Answer: The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
Step-by-step explanation:
If we have the graph of the equation y = f(x)
A dilation from the origin by a given factor, means that we multilpicate the function by that factor, so our new graph is:
y' = a*f(x)
where a is the scale factor, here a = 1/2.
so g' = (1/2)*g
then if E = (-4, 0)
E' = (1/2)*E = (-2, 0)
F = (0, 2)
F' = (1/2)*F = (1, 0)
Then the correct option is C The locations of E' and F' are E' (−2, 0) and F' (0, 1), and lines g and g' are parallel.
Answer:
it is 8.5 x 10^2 because when you times the 10 twice and then multiply it with 8.5 and the decimal moves
Answer:
- the value of the function changes sign in the interval
- the function is monotonic in the interval
Step-by-step explanation:
All polynomial functions are continuous, so we know from the intermediate value theorem that if the expression on the left changes sign in the interval [-2, 1] then there will be a zero in that interval. If the function is monotonic in the interval, there can only be one zero.
a) For f(x) = x^3 +x +3 = (x^2 +1)x +3, the values at the ends of the interval are ...
f(-2) = (4+1)(-2) +3 = -7
f(-1) = (1 +1)(-1) +3 = 1
The function value goes from -7 to +1 in the interval, so there exists at least one root in that interval.
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b) The derivative of the function is ...
f'(x) = 3x^2 +1
This is positive for any x, so is positive in the interval [-2, -1]. That is, the function is continuously increasing in that interval, so cannot have more than one crossing of the x-axis. There is exactly one root in the interval [-2, -1].
Answer:
b.The interquartile range for cars is about 7 mpg, and the interquartile range for minivans is about
3 mpg.
Step-by-step explanation:
i got it right
Question 1 is C and question 2 is A