3. A solid has twelve more edges than faces. How many vertices does it have?

Prime factorization is shows you the only way a number can be factored.

Here are some examples:

6 = 2 x 3

(2 and 3 are prime numbers) If you need to, search up a prime chart of numbers. Also prime numbers is technically how small you can get a number.

Here are some more examples:

12 = 2 x 2 x 3

45 = 5 x 3 x 3

now that you see what it looks like, you may be wondering how did factor those out? Well first find a divisible number. lets use this example;

Factor out 42.

first think of your times table, what two numbers get you to 42, I know that 6 times 7 does so now write it out:

42 = 6 x 7

Is this equation done?

No it is not, 6 can still be factored.

What two numbers get you the product of 6?

they are 3 and 2.

Now the final factored out equation looks like this:

42 = 3 x 2 x 7

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

I hope this helps!

8) v = -3

9) m = 4

Explanation:

8)

[First distribute the factored terms on the left side of the equation]

2(v + 4) + 3(4v + 5) = -19 →

2(v) + 2(4) + 3(4v) + 3(5) = -19 →

2v + 8 + 12v + 15 = -19 →

[Next, add the like terms together]

(2v + 12v) + (8 + 15) = -19 →

14v + 23 = -19 →

[Subtract 23 from both sides to isolate the constant term]

14v + 23 – 23 = -19 – 23 →

14v = -42 →

[Lastly, divide both sides by 14 in order to obtain the value of v from the coefficient of 14 in 14v]

14v / 14 = -42 / 14 →

v = -3

9)

[Start by distributing the factored term on the left side of the equation]

2(m – 1) = 10 – m →

2m – 2 = 10 – m →

[Next, add m to both sides in order to isolate the m term and remove -m from the right side of the equation]

2m – 2 + m = 10 – m + m →

3m – 2 = 10 →

[Add 2 to both sides to isolate the constant term and remove -2 on the left side of the equation]

3m – 2 + 2 = 10 + 2 →

3m = 12 →

[Finally, divide by 3 on both sides in order to reduce the coefficient of 3 in 3m to get m]

3m / 3 = 12 / 3 →

m = 4

Answer:45 divided by 3 is 15

Step-by-step explanation:

Answer:

its 15

I'm bad at explaning

The degree of a polynomial is the value of the highest degree of a monomial in the polynomial

The degree of the polynomial h(x) is 5

The reason the above value is correct is as follows;

Given;

A zero of a polynomial function h(x) is the imaginary number, x = 3 - 4·i

The multiplicity of the root at x = 3 - 4·i is One

The given table showing the real roots of the polynomial is presented as follows;

[tex]\begin{array}{|c|cc|}\mathbf{x}&&\mathbf{h(x)}\\\displaystyle -5&&0\\-2&&3\\-1&&0\\1&&2\\4&&0\\7&&6\\10&&0\end{array}\right][/tex]

Required:

To find the degree of the polynomial, h(x)

Solution:

The maximum number of roots of a polynomial is given by the degree of the polynomial

The number of roots is given by the number zeros

The maximum number of roots an nth degree polynomial can have = n roots

From the given table, the number of zeros = 4 (each with multiplicity of one) = The number of real roots

Therefore, the total number of roots of the polynomial = 4 + 1 = 5 = The (minimum possible) degree of the polynomial

The degree of the polynomial = 5

Learn more about degree of a polynomial here:

https://brainly.com/question/2706981

Answer:

y = -3/4x + 12

Step-by-step explanation:

Use slope intercept form [ y = mx + b ], the point given, and the slope to find the y-intercept.

6 = -3/4(8) + b

6 = -6 + b

12 = b

Now input the values we are given and solved for into the formula.

y = -3/4x + 12

Best of Luck!

Answer:

P

1

:4x−2y+6z=3

P

2

=4x−2y−2z=6

P

3

=−6x+3y−9z=5

P

4

=2x−y−z=3

Step-by-step explanation:

The coefficients of each x,y,z give the direction vector of the normal vector of the plane.

