Making connections between arithmetic sequences and linear function


Use the graph or the formula to write the equation of the line in a slope intercept form

Making Connections Between Arithmetic Sequences And Linear FunctionUse The Graph Or The Formula To Write

Answers

Answer 1

Arithmetic sequences are those in which the difference between each subsequent phrase is a fixed number. This is shown by writing the equation for a line as y = mx+c, where m denotes the slope and c the y-intercept.

What is the relationship between arithmetic sequences and linear functions?The origin is the place where the X and Y axes always meet. Point (0, 0) on the XY plane is where the origin is situated. The XY plane is divided into four distinct quadrants using symmetry and the origin.Our origin will not be in the specified place if we added negatives to the axes as in the example presented. This indicates that the XY plane's four quadrants are not properly separated.This means that, as seen in the provided illustration, we are unable to include negatives on the axes. It primarily involves incorrect notation. A linear function is an algebraic sequence. Where d represents the common difference and c is a constant, we write an=dn+c in place of y=mx+b.

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Related Questions

If you divide 6! by 4! you are evaluating
P(6.4)
P(4, 6)
P(6. 2)​

Answers

Answer P (6.2) because 6 and 4 can both be divided by 2

Problem 3. Ryan and four of his friends were going to the movies. The movie tickets cost $8 each, they
bought two popcorns at $5.75, four drinks at $2.25, and two boxes of candy for $1.75. How much money did
they spend total?

Answers

For the four tickets and the rest of the prices seen up there, it would be $49.75, but if the problem meant that they bought EACH of something, then the total would be $64. :)

HELP! will give brainliest if you show work on how to get this answer below!


Solve for x. Check for extraneous solutions.
2+ sq root (x+18)=x

answer should be:
7(-2 is extraneous)

Answers

Kekskekeke

Step-by-step explanation:njbnmmk

Answer:

It should be 7! :)

Step-by-step explanation:

Isolate the radical, then raise each side of the equation to the power of its index.

The temperature of a city at sunset was -2°F. Overnight, the temperature decreased by 12°F. What was the lowest temperature overnight in that city?

Answers

Answer:-14°F

Step-by-step explanation:

-2°F -12°F is basically the same as 12°F+2°F which is 14°F and then you inverse it

Please, answer this one. Thank you! ​

Answers

Answer:

3

Step-by-step explanation:

Since LM = 9 and ST = 6 and those are corresponding sides, the ratio of any side from [tex]\triangle{PLM}[/tex] and its corresponding side from [tex]\triangle{UST}[/tex] is 9 to 6 which can be expressed as the fraction 9/6 or 3/2.

LQ and SR are corresponding segments, so set up two ratios.

[tex]\frac{LQ}{SR}=\frac{3}{2}\\\\\frac{x-1}{x-2}=\frac{3}2}[/tex]

Now "cross-multiply" (using what you may have seen called the Means-Extremes Property).

[tex]2(x-1)=3(x-2)\\\\2x-2=3x-6\\\\4=x[/tex]

Now put in 4 for x in the expression for LQ.

[tex]LQ=x-1=4-1=3[/tex]

HELP PLS
What is the perimeter of the triangle?

Answers

Answer:

[tex]p=48 ~units[/tex]

Step-by-step explanation:

[tex]x^2=12^2+9^2[/tex]

[tex]x^2=144+81[/tex]

[tex]x^2=2225[/tex]

[tex]x=15[/tex]

[tex]p=15+15+18[/tex]

[tex]p=48 ~units[/tex]

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

hope it helps...

have a great day!!

Answer:

p=48 units

Step-by-step explanation:

hope it helps..

The scatter plot shows the winning times, in minutes, in a track event over eight consecutive years.

Scatter plot with x axis labeled Time in Years and y axis labeled Winning Time, with points at 1 comma 5 and 4 tenths, 2 comma 5, 3 comma 4 and 6 tenths, 4 comma 4 and 9 tenths, 5 comma 4 and 1 tenth, 6 comma 3 and 9 tenths, 7 comma 3 and 6 tenths, and 8 comma 3 and 3 tenths.

Predict the winning time in year 10 of the race.

1.52 minutes
1.98 minutes
2.83 minutes
3.01 minutes

Answers

The predicted winning time in year 10 of the race is 2.83 minutes.

How to obtain the equation for the line of fit?

The equation for the line of fit is obtained inserting the points of the data-set into a linear regression calculator.

Given:

From the scatter plot, the points are given as follows:

(1, 5.4), (2, 5), (3, 4.6), (4, 4.9), (5, 4.1), (6, 3.9), (7, 3.6), (8, 3.3).

