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Tpy6a [65]
4 years ago
15

What is the twentieth term of the arithmetic sequence described by the equation an= 3n - 10?

Mathematics
1 answer:
sergij07 [2.7K]4 years ago
8 0

Answer:

The twentieth term is 50.

Step-by-step explanation:

The equation that describes the arithmetic sequence describes it's "general term", which means that all the numbers in that sequence must follow that equation. For instance, if we want to find the first term of the sequence we must make a = 1 and we have:

a1 = 3*1 - 10

a1 = -7

Therefore to find the twentieth term we need to make n equal to 20. This is done below:

a20 = 3*20 - 10

a20 = 60 - 10

a20 = 50

The twentieth term is 50.

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Is (6,-10) a solution of y=3x-8
Vitek1552 [10]
You can easily test this if you know that (6, -10) corresponds to (X, Y). Knowing this, you can: 

X = 6
Y = -10

you put this into your equation:

-10 = 3*6 - 8

calculate it:

-10 = 18 - 8
-10 = 10
This is not true of course, -10 is not equal to 10. Therefore, (6, -10) is not a solution of y = 3x-8 :)
6 0
3 years ago
CAN SOMEONE HELP REALLY FAST IM ON A TIMED TEST!!!!!The volume of a cube is 64 cubic inches. Which expression represents s, the
AnnyKZ [126]

Answer:

4

Step-by-step explanation:

The side length would be 4, but I'm a bit confused on what the "Recall the Formula" portion is about. I'm sorry if this doesn't help

6 0
4 years ago
Read 2 more answers
Rewrite the function y = x^2 - 6x + 14 in vertex form, y = (x - h)^2 + k.
Mila [183]

the equation of a parabola in

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is.


¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

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∣

∣

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∣

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−−−−−−−−−−−−−−−−−−−−−


where

(

h

,

k

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are the coordinates of the vertex and a


is a multiplier


to obtain this form

complete the square


y

=

x

2

+

2

(

4

)

x

+

16

−

16

+

14


⇒

y

=

(

x

+

4

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2

−

2

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in vertex form


⇒

vertex

=

(

−

4

,

−

2

)


to obtain the intercepts


∙

let x = 0, in the equation for y-intercept


∙

let y = 0, in the equation for x-intercept


x

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⇒

y

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=

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(

x

+

4

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2

−

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add 2 to both sides


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√

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note plus or minus


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graph{(y-x^2-8x-14)((x+4)^2+(y+2)^2-0.04)=0 [-10, 10, -5, 5]}

3 0
3 years ago
Read 2 more answers
7. Tyson obtained a loan from the bank at 7.5% simple interest for 2. 5 years. If the simple interest was
9966 [12]

Answer:

7.He borrowed $1853.33

8.She received $28990.936

Step-by-step explanation:

7.Let x be the amount borrowed by Tyson

Rate of interest = 7.5%

Time = 2.5 years

Simple Interest = 347.50

Formula : Si = \frac{P \times T \times R}{100}

Where SI = simple interest

P = Principal

T = Time

R = Rate of interest

Substitute the values in the formula :

347.50=\frac{x \times 2.5 \times 7.5}{100}\\\frac{347.50 \times 100}{2.5 \times 7.5}=x\\1853.33=x

Hence he borrowed $1853.33

8) Principal = 20000

Rate of interest = 9.5%

No. of compounds per year = 2

Time = 4 years

Formula : A=P(1+\frac{r}{n})z^{nt}

Where A= amount

r = Rate of interest

n = no. of compounds

t = time

Substitute the values in the formula :

So, A=20000(1+\frac{9.5}{200})^{2(4)}

A=28990.936

Hence she received $28990.936

8 0
3 years ago
Reflections. Please help me
Marat540 [252]

Answer:

  see the attachments

Step-by-step explanation:

I suggested to you on a different occasion that by using tracing paper or tissue paper, you could make a copy of the image that you could move in the desired way to find its new location.

Here, the first attachment shows the figure being drawn on a piece of tissue with the line of reflection and the axes origin also shown.

The second attachment shows the tissue flopped over and the origin and line of reflection aligned with their previous locations. The new location of the figure is fairly obvious.

For <em>reflection</em>, any point that was some distance from the line on one side will be reflected to the same distance from the line on the other side. The distance is measured perpendicular to the line.

___

<em>Comment on "the work"</em>

I only have a badly focused image of your original worksheet to work from, but even that is sufficient to illustrate the process and the result. It took longer to make and edit the photos than to do the drawing necessary to find the answer.

8 0
3 years ago
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