Determine which sequence is an arithmetic sequence.

Question 18 options:

a)

–7, –3, 1, 5, ...


b)

15, 17,19, 111, ...

c)

−10, 5, −52, 54, ...

d)

3, 6, 12, 24, ...

Answers

Answer 1

Answer: A

Step-by-step explanation: An arithmetic sequence is a pattern in which the same number is repeatedly added or subtracted.

Notice that in the the first sequence shown, we add 4 to reach the next term in the sequence which means this is arithmetic.

The others are not arithmetic because the difference

between the terms does not remain constant.


Related Questions

An initial population of 895 quail increases at an annual rate of 7%. Write an exponential function to model the quail population.

Answers

y=895•1.07^x Y is the population of quails and X is the amount of years that have passed.

x and y are integers.
y>2
x<2
y< x + 3
Find the only pair of possible
values for x and y.​

Answers

Answer:

Y=3

X=1

3<1+3

Hope that helps

The only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

What is an inequality?

An inequality is a relation which makes a non-equal comparison between two numbers or other mathematical expressions. It is the condition of being unequal.

For the given situation,

The expression is

x and y are integers, y>2, x<2

y< x + 3

[tex]x < 2[/tex] , x can take any value less than two.

⇒ [tex]x=1[/tex] and

[tex]y > 2[/tex] , y can take any value greater than two

⇒ [tex]y=3[/tex]

Thus the expression becomes,

⇒ [tex]y < x + 3[/tex]

⇒ [tex]3 < 1 + 3[/tex]

⇒ [tex]3 < 4[/tex]

Hence we can conclude that the only pair of possible values for x and y is (1,3) that satisfies the inequality expression.

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I will give the brainiest answer

Answers

Answer:

D

Step-by-step explanation:

This net when folded, will become a triangular prism, which is only represented by option D.

pls help help me need help!! thank you!!

Answers

Answer: 55 feet of rope

Step-by-step explanation:

The absolute value of -30 is the distance 30 is away from 0, so |-30| = 30. And |25| = 25.

|-30| + |25| = 30 + 25 = 55

Can someone helping me?

Answers

Answer:

11

Step-by-step explanation:

Graph in desmos by making a table then you're able to count more clearly

Answer:

Answer is option b) 11

Step-by-step explanation:

[tex]distance \: between \: two \: points \\ = \sqrt{ {(y2 - y1)}^{2} + {(x2 - x1)}^{2} } \\ here \: x1 = 4 \: \: \: and \: y1 = 6 \\ x2 = - 7 \: \: \: and \: y2 = 6 \\ = \sqrt{ {(6 - 6)}^{2} + { (- 7 - 4)}^{2} } \\ = \sqrt{ { - 11}^{2} } \\ = \sqrt{121} \\ = 11[/tex]

HAVE A NICE DAY!

THANKS FOR GIVING ME THE OPPORTUNITY TO ANSWER YOUR QUESTION.

Which of the following are perfect squares? Check all that apply.
A.) 16
B.) 64
C.) 15
D.) 49
E.) 11
F.) 62

Answers

Answer:

The answers are A, B and D

(: Please answer both questions :)
First person gets 50 points!

Answers

Answer:

1. 1350

2.2700

Step-by-step explanation:

please answer this !!!!!

Answers

Answer:

The slope is -3/1.

Step-by-step explanation:

Slope : -3

Slope = y2 - y1 /x2 -x1
Slope = 6- -3 / -1 - 2
Slope = 9/ -3
Slope = -3

Expand 4(2x - 3)
Please

Answers

Answer:

4(2x) 4(-3)

Step-by-step explanation:

Separate the two parts of what is inside of the parentheses to “expand” it.

Answer:

The correct answer is

2x − 3

You can expand using the binomial expansion theorem.

Hope this helps!

- Quinn <3

x2+3x-4=0. Find a=, b=, and c=. thank you:)​

Answers

Answer:

a=1 b=3 c=-4

Step-by-step explanation:

using almighty formular

a=1 b=3 c= - 4

please help me thanks

Answers

___________________________________

The right answer is of option C

so if we have to solve it then it will be:

5x+13x=180

or,18x=180

or,X=180/18

X=10

hope it helps

Good luck on your assignment

_______________________________

Answer:

C

Step-by-step explanation:

X is 10 so it is c

Hope this works

Can someone help me with these 2 questions?

