The data in the table represent the fuel economy (mpg) for a car at different speeds (mph).
1 answer:
My graphing calculator computes the best match to a cubic function, which predicts mileage of about 39.7 mpg at 65 mph.
The second-best match is to a quadratic function, which predicts mileage of 29.8 mpg at 65 mph.
Linear regression predicts mileage of about 36.6 mpg at 65 mph.
It appears the best choice of those offered is (D) about 36 mpg.
The second-best match is to a quadratic function, which predicts mileage of 29.8 mpg at 65 mph.
Linear regression predicts mileage of about 36.6 mpg at 65 mph.
It appears the best choice of those offered is (D) about 36 mpg.
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Answer:
a=3 and b=-2
Step-by-step explanation:
We are given that five terms of a quadratic sequence are
1 8, 21, 40, 65.
The nth term of this sequence
=
We have to find the value of a and b where a and b are integers.
For n=1
......(1)
For n=2
.....(2)
Subtract equation (1) from (2) we get
Using the value of a=3 in equation (1)
Hence, the value of
a=3 and b=-2
Answer:
root estimate = 1.75
error bound = 0.25
Step-by-step explanation:
f is a polynomial, so it is continuous in R (real numbers). Then you can use Bolzano's theorem.
f(0) = -3.1 < 0
f(2) = 4 - 3.1 = 0.9 > 0
Then there exists c in [0, 2], for which f(c) = 0
In the bisection method you generate a sequence of approximations of a root. If you have a bracketing interval [a, b], such that
f(a) and f(b) have opposite signs, then you use approximate the root as
In this case:
Then:
The error bound is half the width of the interval [1.5, 2]