Which of the following is true about the sequence graphed below? (and Why)

Options:

• The sequence is arithmetic because the terms have a common difference.
• The sequence is arithmetic because the terms do not have a common difference.
• The sequence is not arithmetic because the terms have a common difference.
• The sequence is not arithmetic because the terms do not have a common difference.

Which Of The Following Is True About The Sequence Graphed Below? (and Why)Options: The Sequence Is Arithmetic

Answers

Answer 1

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer 2

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]


Related Questions

You are standing 186 feet away from the base of a building and your clinometer
measures 23° when it's looking at the top of the building. (This angle is the one between
the ground and the top of the building). Please calculate the height of the building.

Answers

9514 1404 393

Answer:

  about 79 ft

Step-by-step explanation:

The relevant trig relation is ...

  Tan = Opposite/Adjacent

In this scenario, the angle is 23°, the adjacent side is the distance to the building, and the opposite side is the building height. Then we have ...

  height = tan(23°)·(186 ft) ≈ 78.95 ft ≈ 79 ft

Trash-A-Way charges $25 per month with an additional $0.25 per pound of trash that they pick up from your house. Garbage-No-More charges a flat fee of $45 per month. Write a system of equations to represent each plan. How many pounds of trash would make the two plans equal?

Answers

Answer:

look at the explanation

Step-by-step explanation:

Write an equation:

Trash a way : $25 + 0.25x

Garbage No More : $45 per month

so to make them equal we need to have enough trash in Trash A Way that it equals $45

25  + 0.25x =45

0.25x = 20

x = 80

So, you need to have 80 pounds of trash to make them equal

hope this helps!

please vote and heart!

5 a + 3 b + 2 a b + 4 a -7 b​

Answers

Answer:

5a+4a=9a

3b-7b=-4b

2ab

=9a-4b+2ab or 2ab+9a-4a

Step-by-step explanation:

Calculate liked terms

19) The x coordinate of a point that lies on the x-axis is negative.

Answers

Answer:

false

Step-by-step explanation:

i'm not sure if this is a true or false question, but if so, it is false

the x-axis has a positive side and a negative side, so the coordinate isn't necessarily negative. it could also be zero if the point is at the origin

hope this helps!

Which graph corresponds to the function f(x) = x2 + 4x – 1?

Answers

Answer:

1

Step-by-step explanation:

I graphed it to check. x^2+4x-1 has a vertex of (-2,-5).

What is the expected value?

Answers

Answer:

2.1

Step-by-step explanation:

The expected value of a probability is given by the formula:

E(x) = Σxp(x)

Therefore from the table showing the winnings of a game, the expected value of the probability distribution is:

E(x) = Σxp(x) = (0 * 0.5) + (2 * 0.2) + (4 * 0.15) + (6 * 0.1) + (10 * 0.05)

E(x) = 0 + 0.4 + 0.6 + 0.6 + 0.5 = 2.1

Hence we can conclude that the expected value of the winnings of the game is 2.1.

Solve the equation | 7x + 5| = |3x - 13|​

Answers

I 7X + 5 I = I 3X- 13I

7×+5 = 3x +13

7X-3x = 13-5

4x = 8

X= 8/4

X=2

A square has an area of 100 m squared. What is the length of each side?

Answers

Answer:

10m

Step-by-step explanation:

area of a square =s^2

therefore s^2=100

s= under root 100

= 10

Without using logarithm tables, find value of x in the equation:
log x³+ log5x =5log2-log⅖​

Answers

Answer:

[tex]x =2[/tex]

Step-by-step explanation:

Given

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Required

Find x

We have:

[tex]\log x\³+ \log5x =5\log2-\log\frac{2}{5}[/tex]

Apply exponent rule

[tex]\log x\³+ \log5x =\log2^5-\log\frac{2}{5}[/tex]

[tex]\log x\³+ \log5x =\log32 -\log\frac{2}{5}[/tex]

Apply product and quotient rules of logarithm

[tex]\log (x\³* 5x) =\log(32 \div \frac{2}{5})[/tex]

[tex]\log (5x^4) =\log(80)[/tex]

Cancel log on both sides

[tex]5x^4 = 80[/tex]

Divide by 5

[tex]x^4 = 16[/tex]

Take 4th roots of both sides

[tex]x =2[/tex]

Solve the equation.
8-2x = -8x + 14
O x=-1
Ox=-3/5
Ox= 3/5
Ox=1

Answers

The solution to the algebraic equation is x = 1. The last option is correct.

How do we solve a linear algebraic equation?

The solution to a linear algebraic equation can be achieved by finding the like terms and equating them to the constant variable.

From the given information:

8 - 2x = -8x + 14

Collecting the like terms, we have:

-2x + 8x = 14 - 8

6x = 6

Divide both sides by 6, we have:

x = 1

Learn more about solving linear algebraic equations here:

https://brainly.com/question/1365672

#SPJ1

dilations geometry!

Answers

Answer:

A' (0,20)

B' (30,-20)

C' (-10,-40)

Answered by GAUTHMATH

Jacob earned $80 babysitting and deposited the money into his saving account. The next week he spent $85 on video games. Use integers to describe the weekly changes in Jacob's savings account balance.

Answers

Answer:

Net change in money: decrease of $5

Step-by-step explanation:

supposing Jacob started with x dollars:

He gained $80 from babysitting: x+80

Lost 85: x + 80 - 85

--> x - 5

Therefore, at the end of the week, Jacob lost 5 dollars

Is the answer option c?

Answers

Answer:

yes

Step-by-step explanation:

f(x) = x^2 -1

Hope it helps!!

When Jonathan runs the 400 meter dash, his finishing times are normally distributed with a mean of 88 seconds and a standard deviation of 2.5 seconds. If Jonathan were to run 48 practice trials of the 400 meter dash, how many of those trials would be between 89 and 91 seconds, to the nearest whole number?

Answers

Answer:

3.18%

2 between 89   91

Step-by-step explanation:

*Probability-Between 3.18%

Z1=0.04 Z2=0.12

x-1 89

x-2 (not required) 91

µ 88

σ 25

A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?

Answers

i don't know please answer me

please help me! anyone pls

Answers

Answer:

Option c is the correct answer

Step-by-step explanation:

Reason : -

When,

x = 6, y = 3

x / y

= 6 / 3

= 2 / 1

= 2

When,

x = 10, y = 5

x / y

= 10 / 5

= 2 / 1

= 2

When,

x = 14, y = 7

x / y

= 14 / 7

= 2 / 1

= 2

These ordered pairs represents a proportional relationships.

pls somebody help me wth this

Answers

Answer:

8 puzzles, and 840 pieces

Step-by-step explanation:

420 / 4 = 105

630 / 6 = 105

Option 2 is the correct answer,

Reason

840 / 8 = 105

8 puzzles and 840 pieces

If [ -2 5 7 6] and |B| = -|A|, which matrix is matrix B?

Answers

|A| and |B| denote the determinants of the matrices A and B.

We have

[tex]|A| = \begin{vmatrix}-2&5\\7&6\end{vmatrix} = (-2)\times6-7\times5 = -12 - 35 = -47[/tex]

Then B is a matrix such that |B| = -|A| = +47.

The only choice satisfying this is C, since

[tex]\begin{vmatrix}12&1\\13&5\end{vmatrix} = 12\times5-13\times1 = 60 - 13 = 47[/tex]

15.
Identify a transformation of the function ƒ(x) = x by observing the equation of the function g(x) = x – a.


A horizontal shift a units to the right.


A vertical shift a units downward.


A horizontal shift a units to the left.


A vertical compression by a factor of 1/a.

Answers

Answer:

A horizontal shift a units to the right.

Step-by-step explanation:

f(x) =x, is a line with the the x-intercept at (0,0)

g(x) = x-a, is a line that has the same slope as line f(x) , yet has a x-intercept at (a,0) the line moved a units to the right

Out of the 14641 times Voldemort has brushed his teeth, only 5/11 of the time did he floss immediately beforehand. How many times total has Voldemort NOT flossed right before brushing his teeth?

Answers

In this question, we want to find a fraction of a value, which is found multiplying the fraction by the value.

Information:

Voldemort has brushed his teeth 14641 times.

5/11 of the time, he has flossed immediately beforehand.

[tex]1 - \frac{5}{11} = \frac{6}{11}[/tex] of the time, he has NOT flossed immediately beforehand.

How many times total has Voldemort NOT flossed right before brushing his teeth?

6/11 out of 14641, so:

6*14641/11 = 7986.

Thus, Voldemort has NOT flossed right before brushing his teeth 7986 times.

For another example with a fraction of a value, you can check https://brainly.com/question/5501130

Lord Voldemort did not floss his teeth 7986 times.

According to this question, we know the following two facts:

1) Lord Voldemort has brushed his teeth 14641 times.

2) He flossed his teeth beforehand only [tex]\frac{5}{11}[/tex] of the time.

There, he did not floss his teeth [tex]\frac{6}{11}[/tex] of the time and the total number of time that he did not floss is obtained by multiplicating the total number of times that he brushed his teeth and the rational number deducted at the beginning of the paragraph. That is to say:

[tex]x = \left(\frac{6}{11} \right)\cdot (14641)[/tex]

[tex]x = 7986[/tex]

Lord Voldemort did not floss his teeth 7986 times.

if possible help me in this. I need to find the two odd numbers...​

Answers

Part (a)

Consecutive odd integers are integers that odd and they follow one right after another. If x is odd, then x+2 is the next odd integer

For example, if x = 7, then x+2 = 9 is right after.

Answer:  x+2

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

Part (b)

The consecutive odd integers we're dealing with are x and x+2.

Their squares are x^2 and (x+2)^2, and these squares add to 394.

Answer: x^2 + (x+2)^2 = 394

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

Part (c)

We'll solve the equation we just set up.

x^2 + (x+2)^2 = 394

x^2 + x^2 + 4x + 4 = 394

2x^2+4x+4-394 = 0

2x^2+4x-390 = 0

2(x^2 + 2x - 195) = 0

x^2 + 2x - 195 = 0

You could factor this, but the quadratic formula avoids trial and error.

Use a = 1, b = 2, c = -195 in the quadratic formula.

[tex]x = \frac{-b\pm\sqrt{b^2-4ac}}{2a}\\\\x = \frac{-(2)\pm\sqrt{(2)^2-4(1)(-195)}}{2(1)}\\\\x = \frac{-2\pm\sqrt{784}}{2}\\\\x = \frac{-2\pm28}{2}\\\\x = \frac{-2+28}{2} \ \text{ or } \ x = \frac{-2-28}{2}\\\\x = \frac{26}{2} \ \text{ or } \ x = \frac{-30}{2}\\\\x = 13 \ \text{ or } \ x = -15\\\\[/tex]

If x = 13, then x+2 = 13+2 = 15

Then note how x^2 + (x+2)^2 = 13^2 + 15^2 = 169 + 225 = 394

Or we could have x = -15 which leads to x+2 = -15+2 = -13

So, x^2 + (x+2)^2 = (-15)^2 + (-13)^2 = 225 + 169 = 394

We get the same thing either way.

Answer: Either 13, 15  or  -15, -13

What is the range of the function?

Answers

Answer:

all real numbers greater than or equal to 11

(x+2)^2 ≠ 0 ? hihihihihihi

Answers

Yes, you are correct

Find the reciprocal of I​

Answers

Answer:

the reciprocal of 1 is 1

Step-by-step explanation:

1/1 flipped is still equal to 1

the reciprocal of 1 is 1
because 1/1 flipped is still 1

help me u guys i really neeed help.

Answers

Answer:

Q, quadrant 4

Step-by-step explanation:

Answer:

The letter is     Q

And the quadrant is (x,-y) i.e quadrant no. 4

Step-by-step explanation:

Which expression is equivalent to 206.230?
O a. 2 x 100 + 6 x 10 + 2 x 1 + 3 < 1/10
O b. 2 x 100 + 6 x 1 + 2 x 1/10 + 3 < 1/100
O c. 2 × 10 + 6 x 1 + 2 x 1/10 + 3 * 1/100

Answers

Answer:

b.

Step-by-step explanation:

hsgusuhsghshjsuhsyh

Find the value of x.
PLEASE HELP ASAP!!!!!!

Answers

Answer:

does it want the degree????

Which expression can be used to convert 80 dollars (USD) to Australian dollars (aud) 1 USD=1.0343 AUD 1 AUD 0.9668 USD

Answers

Answer: [tex]1\ \text{USD}\equiv 1.35\ \text{AUD}[/tex]

Step-by-step explanation:

1 USD is equivalent to 1.35 AUD

Therefore, 80 USD is equivalent to

[tex]\Rightarrow 80\ \text{USD}\equiv 80\times 1.35\\\\\Rightarrow 108\ \text{AUD}[/tex]

find the value of x in the diagram below

Answers

Answer:

70

Step-by-step explanation:

In a trapezoid lines are parallel, so corresponding angle sum = 180

X+X+40 = 180

2x + 40 = 180

2x = 180-40

2x = 140

X = 140/2

X = 70

Answered by Gauthmath

Given the growth/decay percentage, determine the multiplier.
1) 5% Growth
2) 12% Decay
4) 0.85% Decay
3) 200% Growth

Answers

The multiplier is 1 + growth percentage or 1- decrease percentage rage.

1) 1 + 5% = 1.05

2) 1-12% = 0.88

3) 1-0.85% = 0.9915

4) 1 + 200% = 3

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