All categories

3 years ago

Slope interspect form

Mathematics

1 answer:

vlabodo [156]3 years ago

3 0

Y= 4x+5 because the slope intercept form would be y=mx+b
mx would be the slope and b is the other thing I forgot what it's called

You might be interested in

Please help me with the below question.

VMariaS [17]

By letting

$y = \displaystyle \sum_{n=0}^\infty c_n x^{n+r}$

we get derivatives

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

$y'' = \displaystyle \sum_{n=0}^\infty (n+r) (n+r-1) c_n x^{n+r-2}$

a) Substitute these into the differential equation. After a lot of simplification, the equation reduces to

$5r(r-1) c_0 x^{r-1} + \displaystyle \sum_{n=1}^\infty \bigg( (n+r+1) c_n + (n + r + 1) (5n + 5r + 1) c_{n+1} \bigg) x^{n+r} = 0$

Examine the lowest degree term $\left(x^{r-1}\right)$ , which gives rise to the indicial equation,

$5r (r - 1) + r = 0 \implies 5r^2 - 4r = r (5r - 4) = 0$

with roots at r = 0 and r = 4/5.

b) The recurrence for the coefficients $c_k$ is

$(k+r+1) c_k + (k + r + 1) (5k + 5r + 1) c_{k+1} = 0 \implies c_{k+1} = -\dfrac{c_k}{5k+5r+1}$

so that with r = 4/5, the coefficients are governed by

$c_{k+1} = -\dfrac{c_k}{5k+5} \implies \boxed{g(k) = -\dfrac1{5k+5}}$

c) Starting with $c_0=1$ , we find

$c_1 = -\dfrac{c_0}5 = -\dfrac15$

$c_2 = -\dfrac{c_1}{10} = \dfrac1{50}$

so that the first three terms of the solution are

$\displaystyle \sum_{n=0}^2 c_n x^{n + 4/5} = \boxed{x^{4/5} - \dfrac15 x^{9/5} + \frac1{50} x^{13/5}}$

4 0

2 years ago

Araceli had 61 pennies and then lost 12. Now she wants to buy a treat that costs 4 sevenths of the pennies she has left. How man

igor_vitrenko [27]

The treat would cost 7 cents of your 49

8 0

4 years ago

This symbol ≥ means that one number is ____ ____ or equal to another number

sukhopar [10]

It means that it is greater than

7 0

3 years ago

Read 2 more answers

Yo can yall help me need help to pass

kari74 [83]

Answer:

(3, 5)

Step-by-step explanation:

Point (3, -5) is 5 units below the x-axis.

After it is reflected, it will be 5 units above the x-axis.

Answer: (3, 5)

3 0

3 years ago

Read 2 more answers

Help i will mark you as brainliest if u get it correct

svlad2 [7]

Answer:

-0.3125

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers