Write the explicit rule.

-21, -51, -81, -111, -141

Write The Explicit Rule.-21, -51, -81, -111, -141

Answers

Answer 1

Answer:

aₙ = - 30n + 9

Step-by-step explanation:

You can tell this is an arithmetic sequence, as there is a difference of 30 between each value. Therefore the equation we will use here is aₙ = a₁ + (n - 1)d.

aₙ = a₁ + (n - 1)d

= - 21 + (n - 1) * - 30

= - 21 - 30n + 30

= - 30n + 9

Your solution would be option d. aₙ = - 30n + 9


Related Questions

(6,11) and (5,9) on a line in standard form

Answers

Answer:

2x - y = 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (6, 11) and (x₂, y₂ ) = (5, 9)

m = [tex]\frac{9-11}{5-6}[/tex] = [tex]\frac{-2}{-1}[/tex] = 2 , thus

y = 2x + c ← is the partial equation

To find c substitute either of the 2 points into the partial equation

Using (5, 9) , then

9 = 10 + c ⇒ c = 9 - 10 = - 1

y = 2x - 1 ← in slope- intercept form

The equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

From y = 2x - 1 ( subtract y and add 1 to both sides )

2x - y = 1 ← equation in standard form

(X-5)^2

Solve for x

Answers

If you were to solve it it would be x^2 -10x + 25

PLEASE HELP!
(Snip it bellow)
Using the vertical line test, determine if the graph above shows a relation, a function, both a relation and a function, or neither a relation nor a function.
A.
function only
B.
both a relation and a function
C.
neither a relation nor a function
D.
relation only

Answers

Answer:

I think it is neither

Step-by-step explanation:

I am not sure but I know it isn't a function

Answer: D Because it does not pass the vertical line test

hope this helps :)

Identify the transformation

Answers

Answer:

The Shape went from Quadrant 1 to Quadrant 3.

Step-by-step explanation:

You just have to look at it.

Answer:

Translation

Step-by-step explanation:

Every point on the figure was moved to a new spot on the graph.

I know, because I did this last year. I hope this helps.

Simplify.
6.5-7.48 -3.4 + 3.8

Answers

Answer:

-0.58

Step-by-step explanation:

6.5 - 7.48 = -0.98-0.98 - 3.4 = -4.38-4.38 + 3.8 = -0.58

I hope this helps!

Find the value of x: 19x-4=110

Answers

Answer:

x=6

Step-by-step explanation:

step 1;

19x−4+4=110+4

19x=114

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

step 2;

19x /19 = 114 /19

Give the digits in the ones place and the hundredths place.
16.89

Answers

Hundredths place=9
Ones place=6

James earned $816 each year. He earned x dollars less per month than Matt, who earned $80 per month.

Equation: 12(80 – x) = 816

x = 12; monthly earnings = $68

Which strategies will verify that the value for x is correct? Check all that apply.

Answers

Answer:multiply $68 and substitute 12

Step-by-step explanation:

Answer:

its a mutiple choice so click mutiply 68$

and substute 12$

Step-by-step explanation:

i just took the quiz :)

have a good day.

to convert 25 minutes to hours, you would use the ratio 1 hour/60 minutes. true or false

Answers

Answer:

true

Step-by-step explanation:

whats f(x) if f(x)= 5-67

Answers

Answer:

f(x)= -62

Step-by-step explanation:

just subtract 5 from 67 then make it negative

Answer:

f(x)= -62

Step-by-step explanation:

just subtract 5 from 67 then make it negative

Which statement accurately describes how to perform a 90° clockwise rotation of point A (1,4) around the origin?


