Is that dash supposed to be a minus or no
Answer:
Option (b) is correct.
The solution of the quadratic equation 
is -7 and 3
Step-by-step explanation:
Consider the given quadratic equation
This can be rewritten as, 
We can solve the quadratic equation using middle term splitting method,
4x can be written as 7x-3x , we get,
Taking terms common, we get,
Thus, 
Thus, we get (x-3)= 0 or (x+7)= 0
this gives x = 3 or x = -7
Thus, the solution of the quadratic equation is -7 and 3
Dy/dx = y/(x^2)
dy/y = dx/(x^2)
int[dy/y] = int[dx/(x^2)] ... apply integral to both sides
ln(|y|) = (-1/x) + C
|y| = e^{(-1/x) + C}
|y| = e^C*e^(-1/x)
|y| = C*e^(-1/x)
y = C*e^(-1/x)
So you have the correct answer. Nice job.
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Check:
y = C*e^(-1/x)
dy/dx = d/dx[C*e^(-1/x)]
dy/dx = d/dx[-1/x]*C*e^(-1/x)
dy/dx = (1/(x^2))*C*e^(-1/x)
is the expression for the left hand side (LHS)
y/(x^2) = [C*e^(-1/x)]/(x^2)
y/(x^2) = (1/(x^2))*C*e^(-1/x)
is the expression for the right hand side (RHS)
Since LHS = RHS, this confirms the solution for dy/dx = y/(x^2)
If I understand right you want the inverse of H(x)
H(x)=x
y=x
to calculate the inverse, isolate x, which is already the case, switch x and y, which doesn't change anything and that is your new function
the inverse is the same function in this case
so H⁻¹(x)=x
9514 1404 393
Answer:
A) B. 18-6
B) 20÷4
C) 20
Step-by-step explanation:
<u>Part A</u>
The order of operations tells you that the first step is to evaluate any expressions in parentheses. Here, that means you first evaluate (18 -6).
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<u>Part B</u>
After parentheses have been removed, the next step is to perform multiplication and division. Here, there is only one term involving division, so you divide 20 by 4 as your second step.
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<u>Part C</u>
After you have done parts A and B, your expression is ...
3 + 12 + 5
The value of this sum is 20.
