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3 years ago

Write an explicit formula for an, the nth term of the sequence 11,2,-7

Mathematics

1 answer:

abruzzese [7]3 years ago

8 0

Answer:

$a_{n}$ = 20 - 9n

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 2 - 11 = - 7 - 2 = - 9

This indicates the sequence is arithmetic with nth term

$a_{n}$ = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 11 and d = - 9 , then

$a_{n}$ = 11 - 9(n - 1) = 11 - 9n + 9 = 20 - 9n

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Select the solution(s) of log2x=1−log(x+4).

mart [117]

Step-by-step explanation:

log2x = 1 - log(x+4)

log2x = log10 - log(x+4)

log2x = log[10/(x+4)]

2x = 10/(x+4)

2x(x+4) = 10

2x² + 8x - 10 = 0

÷2 both sides of equation

x² + 4x - 5 = 0

(x+5)(x-1) = 0

x = -5, 1

x isn't be -5 because logA, A need to be > 0

So, x value is 1

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2 years ago

4. Nolan would like to buy a computer that costs $1,476. Working as a

andreev551 [17]

Answer:

18 hours

Step-by-step explanation:

$1476 / $82 = 18

18 hours

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3 years ago

The graph of a linear function passes through the points (2, 4) and (8, 10).

Keith_Richards [23]

$\bf \begin{array}{lllll}
&x_1&y_1&x_2&y_2\\
% (a,b)
&({{ 2}}\quad ,&{{ 4}})\quad 
% (c,d)
&({{ 8}}\quad ,&{{ 10}})
\end{array}
\\\\\\
% slope = m
slope = {{ m}}= \cfrac{rise}{run} \implies 
\cfrac{{{ y_2}}-{{ y_1}}}{{{ x_2}}-{{ x_1}}}\implies \cfrac{10-4}{8-2}$

$\bf \stackrel{\textit{point-slope form}}{y-{{ y_1}}={{ m}}(x-{{ x_1}})}\qquad 
\begin{array}{llll}
\textit{plug in the values for }
\begin{cases}
y_1=4\\
x_1=2\\
m=\boxed{?}
\end{cases}\\
\textit{and solve for "y"}
\end{array}$

8 0

3 years ago

A line passes through the points (1,4) and (3, 4). Which is the equation of the line?

Alex777 [14]

Answer:

use the equation y2-y1/x1-x2 or the equation mx+b so 4x is the slope and 8 is the intercept...can u give me brainliest please and ill asure u of my fast response always

4 0

3 years ago

The sales tax on the model rocket shown is $1.92. What is the percent of sales tax? A drawing of a model rocket with a tag label

astraxan [27]

Answer:

The sales tax is 8%

Explanation:

We are given that:

The price of the rocket is $24 and the sales tax is $1.92

To get the percentage of the sales tax, all we have to do is divide the sales tax by the price of the rocket and then multiply the quotient by 100 (to convert the ratio to percentage)

This is done as follows:

% of sales tax = $\frac{tax}{price}*100$

% of sales tax = $\frac{1.92}{24}*100 = 8$ %

Hope this helps :)

4 0

3 years ago