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slamgirl [31]
2 years ago
13

Find the x- and y-intercepts of the graph of 2x - y = 24. State your answers as

Mathematics
1 answer:
Ghella [55]2 years ago
6 0
(12,-24)
x intercept is 12 & y intercept is -24
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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
What is the intersection of the given lines AE and DE?
cricket20 [7]

Given statement is "What is the intersection of the given lines AE and DE?".

That gives us information that there are two lines named AE and DE which intersect each other. Now we have to find their intersection point.


If you see carefully the name of both lines AE and DE then you will find that; they have common letter "E" in their name.

That means point "E" lies on both lines.

We know that intersection point always lies on both lines.

Which proves that point "E" is the intersection point.


Hence choice "<u>B. Point E" </u>is the final answer.

7 0
2 years ago
Help please! Will give brainly
luda_lava [24]
1.) 9 - c < 2 , C = 7
Graph 7 on the number line.
2.) -3c > 15, C = -5
Graph -5 on the number line.
Hope this helps.
4 0
3 years ago
If a+b=2x-2 and a-b=4x-8
spin [16.1K]
What are you looking for? looking for x a or b?
4 0
3 years ago
When the expression 10^2021 − 2021 is evaluated, the result is a very large number.
Dafna11 [192]

Answer:

18,176

Step-by-step explanation:

Figure out an easier thing to do: 1000 - 2021 = 9,797.

Therefore, our answer will be like 9999999999999999999999997979. Out of all of these digits, there are only 2 that arent nines. We know the amount of digits since it's 10^2021 power. We will have one less since we are subtracting 2021. Therefore, 2020 digits in total. Now we know of those 2020 digits, 2 of them are 7, therefore 2018 of them are 9s. That means do 2018(9) + 2(7) = 14 + 18,162 =  18,176.

6 0
3 years ago
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