5. What linear function defines the following Arithmetic Sequence?
-4, -1, 2, 5, 8,...
an = 4 - 3(n-1)
an = -4 -3(n-1)
an = 4 + 3(n - 1)
an = -4 + 3(n - 1)

5. What Linear Function Defines The Following Arithmetic Sequence?-4, -1, 2, 5, 8,...an = 4 - 3(n-1)an

Answers

Answer 1

Answer

A

Step-by-step explanation:

Answer 2

The linear function defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

What is an arithmetic progression?

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

The given series is -4, -1, 2, 5, 8. The common difference of the series is  calculated as,

d = -1 - ( -4 )

d = -1 + 4

d = 3

The equation will be written as,

an = a₁ + d(n - 1)

an = -4 + 3(n - 1)

Therefore, the linear function that defines the arithmetic sequence is an = -4 + 3(n - 1). The correct option is D.

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Related Questions

What number is one thousand more than 3,368

Answers

I believe it’s 4,368

Which of the following is equal to [(x2y3)-2/(x6y3x)2]3 ?

Answers

Answer:

a=√x3y5 or a=−√x3y5

Step-by-step explanation:

Answer:

A, B & D

Step-by-step explanation:

Just did it on Edge

WILL GIVE BRAINLIEST

Answers

what’s the question?

Answer:

1 ) the slope is -2/1  y-intersept is 7    therefore y=-2/1x+7  pt's (1,3) (-3,5)

2 ) the slope is 1/1  y-intersept is -4     therefore y=1/1x-4   pt's  (-3,1)(-1,3)

Step-by-step explanation:

i hope this helps if you need more or still dont understand plz let me know! <3

y =mx(+or-)b

m,slope ,rise over run .

b,y-inersept  the point that of witch it crosses the y axis.

Determine the total number of roots of each polynomial function.

f (x) = (3x4 + 1)2

Answers

Answer:

It’s not allowing me to place done the work but the answer is 8 sorry!

Morgan says that the absolute value of -8 is greater than the absolute value of 7. Do you agree with Morgan? Explain.

Answers

Answer:

Yes I agree with Morgan

Step-by-step explanation:

The absolute value of a number is its positive distance from 0. Therefore, -8 is 8 units away from 0 while 7 is 7 units away from 0. Since 8>7, then Morgan is correct in his statement.

Yes I also agree with Morgan

determining end behavior and intercepts to graph a polynomial function

Answers

Answer:

Step-by-step explanation:

(b). ( x , 0 )

Zero where the graph crosses the X-axis: 1

Zero where the graph touches, but does not cross the X-axis: ( - 1 )

(c). ( 0, y )

- ( 0 + 1 )²( 0 - 1 ) = 1

Plot the value(s) on the number line where this function is equal to zero: fx) = (x + 5)(x - 1).​

Answers

Answer:

x = - 5, x = 1

Step-by-step explanation:

let f(x) = 0 , that is

(x + 5)(x - 1) = 0

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5

x - 1 = 0 ⇒ x = 1

Plot the points - 5 and 1 on the number line

Calculate the measure of angle ADB if angle ACB is 50 degrees.

Answers

Answer:

ADB=50°

Step-by-step explanation:

Angles subtended by the same segment are equal

Therefore,the angle ∠[tex]ADB=40[/tex] degree.

What are the angles?

An angle is a form of geometrical shape, that is constructed by joining two rays to each other at their end-points.

Here given that ∠[tex]ACB=50[/tex] degree and we know alternates angles are equal so ∠[tex]CAD=50[/tex] degree.

And [tex]AD[/tex] is parallel to [tex]BC[/tex].

Therefore, the diagonals of a rhombus are at right angled.

So, ∠[tex]AOD=90[/tex] degree

Now, In Δ[tex]AOD[/tex],

∠[tex]ADO+[/tex]∠[tex]DAO+[/tex]∠[tex]AOD=180[/tex] degree

∠[tex]ADO+50+90=180[/tex]

∠[tex]ADO=+140=180[/tex]

∠[tex]ADO=180-140[/tex]

∠[tex]ADO=40[/tex] degree

or

∠[tex]ADB=40[/tex] degree.

Hence, the angle ∠[tex]ADB=40[/tex] degree.

