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2 years ago

X^3 - 5x^2+3x -15=0solve by factoring

Mathematics

1 answer:

yarga [219]2 years ago

4 0

Answer:

X=5

Step-by-step explanation:

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Anyone can help me with this

uysha [10]

Answer:

y = - 6x + 1

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 6, hence

y = - 6x + c ← is the partial equation

To find c substitute (- 1, 7) into the partial equation

7 = 6 + c ⇒ c = 7 - 6 = 1

y = - 6x + 1 ← equation of line

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3 years ago

The figure shows the graphs of three functions. One is the position function of a car, one is the velocity of the car, one is it

Anika [276]

a) Is the twitch - initial positive twitch or sudden movement, which is what makes the car jolt into action.

b) is the acceleration - graph shows the acceleration and deceleration of the car.

c) is the velocity - starts at 0 and increases until the car travels at its right speed.

d) is the position - assuming that the car is going on only one direction. This graph is the only one that does not go back to the x-axis.

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3 years ago

The angles of two pentagons are all equal to 108°. The length of one side of each pentagon measures 11 cm.

max2010maxim [7]

There is not enough information to determine whether the pentagons are congruent.

3 0

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

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

7 0

2 years ago

If 5,142 x 679= 3,491, then 51.42 x 67.9

nirvana33 [79]

Answer:

3.491

Step-by-step explanation:

move the decimal over 3 places.

5 0

3 years ago

X^3 - 5x^2+3x -15=0solve by factoring ​

X^3 - 5x^2+3x -15=0solve by factoring