Parallel but not identical condition will be that:

x

2

x

1

=

y

2

y

1

=

z

2

z

1



=

c

2

c

1

where each term is the coefficent of x,y,z respectively.

By observation we see P

2

and P

3

are parallel but not identical.

Answer:

look we solve it without options

4 - 2x = 24

4 - 2x -4 = 24 -4

SO FIRSTLY SUBTRACT 4

-2x = 20

-2x /-2 = 20 /-2

SO DIVIDE BY -2

X = - 10

So analyse options and u will know that option b is correct :))

Answer: 8.5 miles

Step-by-step explanation:

Given information

Base fee = $3.00

Fee per mile = $2.00

Distance = x

Total money spend = $20

Set equation

3 + 2x = 20

Subtract 3 on both sides

3 + 2x - 3 = 20 - 3

2x = 17

Divide 2 on both sides

2x / 2 = 17 / 2

[tex]\boxed{x=8.5}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Answer:

Standard form: [tex]4x + 3y = 18[/tex]

x-intercept:  [tex](\frac{9}{2} ,0)[/tex]

y-intercept: [tex](0,6)[/tex]

Graphed:

Step-by-step explanation:

Objective; Translating points

A translation is when we moving figures and points. We can represent a transformation algebraically and geometrically.

Algebracially:

[tex](x + h)[/tex]

where h is the amount of units we move right or left

and

[tex](y + k)[/tex]

where k is the amount of units we move up or down

For 1. We are asked to translate the figure 3 units up and 7 units to the left.

7 units to the left is the same as subtracting 7 . from x valyes. and 3 units up is is same as adding 3 units to the y values, so subtract 7 from every x coovalues. and add 3 to every y value. is

Our new coordinates

E is (-5,3) F is (-2,4) G is (-3,5) H is (-5,5).

2. 6 units right and 8 units up is basically add 6 to every x value and add 8 to every y value.

So our new coordinates is

T' (1,3)

U' (4,3)

V'(4,5)

W'(1,5)

Answer:

its 18 trust

Step-by-step explanation:

Answer:

B or 70 because 2 lines are congruent so that means the angles are congruent so 180-40=140 and 140/2=70

Answer:

15 m and 20 m

Step-by-step explanation:

Let the width be x

Length = x + 5

Perimeter = 2(l + b)

70 = 2(x + 5 + x)

70/2 = 2x + 5

35 = 2x + 5

35 - 5 = 2x

30 = 2x

30/2 = x

15 = x

Length = x + 5 = 20 m

Breadth = x = 15 m

[tex] \large \mathfrak{Answer : }[/tex]

Simplified form of the above fraction is :

Answer: the simplest form is 4/7

Step-by-step explanation:

Answer:

∠ WOT = 85

Step-by-step explanation:

To find the measure of ∠WOT

we know that ∠UOV is 180 in the pic

so by letting ∠WOT = x

∠UOT + ∠WOT + ∠WOV = 180

30 + x + 65 = 180

95 + x = 180

x = 180-95

x = 85

so ∠ WOT = 85

Answer:

33

Step-by-step explanation:

14 - 8 + 3 + 8 × [24 ÷ 8] =

14 - 8 + 3 + 8 × 3 =

14 - 8 + 3 + 24 =

6 + 3 + 24 =

9 + 24 =

33

Answer:

14-20×(24÷8)=-6×{3}=-18

Answer:

Sqrt 80 = 4 sqrt 5

Step-by-step explanation:

Sqrt [(6-2)^2 + (4 - - 4)^2

= sqrt. (4^2 + 8^2) = sqrt (16 + 64)

= sqrt 80

= 4 sqrt 5

Answer:

6x^2-4x-10

Step-by-step explanation:

Do you need to show work?

Hello :D

To do this you need to add the cost of the violin and the song book.