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Which of the following expressions are equivalent to 40x+30y choose all that apply

Answers

Answer:

1,390 I think that's the answer

Step-by-step explanation:

hope that helps

The expression equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

What are Expressions?

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Given are some expressions in the options.

Distributive rule says that,

a ( b + c ) = (a b) + (a c), where a, b and c are any numbers.

5x(8 + 6) = 5x(14) = 70x

5(8x + 6y) = 40x + 30y

10(40x + 30y) = 400x + 300y

10(4x + 3y) = 40x + 30y

2y(20x + 15) = 40xy + 30y

2(20x + 15y) = 40x + 30y

Hence the expressions which are equivalent to 40x + 30y are 5(8x + 6y), 10(4x + 3y) and 2(20x + 15y).

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The complete question is :

Which of the following expressions are equivalent to 40x+30y. Choose all that apply.

5x(8 + 6)

5(8x + 6y)

10(40x + 30y)

10(4x + 3y)

2y(20x + 15)

2(20x + 15y)

convert the following equation into standard form. y= -5x/6+2

Answers

Answer:

5x + 6y = 12

Step-by-step explanation:

The standard form of a linear equation is  Ax + By = C.

Multiply both sides by  6

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

Simplify the right side

Simplify  

6(−5x/6+2)

Apply the distributive property =  a  ( b + c )  = ab + ac

6y = 6( −5x/6) + 6 ⋅ 2

Cancel the common factor of  6

Move the leading negative in  −5x/6 into the numerator

6y = 6 −5x/6 + 6 ⋅ 2

Cancel the common factor 6

Rewrite the expression

6y  = −5x + 6 ⋅ 2

Multiply  6  by 2

6y = -5x + 12

Move all terms containing variables to the left side of the equation

Add  5x to both sides of the equation.

6y + 5x = 12

Reorder 6y and 5x

5x + 6y = 12

Marvin sells prawns at $12 per kg. How much money will Marvin receive from selling 30 kg of prawns?

Answers

Answer: Start off and multiply 12x30=360

Step-by-step explanation: He will recieve 360$

Alan draws the two triangles below.



Alan claims that the two triangles are similar. Which of the following methods could he use to prove his claim? Select TWO that apply.
A
show that all pairs of corresponding sides are congruent

B
show that the triangles are congruent, as all congruent triangles are similar

C
show that a sequence of rigid motions and dilations carries one triangle onto the other triangle

D
show that all pairs of corresponding angles are congruent and all corresponding sides are

Answers

Answer:

A & D

Step-by-step explanation:

Both use SSS to prove triangles congruent.

The length of each of the three pairs of corresponding sides is the same The three pairs of comparable angles in each case are all of the same size.

What is Congruent triangle?

Therefore, if all three sides of two triangles are the same, then the triangles are said to be congruent. If we have a side, an angle between the sides, and then another side that is congruent, we know they are congruent. In other words, side, angle, side.

"If and only if the following two conditions are met, two triangles are congruent.

Three corresponding sides have the same value.

The measurements of the three related angles are all equal."

given instance,

Think about the triangles PQR and ABC.

If A = P, B = Q, and C = R

AB = PQ, BC = QR, and AC = PR as well.

If ABC and PQR are congruent triangles, then ABC PQR is the way to write it.

As a result, the following are true statements concerning congruent triangles:

The length of each of the three pairs of corresponding sides is the same.

The three pairs of comparable angles in each case are all of the same size.

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41/30 as a mixed number

Answers

Answer:

1 11/30

Step-by-step explanation:

43 minus 30 equals 11, a prime number; can't simplify

41/30 as a mixed number is 1 11/30



you divid the 41/30 and get the mixed number

A 7-pound bag of cat food costs $13.93. What is the unit price?

Answers

Answer:

$1.99 is the unit price

Step-by-step explanation:

13.93 divided by 7 determines the unit price

At the gym, Hillary swims every 6 days and runs every 4 days. If she did both activities today, in how many days will she do both activities again on the same day?"

