An equation of a function y(t) is shown.
1 answer:
From the given function, to explain the correct answer I will plot the graph for :
y(t)=-t^2+14t-40
thus the graph will be as shown in the figure:
From the graph we deduce that the correct statement is:
y'(t)=-2t+14=0
thus
t=7
thus
y(7)=0
thus the correct statement is:
<span>c. The average rate of change over the interval 6≤t≤8 is 0</span>
y(t)=-t^2+14t-40
thus the graph will be as shown in the figure:
From the graph we deduce that the correct statement is:
y'(t)=-2t+14=0
thus
t=7
thus
y(7)=0
thus the correct statement is:
<span>c. The average rate of change over the interval 6≤t≤8 is 0</span>
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Answer:
Axis of symmetry: x=-2
Maximum point: (-2,8)
Step-by-step explanation:
The given function is .
We can complete the square to reveal the axis of symmetry and the vertex.
We factor to get:
We add the zero pairs and obtain a perfect square:
The function is now in the form , where V(h,k) =(-2,8) is the vertex.
Answer:
x ≈ -0.24
Explanation:
Using a graphing tool to graph the given equation, we will end up with the graph shown in the attached image.
Now, to solve the equation means to find the x-intercept.
Taking a look at the graph, we would find that the x-intercept is somewhere between the -0.2 and the -0.3
This means that the best choice is x ≈ -0.24
We can check using algebraic substitution:
-3x + 2 = -3(-0.24) + 2 = 2.72
4ˣ +2 = 4⁻⁰.²⁴ + 2 = 2.7169
We can note that the two values are almost equal.
Hope this helps :)
x ≈ -0.24
Explanation:
Using a graphing tool to graph the given equation, we will end up with the graph shown in the attached image.
Now, to solve the equation means to find the x-intercept.
Taking a look at the graph, we would find that the x-intercept is somewhere between the -0.2 and the -0.3
This means that the best choice is x ≈ -0.24
We can check using algebraic substitution:
-3x + 2 = -3(-0.24) + 2 = 2.72
4ˣ +2 = 4⁻⁰.²⁴ + 2 = 2.7169
We can note that the two values are almost equal.
Hope this helps :)