Derick studied 13 1/2 hours this week for a spelling bee. Write the number of hours as a decimal.
1 answer:
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Both of the solutions, x = {-4, -3}, are viable. There are no extraneous solutions.
_____
An extraneous solution would show up as the x-intercept associated with the missing branch of the square root function. Since both solutions are on the positive-square-root branch, they are both good solutions to the equation.
For graphing purposes, we have subtracted x to get
f(x) = √(3x+13) -5 -x
and we are looking for solutions to f(x)=0.
If you add 5 and square both sides, you get the quadratic equation
3x +13 = (x +5)²
x² +7x +12 = 0
(x +3)(x +4) = 0
x ∈ {-4, -3}
_____
An extraneous solution would show up as the x-intercept associated with the missing branch of the square root function. Since both solutions are on the positive-square-root branch, they are both good solutions to the equation.
For graphing purposes, we have subtracted x to get
f(x) = √(3x+13) -5 -x
and we are looking for solutions to f(x)=0.
If you add 5 and square both sides, you get the quadratic equation
3x +13 = (x +5)²
x² +7x +12 = 0
(x +3)(x +4) = 0
x ∈ {-4, -3}
Answer:
-- Component A
-- Component B
Step-by-step explanation:
Given
Distribution = Exponential
--- Component A
--- Component B
Solving (a): The mean time of A
The mean of an exponential distribution is:
We have:
--- Component A
Solving (b): The mean time of B
The mean of an exponential distribution is:
We have:
--- Component B
Answer: 0.08 m/s
Step-by-step explanation:
We are told the bug moves at a rate of:
And we have to convert this to units of , knowing
and
: