Find the common difference of the arithmetic sequence 1,-1, -3, ...

Answers

Answer 1
Answer:
-2

Explanation:
The common difference of a sequence is the difference between consecutive terms. To find it, we subtract two consecutive terms.

1, -1, -3

1 and -1 are consecutive terms.
-1-1=-2

Therefore, the common difference is -2.

We can also try the same thing with -3 and -1, since they are also consecutive terms.

-3-(-1)
=-3+1
=-2

I hope this helps! Please comment if you have any questions.

Related Questions

The recipe says it serves 8 people. By what number should jenny multiply each ingredient to make enough meatloaf for 40 people?

Answers

Answer:

5

Step-by-step explanation:

8*5=40 so you multiply the ingredients by 5

How many solutions does the following equation have?
-6(x + 7) = -4x – 2
Choose 1 answer:
A.No solutions
B.Exactly one solution
C.Infinitely many solutions

Answers

Answer:

B. Exactly one solution

Step-by-step explanation:

Can someone Find f(-1)

Answers

Answer:

-2

Step-by-step explanation:

f(-1)=-2. f(−1)=−2 f ( - 1 ) = - 2.

the answer to the problem is -2 :)

-6(7) + 36 + (-12)
Helpppppp

Answers

Answer:

-18

Step-by-step explanation:

Answer:-18

Step-by-step explanation:

13.8___13.80 < > = Complete the inequality statement with the symbol that makes it true

Answers

Answer:

=

Step-by-step explanation:

because 13.80 equal 13.8 . Because how we know we need to delite 0 snd it will be 13.8

Answer:

13.8 = 13.80

Step-by-step explanation:

13.8 and 13.80 are the same values.

Hope it helped!

What’s -6y + 4x=5 in ymx+b

Answers

Answer:

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Step-by-step explanation:

First you need to solve the expression in order to get the expression in Slop-Intercept Form:

[tex]y = mx + b[/tex]

-The following equation:

[tex]-6y + 4x = 5[/tex]

Solve:

[tex]-6y + 4x = 5[/tex]

[tex]-6y + 4x - 4x = 5 - 4x[/tex]

[tex]-6y = 5 - 4x[/tex]

[tex]\frac{-6y}{-6} = \frac{5 - 4x}{-6}[/tex]

[tex]y = \frac{5 - 4x}{-6}[/tex]

[tex]\boxed {y = \frac{2}{3}x - \frac{5}{6}}[/tex]

Therefore, the expression in Slope-Intercept Form is [tex]y = \frac{2}{3}x - \frac{5}{6}[/tex].

Find f (−3) for the function f (x) = -5/-3 x -2

A) 3/5
B) -7
C) − 5/3
D) 3
E) −2

Answers

plug in -3 for x and get -5-2 which is -7 so b

much they will have left over. (a) If a package of curtains cost $21.50, what is the cost of the 3 packages of curtains in the cart? it in the cart​

Answers

64.5 is the answer.

I HOPE THIS HELPS HAVE A GREAT DAY!

Answer:

64.50

hope this helps!!!

Movie tickets are $9.00 for adults and $5.50 for children. One evening, the theater sold 36
tickets worth $282. How many adult tickets were sold? How many child tickets were sold?

Answers

Answer:

25

Step-by-step explanation:

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HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPPP

Answers

Answer:

Thousandth: 0.063
Hundredth: 0.06
Tenth: 0.1
Whole Number: 0

Explanation:
If the number beside it is 5 or higher, add one to it to round, take 0.017, the 7 is greater than or equal to 5, so we round up to 0.02
If the number beside it is 4 or lower, you keep it the same, take 0.013, 3 is less than or equal to 4, so we round up to 0.01


Find f(g(x)) when f(x) = 3x2 + x - 8, and g(x) = 4x + 5.
A) f(g(x)) = 12x2 + 4x - 27
B) f(g(x)) = 48x2 + 84x + 25
C) f(g(x)) = 48x2 + 124x + 72
D) f(g(x)) = 144x2 + 124x + 30

Answers

Answer:

Its C.

Step-by-step explanation:

Amber worked 2.2 hours on Monday and 5.9 hours on Tuesday. Her pay rate is $9.50 per hour. How much will Amber be paid for two days?

Answers

Answer:

$76.95

Step-by-step explanation:

Amber worked for 2.2 hours on Monday and she makes $9.50 per hour, so that means you multiply 9.50 x 2.2 and it equals 20.9, then it says she works 5.9 hours on Tuesday, so that means you multiply 9.50 x 5.9 and it equals 56.05, so in total you add 20.9 from Monday and 56.05 from Tuesday and it equals 76.95, which means $76.95 is how much Amber will be paid.

Answer:

76.95

Step-by-step explanation:

what is the least common multiple of 31 and 46?

Answers

the least common multiple(LCM) is 1426
The least common multiple is 1426

what's the area for 8 in 6 in 4 in in a irregular polygon

Answers

Answer:

192

Step-by-step explanation:

8x6x4

Answer:

192

Step-by-step explanation:

because it is

-5/7*1/6

What's the answer?

Answers

Answer:

-5/42

Step-by-step explanation:

Answer: -0.11

Step-by-step explanation:

Sara owns a tree farm. Variety A of a pine tree is shipped to her at 12 inches tall and grows at a rate of 14 inches per year. Variety B of a pine tree is shipped to her at 2 inches tall and grows at a rate of 16 inches per year.

Which equation can be used to determine the number of years, x, at which the trees will be an equal height?


14 + 12x = 16 + 2x
14 + 12, x, = 16 + 2, x

16 + 12x = 14 + 2x
16 + 12, x, = 14 + 2, x

12 + 16x = 2 + 14x
12 + 16, x, = 2 + 14, x

12 + 14x = 2 + 16x
12 + 14, x, = 2 + 16, x

Answers

Answer:

Step-by-step explanation:

X=5

Can someone please help

Answers

Not sure what does "Zero" mean. But I'll move with y-intercept, slope and slope intercept form.

The y-intercept is (0,4) because the graph passes through (0,4)

For the slope, look at the grid and the line, it's -2. Or we can solve this by using the ordered pairs.

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

(0,4) and (3,-2) both are the part of the graph, therefore.

[tex]m=\frac{-2-4}{3-0} \\m=-\frac{6}{3}\\m=-2[/tex]

So the slope is -2 and for the slope intercept form, it must be the equation.

We know that m = -2 and b = 4 because b is the y-intercept from y = mx+b where m is the slope and b is the y-intercept.

Thus, [tex]y=-2x+4[/tex] from the y = mx + b.

Find the coordinates of the point (x,y) at the given angle θ on a circle of radius r centered at the origin. Show all work. Round decimal to three places. (5 points) θ=215° and r=4 Type equation here. Type equation here. (5 points) θ=-30° and r=1 Type equation here. Type equation here.

Answers

Answer:

(i) The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

Step-by-step explanation:

In this exercise we must find the equivalent coordinates in rectangular form from polar form. That is:

[tex](x, y) = (r\cdot \cos \theta, r\cdot \sin \theta)[/tex]

Where:

[tex]r[/tex] - Norm of vector, dimensionless.

[tex]\theta[/tex] - Direction of vector with respect to +x semiaxis, measured in sexagesimal degrees.

(i) ([tex]r = 4[/tex], [tex]\theta = 215^{\circ}[/tex])

[tex](x. y) = (4\cdot \cos 215^{\circ}, 4\cdot \sin 215^{\circ})[/tex]

[tex](x, y) = (-3.277,-2.294)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (-3.277,-2.294)[/tex].

(ii) ([tex]r = 1[/tex], [tex]\theta = 30^{\circ}[/tex])

[tex](x. y) = (1\cdot \cos 30^{\circ}, 1\cdot \sin 30^{\circ})[/tex]

[tex](x, y) = (0.866, 0.5)[/tex]

The equivalent coordinates in rectangular form are [tex](x, y) = (0.866, 0.5)[/tex].

NEED HELP ASAP!!!!!!!!!!!!!!!!!!!!!!

Answers

The third table on the top row. It has a linear function because the Y is always constant. For example: -3 + -2= -5 -5 + -2= -7

A truck can be rented from Company A for ​$80 a day plus ​$0.40 per mile. Company B charges ​$40 a day plus ​$0.60 per mile to rent the same truck. Find the number of miles in a day at which the rental costs for Company A and Company B are the same.
At____​miles, the rental costs are the same from either company.

Answers

Answer:

200 miles

Step-by-step explanation:

Let the required miles be x

Rental for Company A

80 + 0.4x

Rental for Company B

40 + 0.6x

Rental costs are equal when:

80 +0.4x = 40 + 0.6x0.6x - 0.4x = 80 - 400.2x = 40x = 40/0.2x = 200 miles

What is the value of the missing divisor in the equation 1,872 divided _____=234

Answers

Answer: 8

Step-by-step explanation: You can test 234 by multiplying it by random numbers like i did on a calculator and from there i tested 8 and it fit 1874 so i knew that was the answer

HELP WILL MARK BRAINLIEST!!!
A quadratic function for a parabola has axis of symmetry x = -2, points (-3, 2) and (0,11) and opens upward. What is the value of a? What is the vertex?​

Answers

Answer:

Let's see what to do buddy..

Step-by-step explanation:

_________________________________

STEP (1)

We know that the quadratic functions form are like this :

[tex]y = a \: {x}^{2} + b \: x + c [/tex]

The quadratic function opens upward so ;

[tex]a > 0[/tex]

The axis of parabolic symmetry passes through the vertex of the parabolic.

So we know that x vertex is equal to -2.

The vertex's x is finding from this equation:

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

So we have :

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

Multiply the sides of the equation by 2a :

[tex]b = 4a[/tex]

_________________________________

STEP (2)

A quota passes through points (-3,2) and (0,11) , so points (-3,2) and (0,11) must be true in the quota equation.

[tex]y = f(x) = a{x}^{2} + bx + c \\ \\b = 4a \\ \\ y = f(x) = a {x}^{2} + 4ax + c [/tex]

[tex]f( - 3) = 2 \\ \\ a ({ - 3})^{2} + 4a( - 3) + c = 2 \\ \\ 9a - 12a + c = 2 \\ \\ - 3a + c = 2 \\ \\ \\ \\ f(0) = 11 \\ \\ a ({0})^{2} + 4a(0) + c = 11 \\ \\ c = 11 [/tex]

[tex] - 3a + c = 2 \\ \\ c = 11 \\ \\ - 3a + 11 = 2 \\ 11 \: goes \: to \: the \: other \: side \: \\ \\ - 3a = 2 - 11 \\ - 3a = - 9 \\ divided \: the \: sides \: of \: the \: equation \: by \: - 3 \\ a = 3[/tex]

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Please help me solve this!! If you do think yu so much and have a nice day or night

Answers

Answer:

5668

Step-by-step explanation:

What’s there answer for this 4.5x10^-5

Answers

Answer:

0.000045

Step-by-step explanation:

What is 3.4 x 10^-6 in standard notation?

Answers

Answer:

The answer is 0.0000034

Step-by-step explanation:

*Two buses were coming from two different places situated just in the opposite
direction. The average speed of one bus is 5 km/hr more than that of another on
and they had started their journey in the same time. If the distance between
places is 500 km and they meet after 4 hours, find their speed.​

Answers

Answer:  60 km/hr and 65 km/hr

Step-by-step explanation:

        o-----------------------------------←500→-------------------------------------o

        Bus 1: rate = r + 5                                              Bus 2: rate = r            

                  time = 4                                                               time = 4

                  distance = d                                                        distance = 500 - d

                              Use distance = rate x time

      Bus 1: d = 4(r + 5)                                               Bus 2: 500 - d = 4(r)

                d = 4r + 20                                                    -d = 4r - 500

                                                                                      d = 500 - 4r

Solve the System of Equations using the Substitution method:

                                    4r + 20 = 500 - 4r

                                    8r + 20 = 500

                                   8r          = 480

                                              r = 60

    Bus 1: rate = r + 5                                              Bus 2: rate = r

                     = 60 + 5                                                              = 60

                     = 65

                 

Answer :

Distance between both buses = 500km

Time taken by them to meet each other = 4hr

Let speed of bus A be v km/hr.

ATQ, speed of bus B is 5km/ hr more than that of bus A.

∴ Speed of bus B will be (v + 5) km/hr.

Diagram :

[tex]\boxed{\setlength{\unitlength}{1cm}\begin{picture}(6,2)\thicklines\put(1,1){\circle*{0.2}}\put(5,1){\circle*{0.2}}\put(1,1){\vector(1,0){1}}\put(5,1){\vector(-1,0){1.5}}\put(0.2,0.9){A}\put(5.5,0.9){B}\put(1.4,1.2){v}\put(3.85,1.2){v+5}\put(2.35,0.4){\sf{500\;km}}\put(2.2,0.5){\vector(-1,0){1.3}}\put(3.55,0.5){\vector(1,0){1.5}}\end{picture}}[/tex]

★ As we know that,

Speed = Distance/Time ... (I)

Assuming both buses as point masses,

Relative speed of object A wrt object B when the object B moves in the opposite direction of A is given by

[tex]\boxed{\bf{v_{AB}=v_A+v_B}}[/tex]

Relative speed of bus A wrt B :

[tex]:\implies\:\sf{v_{AB}=v_A+v_B}[/tex]

[tex]:\implies\sf\:v_{AB}=v+(v+5)[/tex]

[tex]:\implies\bf\:v_{AB}=2v+5[/tex]

By substituting values in (I), we get

[tex]\leadsto\sf\:v_{AB}=\dfrac{d}{t}[/tex]

[tex]\leadsto\sf\:2v+5=\dfrac{500}{4}[/tex]

[tex]\leadsto\sf\:2v+5=125[/tex]

[tex]\leadsto\sf\:2v=120[/tex]

[tex]\leadsto\sf\:v=60\:kmph[/tex]

Speed of bus A = 60 kmph

Speed of bus B = (v + 5)

Speed of bus B = 65 kmph

Hope It Helps!

there were m balloons at the beginning of a party. by the end of the party, 6 of them had popped. using m, write an expression for the number of balloons that were left.

Answers

Answer:

m-6=x

Step-by-step explanation:

Identify the percent of change as an increase or a decrease.

16 centimeters to 44.2 centimeters


Increase

Decrease
Question 2
Find the percent of change.

Answers

Answer:

Increase

Step-by-step explanation:

The number gets larger. Increase means it gets larger, but decrease means it gets lower.

Select the construction that guarantees A' is a reflection of point A across line BC

Answers

Answer:

Construction B

Step-by-step explanation:

A' is the reflection of point A across line BC

Line BC is the mirror, the distance from point A to line BC and from BC to point A' is same and is the shortest distance.

This is achieved by constructing perpendicular line from the point A to BC and extending same line by same distance from BC.

What is the equation of the line that passes through the point (-5,7) and has a slope of -2/-5

Answers

this should be it y=-2/5x+5

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