Answer:
x = - 2
Step-by-step explanation:
- 8 = - 2x - 12
- 8 + 12 = - 2x - 12 + 12
- 2x = 4
- 2x ÷ - 2 = 4 ÷ - 2
x = - 2
(9√25) /√50 = 9*5/√50 now simplify the denominator. √50=√25*√2=5√2
so (9*5)/(5√2) simplifies to 9/√2. To rationalize the denominator multiply both the numerator and the denominator by √2.
9√2/(√2*√2) = 9√2/2
We can’t answer this question without more info. It’s clearly a multiple choice question, so you need to provide the answers.
Answer:
x = 50*e∧ -t/100
Step-by-step explanation:
We assume:
1.-That the volume of mixing is always constant 300 gallons
2.-The mixing is instantaneous
Δ(x)t = Amount in - Amount out
Amount = rate * concentration*Δt
Amount in = 3 gallons/ min * 0 = 0
Amount out = 3 gallons/min * x/ 300*Δt
Then
Δ(x)t/Δt = - 3*x/300 Δt⇒0 lim Δ(x)t/Δt = dx/dt
dx/dt = - x/100
dx/ x = - dt/100
A linear first degree differential equation
∫ dx/x = ∫ - dt/100
Ln x = - t/100 + C
initial conditions to determine C
t= 0 x = 50 pounds
Ln (50) = 0/100 * C
C = ln (50)
Then final solution is:
Ln x = - t/100 + Ln(50) or
e∧ Lnx = e ∧ ( -t/100 + Ln(50))
x = e∧ ( -t/100) * e∧Ln(50)
x = e∧ ( -t/100) * 50
x = 50*e∧ -t/100
The graph of g(x) = f(x) + 5 will have the graph of f(x) moved 5 units upward. The best choice is the last one.
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Adding 5 to each y-value (the output of f(x)) moves it upward by 5 units.