Inserting these points into the linear regression calculator, we get

y = -0.29x + 5.67.

Now, for x= 10 year

y = -0.29(10) + 5.67 = 2.77 minutes.

which is closest to 2.83 minutes.

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geometry stuff pls help

Answers

Answer:

Step-by-step explanation:

SQR-PRQ-SRP

SP/RP=RP/PQ

QP/QR=RQ/SQ

What is the laterral surface area?

Answers

Answer:

In other words, the surface area is the sum of all the areas of all the shapes that cover the surface of the object. On the other hand, the lateral surface area refers to the area of the sides of a shape , excluding its base and top area.

Step-by-step explanation:

please help me i can give brainliest!

If the mean and the median of a set of data is 25, is the data skewed left, skewed right, or symmetrical.

Answers

Answer:

skewed left

Step-by-step explanation:

A parabola can be represented by the equation x2 = -
20y.
What are the coordinates of the focus of the parabola?
O(-5,0)
O (5,0)
0 (0,5)
0 (0,-5)

Answers

Answer:

( 0 , -5 )

Step-by-step explanation:

The coordinates of the focus of the parabola is at (0, -5)

How to find the focus of a parabola

The standard formula of a parabola is given as:

y² = 4ax

Given a parabola represented by the equation x² = -20y

Determine the focus

The standard equation of the parabola facing downward is 4p(y-k)=(x-h)^2 where (h, k) is the focus.

Comparing with the given equation, the focus will be at (0, -5)

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43 inches tall. Each book 1/2 - inch thick

Answers

Answer:

If you're asking how many books there are its 86.

Step-by-step explanation:

If each book is 1/2 thick that means there are 2 books per inch.

Because there are 43 inches you're going to multiply by 2.

43(2)= 86.

Hope that helped, have a good day!

Find the common ratio of the geometric sequence 6, 24, 96, ...

Answers

Answer:

The common ratio is 4

Step-by-step explanation:

How?

Multiplying or dividing is how to get the common ratio in a geometric sequence (moving from either left to right or right to left) *in this question to be precise* okay so...

Moving from right to left, and dividing, 96 ÷ 24 is 4; 24 ÷6 is 4 so the common ration is still 4.

(To find the next terms, moving from left to right, and multiplying, multiply the previous term by the common ration, so the next term after 96 is 96 × 4, which is 384, and you continue....)

You are very welcome and good luck :)

Angle PQT = 140 degrees. What is the measure of angle OQR?
0
Р
a Q
R
140
S
T
U
V

Answers

Answer:

the angle oqr in degree is 40°

Tell whether 30 is divisible by 2

Answers

Answer: Yes

Step-by-step explanation

Since the number being divided has a 0, it can be divided by 2

HELP ME PLEASE, ILL GIVE BRANILIST FOR THE BEST CLEAR ANSWER :
William has a new puppy that has completely destroyed the carpet in his living room. If he wants to replace the carpet in the room, which is the best measure?
a
surface area
b
area
c
volume

Answers

Answer:

C. Area

hope this helped

# of faces?
# of edges?
# of vertices?
HELP (links= report)

Answers

Step-by-step explanation:

Face is 5 the edges is 10 the vertices is 12

Can someone help on this?

Answers

Answer:

x=0 and y=36

Step-by-step explanation:

30 + 6 equals 36 but it is negative so you would add 30 to negative thirty to get to zero and go into the positive numbers. So if you add 6 more you would have positive 6. so it it 36 y is 36

What is the length of the unlabled side of the triangle?

Answers

Answer:

a or b (probably a)

Step-by-step explanation:

Write the ratio, Explain what the ratio means . 6 basketballs to 4 soccer balls

Answers

Answer:

6:4

This ratio means that for every 6 basketballs there are 4 soccer balls.

please answer correctly !!!!! Will mark Brianliest !!!!!!!!!!!!!!

Answers

Answer:

89/80

Step-by-step explanation:

cos = adjacent/hypotenuse

Answer:

80/89

Step-by-step explanation:

Find the area of the circle .Round your answers the nearest whole number if necessary.use 3.14 or 22/7
Please help

Answers

3.14 is pie so u just need to round 10 in. to 22/7

The table shows the ratio between the number of tickets ordered and their cost: Number of Tickets Cost (dollars) 5 20 7 28 9 36 Find equivalent ratios when the number of tickets ordered is 1, 2, and 3. Write them as ordered pairs in the form (x-coordinate, y-coordinate). Starting from the origin, explain how to plot the three equivalent ratios on a coordinate grid. (10 points)

Answers

9514 1404 393

Answer:

(1, 4)(2, 8)(3, 12)

Step-by-step explanation:

The ratios all have ...

  first number : second number = 1 : 4

Using first numbers of 1, 2, 3, the second numbers can be found by multiplying these by 4. (1, 4), (2, 8), (3, 12)

__

You plot these (x, y) points the same way you plot any point on a coordinate grid. The first (x) value is the horizontal distance from the vertical axis. Positive is to the right. The second (y) value is the vertical distance from the horizontal axis. Positive is up.

