which of the following recursive formulas represents the same arithmetic sequence as the explicit formula an= -2 + (n-1)3?

Answer:

sales tax is $0.6

total cost is $20.60

Step-by-step explanation:

20*0.03=0.6

20*1.03=20.6

Answer:

x = 55 degrees

Step-by-step explanation:

180 - 164 = 16. 16 + 109 = 125. A triangle's angles should add up to 180, so to find the value of x, subtract 180 by 125 and you'll get 55.

Answer:55

Step-by-step explanation:

Steps below

Answer:

x = 21

y = 114

Step-by-step explanation:

Here, we are to find the values of x and y

Mathematically;

3x - 15 + 6x + 6 = 180

reason for this is that opposite interior angles are supplementary, they add up to 180

9x-9 = 180

9x = 180 + 9

9x = 189

x = 189/9

x = 21

Also;

3x-15 + y + 18 = 180

Reason for this is that angles on a straight line are supplementary

Recall, x = 21

3(21)-15 + y + 18 = 180

63-15 + y + 18 = 180

y = 180-66

y = 114 degrees

Answer:

Definition of equilateral triangle

Step-by-step explanation:

All sides of equilateral triangles are equal.

Answer:

7x - 6

General Formulas and Concepts:

Pre-Algebra

Algebra I

Step-by-step explanation:

Step 1: Define

5x + 2(x - 3)

Step 2: Simplify

Combining like terms is a process where you combine the terms with the same variable and/or exponent.

Let's say that we have an expression 3p + 3q. We can't combine the like terms, because 3p and 3q have different variables.

Now, what is the distributive property?

The distributive property is a property used for multiplying a monomial by a binomial or trinomial by "distributing" the monomial. The distributive property has a formula, which is:

[tex]\sf{a(b+c)=ab+ac}[/tex]

Here, a got multiplied by b and c.

Similarly, we combine the terms:

[tex]\sf{5x+2(x-3)}[/tex]

Simplify:

[tex]\sf{5x+2x-6}[/tex]

Combine like terms:

[tex]\sf{7x-6}[/tex]

Hence, the simplified answer is 7x - 6.

Answer: 56mm

Step-by-step explanation:

A=(a+b)/2 x h

A=(4+12)/2 x 7

A=16/2 x 7

A=8 x 7

A= 56mm

Answer:

the answer is 34.

Step-by-step explanation:

the Phythagorean theorem is a^2 + b^2 = c^2.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

Answer:

y = -3x + 10

Step-by-step explanation:

The image below shows proof that the equation y = -3x + 10 is the line that passes through the points (3, 1) and (0, 10).

Hope this helps! :)

Step-by-step explanation:

Make a graph and mark the points take the first number of each point and multiply them and your answer is three x.

Hey honey text me back please?

Answer:

the weight of that object on earth is 90N

then on moon it will be 90/6 = 15N

Answer:

tan 272 < 0 is the correct answer

Step-by-step explanation:

Firstly, we need to understand the quadrant in which we have the angle

Mathematically, angle 272 is on the 4th quadrant

On the 4th quadrant, only the cosine value is positive, sine and tangent values are negative

Hence, we have that tan 272 < 0

is the correct answer

Answer: A. tan 272° < 0

Step-by-step explanation:

Ap3x Approved

Answer:

pentagon

is 14 units

cannot be determined

Step-by-step explanation:

Answer:

Step-by-step explanation:

Use the polygon on the coordinate plane to complete the statements. This polygon is a The length of - Brainly.com

yw thanks for the points have a nice day :}

Answer:

The length of the missing side is

[tex]4 \sqrt{5} \\ if \: you \: want \: it \: not \: simplified \: it \: would \: be \: \\ \sqrt{80} [/tex]

Step-by-step explanation:

You could do Pythagorean theorem which is:

[tex] {a}^{2} + {b}^{2} = {c}^{2} \\ {8}^{2} + {4}^{2} = {c}^{2} \\{64} + {16} = {c}^{2} \\ \sqrt{80} = {c}^{2} \\ 4\sqrt{5} = c[/tex]

Answer: well if they leave at the same time and one leaves 5mph faster than the other then...

Step-by-step explanation: ... it will take 15 hours for them to be 700 miles apart

Hi!

The equation we're working with is in slope-intercept form:

[tex]\diamondsuit~\boldsymbol{y=mx+b}[/tex]

Where:

[tex]\diamondsuit[/tex] [tex]\boldsymbol{m- > slope}[/tex]

[tex]\diamondsuit~\boldsymbol{b- > y-intercept}[/tex]

Therefore,

[tex]\stackrel{\heartsuit}{\boxed{\boxed{\textsc{Answers:}\begin{cases}\bold{Slope:4}\\\bold{-5}\end{cases}}}}[/tex]

I hope that helped, have a wonderful rest of your day! :)

The slope of the line is 4 and the y-intercept of the line is -5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

m = slope

c = y-intercept

Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )

The given equation of the line is y = 4x - 5. Compare the equation with the general form of the equation,

y = mx + c

y = 4x - 5

Slope m = 4

Y-intercept = -5

Therefore, the slope of the line is 4 and the y-intercept of the line is -5.

