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3 years ago

What is the value of x in the a.p x+1,2x-1 and x+5

Mathematics

1 answer:

xxTIMURxx [149]3 years ago

7 0

Answer:

x = 4

Step-by-step explanation:

Since the terms are in an arithmetic progression then there is a common difference between consecutive terms, that is

2x - 1 - (x + 1) = x + 5 - (2x - 1) ← distribute parenthesis on both sides

2x - 1 - x - 1 = x + 5 - 2x + 1, that is

x - 2 = - x + 6 ( add x to both sides )

2x - 2 = 6 ( add 2 to both sides )

2x = 8 ( divide both sides by 2 )

x = 4

The 3 terms are 5, 7, 9

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What is the value of 3 in the figure shown below?

NeX [460]

9514 1404 393

Answer:

Step-by-step explanation:

Angle E is congruent to angle C, so is the value required to make the sum of angles in triangle ABC be 180°.

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The value of x is 32.

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3 years ago

What is an end point of a ray

Slav-nsk [51]

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Step-by-step explanation:

Hope this Helps

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3 years ago

1) Use power series to find the series solution to the differential equation y'+2y = 0 PLEASE SHOW ALL YOUR WORK, OR RISK LOSING

iogann1982 [59]

$y=\displaystyle\sum_{n=0}^\infty a_nx^n$

then

$y'=\displaystyle\sum_{n=1}^\infty na_nx^{n-1}=\sum_{n=0}^\infty(n+1)a_{n+1}x^n$

The ODE in terms of these series is

$\displaystyle\sum_{n=0}^\infty(n+1)a_{n+1}x^n+2\sum_{n=0}^\infty a_nx^n=0$

$\displaystyle\sum_{n=0}^\infty\bigg(a_{n+1}+2a_n\bigg)x^n=0$

$\implies\begin{cases}a_0=y(0)\\(n+1)a_{n+1}=-2a_n&\text{for }n\ge0\end{cases}$

We can solve the recurrence exactly by substitution:

$a_{n+1}=-\dfrac2{n+1}a_n=\dfrac{2^2}{(n+1)n}a_{n-1}=-\dfrac{2^3}{(n+1)n(n-1)}a_{n-2}=\cdots=\dfrac{(-2)^{n+1}}{(n+1)!}a_0$

$\implies a_n=\dfrac{(-2)^n}{n!}a_0$

So the ODE has solution

$y(x)=\displaystyle a_0\sum_{n=0}^\infty\frac{(-2x)^n}{n!}$

which you may recognize as the power series of the exponential function. Then

$\boxed{y(x)=a_0e^{-2x}}$

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3 years ago

What is the value of |−44|?

yan [13]

Absolute value is simply the distance from zero on a number line. -44 is 44 away from zero, so the absolute value of -44 is

44

8 0

3 years ago

Read 2 more answers

Nikolai has a jar filled with 120 marbles. he has 72 red marbles, 17 blue marbles, 13 green marbles, and 18 purple marbles. what

asambeis [7]

To find the probability of both of these occurring, you will multiply the probability of choosing a blue marble by the probability of choosing a purple marble (with no replacement after the first one).

Probability of choosing a blue marble: 17/120
Probability of choosing a purple marble: 18/119

17/120 x 18/119 = 3/140

You will have a 3/140 chance of both of these occurring.

4 0

3 years ago