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Sauron [17]
2 years ago
10

Solve the system of equations using substitution: 7y+2x=16 5y-9=x

Mathematics
1 answer:
7nadin3 [17]2 years ago
5 0
7y+2(5y-9)=16
7y+10y-18=16
17y=34
y=2

5(2)-9=x
10-9=x
x=1
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Kathy is standing directly between two tall buildings which are 100 feet apart. Her eye level is 5 feet above the ground. Kathy
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A survey asked 72 randomly chosen students if they were going to attend the school play twelve said yes, predict the number of s
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8 0
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(with steps please) Find the inverse Laplace transform, f(t), of the function: s/((s^2+9)*(s^2+16))
sveta [45]

Answer:

Step-by-step explanation:

Given is a Laplace transform of f(t) as

F(s) = \frac{s}{(s^2+9)(s^2+16)}

Let

\frac{s}{(s^2+9)(s^2+16)}=\frac{As+B}{(s^2+9)}+\frac{Cs+D}{(s^2+16)}

Solving we get \:s=s^3\left(A+C\right)+s^2\left(B+D\right)+s\left(16A+9C\right)+\left(16B+9D\right)

A+C=0:  B+D=0: 16A+9C=1 and 16B+9D=0

Solving B=0=D

A=\frac{1}{7} \\C=\frac{-1}{7}

Hence we have

f(t) = inverse Laplace of

\frac{1}{7}[ \frac{s}{(s^2+9)}-\frac{s}{(s^2+16)}]

=\frac{1}{7} (cos 3t-cos 4t)

4 0
3 years ago
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