A)Create a line perpendicular to the y-axis from point A, and locate a point on the perpendicular line that is equidistant to the


B)Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90


C)Create a line perpendicular to the x-axis from point A, and locate a point on the perpendicular line that is equidistant to the


D)Create a circle with point A as its center and a radius of the origin and point A, then locate a point on the circle that is 90° CO

Answers

Answer:

B)Create a circle with the origin as its center and a radius of the origin and point A, then locate a point on the circle that is 90  clockwise

Step-by-step explanation:

This is because, to locate a point rotated by 90° from point A, we first draw a circle with the origin as its center and a radius of the origin and point A. We then locate a point on the line that is 90° clockwise from point A. For a 90° clockwise rotation, for a given pair of coordinates, (x,y), the resulting pair of coordinates is (y,-x). So, for the coordinates (1,4), the resulting coordinates we are looking for is (4, -1), which is the point rotated 90° clockwise from point A. The point is thus (4,-1).

Answer:

i think the answer is A

Step-by-step explanation:

if this is wrong plz tell me what the correct answer is.

Which table represents a linear function?
2
.
y
y
y
1
0
0
0
0
lo
0
1
1
1
1
1
1
1
1
1
3
AN
2
2.
3
N
0
2
5
3
8
3
3
6
3
1
3
7
.
o

Answers

Answer:

Plz I 'm not sure but I think it is table b

Answer: answer D

Step-by-step explanation:

which of the following could comprised of one atom A.carbon B.salt C.air​

Answers

Carbon is Carbon so it's just one atom.
Air is mostly O2, N2, H2O and ....
Salt is NaCl and not one atom ;)

Answer:

Carbon

Step-by-step explanation:

Carbon usually exist as single Carbon atoms. Salt consists of Sodium and Chlorine stoms and air is a mixture of gases so it consists of many atoms

solve 8x-7y=18 for y?

Answers

Answer:

y = 8/7x -18/7

Step-by-step explanation:

8x-7y=18

Subtract 8x from each side

8x-8x-7y=-8x+18

-7y = -8x+18

Divide each side by -7

-7y/-7 = ( -8x+18)/-7

y = 8/7x -18/7

Simplify this problem.

3(−6+4)=

Answers

Answer:

-6

Step-by-step explanation:

"hope this helps you"

what is -1 times x^2

Answers

Answer:  -x^2  

Step-by-step explanation:

-1 times x^2  is the same as -1(x^2)  

-1(x^2) = is the same as -1x^2   or -x^2

what is the answer too –5(–2) =

Answers

Answer: 10

A Negative number times another negative number will always be positive. So -5 x -2 is 10.

↓This is your answer↓

↓Look down↓

Find the length of AC if AB = 16 and BC = 12.

Answers

AC = 28

Step-by-step explanation:

16. The larger of two numbers is 15 more than three times the smaller number. If the sum of the two
numbers is 63, find the numbers.

Answers

Answer:

3 and 24

Step-by-step explanation:

3 x 3 = 9 + 15 = 24

Simplify the expression by combining like terms
7y - 6x + 3 – 2x + 8- y

Answers

7y - 6x + 3 – 2x + 8 - y

first, bring the terms that are alike together

7y - y - 6x -2x + 3 + 8

then add / subtract those terms and finally you should have this as an answer

6y - 8x + 11

hope that helps and plss let me know if you have any questions :))

Answer:

[tex]\boxed{ -8x + 6y + 11}[/tex]

Step-by-step explanation:

[tex]7y - 6x + 3 - 2x + 8- y[/tex]

[tex]= 7y + -6x + 3 + -2x + 8 + -y[/tex]

Combine Like Terms:

[tex]= 7y + -6x + 3 + -2x + 8 + -y[/tex]

[tex]= (-6x + -2x) + (7y + -y) + ( 3 + 8)[/tex]

[tex]= -8x + 6y + 11[/tex]

Hope this helped you!

What equation represents the line that passes through the points (0, 2) and (9, 0)?
Please help me !!

Answers

Answer:

Y = -2/9x +2

Reasoning:

This is because you simply find the slope between the 2 points

area of a square is 196 cm?

