Paolo is solving the inequality 15+2x>31.

To solve the inequality, he begins by solving the equation as shown.

Which number line represents the solution to the inequality?

Answer:

[tex]-2b^2+17b-15[/tex]

Step-by-step explanation:

Given expression:

[tex](b^2+13b-9)-(6-4b+3b^2)[/tex]

Apply rule [tex](a)=a[/tex]:

[tex]=b^2+13b-9-(6-4b+3b^2)[/tex]

Apply the distributive law  [tex]-(a-b)=-a+b[/tex] :

[tex]=b^2+13b-9-6+4b-3b^2[/tex]

Subtract the numbers:

[tex]=b^2+13b-15+4b-3b^2[/tex]

Group like terms:

[tex]=b^2-3b^2+13b+4b-15[/tex]

Combine like terms:

[tex]=-2b^2+17b-15[/tex]

Answer:The solution is in the attached file

Step-by-step explanation:

Answer:

25.12 feet

.............................

Answer:

C = 25.12 Ft.

Step-by-step explanation:

Formula: C = 2πr

C = 2π (4)

C = 8π

C = 8 (3.14)

C = 25.12 Feet

Answer:

D, B, E

Step-by-step explanation:

Try plotting the graph on desmos

Answer:

7.8 is 7.81 because it hasn't changed 1-5 doesn't round up and this one didn't therefore the answer is 7.81 or 7.809

Answer:

x^3+2x+2+2/x

Step-by-step explanation:

The mean of the data set is 6.8.

Mean is the average value of the given set of observations. In statistics, we also come across different types of mean such as Arithmetic, Geometric and Harmonic mean.

Given

The data set is 14, 7, 2, 8, 3.

The mean of the data set is given by;

[tex]\rm Mean = \dfrac{Sum \ of \ all \ data}{Number \ of \ data}\\\\Mean =\dfrac{14+7+2+8+3}{5}\\\\Mean = \dfrac{34}{5}\\\\Mean=6.8[/tex]

Hence, the mean of the data set is 6.8.

To know more about mean value click the link given below.

https://brainly.com/question/4209766

Answer:

-2.8 or -14/5

Step-by-step explanation:

To divide one fraction by another, there is a really cool method called Keep Change Flip

Keep the first fraction

Change the division sign to multiplication

Flip the numbers on the last fraction

Let's try it out.

Keep the 1/5

Change the ÷ to a ×

Flip the -1/14 to a -14/1

1/5 × -14/1

Multiply the top numbers by each other first

1 × -14 = -14

Now the bottom numbers

5 × -1 = -5

The fraction we have now is -14/5

It can also be written as -2.8

Answer:

83, acute

Step-by-step explanation:

49 + 48 + x = 180

97 + x = 180

x = 83

All angles are smaller than 90 so they all are acute and that makes this trinagle an acute triangle. So cute! :)

Have a great day!!

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Answer: 121 meters

Step-by-step explanation:

In picture

Answer:

11

Step-by-step explanation:

Because it's +5 every number

Answer:

11

Step-by-step explanation:

-9 +5=-4

-4+5=1

1+5=6

6+5=11

Answer:

True, the diameter=2in and the circumference=6.28

Step-by-step explanation:

The circumference, C, of a circle is found by the following equation: C = 2 x pi x r where r equals the radius of the circle (or half its diameter) and pi = 3.14159 (a constant).

Thus, 6.28 = 2 x pi x r

Solving for r: 6.28/(2 x pi) = r

or: 6.28/(2 x 3.14) = 6.28/6.28 = r

thus r = 1 and since the diameter equals 2 x r, the diameter is 2.

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

Work Shown:

f(x) = x^3 - x^2 + x - 1

f ' (x) = 3x^2 - 2x + 1

f ' (2) = 3(2)^2 - 2(2) + 1

f ' (2) = 9

In step 2, I used the power rule [tex]\frac{d}{dx}x^n = nx^{n-1}[/tex]

Answer:

The STO button stands for store so it will save the number in the memory and to get it back press m

Answer:

x= -7              x= 5

Step-by-step explanation:

2x + 1 = -13

    -1      -1

2x    =   -14

/2           /2

x       =    -7

x + 2 + 4 = 11

x + 6 = 11

  -6    -6

x      =   5

hope this helps (:

The solutions of the given linear equations are:  x = 7, - 13; x = 6, - 7; x = 5, - 9, respectively.

A linear equation is an equation that has on or multiple variables with the highest power of the variable is 1.