Answers

Answer:

3: x = 3      4: y = 8

Step-by-step explanation:

Problem 3:

Because of the lines on each side of the rhombus, that shows you that all of those lines are congruent with each other, meaning they are all the same length. So since one side equals the other, you can equal one of the equations on one side to another equation on another side. EX: x+5 = 3x-1. And then you solve that through multi-step equations.

Problem 4:

Just like on Problem 3, due to the little dashes going through the sides of the rectangle, the sides are congruent (the same length) as one another. Except the sides with one dash are not congruent with the sides with two dashes. But if you equal 2y and y+8, then you can solve that through multi-step equations again and get y = 8 since they are congruent with each other (due to the singular dashes running through their sides).

Hope this helped!

Which equations are equivalent to -1/4{X}=12 Select all that apply.

Answers

Answer:

2nd, 3rd and the last one

Representing postulates with diagrams

Answers

Answer:

the 3rd one

Step-by-step explanation:

Answer:

3rd one

Step-by-step explanation:

A rectangular room is 2 times as long as it is wide, and its perimeter is 36 meters. Find the width of the room.

Answers

36x2=72 which is the width so 72x2=144 so I’m pretty sure the length is 144

The width of the room is equal to 6 m

What is the area of the rectangle?

The formula for area is equal to the product of the length and breadth of the rectangle. Whereas when we speak about the perimeter of a rectangle, it is equal to the sum of all its four sides.

Given here: Perimeter=36 m

Let the length of the room be 2x and width of the room be x

Then we have (2x+x)=36

                             x=12

Thus length =12m & width=6 m

Hence, the width of the room is equal to 6 m

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What function is graphed below? y = - 1 y = 3 x y = x - 3 y = x + 3

Answers

Answer:

im confuised which one is a?

Step-by-step explanation:

Answer: y = x/3 -1

Step-by-step explanation: I also had this question so I know what graph you're talking about, but next time put a graph.

Evaluate this expression.
3^-2 ANSWER ASAP PLEASE

Answers

Answer:

0.11111111111

Step-by-step explanation:

Answer:

1/9 or 0.1 repeating

Step-by-step explanation:

Start by doing the inverse of the square root of 2 (that is the negative sign)

The inverse of 3^-2 is 1/3^2

Therefore, your answer is 1/9.

Hope this helps!

Write an equation of the line in slope-intercept form.
The line passing through (0, 1) and (-4,5)

Answers

Answer:

y=-x+1

Step-by-step explanation:

What are the coordinates of point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B? (StartFraction negative 29 Over 4 EndFraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)

Answers

Answer:

Option C is the correct answer.

Step-by-step explanation:

Given:

The coordinates of the point A and B are (-5,-1) and (4,1)

The point P on the directed line segment from A to B such that P is One-fourth the length of the line segment from A to B.

Thus, we have;

m=1 and m+n=4

We need to determine the coordinates of the point P(x,y)

x - coordinates of the point P:

The x - coordinates of the point P can be determined using the formula

x=(m/m+n)(x₂ - x₁)+ x₁

Substituting the values, we get;

x= 1/4(4+5)-5

x = 9/4-5

x = -11/4

Thus, the x - coordinate of the point P is -11/4

y - coordinate of the point P:

The y - coordinate of the point P can be determined using the formula,

y=(m/m+n)(y₂ - y₁)+ y₁

Substituting the values, we get;

y= 1/4(1+1)-1

y = 2/4-1

y= -2/4

y= -1/2

Thus, the y - coordinate of the point P is -1/2

Therefore, the coordinates of the point P is (-11/4, -1/2)

Hence, Option C is the correct answer.

please mark me brainliest!

Answer:

C

Step-by-step explanation:

I just did it on edge

f(x) = -4x2 + 12x – 9
What is the value of the discriminant of f?
How many x-intercepts does the graph of f have?

Answers

Answer:

[tex]D = 0[/tex]

The graph has 1 x-intercept

Step-by-step explanation:

Given

[tex]f(x) = -4x^2 + 12x - 9[/tex]

Required

- Discriminant of f

- Number of x intercepts

Let D represent the discriminant;

D is calculated as thus

[tex]D = b^2 - 4ac[/tex]

Where a, b and c are derived from the following general format;

[tex]f(x) = ax^2 + bx +c[/tex]

By comparing [tex]f(x) = ax^2 + bx +c[/tex] with [tex]f(x) = -4x^2 + 12x - 9[/tex]

We have

[tex]f(x) = f(x)\\ax^2 = -4x^2\\bx = 12x\\c = -9[/tex]

Solving further;

[tex]a = -4\\b=12\\c=-9[/tex]

