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Dmitriy789 [7]
3 years ago
8

I need help on number 18

Mathematics
1 answer:
Shtirlitz [24]3 years ago
3 0
I can't see the price for shoe rentals but the expression should be
 total cost in dollars (y)=(number of games (3) X the price of a game ($4)) + price of shoes. Plug in your values and you should get y=$12+shoes.  
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Consider the differential equationy′′+3y′−10y=0.(a) Find the general solution to this differential equation.(b) Now solve the in
RSB [31]

Answer:

Y= 2e^(5t)

Step-by-step explanation:

Taking Laplace of the given differential equation:

s^2+3s-10=0

s^2+5s-2s-10=0

s(s+5)-2(s+5) =0

(s-2) (s+5) =0

s=2, s=-5

Hence, the general solution will be:

Y=Ae^(-2t)+ Be^(5t)………………………………(D)

Put t = 0 in equation (D)

Y (0) =A+B

2 =A+B……………………………………… (i)

Now take derivative of (D) with respect to "t", we get:

Y=-2Ae^(-2t)+5Be^(5t)   ....................... (E)

Put t = 0 in equation (E) we get:

Y’ (0) = -2A+5B

10  = -2A+5B ……………………………………(ii)

2(i) + (ii) =>

2A+2B=4 .....................(iii)

-2A+5B=10 .................(iv)

Solving (iii) and (iv)

7B=14

B=2

Now put B=2 in (i)

A=2-2

A=0

By putting the values of A and B in equation (D)

Y= 2e^(5t)

6 0
3 years ago
How do I set this up to solve as a linear equation?
NISA [10]
I don't see any numbers to set up in an equation or letters
4 0
3 years ago
When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?
amm1812

Answer:

(3x+4)(2x-5)

Step-by-step explanation:

Factor by grouping.

8 0
3 years ago
5 2/5 x 9 2/10<br><br> Please help *multiplying fractions
Maurinko [17]

Answer:

18/5 or 3 3/5

Step-by-step explanation:

Depends if you want it simplified

6 0
3 years ago
Kimberly wrote a check for $58 to pay her monthly telephone bill, but when balancing her checkbook, she accidentally recorded it
aksik [14]

Answer:

C. The balance in her check register will be $116 over the balance on her bank statement.

8 0
3 years ago
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