Answers

Answer:

we know that

Hillary

swims every 6 days---> Multiples of 6---> 6-12-18-24-30-36-42-48-54

runs every 4 days-----> Multiples of 4----> 4-8-12-16-20-24-28-32-36-40-44-48

cycles every 16 days---> Multiples of 16---> 16-32-48-64

therefore

In 48 days she will do all three on the same day.

the answer is

48 days

Step-by-step explanation:

find the slope of the line that passes through the pair of points (3,-5), (-4,1)

Answers

Answer:

-6/7

Step-by-step explanation:

y2 - y1 / x2 - x1

-5 - 1 / 3 - -4

-6 / 7

hi hope you are well can someone give the answers will mark as brainliest as soon as I am done with this assignment​

Answers

36.)B

37.)C

38.)C

39.)C

40.)A

hoped that helped :)

Write 6(2x + 4) – 2(x + 7) +5 in the form a(bx+c)
where a, b and c are integers
and a > 1

Answers

Answer:

5(x + 3)

Step-by-step explanation:

6(2x + 4) - 2(x + 7) + 5

12x + 24 - 2x - 14 +5

10x  + 24 - 9

10x  + 15

5(x + 3)

??????????????????????????

Answers

Scale down 1/2 and a 180 degree flip

A glass top of an office table has sides of 21 inches. What is its area?

Answers

Answer:

441 [tex]inches^{2}[/tex]

Step-by-step explanation:

If this is a rectangle, meaning the width and the legnth is different, there is no way in solving this.

However, if it is a square, meaning all the sides are the same,

we can know that every side is 21 inches long.

An area is the width times the length, which is both 21 in this case.

21 times 21 = 441.

441 inches squared.

In the first round of her new video game, Eluxxor,

Akira scored 220 points. In the second round, she scored – 85 points. What is Akira's total score at the end of the second round?

Answers

Answer: 135 points

Step-by-step explanation: 220 + -85 would be the equation

What is the percent of change if 18 is increased to
452

Answers

It’s 434


Mark as brainliest

What is the value of x in the figure shown below?

Answers

Answer: Haha I don't know the answer---Wait wait--I know the answer, its Do School and study for it and you'll find out :)

Step-by-step explanation: This is how i figured it out.... I STUDIED

i need help please find the ans
you will get 15 points if you ans this

Answers

Answer:

the answer is 5 ^_^

Step-by-step explanation:

hopeee it helpss ^_^

a measure is stated as 1000m correct to the nearest 50m find the lower bound

Answers

1000m divided by 50 = 20m

If the mean of 16‚20‚25 and p is 20.Find the value of p.​

Answers

p=19
do 20x4=80
add 16+20+25=61
80-61=19

What is the volume of this figure?
A. 192 cm
B. 49 cm3
C. 343 cm3
D. None of the above

Answers

Explanation :-

Volume of a square box is equal to the cube of the length of the side of the square box. The formula for the volume is V = s³, where "s" is the length of the side of the square box.

[tex]\qquad[/tex]____________________

It’s given

Length of one side is = 7cm

[tex] \bf{\underline{\underline{\dag According\ to\ the\ question:-}}} [/tex]

[tex]\qquad[/tex][tex] \purple{\bf\longrightarrow {Volume = 7^3} }[/tex]

[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Volume =343\: cm^3}[/tex]

Hence, option C is the correct option!

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line

Answers

Answer:

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Step-by-step explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)

The table represents the function f(x).
x
-3
-2
-1
0
1
2
3
f(x)
-9
-6
-3
0
3
6
9
What is f(3)?
-9
-1
1
9

Answers

Answer:

f(3) = 9

Step-by-step explanation:

The value for f(3) is given in the table (last entry)

But one can see that the function, f, is:

f(x) = 3x

This works for all values.  f(3) = 3*3 or 9

The range of the function when x = 3 is f ( 3 ) = 9

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the input values of the function be x

where x = { -3 , -2 , -1 , 0 , 1 , 2 , 3 }

Let the output values of the function be y

where y = { -9 , -6 , -3 , 0 , 3 , 6 , 9 }

So , the range of the function when x = 3 is

f ( 3 ) = 9

Hence , the function is solved

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Which rectangle is similar to a rectangle with length of 12 yards and 23 yards?
a rectangle with length 14 yards and 13 yards

a rectangle with length 14 yards and 25 yards

a rectangle with length 2 yards and 3 yards

a rectangle with length 212 yards and 223 yards

Answers

Answer:

a rectangle with 2 yards and 3 yards

Step-by-step explanation:

12 yards and 23 yards

x and 2x - 1

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

2 and 3 = x and 2x - 1

2 and 2(2) - 1 = 2 and 3

I might be wrong.

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