when this 3 digit number is rounded to the beater hundred it rounds to 900 .the digit in the ones place is the fifth odd number
1 answer:
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Answer:
Part A) Kesley is correct
Part B) g'(x)=3x2-2x-4
Part C) Graph attached
Part D) Explained
Step-by-step explanation:
Part A)
Kelsey is correct because no. of 0s in a 3rd degree polynomial be 3. which means the no. of intercepts will be 3. Thus Ray is incorrect as no. of 0s and x-intercept are similar thing.
Further a graph is attached of g(x) = x3 − x2 − 4x + 4 to describe the key features of g(x), including the end behavior. We can see that there are 3 x-intercepts at (2,0), (1,0) and (-2,0) which validates the point of Kelsey that the function can have as many as 3 zeros only because it is 3rd degree polynomial.
Part B)
As the second part of the new coaster is a parabola. To create a unique parabola in the pattern f(x) = ax2 + bx + c
finding derivative of g(x) picked in Part A) i.e.
g(x) = x3 − x2 − 4x + 4
g'(x)=3x2-2x-4
Graph of above is also attache.
From the graph we can see that its downwards directed parabola having vertex at (0.33, -4.33)
x-intercept at -0.87 and 1.53
y-intercept at (0,-4)
The axis of symmetry equation is a vertical line around which the parabola is symmetric is given by equation of a vertical line that passes through the vertex i.e. x=0.33
Part C)
Graph 3 is also attached.
Part D)
For a 15 seconds ad campaign, following features can be included:
Roller coaster that have a three rise
two sharp dips
the 2nd dip goes more deeper than the first one!
The term "autonomous" refers to an ordinary differential equation that relates the derivatives of the dependent variable as a function *only* of the dependent variable. In other words, the ODE doesn't explicitly depend on the independent variable.
Examples:
is autonomous
is *not* autonomous
Examples: