Does anyone know this one?
1 answer:
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Answer:
<h2>a) 0.5367feet</h2><h2>b) 0.5223feet</h2><h2>c) 0.7292feet</h2>Step-by-step explanation:
Given the rate at which an eucalyptus tree will grow modelled by the equation 0.5+6/(t+4)³ feet per year, where t is the time (in years).
The amount of growth can be gotten by integrating the given rate equation as shown;
a) The number of feet that the tree will grow in the second year can be gotten by taking the limit of the integral from t =1 to t = 2
b) The number of feet that the tree will grow in the third year can be gotten by taking the limit of the integral from t =2 to t = 3
c) The total number of feet grown during the second year can be gotten by substituting the value of limit from t = 0 to t = 2 into the equation as shown
Answer:
The solutions are
and the x-intercepts of
are
Step-by-step explanation:
Finding the solutions to means finding the roots, a root is where the function is equal to zero.
The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.
To find the roots you need to:
Rewrite the equation with and
Solve by factoring
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions to the quadratic equation are:
Substitute back , solve for x
Apply the difference of squares formula
Using the Zero factor Theorem: if ab = 0 then a = 0 or b = 0 (or both a = 0 and b = 0)
The solutions are:
Because two of the solutions are complex roots the only x-intercepts are
Hi, there.
_____
"5 less than 4 times a number" 4x-5
"is the same as" =
"9 times the number" 9x
Putting the parts together,
Solving the two step equation
Divide both sides by -5
So the A answer checks.
Hope the answer - and explanation - made sense,
happy studying!!