Answers

Divide by 4 to get 49

If F(x) = -3x-2 , what is F(-5)

A) F(-5)=13
B) F(-5)=-17
C) F(-5)=-13
D) F(-5)= 17

Answers

A, F(-5)=13. To show work, substitute the x in F(x) = -3x-2 with -5 to get F(-5) = -3(-5)-2. Then, following PEMDAS, multiply -3 and -5 first to get 15. So, you are left with F(-5)=15-2. 15-2=13.

please explain the steps to me . i’m genuinely confused

Answers

Answer:See below

Step-by-step explanation:

These angles are equal. All that needs to be done is setting the equations as equal and solving for the variables. Once the variables are found, input them back into the equation to find the angles. Once the variables are put into both equations, the result should be equal.

Answer:

13) 94°

14) 105°

Step-by-step explanation:

13) For this equation, the angles are vertical angles. This means that they equal each other. So the equation would be: 14x-4= 12x+10.

Step 1- Subtract 12x to both sides.

 14x-4= 12x+10

-12x    -12x

Step 2- Add 4 to both sides.

2x-4= 10

    +4  +4

Step 3- Divide both sides by 2.

2x= 14

2    2

x= 7

Now that you know the value of the variable, insert this into the equations.

14(7)-4= 98-4= 94°

12(7)+10= 84+10= 94°

14) For this equation, the angles are alternate exterior angles. This also means that they equal each other. So the equation would be: 16x-7= 15x.

Step 1- Add 7 to both sides.

16x-7= 15x

    +7   +7

Step 2- Subtract 15x to both sides.

16x= 15x+7

-15x  -15x

This leaves you with: x= 7.

Now, insert the value of the variable into the equations.

16(7)-7= 112-7= 105°

15(7)= 105°

(-8.621)(17.13)
Plz answer quick

Answers

Answer:

If it asked you to multiply the answer is -147.67773

Step-by-step explanation:

Find the slope and write an equation of the line which passes through the points.
a
(5,6) and (3,4)
b
(−3, 9) and (−3, −5)

Answers

Answer:

a. y=x+1

b. x=-3

Step-by-step explanation:

a. slope= (6-4)/(5-3)=1

substitute (5,6) to y=1x+b; b=1

therefore, y=x+1

b. x=-3

Help, need to finish thisssssssss

Answers

Answer:

c because 1.8×10=18 so c is correct answer

Answer: C

Explanation
Since x = 10 and is gonna be multiply by a decimal. You move the decimal point 1 place to the right. So in this 1.8 would be 18

easy and quick!
is B the answer to this?

Answers

Answer:

Yes

Step-by-step explanation:

Yes sirr
You are correct

line i and line h intersect at what point​

Answers

Step-by-step explanation: The intersection of two figures can

be defined as the set of points that is contained in both figures.

In this figure, lines h and i intersect at C or we can

say that C is the intersection of lines h and i.

In this figure, C is the intersection of lines h and i

because C is the point contained by both h and i.

Plsss help I don’t know how to solve it :)

Answers

Answer:

x= 29

Step-by-step explanation:

These angles equal 180° since they are corresponding angles.

So, the equation would be: (2x-10)+(4x+16)= 180.

Step 1- Add common variables.

(2x+4x)+(16-10)= 180

6x+6= 180

Step 2- Subtract 6 to both sides.

6x+6= 180

    -6     -6

6x= 174

Step 3- Divide both sides by 6.

6x= 174

6     6

x= 29

Answer:

x=29

Step-by-step explanation: The two angles for are supplementary, so the equation will be equal to 180 degrees. So to find 180 degrees you need to put (2x-10) and (4x+16) on the same side of the equation.

180=(2x-10)+(4x+16)  Combine like terms

180=6x+6 Subtract 6 from both sides

174=6x Divide both sides by 6

29=x

Check:

2*29-10

58-10= 48

4*29+16

116+16=132

132+48=180

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