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3 years ago

Write an explicit formula for the following sequence. Then generate the first five terms.

Mathematics

1 answer:

ivann1987 [24]3 years ago

7 0

Nth term an = a1 r^(n-1)
= 512 (0.5)^(n-1) Answer

First 5 terms are:-

512 , 256 , 128, 64 , 32

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Someone help me with this.

Mandarinka [93]

Answer:

2x² + 13x + 15

Step-by-step explanation:

| 2x | 3

x | 2x*x = 2x² | 3*x = 3x

5 | 2x*5 = 10x | 3*5 = 15

We have, 2x² + 3x + 10x + 15

Combining like terms, we would have the final expression as:

2x² + 13x + 15

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3 years ago

If a+b=10 and ab=24, find the values of a and b.

Vlad [161]

The values of a and b are 4 & 6

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3 years ago

Function g is graphed. Find lim when x approaches 0 (2g(x)). HURRY

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3 years ago

[10] In the following given system, determine a matrix A and vector b so that the system can be represented as a matrix equation

irina1246 [14]

Answer:

$y=-\frac{158}{579}$

Step-by-step explanation:

To find the matrix A, took all the numeric coefficient of the variables, the first column is for x, the second column for y, the third column for z and the last column for w:

$A=\left[\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right]$

And the vector B is formed with the solution of each equation of the system: $b=\left[\begin{array}{c}3\\-3\\6\\1\end{array}\right]$

To apply the Cramer's rule, take the matrix A and replace the column assigned to the variable that you need to solve with the vector b, in this case, that would be the second column. This new matrix is going to be called $A_{2}$ .

$A_{2}=\left[\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right]$

The value of y using Cramer's rule is:

$y=\frac{det(A_{2}) }{det(A)}$

Find the value of the determinant of each matrix, and divide:

$y==\frac{\left|\begin{array}{cccc}1&3&2&2\\-7&-3&5&-8\\4&6&1&1\\3&1&-1&1\end{array}\right|}{\left|\begin{array}{cccc}1&1&2&2\\-7&-3&5&-8\\4&1&1&1\\3&7&-1&1\end{array}\right|} =\frac{158}{-579}$

$y=-\frac{158}{579}$

7 0

3 years ago

Lauren keeps records of the distances she travels in a taxi and what she

Scrat [10]

Answer:

m = 2.25

Step-by-step explanation:

In a standard equation of y = mx + b, m is the slope. In this situation, the slope is the price paid per mile.

To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁). I will use the points (3, 8.25) & (11, 26.25)

Plug in these values:

(26.25 - 8.25) / (11 - 3)

Simplify the parentheses.

= (18) / (8)

Simplify the fraction.

18/8

= 9/4

This is your slope.

In a dollar value, it is 9/4 of a dollar, or $2.25 per mile.

3 0

3 years ago