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barxatty [35]
3 years ago
6

For an arithmetic sequence,first term is 2 and the common difference is 3 find the sum of the first 11

Mathematics
1 answer:
romanna [79]3 years ago
6 0

Answer:

35

Step-by-step explanation:

by adding three to the next number each time, the answer is 35

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Andru [333]
To find the slope of the line containing the pair of points, subtract y2 to y1 and divide x2-x1.
y2-y1
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x2-x1
5 0
3 years ago
(-18x^2+12x-2)*(x^3+12x^2+48x+64)
prohojiy [21]
<h2>Answer:</h2>

-18x^5-204x^4-722x^3-600x^2+672x-128

<h2>Explanation:</h2>

( - 18 {x}^{2}  + 12x - 2)

( {x}^{3}  + 12 {x}^{2}  + 48x + 64)

There are multiple ways to solve this for example the foil method or the box method. I prefer to do the box method.

First we are going to set it up

After we set it up we have to solve it so first we are going to multiply

{x}^{3}  \times  - 18 {x}^{2}  =  - 18 {x}^{5}

We have to add the exponent

- 18 {x}^{2}  \times 12 {x}^{2}  =  - 216 {x}^{4}

- 18 {x}^{2}  \times 48x =  - 864 {x}^{3 }  \\  - 18{x}^{2}  \times 64 =  - 1152 {x}^{2}  \\ 12x \times  {x}^{3}  = 12 {x}^{4}  \\ 12x \times 12 {x}^{2}  = 144 {x}^{3}

12x \times 48x = 576 {x}^{2}  \\ 12x \times 64 = 768x

- 2  \times  {x}^{3}  =  - 2 {x}^{3}  \\  - 2 \times 12 {x}^{2}  =  - 24 {x}^{2}  \\  - 2 \times 48x =  - 96x \\  - 2 \times 64 =  - 128

Now we have to add them

-18x^5 stays because there is nothing to add to

Now we add the rest

-216 {x}^{4}  + 12 {x}^{4}  =  - 204 {x}^{4}

- 864 {x}^{3}  + 144 {x}^{3}  +  - 2 {x}^{3}  = -  722 {x}^{3}

768x - 96x = 672x

And -128 stays the same

- 1152 {x}^{2}  + 576 {x}^{2}  - 24 {x}^{2}  =  - 600 {x}^{2}

The answer is

-18x^5-204x^4-722x^3-600x^2+672x-128

5 0
4 years ago
Suppose that $12,724 is invested at an interest rate of 6.1% per year, compounded continuously. Find the exponential function th
olchik [2.2K]

Answer:

Exponential Function: A= P* e ^ {0.061t}

Balance after

t=1 $ 13,524.32

t=2 $ 14,374.99

t=5 $ 17,261.69

t=10 $ 23,417.64

Step-by-step explanation:

Formula used to find amount in the account after time t, given the interest rate is compounded continuously

A= Pe^r^t

where: P= principal amount or amount invested

r= interest rate

t= time

A= amount after time t

in our question we are given:

P=$12,724

r= 6.1% or 0.061

A= 12724 * e ^ (^0^.^0^6^1^)^t

The above equation is exponential function that describes the amount in the account after time t in years

Now, for t = 1

A= 12724 * e ^ {0.061 * 1}

A= $ 13,524.32

t=2

A= 12724 * e ^ {0.061 * 2}

A= $ 14,374.99

t= 5

A= 12724 * e ^ {0.061 * 5}

A= $ 17,261.69

t=10

A= 12724 * e ^ {0.061 * 10}

A= $ 23,417.64

7 0
4 years ago
Which of these graphs has its maximum point on the line x=3
Yuliya22 [10]

Answer:

The last graph

Step-by-step explanation:

We are given two tips for finding our graph, it has a max point and the point of the line is x = 3. Meaning that this graph must open down and should not go anything further than 3 on the y graph.

The only one that fits this proposition is the last graph. Making it correct.

8 0
2 years ago
Read 2 more answers
The scatter plot below shows the average points scored per game by players of different ages in an adult basketball league. Whic
Kamila [148]

Answer:

Average is 22.72

Step-by-step explanation:

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4 years ago
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