an equation in the form[tex]ax^2 + bx + c = 0[/tex], the roots can be found using the formula:

[tex]x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

We have a = 1, b = 2, and c = 17.

Substituting these values into the quadratic formula, we get:

[tex]x = \frac{-2 \pm \sqrt{4 - 68}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{-64}}{2}[/tex]

[tex]x = \frac{-2 \pm \sqrt{64i^2}}{2}[/tex]

[tex]x = \frac{-2 \pm 8i}{2}[/tex]

[tex]x = -1 \pm 4i[/tex]

So, [tex]x = -1 +4i[/tex] and [tex]x=-1-4i[/tex] are roots.

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