To know more about an equation of the line follow

https://brainly.com/question/18831322

#SPJ2

Answer:

Y=4,-5/6

Step-by-step explanation:

Answer:

1. y=4

2. y= -6/5

Step-by-step explanation:

Answer:

224

Step-by-step explanation:

1. first divide 8/2 in the parentheses which will give you 4

2. Then multiply 4 to 8 which will give you 32

3. finally multiply 32 to 7 which will give you an answer of 224

Answer:

y= x + 5

Step-by-step explanation:

i took the test

Answer:

C) commutative

Step-by-step explanation:

Example: a x b = b x a

Answer:

Katherine will pay $55.24.

Step-by-step explanation:

32.78 + 27.24 + 5.22

= 65.24

65.24 - 10

= 55.24

Katherine will pay $55.24.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

5m to 11m simplified to a ratio would be 5:11.

Step-by-step explanation:

To calculate ratios, try to think of them as fractions instead.

When a ration is expressed in the "a to b" form, you can actually treat it as [tex]\frac{a}{b}[/tex]!

As an example, the ratio of 1 to 2 would be [tex]\frac{1}{2}[/tex]. and the ration of 5 to 9 would be [tex]\frac{5}{9}[/tex].

Hence, the ration of 5m to 11m would be [tex]\frac{5m}{11m}[/tex], which when simplified equals to [tex]\frac{5}{11}[/tex].

Now, we can do the opposite to the fraction! For example, [tex]\frac{10}{19}[/tex] would be equal to 10:19!

Hence, 5m to 11m simplified to a ratio would be 5:11!

Hope this helped!

Answer:

Original function;

y = logbX

Transformation;

y = -5/3logb(x + 2) - 6

Step-by-step explanation:

General form of a logarithmic function is given below;

y = logb X (log to base b)

Reflection over the y-axis

y value remains same, x becomes negative

y = - logb X

Vertical stretch by a factor of 5/3

This means that we multiply the whole function by 5/3

That will be;

y = -5/3logbX

Transformation right 2 units

This means that we add the value of 2 to the x-axis value

y = -5/3logb(x + 2)

transformation down 6 units

This means that we subtract 6 from the total y value

y = -5/3logb(x + 2) - 6

Answer:

A.  29.4

Step-by-step explanation:

5(3 1/5 + 2 4/5) - 0.6

5(6) - 0.6                                      parenthesis

30 - 0.6                                        multiplication

29.4                                              subtraction

Complete Question:

The given line segment has a midpoint at (3, 1). On a coordinate plane, a line goes through (2, 4), (3, 1), and (4, -2).

What is the equation, in slope-intercept form, of the perpendicular bisector of the given line segment?

Answer:

[tex]y = \frac{1}{3}x[/tex]

Step-by-step explanation:

From the question, we understand that the line goes through [tex](2, 4), (3, 1), and\ (4, -2).[/tex]

First, we calculate the slope of the above points

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (2,4)[/tex]

[tex](x_2,y_2) = (3,1)[/tex]

[tex]m = \frac{1 - 4}{3 - 2}[/tex]

[tex]m = \frac{-3}{1}[/tex]

[tex]m = -3[/tex]

Also; from the question, we understand that the line segment is perpendicular to the above points.

This slope (m2) of the line segment is calculated as:

[tex]m_2 = -\frac{1}{m}[/tex]

Substitute -3 for m

[tex]m_2 = -\frac{1}{-3}[/tex]

[tex]m_2 = \frac{1}{3}[/tex]

Lastly, we calculate the equation of the line using:

[tex]y - y_1 = m_2(x - x_1)[/tex]

The line segment has a midpoint at (3, 1)

So:

[tex]y - 1 = \frac{1}{3}(x - 3)[/tex]

Open bracket

[tex]y - 1 = \frac{1}{3}x - 1[/tex]

Add 1 to both sides

[tex]y - 1 +1= \frac{1}{3}x - 1+1[/tex]

[tex]y = \frac{1}{3}x[/tex]

Hence, the equation of the line segment is: [tex]y = \frac{1}{3}x[/tex]

Answer:

A. y = One-thirdx

Step-by-step explanation:

2020 Edge

Answer:

a) 1

b) 5

c) isosceles

Step-by-step explanation:

a) 1

b) 5

c) isosceles

Thank you

Answer:

2160 degrees

Step-by-step explanation:

The general equation to find the sum of interior angles in a polygon is;

[tex](n - 2) * 180[/tex]

Where "n" is the sides of the polygon.

Substitute in 14 for "n"

( 14 - 2 ) * 180

Solve;

( 14 - 2 ) * 180

12 * 180

2160