1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Misha Larkins [42]
3 years ago
9

Write the Explicit Rule for the arithmetic sequence:Qp = Q1 +(n-1)d8, 5, 2, -1, ...​

Mathematics
1 answer:
Elina [12.6K]3 years ago
5 0

Answer:

Last choice.

Step-by-step explanation:

8, 5, 2, -1, ...​

Make a table

n            |      1            2             3           4          5  

an          |      8           5             2           -1         -4

You really should just think of this as finding the equation of a line.

The slope can be used by using any two points.

How about

(1  ,  8)  and

(2 ,  5)?

------------I really like to find the slope by lining up my points and subtracting vertically and then putting second number on top of first.

That is the same as using the formula directly which is (y2-y1)/(x2-x1)

or (y1-y2)/(x1-x2) which gives you the same thing too.

Subtracting the pairs now:

(1  ,  8)

-(2 ,   5)

-----------

-1       3

So the slope is 3/-1 or -3/1 or -3.

So you can already rule out choice B.

So we have the equation is y=-3x+b

where y really represents an and x really represents n here.

You can use any point that you know is on the line to find b.

How about (1,8)?

Plug it into y=-3x+b.

y=-3x+b

8=-3(1)+b

8=-3+b

11=b

So the line is y=-3x+11

Want to confirm?

No problem:

At x=1 you have y=-3(1)+11=-3+11=8 which is first number in the list.

At x=2 you have y=-3(2)+11=-6+11=5 which is second number in the list.

At x=3 you have y=-3(3)+11=-9+11=2 which is the third number in the list.

At x=4 you have y=-3(4)+11=-12+11=-1 which is the fourth number in the list.

So we have confirmed our solution of y=-3x+11.

So the answer is an=-3n+11

You might be interested in
Name two examples of quadrilaterals,
kolezko [41]

Answer:

square and rectangle

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
El precio de costo de “x” artículos es 60x + 4 000, además el precio de venta de los mismos es 80x. Determinar la cantidad de ar
Citrus2011 [14]

Answer:

800 artículos.

Step-by-step explanation:

Sea x = la cantidad de artículos vendidos

De la pregunta,

Precio de costo = 60 x + 4000

Venta (precio de venta) = 80x

También nos dieron ganancias como S12000

Para determinar la ganancia

Precio de venta: precio de costo = beneficio (cuando el precio de venta es más alto que el precio de costo)

Por lo tanto,

12,000 = 80x - (60x + 4000)

12,000 = 80x - 60x - 4000

Recolectando términos similares

12,000 + 4,000 = 80x - 60x

16,000 = 20x

x = 16,000 / 20

x = 800

Por lo tanto, la cantidad de artículos que se venderán si desea obtener una ganancia de S12,000 es de 800 artículos.

7 0
3 years ago
Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.
quester [9]
An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex.  Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9).  Therefore, a = 5/9, and the 
equation of the parabola is

y+1 = (5/9)(x+1)
8 0
3 years ago
I need help plz!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Taya2010 [7]

Answer:

16

Step-by-step explanation:

Since 2+2 is in parenthesis you do that first. So now you have 8/2(4). 8/2= 4. 4*4 = 16

4 0
3 years ago
The graph of the linear parent function is a ________________ line.
Vadim26 [7]

Answer:

straight ?

Step-by-step explanation:

7 0
3 years ago
Other questions:
  • Which speed is the fastest?
    8·1 answer
  • The expression 40x2 – 65x + 50 represents the sum of the interior angles of a regular pentagon in degrees. If the interior angle
    10·2 answers
  • 8.75 round to the nearest hundredths
    13·1 answer
  • Find f(-5) if f(x)=|x+1|
    9·2 answers
  • 8 to the -2nd power times a to the 7th power
    5·1 answer
  • Find angle x on the given figure
    7·1 answer
  • Find the values of x,y, and z. The diagram is not to scale.
    8·1 answer
  • Emily and her friends pick 27 lb of blueberries each pound of blueberries contains 195 blueberries how much blueberries been Emi
    6·1 answer
  • Which of the following shapes is a parallelogram that always has four congruent sides?
    8·1 answer
  • Can i make a triangle with side lengths of 6cm, 5cm, and 1cm
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!