So, D can now be calculated;

[tex]D = b^2 - 4ac[/tex] becomes

[tex]D = 12^2 - 4 * -4 * -9[/tex]

[tex]D = 144 - 144[/tex]

[tex]D = 0[/tex]

Hence, the discriminant of f is 0

From the value of the discriminant, we can determine the number of x intercepts of the graph;

When D = 0, then; there exists only one x-intercept and it as calculated as thus

[tex]x = \frac{-b}{2a}[/tex]

Recall that

[tex]a = -4\\b=12\\c=-9[/tex]

So, [tex]x = \frac{-b}{2a}[/tex] becomes

[tex]x = \frac{-12}{2 * -4}[/tex]

[tex]x = \frac{-12}{-8}[/tex]

[tex]x = \frac{12}{8}[/tex]

[tex]x =1.5[/tex]

can you please solve this!

Answers

Answer:

x = 8

Step-by-step explanation:

Jane works 3 times as fast as Eleanor. If they work together they can do a job in 21 minutes. How long does it take Eleanor to do the job by herself?

Answers

Answer:

1 hour and 24 min

Step-by-step explanation:

Jane does 3/4 job done in 21 min

Eleanor does 1/4 job done in 21 min

21*4=84

60+24

1 hour and 24 min

The work rate when they work together is much higher than when Eleanor

does the job herself.

It will take 84 minutes

Reasons:

Jane's work rate = 3 × Eleanor's work rate

The time it takes both Jane and Eleanor to do a job = 21 minutes

Required:

The time it would take Eleanor to do the job herself.

Solution:

Let x represent the portion of the job performed by Eleanor in the 21

minutes, we have;

The portion performed by Jane = 3 × x

Therefore;

The job done when they work together for 21 minutes = x + 3·x = 4·x

The time it takes Eleanor to do the job portion, x = 21 minutes

Therefore;

The time it will take Eleanor to do a job of 4·x = 4 × 21 minutes = 84 minutes

The time it would take Eleanor to do the job herself = 84 minutes

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PLEASE HELP! FIRST CORRECT ANSWER WILL MARK BRAINLIEST!
A grocer wishes to blend two different coffee brands in order to make a blend of 400 pounds to sell at $3.00 a pound. If he uses a brand of coffee worth $2.70 a pound with another brand worth $3.20 a pound, how many pounds of each does he use?

Answers

Answer:

160 pounds at 2.70

240 pounds at 3.20

Step-by-step explanation:

Let x be the pounds and 2.70 per pound

400-x is the pounds and 3.20 per pound

there will be 400 pounds and 3.00 per pound

2.70 x + (400-x) *3.20 = 400 *3

Distribute

2.70x +1280-3.20x = 1200

Combine like terms

-.5x +1280 = 1200

Subtract 1280 from each side

-.5x = -80

Divide each side by -.5

x = -80/-/5

x =160

160 pounds at 2.70

400-160 = 240 pounds at 3.20

find the minimum maximum and domain and range of the functions
h(x) = -x² + 4x - 2​

Answers

Domain (-infinity,infinity)

Min(?

max(2,2)

I just need answer. Pls

Answers

Answer:

Step-by-step explanation:

Which pair of numbers is relatively prime?

Answers

Answer:

relatively prime. Two integers are relatively prime (or coprime) if there is no integer greater than one that divides them both (that is, their greatest common divisor is one). For example, 12 and 13 are relatively prime, but 12 and 14 are not.

Step-by-step explanation:

Answer:

Two integers

Step-by-step explanation:

Two integers are relatively prime.

what point is located on the graph of any proportional relationship​

Answers

Answer:

At the end

Step-by-step explanation:

Solve the equation using the square root property:*

3x2 - 30 = 0

Answers

Answer:

Step-by-step explanation:

PLEASE MARK BRAINLY

What is the volume of a rectangular solid with a length of 12, a width of 3, and a height of 4?

Answers

Answer:

144

Step-by-step explanation:

L•w•h

12•4•3= 144

The answer is 144 , I got the same solving step by step solution like the other person

Factor the perfect square trinomial x2 - 12x + 36.

Answers

Answer:

(x - 6)(x - 6)

Step-by-step explanation:

-6 + -6 = -12

-6 * -6 = 36

meaning -6 in in both

if you want to find x

x = 6

Answer:

6

Step-by-step explanation:

x2-12x+36=0

find a two numbers that add to -12 and multiply to 36

-6 and -6

(x-6)(x-6)=0

x-6=0     x-6=0

x=6         x=6

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