The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
What is Function?
A relation between a set of inputs having one output each is called a function.
Given that;
The graph of the function;
f(x) = –(x + 3)(x – 1)
Now,
Graph of the function is shown in attached image.
Which is a parabola, It goes through (- 3, 0), has a vertex at (- 1, 4), and goes through (1, 0).
Clearly, When x < -1
Take x = 0 < -1
The value of function;
f(x) = –(x + 3)(x – 1)
= - (0 + 3) (0 -1)
= -3 x -1
= 3
The function is positive.
Thus, The true statement about the function are;
⇒ The function is positive for all real values of x, where x < –1.
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Step-by-step explanation:
no diagram visible. there is nothing to calculate.
Answer:
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
Step-by-step explanation:
Information provided
n=100 represent the random sample ofcollege senior selected
X=53 represent the college seniors who say good
estimated proportion of seniors who think their job prospects are good
is the value that we want to test
z would represent the statistic
represent the p value
System of hypothesis
We are tryng to proof if more than half of all seniors think their job prospects are good so that would be the alternative hypothesis and the complement rule would be the null hypothesis.:
Null hypothesis:
Alternative hypothesis:
The statistic is given by:
(1)
Replacing the info given we have:
The p value for this case would be given by
400 miles in 1 hour = 400 x 5 miles in 5 hours = 2,000