Given equations are:

1. |3x + 9| = 30

⇒ ( |3x + 9| )² = (30)²

⇒ 9x² + 54x + 81 = 900

⇒ 9x² + 54x + 81 - 900 = 0

⇒ 9x² + 54x - 819 = 0

⇒ 9(x² + 6x - 91) = 0

⇒ (x² + 6x - 91) = 0

⇒ (x + 13)(x - 7) = 0

⇒ x = 7, - 13

2. |2x+1| = - 13

⇒ (|2x+1|)² = (- 13)²

⇒ 4x² + 4x + 1 = 169

⇒ 4x² + 4x - 168 = 0

⇒ 4(x² + x - 42)= 0

⇒ (x² + x - 42)= 0

⇒(x - 6)(x + 7) = 0

⇒ x = 6, - 7

3. |x + 2| + 4 = 11

⇒ |x + 2| = 7

⇒ (|x + 2|)² = 7²

⇒ x² + 4x + 4 = 49

⇒ x² + 4x - 45 = 0

⇒ (x - 5)(x + 9) = 0

⇒ x = 5, - 9

Learn more about linear equation here: https://brainly.com/question/17038547

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Answer:

yes

Step-by-step explanation:

Answer:

D. hottub

Step-by-step explanation:

please mark me as brainliest....................

Answer:

C

Step-by-step explanation:

C because the symbol means Greater then or Equal too

So anything 90 or above would be true

Solution:

[tex]\text G\text i\text v\text e\text n\ \text e\text x\text p\text r\text e\text s\text s\text i\text o\text n: 20x^{3} + 34x^{2} + 6x[/tex]

Step-1: Find the GCF of the terms.

[tex]20x^{3} \ \ \ = \ \ \ 2 \times 2 \times 5 \times x \times x \times x \\34x^{2} \ \ \ = \ \ \ 2 \times 17 \times x \times x \\ 6x \ \ \ \ \ \ = \ \ \ 2 \times 3 \times x[/tex]

GCF = 2x

Step-2: Factor the expression using the GCF.

[tex]20x^{3} + 34x^{2} + 6x \\\\ {2x(10x^{2} + 17x + 3)}[/tex]

Step-3: Further factorize.

[tex]{2x(10x^{2} + 17x + 3)}[/tex]

[tex]2x(2x + 3)(5x + 1)[/tex]

Thus, the factorized expression is [tex]2x(2x + 3)(5x + 1)[/tex].

Answer:

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

You do 50% of 82 which is 41.

Answer: 41 empty barrels

Step-by-step explanation:

if Jack rolled 82 total barrels and 50% of them were empty, that is the same as taking 82 times .5, which gives us 41. This is how we know he rolled 41 empty barrels onto the ships deck.

Answer: Its D

Step-by-step explanation:

Thank me later.

Answer:

D

Step-by-step explanation:

4x - 12 - x  ≥ 3

Add 12 to both sides.

4x - x ≥ 15

Subtract x (or 1x) from 4x

4x - x = 3x

3x ≥ 15

Divide both sides by 3.

x ≥ 5

Hope I helped :)

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Answer:

Length = 45m

Breadth = 15m

Step-by-step explanation:

Dimensions of Rectangular field:

Let the breadth (B)=BC = x m

Length (L) = AB = 3x m

width of the road (w) = 5 m

Dimensions of inner rectangle:

length (l) = EF = L-2w

= 3x - 2×5

= (3x-10) m

breadth (b)=EH = B-2w

= (x-10) m

Given ,

Area of the path =500 m²

=> Area of ABCD - Area of EFGH = 500

=> L×B - l×b=500

=> (3x)× x - (3x-10)(x-10)=500

=> 3x²-(3x²-30x-10x+100)=500

=> 3x²-3x²+30x+10x-100=500

=> 40x=500+100

=> 40x = 600

=> x = 600/40

=> x = 15

Therefore,

Length (L) = 3x = 3×15 = 45m

Breadth (B) = x = 15m

Mark me as brainliest if it was helpful

Answer: 40 degrees

Step-by-step explanation:

Answer:

Multiplicative Identity

Step-by-step explanation:

This is what they all basically mean:

Additive Identity - addition

Associative Property - simplifying

Distributive Property - multiplying brackets, or expanding

Multiplicative Identity - multiplication

In this equation, you first expand 16(4x-1) which uses multiplication but only has one bracket meaning, you use multiplicative identity first.

Answer:

This matrix is amplified by exponential sequencing

Answer:

956

Step-by-step explanation:

Answer:

If the * is supposed to be multiplication, then my answer is : 2(x-y)/(x^2+y^2-xy)

Step-by-step explanation: