Step A: = –c + = Step B: = Determine the justification for the steps from the derivation of the quadratic formula. Justification
2 answers:
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Answer:
g(x) = (x + 2)(x − 1)(x − 2)
I picked the first one, because why not. :)
<u>End behavior.</u> This is a positive function; there are no negatives next to any of the xs. There are 3 xs, so it's a cubic; a positive cubic has a down-up end behavior.
<u>Y-intercept.</u> We can either graph this on the calculator/online or work it out algebraically. Multiply together the constants: +2 * -1 = -2, -2 * -2 = 4. So the y-intercept is at y = 4. (0,4). I've also attached the graph.
<u>Zeros / x-intercept.</u> This is really simple: set g(x) equal to 0, separate these three parenthesis (x+2) (x-1) and (x-2) into three equations by the Zero Product Property.
x+2 = 0
x = -2
x-1 = 0
x = 1
x-2 = 0
x = 2
So the function has three zeros at (-2,0) (1,0) and (2,0).
Answer:
The null hypothesis is:
The alternative hypothesis is:
Step-by-step explanation:
Consider the provided information.
It is given that the average air pressure in footballs used by the Patriots was significantly less than the allowable limit of 12.5 psi.
The null hypothesis indicates that there is no substantial difference between given populations, due to sampling or experimental error, any observed difference.
Therefore, the null hypothesis is:
The required alternative hypothesis is: