Answer:
-1.0, 1.0
Step-by-step explanation:
The given polynomial function is
f(x) = 2 {x}^{4} - {x}^{3} + x - 2
According to the Rational Roots Theorem, the possible roots of this function are;
\pm1,\pm \frac{1}{2}
We now use the Remainder Theorem to obtain;
f(1) = 2 {(1)}^{4} - {(1)}^{3} + 1 - 2
f(1) = 2 - 1+ 1 - 2 = 0
f( - 1) = 2 {( - 1)}^{4} - {( - 1)}^{3} - 1 - 2
f( - 1) = 2 + 1 - 1 - 2 = 0
But;
f( \frac{1}{2} ) = - 1.5
f( - \frac{1}{2} ) = - 2.25
Since f(1)=0 and f(-1)=0, the real zeros to the nearest tenth are:
-1.0 and 1.0
Answer:
x=3
Step-by-step explanation:
Non Residents:
f(x)= money in $ paid.
x=number of days.
f(x)=x(12+3.5)=15.5 x
f(x)=15.5x
Arkansas residents
f(x)=money in $ paid.
x=number of days.
f(X)=x+174
Now, we equate functions:
15.5x=x+174 (this is the equation)
15.5x-x=174
14.5x=174
x=174 / 14.5=12
Answer: the number of days is 12 days. The ecuation has one solution, because when I has solved it, I have had one solution.
Answer:
the side length is 3.
Step-by-step explanation:
you would do 11/3 2/3
and you would get 3
Answer:
We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
Step-by-step explanation:
We are given the following in the question:
Population mean, μ = 31.7 milligrams
Sample mean, 
= 28.5 milligrams
Sample size, n = 9
Alpha, α = 0.05
Sample standard deviation, s = 2.8 milligrams
First, we design the null and the alternate hypothesis
We use One-tailed t test to perform this hypothesis.
Formula:
Putting all the values, we have
Now, 
Since,
We fail to accept the null hypothesis and accept the alternate hypothesis. We conclude that the mean nicotine content is less than 31.7 milligrams for this brand of cigarette.