$72.21 + $7.25 = $79.46

$100 - $79.46 = $20.54

The answer is $20.54. I hope this helps :)

[tex]\\ \sf\longmapsto 4x+3x-5+2x+1=23[/tex]

[tex]\\ \sf\longmapsto 7x+2x-5+1=23[/tex]

[tex]\\ \sf\longmapsto 9x-4=23[/tex]

[tex]\\ \sf\longmapsto 9x=23+4[/tex]

[tex]\\ \sf\longmapsto 9x=27[/tex]

[tex]\\ \sf\longmapsto x=\dfrac{27}{9}[/tex]

[tex]\\ \sf\longmapsto x=3[/tex]

Answer:

x = 3

Step-by-step explanation:

First, we know that the perimeter in total is 23. So, we need to make sure that all of the sides combined are 23. The equation becomes:

3x - 5 + 2x + 1 + 4x = 23

Let's simplify this.

3x + 2x + 4x - 5 + 1 = 23

Simplify again.

3x + 2x + 4x - 5 + 1 = 23

5x + 4x - 5 + 1 = 23

9x - 5 + 1 = 23

9x - 4 = 23

Now we have the simplified equation of 9x - 4 = 23. Now we must solve for x.

9x - 4 (+ 4) = 23 (+ 4)

9x = 27

9      9

x = 3

Now we can see that x = 3, which should be our answer. To make sure, let's plug it into the equation.

[3(3) - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [2(3) + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + [4(3)] = 23

[9 - 5] + [6 + 1] + 12 = 23

4 + [6 + 1] + 12 = 23

4 + 7 + 12 = 23

11 + 12 = 23

23 = 23

As you can see, we got the answer 23 = 23. That indeed means that x = 3. Hope this helps!

Answer:

80$ per week if you mean only 2 siblings

100$ per week if you mean the first child plus 2 siblings

Step-by-step explanation:

हसब्झन्झजझ हज जज्ज जनक ककक्कजज्ज

[tex] \frac{2 {x}^{5} }{15} + \frac{ {x}^{4} }{4} - \frac{ {x}^{3} }{6} + c[/tex]

simplified form =

[tex] \frac{ {x}^{3}(8 {x}^{2} + 15x - 10) }{60} + c[/tex]

Answer:

its 3hdnndndjsjshnanajzh z

Answer:X=-15

Step-by-step explanation:

-4x/5=12

5x-4x/5=5x12

-4x=5x12

-4x=60

-4x/-4=60/-4

x=-15

Answer:

5×-4/5x=12×5

-4x=60

x=-5

Answer:

2/5

Step-by-step explanation:

Step-by-step explanation:

1. Line l can be named as line FBD

2. B and C

3. Colinear:-A,B,C

No-Colinear:-F,B,C

4. 6

5. DE = 13

2 + 2x - 3 = 13

2x - 1 = 13

2x = 12

x = 12/2

x = 6

Answer:

The intersection of line l is AC and the intersection of line m is FD.

Intersection line means the line which passes the line by crossing it.

Answer:

136 miles

Step-by-step explanation:

Write an equation to represent the cost of the rental, and then solve the equation to find the number of miles.

Let x = number of miles.

The total cost is the cost per mile plus the base fee.

1 mile costs $0.90

2 miles cost $0.90 * 2

x miles cost $0.90 * x, or simply 0.9x

The base fee is $16.95, so the total to rent for x miles is 0.9x + 16.95

The equation

c = 0.9x + 16.95

gives you the cost, c, for a rental of x miles.

We are told the total cost was $139.35. Replace c with 139.35, and solve for x, the number of miles.

139.35 = 0.9x + 16.95

Switch sides.  

0.9x + 16.95 = 139.35

Subtract 16.95 from both sides.

0.9x = 122.4

Divide both sides by 0.9

x = 122.4/0.9

x = 136

Answer: 136 miles

the answer is C. -1

Step-by-step explanation:

-1 is the smallest number