__

Of course, the origin is where the horizontal and vertical axes meet. It can be convenient to find one of the coordinates on its respective axis, then use the other coordinate to find the point at the desired distance from that axis.

Usually, you would choose the axis on the basis of how easy it is to determine exactly where the coordinate lies. If the y-axis is marked every 5, for example, it might be hard to determine where a multiple of 4 will lie. Locating the x-coordinate on the x-axis may be an easier way to start.

If you could take one sample from the mystery bag in order to make a prediction, would you rather draw a sample of 10 marbles or a sample of 20 marbles. Explain your choice by referring to the representations of the two distributions.

Answers

I would choose to draw a sample of 20 marbles in order to make a more accurate prediction.

How to illustrate the sample?

In general, it is generally better to draw a larger sample if you are trying to make a prediction. This is because a larger sample will provide more information and will therefore lead to a more accurate prediction.

For example, imagine that you are trying to predict the proportion of red marbles in a bag based on the samples that you draw. If you draw a sample of 10 marbles, there is a good chance that the proportion of red marbles in your sample will be different from the true proportion of red marbles in the bag.

However, if you draw a sample of 20 marbles, the proportion of red marbles in your sample will be more likely to be closer to the true proportion of red marbles in the bag.

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Yoshi is standing on top of a building, looking at a park in the distance. The angle of depression is
53°. If the building he's standing on is 100 feet tall, how far away is the park to the nearest
hundredth of a foot?
105
53°
Park

Answers

100

Step-by-step explanation:

because after 105 it's 100

Consider y =f(x)=-3x+2 . Using space below, determine the equation that represents the inverse f(x)

Answers

Answer:   [tex]f^{-1}(\text{x}) = \frac{2-\text{x}}{3}[/tex]

Explanation:

Swap x and y, then solve for y to get the inverse.

[tex]f(\text{x}) = -3\text{x}+2\\\\\text{y} = -3\text{x}+2\\\\\text{x} = -3\text{y}+2\\\\\text{x}-2 = -3\text{y}\\\\\text{y} = \frac{\text{x}-2}{-3}\\\\\text{y} = \frac{2-\text{x}}{3}\\\\f^{-1}(\text{x}) = \frac{2-\text{x}}{3}\\\\[/tex]

When dad got the bill at the restaurant, it gave the cashier a coupon for 15% off his entire order. How much was the bill after the coupon

Answers

Answer:

This doesnt give enough things to answer

PLEASE HURRY 100 POINTS

Which expression represents the total surface area, in square meters, of the rectangular pyramid below?

A rectangular pyramid. The rectangular base has a length of 27.6 meters and height of 18.4 meters. 2 triangular sides have a base of 27.6 meters and height of 17.6 meters. 2 triangular sides have a base of 18.4 meters and height of 20.4 meters.
(18.4) (27.6) + 2 ((18.4) (20.4)) + 2 ((27.6) (17.6))
(18.4) (27.6) + 2 ((18.4) (22.4)) + 2 ((27.6) (22.4))
(18.4) (27.6) + 2 (one-half (18.4) (20.4)) + 2 (one-half (27.6) (17.6))
(18.4) (27.6) + 2 (one-half (18.4) (22.4)) + 2 (one-half (27.6) (22.4))

Answers

The answer is B
hope you have a good day or night

What is the value of x?

Answers

Answer:

130

Step-by-step explanation:

180-70=110

110+20=130

130 is the answer my friend

A bag drawing contains 2 red balls and18 green a ball is chosen at random from the bag

Answers

Probability of drawing a red ball:

Total number of balls = 2 + 18 = 20

number of red balls = 2

number of green balls = 18

total number of favourble outcomes = 2

probability = number of favourable outcomes/number of total outcomes.

= 2/20 = 1/10

Therefore probability of drawing a red ball is 1/10.

Probability of drawing a green ball:

total number of balls = 2 + 18 = 20

number of green balls = 18

number of red balls = 2

total number of favorable outcomes = 18

probability = number of favourable outcomes/number of total outcomes.

= 18/20 = 9/10

Therefore probability of drawing a green ball is 9/10.

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