Answer:
false
Step-by-step explanation:
x can be equal to 2 or -2 since square root of a number can't be negative
Answer:
1,115 mL
Step-by-step explanation:
The original amount of OJ is what we're trying to find, so that will be our variable, x. Now, keep in mind the order of events to write the correct equation. We started with the x amount of OJ, then 240 mL was taken away, to leave us with 875 mL. So, x - 240 = 875. Then we solve this by adding 240 to both sides to get the x alone. This gives us x=1,115 mL!
Answer:
s=1
Step-by-step explanation:
3=-2(1-4s-5)+3
3=-2+8s+10+3
3=8s+11
3-11=8s
8=8s
8/8=s
s=1
hope it helps you!!
<span>It introduces the relationship between two variables and is called correlation. Proportionality or variation is state of relationship or correlation between two variables It has two types: direct variation or proportion which states both variables are positively correlation. It is when both the variables increase or decrease together. On the contrary, indirect variation or proportion indicates negative relationship or correlation. Elaborately, the opposite of what happens to direct variation. One increases with the other variables, you got it, decreases. This correlations are important to consider because you can determine and identify how two variables relates with one another. Notice x = y (direct), y=1/x (indirect)
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Let

, so that


Substituting into the ODE gives


The first series starts with a linear term, while the other two start with a constant. Extract the first term from each of the latter two series:


Finally, to get the series to start at the same index, shift the index of the first two series by replacing

with

. Then the ODE becomes

which can be consolidated to get
![\displaystyle\sum_{k\ge1}\bigg[(3k(k+1)+6(k+1))a_{k+1}+a_k\bigg]x^k+6a_1+a_0=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bk%5Cge1%7D%5Cbigg%5B%283k%28k%2B1%29%2B6%28k%2B1%29%29a_%7Bk%2B1%7D%2Ba_k%5Cbigg%5Dx%5Ek%2B6a_1%2Ba_0%3D0)
![\displaystyle\sum_{k\ge1}\bigg[3(k+1)(k+2)a_{k+1}+a_k\bigg]x^k+6a_1+a_0=0](https://tex.z-dn.net/?f=%5Cdisplaystyle%5Csum_%7Bk%5Cge1%7D%5Cbigg%5B3%28k%2B1%29%28k%2B2%29a_%7Bk%2B1%7D%2Ba_k%5Cbigg%5Dx%5Ek%2B6a_1%2Ba_0%3D0)
You're fixing the solution so that it contains the origin, which means

which in turn means

. With the given recurrence, it follows that

for all

, so the solution would be

. This is to be expected, since

is clearly a singular point for the ODE.