(2x+3)*4 is less than or equal to 10. For x, the number, you would get x is greater than or equal to -1/4.
Answer:
When you see a formula like this, try to operate, so you will see some identities sooner or later. In this case, we have a substraction identity:
\frac{cos ( \alpha - \beta )}{cos \alpha cos \beta } = \frac{cos \alpha cos \beta + sin \alpha sin \beta }{cos \alpha cos \beta } = 1 + tan α · tan β
Step-by-step explanation:
Calculista Ambitious
the correct question in the attached figure
Let
s----------> total savings
case a) Israel added $80 to his savings
we know that
80=(1/8)*s-------> multiply by 8 both sides------> s=$640
the answer case a) is
the equation is
80=(1/8)*s
case b) Israel added $120 to his savings
we know that
120=(1/8)*s-------> multiply by 8 both sides------> s=$960
the answer case b) is
the equation is
120=(1/8)*s
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Answer:
add
Step-by-step explanation:
increased is another word for add
Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
