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Makovka662 [10]
2 years ago
15

Simplify this question

Mathematics
2 answers:
Serhud [2]2 years ago
8 0

Step-by-step explanation:

9x²/3x + 12x/3x + 1

= 3x/1 + 4/1 + 1

= 3x + 5

I hope this is true..

Serga [27]2 years ago
5 0
9x^2 +6x+6x+1
3x(3x+2) +6x +1

Answer = 3x +2+6x+1
=9x +3 or 3(3x+1)
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Use the method of reduction of order to find a second independent solution of the given differential equation. t2y'' + 3ty' + y
Charra [1.4K]

I assume you mean y_1=t^{-1}, and not y_1=t-1, since this doesn't satisfy the ODE.

Assume a second solution of the form y_2=vy_1, where v is a function of t. Then

{y_2}'=v'y_1+v{y_1}'

{y_2}''=v''y_1+2v'{y_1}'+v{y_1}''

Substituting into the ODE gives

t^2\left(\dfrac{v''}t-\dfrac{2v'}{t^2}+\dfrac{2v}{t^3}\right)+3t\left(\dfrac{v'}t-\dfrac v{t^2}\right)+\dfrac vt=0

\implies tv''+v'=0

\implies(tv')'=0

\implies tv'=C

\implies v'=\dfrac Ct

\implies v=C_1\ln|t|+C_2

\implies y_2=\dfrac{\ln t}t

where we omit the second term because it's already accounted for by y_1.

3 0
3 years ago
What I can do after completing the course of statistics?
algol13

Answer:

You can apply for Civil services, Statistical services, and the Economic services

Step-by-step explanation:

Source: https://www.tutoreye.com/blog/what-is-the-scope-of-statistics


3 0
3 years ago
The percent of decrease from 12 to 9.
MissTica
I’m pretty sure it’s 75%
7 0
3 years ago
Read 2 more answers
4.5x+ 7/9 x+2 1/3 + 1/6 x=5 1/18<br> What is the answer?? How would you solve it?? Please help!!
Travka [436]
18 is the least common denominator of all the fractions, so you can eliminate fractions by multiplying the equation by 18.

(4.5*18)x +((7/9)*18)x + (2 1/3)*18 + ((1/6)*18)x = (5 1/18)*18
81x +14x +42 +3x = 91 . . . . . simplify

Collect terms.
98x + 42 = 91
98x = 49 . . . . . . . . . subtract 42
x = 49/98 = 1/2

The solution is x = 1/2.

_____
You can also do the arithmetic with mixed numbers and fractions. The usual methods apply.
  (4.5 + 7/9 + 1/6)x + 2 1/3 = 5 1/18
  (49/9)x + 7/3 = 91/18
  (49/9)x = 49/18 . . . . . . . subtract 7/3
  x = (9/49)(49/18) = 9/18 = 1/2 . . . . . multiply by 9/49
This can be a little more tedious than the method above, but it works and it will give you the right answer. A calculator that works with fractions can make this solution as easy as the other one.
7 0
4 years ago
Martha bought new fish for her home aquarium. She Bought 3 guppies and 2 platies for a total of 13.95.Find the price of a guppy
Crazy boy [7]
Bought the same number of Guppies and only Hank bought 2 additional Platies. Thus, let’s subtract the total of Hank and Martha
=> 18.33 – 13. 95 = 4.38
Thus, Hank paid an additional of 4.34 for 2 platies. Let’s divide to get the price of platies
=> 4.34 / 2 = = 2.19 (price of platies each.)
Let’s solve for price of guppies
=> 13.95 – 4.34 = 9.61
=> 9.61 / 3 = 3.20 (Price of guppies each.)
8 0
3 years ago
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